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May 9th, 2025
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  1. Thu May 8 09:54:23 2025
  2. Thu May 8 09:54:23 2025
  3. Thu May 8 09:54:23 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 8 09:54:23 2025 random seeds: d3e140f3 26d4378c
  5. Thu May 8 09:54:23 2025 MPI process 0 of 1
  6. Thu May 8 09:54:23 2025 Using 32 OpenMP threads
  7. Thu May 8 09:54:23 2025 factoring 203722998946979690775046704513559336298004920162324255574481068021568343162173786850729453935490231949815935523202965641574561932091176957383344545962114102555187639 (165 digits)
  8. Thu May 8 09:54:23 2025 searching for 15-digit factors
  9. Thu May 8 09:54:23 2025 commencing number field sieve (165-digit input)
  10. Thu May 8 09:54:23 2025 R0: -84164040744302243155927125392180
  11. Thu May 8 09:54:23 2025 R1: 110018137180554143
  12. Thu May 8 09:54:23 2025 A0: -1819236730394794226838582720683597310225387
  13. Thu May 8 09:54:23 2025 A1: 400102085086981484606215116694927851
  14. Thu May 8 09:54:23 2025 A2: 31685809561256598995597557333
  15. Thu May 8 09:54:23 2025 A3: -172758391073366899763
  16. Thu May 8 09:54:23 2025 A4: -10888567688418
  17. Thu May 8 09:54:23 2025 A5: 48240
  18. Thu May 8 09:54:23 2025 skew 52295875.72, size 4.724e-16, alpha -8.937, combined = 7.145e-13 rroots = 5
  19. Thu May 8 09:54:23 2025
  20. Thu May 8 09:54:23 2025 commencing relation filtering
  21. Thu May 8 09:54:23 2025 setting target matrix density to 130.0
  22. Thu May 8 09:54:23 2025 estimated available RAM is 257736.5 MB
  23. Thu May 8 09:54:24 2025 commencing duplicate removal, pass 1
  24. Thu May 8 09:59:36 2025 error -1 reading relation 121081293
  25. Thu May 8 10:02:07 2025 error -1 reading relation 178918315
  26. Thu May 8 10:02:20 2025 error -1 reading relation 183801181
  27. Thu May 8 10:02:52 2025 error -1 reading relation 197320206
  28. Thu May 8 10:04:20 2025 error -1 reading relation 232889595
  29. Thu May 8 10:04:26 2025 error -1 reading relation 235393787
  30. Thu May 8 10:04:36 2025 error -1 reading relation 239583952
  31. Thu May 8 10:04:45 2025 error -1 reading relation 243168870
  32. Thu May 8 10:04:51 2025 error -1 reading relation 245812838
  33. Thu May 8 10:04:57 2025 error -1 reading relation 248412720
  34. Thu May 8 10:06:26 2025 error -1 reading relation 285681176
  35. Thu May 8 10:06:46 2025 error -1 reading relation 295317164
  36. Thu May 8 10:06:54 2025 error -1 reading relation 298682252
  37. Thu May 8 10:07:06 2025 error -1 reading relation 304001357
  38. Thu May 8 10:07:12 2025 skipped 1 relations with b > 2^32
  39. Thu May 8 10:07:12 2025 skipped 153 malformed relations
  40. Thu May 8 10:07:12 2025 found 61527742 hash collisions in 306884169 relations
  41. Thu May 8 10:07:35 2025 added 121810 free relations
  42. Thu May 8 10:07:35 2025 commencing duplicate removal, pass 2
  43. Thu May 8 10:14:38 2025 found 64262721 duplicates and 242743258 unique relations
  44. Thu May 8 10:14:38 2025 memory use: 1705.5 MB
  45. Thu May 8 10:14:39 2025 reading ideals above 720000
  46. Thu May 8 10:14:39 2025 commencing singleton removal, initial pass
  47. Thu May 8 10:37:22 2025 memory use: 6024.0 MB
  48. Thu May 8 10:37:23 2025 reading all ideals from disk
  49. Thu May 8 10:37:28 2025 memory use: 11110.0 MB
  50. Thu May 8 10:37:55 2025 keeping 229281080 ideals with weight <= 200, target excess is 1178589
  51. Thu May 8 10:38:32 2025 commencing in-memory singleton removal
  52. Thu May 8 10:38:37 2025 begin with 242743258 relations and 229281080 unique ideals
  53. Thu May 8 10:38:56 2025 reduce to 136934851 relations and 110850938 ideals in 15 passes
  54. Thu May 8 10:38:56 2025 max relations containing the same ideal: 150
  55. Thu May 8 10:40:07 2025 removing 11680024 relations and 9680024 ideals in 2000000 cliques
  56. Thu May 8 10:40:12 2025 commencing in-memory singleton removal
  57. Thu May 8 10:40:15 2025 begin with 125254827 relations and 110850938 unique ideals
  58. Thu May 8 10:40:23 2025 reduce to 124506443 relations and 100408654 ideals in 9 passes
  59. Thu May 8 10:40:23 2025 max relations containing the same ideal: 144
  60. Thu May 8 10:41:18 2025 removing 8901721 relations and 6901721 ideals in 2000000 cliques
  61. Thu May 8 10:41:23 2025 commencing in-memory singleton removal
  62. Thu May 8 10:41:25 2025 begin with 115604722 relations and 100408654 unique ideals
  63. Thu May 8 10:41:33 2025 reduce to 115098930 relations and 92992777 ideals in 8 passes
  64. Thu May 8 10:41:33 2025 max relations containing the same ideal: 135
  65. Thu May 8 10:42:23 2025 removing 8073975 relations and 6073975 ideals in 2000000 cliques
  66. Thu May 8 10:42:27 2025 commencing in-memory singleton removal
  67. Thu May 8 10:42:30 2025 begin with 107024955 relations and 92992777 unique ideals
  68. Thu May 8 10:42:37 2025 reduce to 106571115 relations and 86457498 ideals in 9 passes
  69. Thu May 8 10:42:37 2025 max relations containing the same ideal: 125
  70. Thu May 8 10:43:24 2025 removing 7646749 relations and 5646749 ideals in 2000000 cliques
  71. Thu May 8 10:43:28 2025 commencing in-memory singleton removal
  72. Thu May 8 10:43:30 2025 begin with 98924366 relations and 86457498 unique ideals
  73. Thu May 8 10:43:35 2025 reduce to 98488341 relations and 80367207 ideals in 7 passes
  74. Thu May 8 10:43:35 2025 max relations containing the same ideal: 117
  75. Thu May 8 10:44:19 2025 removing 7391258 relations and 5391258 ideals in 2000000 cliques
  76. Thu May 8 10:44:23 2025 commencing in-memory singleton removal
  77. Thu May 8 10:44:25 2025 begin with 91097083 relations and 80367207 unique ideals
  78. Thu May 8 10:44:30 2025 reduce to 90660829 relations and 74531505 ideals in 8 passes
  79. Thu May 8 10:44:30 2025 max relations containing the same ideal: 111
  80. Thu May 8 10:45:12 2025 removing 7231376 relations and 5231376 ideals in 2000000 cliques
  81. Thu May 8 10:45:15 2025 commencing in-memory singleton removal
  82. Thu May 8 10:45:17 2025 begin with 83429453 relations and 74531505 unique ideals
  83. Thu May 8 10:45:21 2025 reduce to 82981421 relations and 68843285 ideals in 7 passes
  84. Thu May 8 10:45:21 2025 max relations containing the same ideal: 106
  85. Thu May 8 10:46:06 2025 removing 7132900 relations and 5132900 ideals in 2000000 cliques
  86. Thu May 8 10:46:09 2025 commencing in-memory singleton removal
  87. Thu May 8 10:46:11 2025 begin with 75848521 relations and 68843285 unique ideals
  88. Thu May 8 10:46:15 2025 reduce to 75375679 relations and 63227401 ideals in 8 passes
  89. Thu May 8 10:46:15 2025 max relations containing the same ideal: 99
  90. Thu May 8 10:46:47 2025 removing 7085303 relations and 5085303 ideals in 2000000 cliques
  91. Thu May 8 10:46:50 2025 commencing in-memory singleton removal
  92. Thu May 8 10:46:51 2025 begin with 68290376 relations and 63227401 unique ideals
  93. Thu May 8 10:46:55 2025 reduce to 67780348 relations and 57620042 ideals in 7 passes
  94. Thu May 8 10:46:55 2025 max relations containing the same ideal: 92
  95. Thu May 8 10:47:25 2025 removing 7074844 relations and 5074844 ideals in 2000000 cliques
  96. Thu May 8 10:47:28 2025 commencing in-memory singleton removal
  97. Thu May 8 10:47:29 2025 begin with 60705504 relations and 57620042 unique ideals
  98. Thu May 8 10:47:33 2025 reduce to 60139921 relations and 51965097 ideals in 10 passes
  99. Thu May 8 10:47:33 2025 max relations containing the same ideal: 85
  100. Thu May 8 10:47:59 2025 removing 7106707 relations and 5106707 ideals in 2000000 cliques
  101. Thu May 8 10:48:02 2025 commencing in-memory singleton removal
  102. Thu May 8 10:48:03 2025 begin with 53033214 relations and 51965097 unique ideals
  103. Thu May 8 10:48:06 2025 reduce to 52386403 relations and 46192798 ideals in 9 passes
  104. Thu May 8 10:48:06 2025 max relations containing the same ideal: 77
  105. Thu May 8 10:48:29 2025 removing 7186982 relations and 5186982 ideals in 2000000 cliques
  106. Thu May 8 10:48:31 2025 commencing in-memory singleton removal
  107. Thu May 8 10:48:32 2025 begin with 45199421 relations and 46192798 unique ideals
  108. Thu May 8 10:48:35 2025 reduce to 44427178 relations and 40208420 ideals in 9 passes
  109. Thu May 8 10:48:35 2025 max relations containing the same ideal: 72
  110. Thu May 8 10:48:55 2025 removing 7320252 relations and 5320252 ideals in 2000000 cliques
  111. Thu May 8 10:48:57 2025 commencing in-memory singleton removal
  112. Thu May 8 10:48:58 2025 begin with 37106926 relations and 40208420 unique ideals
  113. Thu May 8 10:49:00 2025 reduce to 36138132 relations and 33881510 ideals in 10 passes
  114. Thu May 8 10:49:00 2025 max relations containing the same ideal: 62
  115. Thu May 8 10:49:17 2025 removing 4040119 relations and 3150661 ideals in 889458 cliques
  116. Thu May 8 10:49:18 2025 commencing in-memory singleton removal
  117. Thu May 8 10:49:19 2025 begin with 32098013 relations and 33881510 unique ideals
  118. Thu May 8 10:49:21 2025 reduce to 31750986 relations and 30376338 ideals in 9 passes
  119. Thu May 8 10:49:21 2025 max relations containing the same ideal: 55
  120. Thu May 8 10:49:39 2025 relations with 0 large ideals: 4170
  121. Thu May 8 10:49:39 2025 relations with 1 large ideals: 47138
  122. Thu May 8 10:49:39 2025 relations with 2 large ideals: 561637
  123. Thu May 8 10:49:39 2025 relations with 3 large ideals: 2655350
  124. Thu May 8 10:49:39 2025 relations with 4 large ideals: 6509144
  125. Thu May 8 10:49:39 2025 relations with 5 large ideals: 9130850
  126. Thu May 8 10:49:39 2025 relations with 6 large ideals: 7677401
  127. Thu May 8 10:49:39 2025 relations with 7+ large ideals: 5165296
  128. Thu May 8 10:49:39 2025 commencing 2-way merge
  129. Thu May 8 10:50:01 2025 reduce to 19003215 relation sets and 17628567 unique ideals
  130. Thu May 8 10:50:01 2025 commencing full merge
  131. Thu May 8 10:56:37 2025 memory use: 2120.5 MB
  132. Thu May 8 10:56:38 2025 found 8084133 cycles, need 8038767
  133. Thu May 8 10:56:41 2025 weight of 8038767 cycles is about 1045268994 (130.03/cycle)
  134. Thu May 8 10:56:41 2025 distribution of cycle lengths:
  135. Thu May 8 10:56:41 2025 1 relations: 442877
  136. Thu May 8 10:56:41 2025 2 relations: 489012
  137. Thu May 8 10:56:41 2025 3 relations: 508406
  138. Thu May 8 10:56:41 2025 4 relations: 503977
  139. Thu May 8 10:56:41 2025 5 relations: 510329
  140. Thu May 8 10:56:41 2025 6 relations: 507842
  141. Thu May 8 10:56:41 2025 7 relations: 499952
  142. Thu May 8 10:56:41 2025 8 relations: 491300
  143. Thu May 8 10:56:41 2025 9 relations: 470746
  144. Thu May 8 10:56:41 2025 10+ relations: 3614326
  145. Thu May 8 10:56:41 2025 heaviest cycle: 28 relations
  146. Thu May 8 10:56:43 2025 commencing cycle optimization
  147. Thu May 8 10:57:01 2025 start with 76845048 relations
  148. Thu May 8 11:00:04 2025 pruned 3356691 relations
  149. Thu May 8 11:00:04 2025 memory use: 2064.6 MB
  150. Thu May 8 11:00:04 2025 distribution of cycle lengths:
  151. Thu May 8 11:00:04 2025 1 relations: 442877
  152. Thu May 8 11:00:04 2025 2 relations: 501017
  153. Thu May 8 11:00:04 2025 3 relations: 528427
  154. Thu May 8 11:00:04 2025 4 relations: 522610
  155. Thu May 8 11:00:04 2025 5 relations: 533448
  156. Thu May 8 11:00:04 2025 6 relations: 530694
  157. Thu May 8 11:00:04 2025 7 relations: 524517
  158. Thu May 8 11:00:04 2025 8 relations: 515025
  159. Thu May 8 11:00:04 2025 9 relations: 494232
  160. Thu May 8 11:00:04 2025 10+ relations: 3445920
  161. Thu May 8 11:00:04 2025 heaviest cycle: 28 relations
  162. Thu May 8 11:00:18 2025 RelProcTime: 3955
  163. Thu May 8 11:00:18 2025
  164. Thu May 8 11:00:18 2025 commencing linear algebra
  165. Thu May 8 11:00:18 2025 using VBITS=256
  166. Thu May 8 11:00:18 2025 stopping after matrix build
  167. Thu May 8 11:00:18 2025 initialized process (0,0) of 1 x 1 grid
  168. Thu May 8 11:00:19 2025 read 8038767 cycles
  169. Thu May 8 11:00:35 2025 cycles contain 30782113 unique relations
  170. Thu May 8 11:05:27 2025 read 30782113 relations
  171. Thu May 8 11:05:31 2025 using 20 quadratic characters above 4294917295
  172. Thu May 8 11:05:36 2025 building initial matrix
  173. Thu May 8 11:12:03 2025 memory use: 4206.7 MB
  174. Thu May 8 11:12:10 2025 read 8038767 cycles
  175. Thu May 8 11:12:11 2025 matrix is 8038588 x 8038767 (4059.3 MB) with weight 1261065524 (156.87/col)
  176. Thu May 8 11:12:11 2025 sparse part has weight 967645528 (120.37/col)
  177. Thu May 8 11:14:10 2025 filtering completed in 2 passes
  178. Thu May 8 11:14:13 2025 matrix is 8038198 x 8038375 (4059.2 MB) with weight 1261043547 (156.88/col)
  179. Thu May 8 11:14:13 2025 sparse part has weight 967639071 (120.38/col)
  180. Thu May 8 11:15:09 2025 BLanczosTime: 891
  181. Thu May 8 11:15:09 2025 elapsed time 01:20:46
  182. Thu May 8 12:35:22 2025
  183. Thu May 8 12:35:22 2025
  184. Thu May 8 12:35:22 2025 Msieve v. 1.54 (SVN Unversioned directory)
  185. Thu May 8 12:35:22 2025 random seeds: 6060919e 1f6bb811
  186. Thu May 8 12:35:22 2025 Using 96 OpenMP threads
  187. Thu May 8 12:35:22 2025 factoring 203722998946979690775046704513559336298004920162324255574481068021568343162173786850729453935490231949815935523202965641574561932091176957383344545962114102555187639 (165 digits)
  188. Thu May 8 12:35:23 2025 searching for 15-digit factors
  189. Thu May 8 12:35:23 2025 commencing number field sieve (165-digit input)
  190. Thu May 8 12:35:23 2025 R0: -84164040744302243155927125392180
  191. Thu May 8 12:35:23 2025 R1: 110018137180554143
  192. Thu May 8 12:35:23 2025 A0: -1819236730394794226838582720683597310225387
  193. Thu May 8 12:35:23 2025 A1: 400102085086981484606215116694927851
  194. Thu May 8 12:35:23 2025 A2: 31685809561256598995597557333
  195. Thu May 8 12:35:23 2025 A3: -172758391073366899763
  196. Thu May 8 12:35:23 2025 A4: -10888567688418
  197. Thu May 8 12:35:23 2025 A5: 48240
  198. Thu May 8 12:35:23 2025 skew 52295875.72, size 4.724e-16, alpha -8.937, combined = 7.145e-13 rroots = 5
  199. Thu May 8 12:35:23 2025
  200. Thu May 8 12:35:23 2025 commencing linear algebra
  201. Thu May 8 12:35:23 2025 using VBITS=256
  202. Thu May 8 12:35:23 2025 skipping matrix build
  203. Thu May 8 12:35:27 2025 matrix starts at (0, 0)
  204. Thu May 8 12:35:29 2025 matrix is 8038198 x 8038375 (4059.2 MB) with weight 1261043547 (156.88/col)
  205. Thu May 8 12:35:29 2025 sparse part has weight 967639071 (120.38/col)
  206. Thu May 8 12:35:29 2025 saving the first 240 matrix rows for later
  207. Thu May 8 12:35:31 2025 matrix includes 256 packed rows
  208. Thu May 8 12:35:36 2025 matrix is 8037958 x 8038375 (3647.0 MB) with weight 888254662 (110.50/col)
  209. Thu May 8 12:35:36 2025 sparse part has weight 827428566 (102.93/col)
  210. Thu May 8 12:35:36 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  211. Thu May 8 12:36:06 2025 commencing Lanczos iteration (96 threads)
  212. Thu May 8 12:36:06 2025 memory use: 4904.4 MB
  213. Thu May 8 12:37:14 2025 linear algebra at 0.4%, ETA 4h43m
  214. Thu May 8 12:38:36 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions
  215. Thu May 8 16:32:59 2025 lanczos halted after 31494 iterations (dim = 8037957)
  216. Thu May 8 16:33:37 2025 recovered 31 nontrivial dependencies
  217. Thu May 8 16:33:37 2025 BLanczosTime: 14294
  218. Thu May 8 16:33:37 2025
  219. Thu May 8 16:33:37 2025 commencing square root phase
  220. Thu May 8 16:33:37 2025 handling dependencies 1 to 64
  221. Thu May 8 16:33:37 2025 reading relations for dependency 1
  222. Thu May 8 16:33:38 2025 read 4018357 cycles
  223. Thu May 8 16:33:47 2025 cycles contain 15384554 unique relations
  224. Thu May 8 16:39:16 2025 read 15384554 relations
  225. Thu May 8 16:40:35 2025 multiplying 15384554 relations
  226. Thu May 8 16:51:35 2025 multiply complete, coefficients have about 832.03 million bits
  227. Thu May 8 16:51:38 2025 initial square root is modulo 29142517
  228. Thu May 8 16:59:16 2025 sqrtTime: 1539
  229. Thu May 8 16:59:16 2025 p65 factor: 15859940229207086025468550699068311950295986129376829958843275971
  230. Thu May 8 16:59:16 2025 p101 factor: 12845130309621902913200536917365945776854998557940990330356382051526003539133544719995161810464230909
  231. Thu May 8 16:59:16 2025 elapsed time 04:23:54
  232.  
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