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Jun 6th, 2025
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  1. Thu Jun 5 19:04:34 2025
  2. Thu Jun 5 19:04:34 2025
  3. Thu Jun 5 19:04:34 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 5 19:04:34 2025 random seeds: d1cf0ec2 fe7c82d4
  5. Thu Jun 5 19:04:34 2025 factoring 220673750191135166468355722765626358345012300374144235230216126835609412261068461897301903260519381599952442932079801608614622881420580482810186990197280753448520631242812075394766281682368747943046729646619917605013 (216 digits)
  6. Thu Jun 5 19:04:35 2025 searching for 15-digit factors
  7. Thu Jun 5 19:04:36 2025 commencing number field sieve (216-digit input)
  8. Thu Jun 5 19:04:36 2025 R0: 7386972767552790267187446662433619507
  9. Thu Jun 5 19:04:36 2025 R1: -1
  10. Thu Jun 5 19:04:36 2025 A0: 1
  11. Thu Jun 5 19:04:36 2025 A1: 1
  12. Thu Jun 5 19:04:36 2025 A2: 1
  13. Thu Jun 5 19:04:36 2025 A3: 1
  14. Thu Jun 5 19:04:36 2025 A4: 1
  15. Thu Jun 5 19:04:36 2025 A5: 1
  16. Thu Jun 5 19:04:36 2025 A6: 1
  17. Thu Jun 5 19:04:36 2025 skew 1.34, size 5.689e-11, alpha 2.428, combined = 2.253e-12 rroots = 0
  18. Thu Jun 5 19:04:36 2025
  19. Thu Jun 5 19:04:36 2025 commencing relation filtering
  20. Thu Jun 5 19:04:36 2025 setting target matrix density to 104.0
  21. Thu Jun 5 19:04:36 2025 estimated available RAM is 15938.6 MB
  22. Thu Jun 5 19:04:36 2025 commencing duplicate removal, pass 1
  23. Thu Jun 5 19:15:33 2025 error -15 reading relation 58885263
  24. Thu Jun 5 19:21:44 2025 skipped 1 relations with b > 2^32
  25. Thu Jun 5 19:21:44 2025 found 4019214 hash collisions in 95686487 relations
  26. Thu Jun 5 19:22:00 2025 added 2438534 free relations
  27. Thu Jun 5 19:22:00 2025 commencing duplicate removal, pass 2
  28. Thu Jun 5 19:22:57 2025 found 0 duplicates and 98125021 unique relations
  29. Thu Jun 5 19:22:57 2025 memory use: 261.2 MB
  30. Thu Jun 5 19:22:57 2025 reading ideals above 51970048
  31. Thu Jun 5 19:22:57 2025 commencing singleton removal, initial pass
  32. Thu Jun 5 19:37:55 2025 memory use: 2756.0 MB
  33. Thu Jun 5 19:37:55 2025 reading all ideals from disk
  34. Thu Jun 5 19:37:57 2025 memory use: 1780.3 MB
  35. Thu Jun 5 19:38:05 2025 commencing in-memory singleton removal
  36. Thu Jun 5 19:38:13 2025 begin with 98125021 relations and 82451585 unique ideals
  37. Thu Jun 5 19:39:46 2025 reduce to 63154591 relations and 43802313 ideals in 13 passes
  38. Thu Jun 5 19:39:46 2025 max relations containing the same ideal: 52
  39. Thu Jun 5 19:39:56 2025 reading ideals above 720000
  40. Thu Jun 5 19:39:57 2025 commencing singleton removal, initial pass
  41. Thu Jun 5 19:54:38 2025 memory use: 1378.0 MB
  42. Thu Jun 5 19:54:38 2025 reading all ideals from disk
  43. Thu Jun 5 19:54:45 2025 memory use: 2324.5 MB
  44. Thu Jun 5 19:54:59 2025 keeping 49709506 ideals with weight <= 200, target excess is 316159
  45. Thu Jun 5 19:55:14 2025 commencing in-memory singleton removal
  46. Thu Jun 5 19:55:28 2025 begin with 63154591 relations and 49709506 unique ideals
  47. Thu Jun 5 19:56:16 2025 reduce to 63154575 relations and 49709490 ideals in 4 passes
  48. Thu Jun 5 19:56:16 2025 max relations containing the same ideal: 200
  49. Thu Jun 5 19:57:19 2025 removing 8400492 relations and 6400492 ideals in 2000000 cliques
  50. Thu Jun 5 19:57:23 2025 commencing in-memory singleton removal
  51. Thu Jun 5 19:57:31 2025 begin with 54754083 relations and 49709490 unique ideals
  52. Thu Jun 5 19:58:41 2025 reduce to 53782129 relations and 42298546 ideals in 9 passes
  53. Thu Jun 5 19:58:41 2025 max relations containing the same ideal: 188
  54. Thu Jun 5 19:59:27 2025 removing 6846983 relations and 4846983 ideals in 2000000 cliques
  55. Thu Jun 5 19:59:30 2025 commencing in-memory singleton removal
  56. Thu Jun 5 19:59:37 2025 begin with 46935146 relations and 42298546 unique ideals
  57. Thu Jun 5 20:00:42 2025 reduce to 46251662 relations and 36742365 ideals in 8 passes
  58. Thu Jun 5 20:00:42 2025 max relations containing the same ideal: 175
  59. Thu Jun 5 20:01:21 2025 removing 6335405 relations and 4335405 ideals in 2000000 cliques
  60. Thu Jun 5 20:01:24 2025 commencing in-memory singleton removal
  61. Thu Jun 5 20:01:30 2025 begin with 39916257 relations and 36742365 unique ideals
  62. Thu Jun 5 20:02:31 2025 reduce to 39279746 relations and 31744254 ideals in 8 passes
  63. Thu Jun 5 20:02:31 2025 max relations containing the same ideal: 155
  64. Thu Jun 5 20:03:10 2025 removing 6097663 relations and 4097663 ideals in 2000000 cliques
  65. Thu Jun 5 20:03:13 2025 commencing in-memory singleton removal
  66. Thu Jun 5 20:03:20 2025 begin with 33182083 relations and 31744254 unique ideals
  67. Thu Jun 5 20:04:05 2025 reduce to 32525803 relations and 26960019 ideals in 8 passes
  68. Thu Jun 5 20:04:05 2025 max relations containing the same ideal: 136
  69. Thu Jun 5 20:04:29 2025 removing 5961348 relations and 3961348 ideals in 2000000 cliques
  70. Thu Jun 5 20:04:31 2025 commencing in-memory singleton removal
  71. Thu Jun 5 20:04:34 2025 begin with 26564455 relations and 26960019 unique ideals
  72. Thu Jun 5 20:05:09 2025 reduce to 25844826 relations and 22239643 ideals in 9 passes
  73. Thu Jun 5 20:05:09 2025 max relations containing the same ideal: 118
  74. Thu Jun 5 20:05:31 2025 removing 5867456 relations and 3867456 ideals in 2000000 cliques
  75. Thu Jun 5 20:05:34 2025 commencing in-memory singleton removal
  76. Thu Jun 5 20:05:37 2025 begin with 19977370 relations and 22239643 unique ideals
  77. Thu Jun 5 20:06:00 2025 reduce to 19137060 relations and 17473698 ideals in 8 passes
  78. Thu Jun 5 20:06:00 2025 max relations containing the same ideal: 95
  79. Thu Jun 5 20:06:19 2025 removing 4066391 relations and 2769774 ideals in 1296617 cliques
  80. Thu Jun 5 20:06:22 2025 commencing in-memory singleton removal
  81. Thu Jun 5 20:06:24 2025 begin with 15070669 relations and 17473698 unique ideals
  82. Thu Jun 5 20:06:51 2025 reduce to 14486969 relations and 14083446 ideals in 10 passes
  83. Thu Jun 5 20:06:51 2025 max relations containing the same ideal: 78
  84. Thu Jun 5 20:07:07 2025 removing 224735 relations and 187957 ideals in 36778 cliques
  85. Thu Jun 5 20:07:09 2025 commencing in-memory singleton removal
  86. Thu Jun 5 20:07:12 2025 begin with 14262234 relations and 14083446 unique ideals
  87. Thu Jun 5 20:07:24 2025 reduce to 14259469 relations and 13892710 ideals in 5 passes
  88. Thu Jun 5 20:07:24 2025 max relations containing the same ideal: 77
  89. Thu Jun 5 20:07:29 2025 relations with 0 large ideals: 23745
  90. Thu Jun 5 20:07:29 2025 relations with 1 large ideals: 5148
  91. Thu Jun 5 20:07:29 2025 relations with 2 large ideals: 46250
  92. Thu Jun 5 20:07:29 2025 relations with 3 large ideals: 322891
  93. Thu Jun 5 20:07:29 2025 relations with 4 large ideals: 1221329
  94. Thu Jun 5 20:07:29 2025 relations with 5 large ideals: 2732887
  95. Thu Jun 5 20:07:29 2025 relations with 6 large ideals: 3758670
  96. Thu Jun 5 20:07:29 2025 relations with 7+ large ideals: 6148549
  97. Thu Jun 5 20:07:29 2025 commencing 2-way merge
  98. Thu Jun 5 20:07:47 2025 reduce to 9365566 relation sets and 8998807 unique ideals
  99. Thu Jun 5 20:07:47 2025 commencing full merge
  100. Thu Jun 5 20:15:12 2025 memory use: 1297.5 MB
  101. Thu Jun 5 20:15:14 2025 found 4437834 cycles, need 4417007
  102. Thu Jun 5 20:15:17 2025 weight of 4417007 cycles is about 460015369 (104.15/cycle)
  103. Thu Jun 5 20:15:17 2025 distribution of cycle lengths:
  104. Thu Jun 5 20:15:17 2025 1 relations: 221264
  105. Thu Jun 5 20:15:17 2025 2 relations: 299961
  106. Thu Jun 5 20:15:17 2025 3 relations: 344631
  107. Thu Jun 5 20:15:17 2025 4 relations: 355986
  108. Thu Jun 5 20:15:17 2025 5 relations: 357157
  109. Thu Jun 5 20:15:17 2025 6 relations: 350817
  110. Thu Jun 5 20:15:17 2025 7 relations: 333775
  111. Thu Jun 5 20:15:17 2025 8 relations: 313585
  112. Thu Jun 5 20:15:17 2025 9 relations: 285849
  113. Thu Jun 5 20:15:17 2025 10+ relations: 1553982
  114. Thu Jun 5 20:15:17 2025 heaviest cycle: 28 relations
  115. Thu Jun 5 20:15:20 2025 commencing cycle optimization
  116. Thu Jun 5 20:15:39 2025 start with 36597693 relations
  117. Thu Jun 5 20:17:35 2025 pruned 1623605 relations
  118. Thu Jun 5 20:17:35 2025 memory use: 971.1 MB
  119. Thu Jun 5 20:17:35 2025 distribution of cycle lengths:
  120. Thu Jun 5 20:17:35 2025 1 relations: 221264
  121. Thu Jun 5 20:17:35 2025 2 relations: 306137
  122. Thu Jun 5 20:17:35 2025 3 relations: 357353
  123. Thu Jun 5 20:17:35 2025 4 relations: 370183
  124. Thu Jun 5 20:17:35 2025 5 relations: 374286
  125. Thu Jun 5 20:17:35 2025 6 relations: 367583
  126. Thu Jun 5 20:17:35 2025 7 relations: 350508
  127. Thu Jun 5 20:17:35 2025 8 relations: 327546
  128. Thu Jun 5 20:17:35 2025 9 relations: 297244
  129. Thu Jun 5 20:17:35 2025 10+ relations: 1444903
  130. Thu Jun 5 20:17:35 2025 heaviest cycle: 28 relations
  131. Thu Jun 5 20:17:46 2025 RelProcTime: 4390
  132. Thu Jun 5 20:17:46 2025 elapsed time 01:13:12
  133. Thu Jun 5 21:01:12 2025
  134. Thu Jun 5 21:01:12 2025
  135. Thu Jun 5 21:01:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  136. Thu Jun 5 21:01:12 2025 random seeds: 7d652d0c 2e96056b
  137. Thu Jun 5 21:01:12 2025 factoring 220673750191135166468355722765626358345012300374144235230216126835609412261068461897301903260519381599952442932079801608614622881420580482810186990197280753448520631242812075394766281682368747943046729646619917605013 (216 digits)
  138. Thu Jun 5 21:01:13 2025 searching for 15-digit factors
  139. Thu Jun 5 21:01:13 2025 commencing number field sieve (216-digit input)
  140. Thu Jun 5 21:01:13 2025 R0: 7386972767552790267187446662433619507
  141. Thu Jun 5 21:01:13 2025 R1: -1
  142. Thu Jun 5 21:01:13 2025 A0: 1
  143. Thu Jun 5 21:01:13 2025 A1: 1
  144. Thu Jun 5 21:01:13 2025 A2: 1
  145. Thu Jun 5 21:01:13 2025 A3: 1
  146. Thu Jun 5 21:01:13 2025 A4: 1
  147. Thu Jun 5 21:01:13 2025 A5: 1
  148. Thu Jun 5 21:01:13 2025 A6: 1
  149. Thu Jun 5 21:01:13 2025 skew 1.34, size 5.689e-11, alpha 2.428, combined = 2.253e-12 rroots = 0
  150. Thu Jun 5 21:01:13 2025
  151. Thu Jun 5 21:01:13 2025 commencing linear algebra
  152. Thu Jun 5 21:01:13 2025 using VBITS=512
  153. Thu Jun 5 21:01:14 2025 read 4417007 cycles
  154. Thu Jun 5 21:01:24 2025 cycles contain 14065344 unique relations
  155. Thu Jun 5 21:02:35 2025 read 14065344 relations
  156. Thu Jun 5 21:03:02 2025 using 20 quadratic characters above 4294917295
  157. Thu Jun 5 21:03:54 2025 building initial matrix
  158. Thu Jun 5 21:06:13 2025 memory use: 1709.2 MB
  159. Thu Jun 5 21:06:15 2025 read 4417007 cycles
  160. Thu Jun 5 21:06:16 2025 matrix is 4416830 x 4417007 (1833.1 MB) with weight 524010332 (118.63/col)
  161. Thu Jun 5 21:06:16 2025 sparse part has weight 431942788 (97.79/col)
  162. Thu Jun 5 21:06:59 2025 filtering completed in 2 passes
  163. Thu Jun 5 21:07:00 2025 matrix is 4416655 x 4416799 (1833.1 MB) with weight 524003331 (118.64/col)
  164. Thu Jun 5 21:07:00 2025 sparse part has weight 431940091 (97.79/col)
  165. Thu Jun 5 21:07:14 2025 matrix starts at (0, 0)
  166. Thu Jun 5 21:07:15 2025 matrix is 4416655 x 4416799 (1833.1 MB) with weight 524003331 (118.64/col)
  167. Thu Jun 5 21:07:15 2025 sparse part has weight 431940091 (97.79/col)
  168. Thu Jun 5 21:07:15 2025 saving the first 496 matrix rows for later
  169. Thu Jun 5 21:07:16 2025 matrix includes 512 packed rows
  170. Thu Jun 5 21:07:20 2025 matrix is 4416159 x 4416799 (1736.7 MB) with weight 369935320 (83.76/col)
  171. Thu Jun 5 21:07:20 2025 sparse part has weight 349263213 (79.08/col)
  172. Fri Jun 6 08:22:05 2025
  173. Fri Jun 6 08:22:05 2025
  174. Fri Jun 6 08:22:05 2025 Msieve v. 1.54 (SVN unknown)
  175. Fri Jun 6 08:22:05 2025 random seeds: f57f58ab e8aa911e
  176. Fri Jun 6 08:22:05 2025 factoring 220673750191135166468355722765626358345012300374144235230216126835609412261068461897301903260519381599952442932079801608614622881420580482810186990197280753448520631242812075394766281682368747943046729646619917605013 (216 digits)
  177. Fri Jun 6 08:22:06 2025 no P-1/P+1/ECM available, skipping
  178. Fri Jun 6 08:22:06 2025 commencing number field sieve (216-digit input)
  179. Fri Jun 6 08:22:06 2025 R0: 7386972767552790267187446662433619507
  180. Fri Jun 6 08:22:06 2025 R1: -1
  181. Fri Jun 6 08:22:06 2025 A0: 1
  182. Fri Jun 6 08:22:06 2025 A1: 1
  183. Fri Jun 6 08:22:06 2025 A2: 1
  184. Fri Jun 6 08:22:06 2025 A3: 1
  185. Fri Jun 6 08:22:06 2025 A4: 1
  186. Fri Jun 6 08:22:06 2025 A5: 1
  187. Fri Jun 6 08:22:06 2025 A6: 1
  188. Fri Jun 6 08:22:06 2025 skew 1.34, size 5.689e-11, alpha 2.428, combined = 2.253e-12 rroots = 0
  189. Fri Jun 6 08:22:06 2025
  190. Fri Jun 6 08:22:06 2025 commencing linear algebra
  191. Fri Jun 6 08:22:06 2025 using VBITS=512
  192. Fri Jun 6 08:22:06 2025 skipping matrix build
  193. Fri Jun 6 08:22:11 2025 matrix starts at (0, 0)
  194. Fri Jun 6 08:22:11 2025 matrix is 4416655 x 4416799 (1833.1 MB) with weight 524003331 (118.64/col)
  195. Fri Jun 6 08:22:11 2025 sparse part has weight 431940091 (97.79/col)
  196. Fri Jun 6 08:22:11 2025 saving the first 496 matrix rows for later
  197. Fri Jun 6 08:22:12 2025 matrix includes 512 packed rows
  198. Fri Jun 6 08:22:15 2025 matrix is 4416159 x 4416799 (1736.7 MB) with weight 369935320 (83.76/col)
  199. Fri Jun 6 08:22:15 2025 sparse part has weight 349263213 (79.08/col)
  200. Fri Jun 6 08:22:15 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  201. Fri Jun 6 08:22:15 2025 selected card has CUDA arch 8.6
  202. Fri Jun 6 08:22:38 2025 commencing Lanczos iteration
  203. Fri Jun 6 08:22:38 2025 memory use: 4855.0 MB
  204. Fri Jun 6 08:22:53 2025 linear algebra at 0.3%, ETA 1h 6m
  205. Fri Jun 6 08:22:54 2025 checkpointing every 3810000 dimensions
  206. Fri Jun 6 09:41:11 2025 lanczos halted after 8640 iterations (dim = 4416159)
  207. Fri Jun 6 09:41:57 2025 recovered 38 nontrivial dependencies
  208. Fri Jun 6 09:41:58 2025 BLanczosTime: 4792
  209. Fri Jun 6 09:41:58 2025
  210. Fri Jun 6 09:41:58 2025 commencing square root phase
  211. Fri Jun 6 09:41:58 2025 handling dependencies 1 to 64
  212. Fri Jun 6 09:41:58 2025 reading relations for dependency 1
  213. Fri Jun 6 09:41:58 2025 read 2208506 cycles
  214. Fri Jun 6 09:42:02 2025 cycles contain 7031450 unique relations
  215. Fri Jun 6 09:42:36 2025 read 7031450 relations
  216. Fri Jun 6 09:43:04 2025 multiplying 7031450 relations
  217. Fri Jun 6 09:46:16 2025 multiply complete, coefficients have about 170.05 million bits
  218. Fri Jun 6 09:46:16 2025 initial square root is modulo 1266751
  219. Fri Jun 6 09:49:50 2025 found factor: 1606619974851740871927661441943375408484634741713275350634209557140483311763
  220. Fri Jun 6 09:49:50 2025 reading relations for dependency 2
  221. Fri Jun 6 09:49:51 2025 read 2208174 cycles
  222. Fri Jun 6 09:49:54 2025 cycles contain 7033068 unique relations
  223. Fri Jun 6 09:50:29 2025 read 7033068 relations
  224. Fri Jun 6 09:50:58 2025 multiplying 7033068 relations
  225. Fri Jun 6 09:54:09 2025 multiply complete, coefficients have about 170.09 million bits
  226. Fri Jun 6 09:54:10 2025 initial square root is modulo 1270897
  227. Fri Jun 6 09:57:44 2025 sqrtTime: 946
  228. Fri Jun 6 09:57:44 2025 p67 factor: 5155219503037806530020851129568969156690733622599944225730445706087
  229. Fri Jun 6 09:57:44 2025 p74 factor: 26643443357214130400302519926600043803972907045505679409884222949452388273
  230. Fri Jun 6 09:57:44 2025 p76 factor: 1606619974851740871927661441943375408484634741713275350634209557140483311763
  231. Fri Jun 6 09:57:44 2025 elapsed time 01:35:39
  232.  
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