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Jun 14th, 2025
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  1. Tue Jun 10 09:05:55 2025
  2. Tue Jun 10 09:05:55 2025
  3. Tue Jun 10 09:05:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jun 10 09:05:55 2025 random seeds: c80c9dcd d71eb1d5
  5. Tue Jun 10 09:05:55 2025 MPI process 0 of 1
  6. Tue Jun 10 09:05:55 2025 Using 32 OpenMP threads
  7. Tue Jun 10 09:05:55 2025 factoring 4744608519150025935924132856774381733876932474894245736744850540020089712592143192637375764553732560779755752189194338200694221630779110471528247226377969381870610835069421947 (175 digits)
  8. Tue Jun 10 09:05:55 2025 searching for 15-digit factors
  9. Tue Jun 10 09:05:56 2025 commencing number field sieve (175-digit input)
  10. Tue Jun 10 09:05:56 2025 R0: -7692542073086124253873222491314094
  11. Tue Jun 10 09:05:56 2025 R1: 655188595468055293004369
  12. Tue Jun 10 09:05:56 2025 A0: 389048501478040780494393889178220531735375
  13. Tue Jun 10 09:05:56 2025 A1: 119009402789784442797744016660032595
  14. Tue Jun 10 09:05:56 2025 A2: -1891878608357181362806325136
  15. Tue Jun 10 09:05:56 2025 A3: -946786683099626798863
  16. Tue Jun 10 09:05:56 2025 A4: 20409796376133
  17. Tue Jun 10 09:05:56 2025 A5: 526680
  18. Tue Jun 10 09:05:56 2025 skew 19844169.66, size 5.052e-17, alpha -6.929, combined = 1.929e-13 rroots = 5
  19. Tue Jun 10 09:05:56 2025
  20. Tue Jun 10 09:05:56 2025 commencing relation filtering
  21. Tue Jun 10 09:05:56 2025 setting target matrix density to 130.0
  22. Tue Jun 10 09:05:56 2025 estimated available RAM is 257736.5 MB
  23. Tue Jun 10 09:05:56 2025 commencing duplicate removal, pass 1
  24. Tue Jun 10 09:06:45 2025 error -1 reading relation 20814830
  25. Tue Jun 10 09:06:45 2025 error -1 reading relation 20818753
  26. Tue Jun 10 09:08:18 2025 error -1 reading relation 62784440
  27. Tue Jun 10 09:08:22 2025 error -1 reading relation 64459038
  28. Tue Jun 10 09:08:33 2025 error -1 reading relation 70670151
  29. Tue Jun 10 09:09:10 2025 error -1 reading relation 87631799
  30. Tue Jun 10 09:10:16 2025 error -1 reading relation 112279906
  31. Tue Jun 10 09:10:20 2025 error -1 reading relation 113908546
  32. Tue Jun 10 09:10:21 2025 error -1 reading relation 114109962
  33. Tue Jun 10 09:10:48 2025 error -1 reading relation 124706490
  34. Tue Jun 10 09:11:22 2025 error -1 reading relation 137405174
  35. Tue Jun 10 09:11:46 2025 error -1 reading relation 146575922
  36. Tue Jun 10 09:12:09 2025 error -1 reading relation 154997794
  37. Tue Jun 10 09:12:22 2025 error -1 reading relation 160313788
  38. Tue Jun 10 09:12:24 2025 error -1 reading relation 160858701
  39. Tue Jun 10 09:12:24 2025 error -1 reading relation 161073363
  40. Tue Jun 10 09:12:25 2025 error -1 reading relation 161234088
  41. Tue Jun 10 09:12:27 2025 error -1 reading relation 161983705
  42. Tue Jun 10 09:12:29 2025 error -1 reading relation 162705350
  43. Tue Jun 10 09:12:46 2025 error -1 reading relation 169270634
  44. Tue Jun 10 09:12:57 2025 error -1 reading relation 173221992
  45. Tue Jun 10 09:13:09 2025 error -1 reading relation 178177694
  46. Tue Jun 10 09:13:25 2025 error -1 reading relation 184066564
  47. Tue Jun 10 09:13:25 2025 error -1 reading relation 184254713
  48. Tue Jun 10 09:13:35 2025 error -1 reading relation 187957151
  49. Tue Jun 10 09:13:50 2025 error -15 reading relation 193622562
  50. Tue Jun 10 09:14:08 2025 error -15 reading relation 200284346
  51. Tue Jun 10 09:14:31 2025 error -1 reading relation 209639332
  52. Tue Jun 10 09:14:41 2025 error -5 reading relation 213247721
  53. Tue Jun 10 09:14:41 2025 error -1 reading relation 213247872
  54. Tue Jun 10 09:14:57 2025 error -1 reading relation 220115123
  55. Tue Jun 10 09:14:57 2025 error -1 reading relation 220115495
  56. Tue Jun 10 09:15:06 2025 error -1 reading relation 223671814
  57. Tue Jun 10 09:15:06 2025 error -1 reading relation 224032659
  58. Tue Jun 10 09:15:07 2025 error -1 reading relation 224133086
  59. Tue Jun 10 09:15:11 2025 error -1 reading relation 226150059
  60. Tue Jun 10 09:15:22 2025 error -1 reading relation 231025133
  61. Tue Jun 10 09:15:22 2025 error -1 reading relation 231070414
  62. Tue Jun 10 09:15:27 2025 error -1 reading relation 233806188
  63. Tue Jun 10 09:15:49 2025 error -1 reading relation 244627395
  64. Tue Jun 10 09:16:02 2025 error -1 reading relation 250554476
  65. Tue Jun 10 09:16:08 2025 skipped 257 malformed relations
  66. Tue Jun 10 09:16:08 2025 found 54622950 hash collisions in 253163522 relations
  67. Tue Jun 10 09:16:33 2025 added 121585 free relations
  68. Tue Jun 10 09:16:33 2025 commencing duplicate removal, pass 2
  69. Tue Jun 10 09:22:00 2025 found 56629149 duplicates and 196655958 unique relations
  70. Tue Jun 10 09:22:00 2025 memory use: 1449.5 MB
  71. Tue Jun 10 09:22:00 2025 reading ideals above 720000
  72. Tue Jun 10 09:22:00 2025 commencing singleton removal, initial pass
  73. Tue Jun 10 09:42:49 2025 memory use: 5512.0 MB
  74. Tue Jun 10 09:42:49 2025 reading all ideals from disk
  75. Tue Jun 10 09:42:53 2025 memory use: 9394.6 MB
  76. Tue Jun 10 09:43:19 2025 keeping 178362138 ideals with weight <= 200, target excess is 1009682
  77. Tue Jun 10 09:43:54 2025 commencing in-memory singleton removal
  78. Tue Jun 10 09:43:59 2025 begin with 196655958 relations and 178362138 unique ideals
  79. Tue Jun 10 09:44:19 2025 reduce to 134224314 relations and 110171713 ideals in 14 passes
  80. Tue Jun 10 09:44:19 2025 max relations containing the same ideal: 163
  81. Tue Jun 10 09:45:35 2025 removing 10827663 relations and 8827663 ideals in 2000000 cliques
  82. Tue Jun 10 09:45:42 2025 commencing in-memory singleton removal
  83. Tue Jun 10 09:45:45 2025 begin with 123396651 relations and 110171713 unique ideals
  84. Tue Jun 10 09:45:54 2025 reduce to 122679486 relations and 100613063 ideals in 8 passes
  85. Tue Jun 10 09:45:54 2025 max relations containing the same ideal: 154
  86. Tue Jun 10 09:47:01 2025 removing 8341189 relations and 6341189 ideals in 2000000 cliques
  87. Tue Jun 10 09:47:07 2025 commencing in-memory singleton removal
  88. Tue Jun 10 09:47:09 2025 begin with 114338297 relations and 100613063 unique ideals
  89. Tue Jun 10 09:47:18 2025 reduce to 113852554 relations and 93778063 ideals in 8 passes
  90. Tue Jun 10 09:47:18 2025 max relations containing the same ideal: 148
  91. Tue Jun 10 09:48:15 2025 removing 7608839 relations and 5608839 ideals in 2000000 cliques
  92. Tue Jun 10 09:48:21 2025 commencing in-memory singleton removal
  93. Tue Jun 10 09:48:23 2025 begin with 106243715 relations and 93778063 unique ideals
  94. Tue Jun 10 09:48:30 2025 reduce to 105808908 relations and 87727222 ideals in 7 passes
  95. Tue Jun 10 09:48:30 2025 max relations containing the same ideal: 141
  96. Tue Jun 10 09:49:19 2025 removing 7252133 relations and 5252133 ideals in 2000000 cliques
  97. Tue Jun 10 09:49:24 2025 commencing in-memory singleton removal
  98. Tue Jun 10 09:49:26 2025 begin with 98556775 relations and 87727222 unique ideals
  99. Tue Jun 10 09:49:32 2025 reduce to 98138765 relations and 82049738 ideals in 7 passes
  100. Tue Jun 10 09:49:32 2025 max relations containing the same ideal: 133
  101. Tue Jun 10 09:50:15 2025 removing 7051649 relations and 5051649 ideals in 2000000 cliques
  102. Tue Jun 10 09:50:21 2025 commencing in-memory singleton removal
  103. Tue Jun 10 09:50:22 2025 begin with 91087116 relations and 82049738 unique ideals
  104. Tue Jun 10 09:50:26 2025 reduce to 90666998 relations and 76570213 ideals in 7 passes
  105. Tue Jun 10 09:50:26 2025 max relations containing the same ideal: 129
  106. Tue Jun 10 09:51:13 2025 removing 6933421 relations and 4933421 ideals in 2000000 cliques
  107. Tue Jun 10 09:51:18 2025 commencing in-memory singleton removal
  108. Tue Jun 10 09:51:19 2025 begin with 83733577 relations and 76570213 unique ideals
  109. Tue Jun 10 09:51:25 2025 reduce to 83300471 relations and 71195200 ideals in 8 passes
  110. Tue Jun 10 09:51:25 2025 max relations containing the same ideal: 120
  111. Tue Jun 10 09:52:07 2025 removing 6875666 relations and 4875666 ideals in 2000000 cliques
  112. Tue Jun 10 09:52:10 2025 commencing in-memory singleton removal
  113. Tue Jun 10 09:52:12 2025 begin with 76424805 relations and 71195200 unique ideals
  114. Tue Jun 10 09:52:17 2025 reduce to 75962523 relations and 65847409 ideals in 7 passes
  115. Tue Jun 10 09:52:17 2025 max relations containing the same ideal: 114
  116. Tue Jun 10 09:53:01 2025 removing 6865661 relations and 4865661 ideals in 2000000 cliques
  117. Tue Jun 10 09:53:05 2025 commencing in-memory singleton removal
  118. Tue Jun 10 09:53:06 2025 begin with 69096862 relations and 65847409 unique ideals
  119. Tue Jun 10 09:53:11 2025 reduce to 68593252 relations and 60466414 ideals in 8 passes
  120. Tue Jun 10 09:53:11 2025 max relations containing the same ideal: 111
  121. Tue Jun 10 09:53:43 2025 removing 6905756 relations and 4905756 ideals in 2000000 cliques
  122. Tue Jun 10 09:53:46 2025 commencing in-memory singleton removal
  123. Tue Jun 10 09:53:47 2025 begin with 61687496 relations and 60466414 unique ideals
  124. Tue Jun 10 09:53:51 2025 reduce to 61120654 relations and 54979527 ideals in 8 passes
  125. Tue Jun 10 09:53:51 2025 max relations containing the same ideal: 99
  126. Tue Jun 10 09:54:20 2025 removing 6988336 relations and 4988336 ideals in 2000000 cliques
  127. Tue Jun 10 09:54:23 2025 commencing in-memory singleton removal
  128. Tue Jun 10 09:54:24 2025 begin with 54132318 relations and 54979527 unique ideals
  129. Tue Jun 10 09:54:27 2025 reduce to 53473082 relations and 49313513 ideals in 8 passes
  130. Tue Jun 10 09:54:27 2025 max relations containing the same ideal: 90
  131. Tue Jun 10 09:54:53 2025 removing 7137404 relations and 5137404 ideals in 2000000 cliques
  132. Tue Jun 10 09:54:55 2025 commencing in-memory singleton removal
  133. Tue Jun 10 09:54:56 2025 begin with 46335678 relations and 49313513 unique ideals
  134. Tue Jun 10 09:55:00 2025 reduce to 45525034 relations and 43339609 ideals in 9 passes
  135. Tue Jun 10 09:55:00 2025 max relations containing the same ideal: 85
  136. Tue Jun 10 09:55:21 2025 removing 4352740 relations and 3338547 ideals in 1014193 cliques
  137. Tue Jun 10 09:55:23 2025 commencing in-memory singleton removal
  138. Tue Jun 10 09:55:24 2025 begin with 41172294 relations and 43339609 unique ideals
  139. Tue Jun 10 09:55:26 2025 reduce to 40830019 relations and 39652075 ideals in 8 passes
  140. Tue Jun 10 09:55:26 2025 max relations containing the same ideal: 77
  141. Tue Jun 10 09:55:51 2025 relations with 0 large ideals: 3322
  142. Tue Jun 10 09:55:51 2025 relations with 1 large ideals: 17677
  143. Tue Jun 10 09:55:51 2025 relations with 2 large ideals: 246164
  144. Tue Jun 10 09:55:51 2025 relations with 3 large ideals: 1499976
  145. Tue Jun 10 09:55:51 2025 relations with 4 large ideals: 4894735
  146. Tue Jun 10 09:55:51 2025 relations with 5 large ideals: 9462961
  147. Tue Jun 10 09:55:51 2025 relations with 6 large ideals: 11340910
  148. Tue Jun 10 09:55:51 2025 relations with 7+ large ideals: 13364274
  149. Tue Jun 10 09:55:51 2025 commencing 2-way merge
  150. Tue Jun 10 09:56:19 2025 reduce to 25756127 relation sets and 24578183 unique ideals
  151. Tue Jun 10 09:56:19 2025 commencing full merge
  152. Tue Jun 10 10:05:36 2025 memory use: 2910.0 MB
  153. Tue Jun 10 10:05:38 2025 found 10924839 cycles, need 10890383
  154. Tue Jun 10 10:05:41 2025 weight of 10890383 cycles is about 1415956276 (130.02/cycle)
  155. Tue Jun 10 10:05:41 2025 distribution of cycle lengths:
  156. Tue Jun 10 10:05:41 2025 1 relations: 718636
  157. Tue Jun 10 10:05:41 2025 2 relations: 674084
  158. Tue Jun 10 10:05:41 2025 3 relations: 706530
  159. Tue Jun 10 10:05:41 2025 4 relations: 711108
  160. Tue Jun 10 10:05:41 2025 5 relations: 723763
  161. Tue Jun 10 10:05:41 2025 6 relations: 717548
  162. Tue Jun 10 10:05:41 2025 7 relations: 716656
  163. Tue Jun 10 10:05:41 2025 8 relations: 686251
  164. Tue Jun 10 10:05:41 2025 9 relations: 660006
  165. Tue Jun 10 10:05:41 2025 10+ relations: 4575801
  166. Tue Jun 10 10:05:41 2025 heaviest cycle: 28 relations
  167. Tue Jun 10 10:05:44 2025 commencing cycle optimization
  168. Tue Jun 10 10:06:06 2025 start with 99191017 relations
  169. Tue Jun 10 10:09:54 2025 pruned 4557604 relations
  170. Tue Jun 10 10:09:54 2025 memory use: 2671.6 MB
  171. Tue Jun 10 10:09:55 2025 distribution of cycle lengths:
  172. Tue Jun 10 10:09:55 2025 1 relations: 718636
  173. Tue Jun 10 10:09:55 2025 2 relations: 692888
  174. Tue Jun 10 10:09:55 2025 3 relations: 737146
  175. Tue Jun 10 10:09:55 2025 4 relations: 740521
  176. Tue Jun 10 10:09:55 2025 5 relations: 759742
  177. Tue Jun 10 10:09:55 2025 6 relations: 752141
  178. Tue Jun 10 10:09:55 2025 7 relations: 754327
  179. Tue Jun 10 10:09:55 2025 8 relations: 720321
  180. Tue Jun 10 10:09:55 2025 9 relations: 691536
  181. Tue Jun 10 10:09:55 2025 10+ relations: 4323125
  182. Tue Jun 10 10:09:55 2025 heaviest cycle: 28 relations
  183. Tue Jun 10 10:10:09 2025 RelProcTime: 3853
  184. Tue Jun 10 10:10:10 2025
  185. Tue Jun 10 10:10:10 2025 commencing linear algebra
  186. Tue Jun 10 10:10:10 2025 using VBITS=256
  187. Tue Jun 10 10:10:10 2025 stopping after matrix build
  188. Tue Jun 10 10:10:10 2025 initialized process (0,0) of 1 x 1 grid
  189. Tue Jun 10 10:10:11 2025 read 10890383 cycles
  190. Tue Jun 10 10:10:28 2025 cycles contain 40038608 unique relations
  191. Tue Jun 10 10:14:30 2025 read 40038608 relations
  192. Tue Jun 10 10:14:35 2025 using 20 quadratic characters above 4294917295
  193. Tue Jun 10 10:14:41 2025 building initial matrix
  194. Tue Jun 10 10:24:14 2025 memory use: 5628.9 MB
  195. Tue Jun 10 10:24:23 2025 read 10890383 cycles
  196. Tue Jun 10 10:24:24 2025 matrix is 10890206 x 10890383 (5479.5 MB) with weight 1665288826 (152.91/col)
  197. Tue Jun 10 10:24:24 2025 sparse part has weight 1305730478 (119.90/col)
  198. Tue Jun 10 10:26:51 2025 filtering completed in 2 passes
  199. Tue Jun 10 10:26:54 2025 matrix is 10889820 x 10889996 (5479.5 MB) with weight 1665269686 (152.92/col)
  200. Tue Jun 10 10:26:54 2025 sparse part has weight 1305725126 (119.90/col)
  201. Tue Jun 10 10:28:08 2025 BLanczosTime: 1078
  202. Tue Jun 10 10:28:08 2025 elapsed time 01:22:13
  203. Wed Jun 11 03:33:44 2025
  204. Wed Jun 11 03:33:44 2025
  205. Wed Jun 11 03:33:44 2025 Msieve v. 1.54 (SVN Unversioned directory)
  206. Wed Jun 11 03:33:44 2025 random seeds: a4d2e53f 38e3e1fc
  207. Wed Jun 11 03:33:44 2025 MPI process 0 of 1
  208. Wed Jun 11 03:33:44 2025 Using 64 OpenMP threads
  209. Wed Jun 11 03:33:44 2025 factoring 4744608519150025935924132856774381733876932474894245736744850540020089712592143192637375764553732560779755752189194338200694221630779110471528247226377969381870610835069421947 (175 digits)
  210. Wed Jun 11 03:33:45 2025 searching for 15-digit factors
  211. Wed Jun 11 03:33:45 2025 commencing number field sieve (175-digit input)
  212. Wed Jun 11 03:33:45 2025 R0: -7692542073086124253873222491314094
  213. Wed Jun 11 03:33:45 2025 R1: 655188595468055293004369
  214. Wed Jun 11 03:33:45 2025 A0: 389048501478040780494393889178220531735375
  215. Wed Jun 11 03:33:45 2025 A1: 119009402789784442797744016660032595
  216. Wed Jun 11 03:33:45 2025 A2: -1891878608357181362806325136
  217. Wed Jun 11 03:33:45 2025 A3: -946786683099626798863
  218. Wed Jun 11 03:33:45 2025 A4: 20409796376133
  219. Wed Jun 11 03:33:45 2025 A5: 526680
  220. Wed Jun 11 03:33:45 2025 skew 19844169.66, size 5.052e-17, alpha -6.929, combined = 1.929e-13 rroots = 5
  221. Wed Jun 11 03:33:45 2025
  222. Wed Jun 11 03:33:45 2025 commencing linear algebra
  223. Wed Jun 11 03:33:45 2025 using VBITS=256
  224. Wed Jun 11 03:33:45 2025 skipping matrix build
  225. Wed Jun 11 03:33:45 2025 initialized process (0,0) of 1 x 1 grid
  226. Wed Jun 11 03:33:50 2025 matrix starts at (0, 0)
  227. Wed Jun 11 03:33:52 2025 matrix is 10889820 x 10889996 (5479.5 MB) with weight 1665269686 (152.92/col)
  228. Wed Jun 11 03:33:52 2025 sparse part has weight 1305725126 (119.90/col)
  229. Wed Jun 11 03:33:52 2025 saving the first 240 matrix rows for later
  230. Wed Jun 11 03:33:54 2025 matrix includes 256 packed rows
  231. Wed Jun 11 03:33:58 2025 matrix is 10889580 x 10889996 (4941.4 MB) with weight 1196695442 (109.89/col)
  232. Wed Jun 11 03:33:58 2025 sparse part has weight 1121127570 (102.95/col)
  233. Wed Jun 11 03:33:58 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  234. Wed Jun 11 03:34:22 2025 commencing Lanczos iteration (64 threads)
  235. Wed Jun 11 03:34:22 2025 memory use: 6996.3 MB
  236. Wed Jun 11 03:35:58 2025 linear algebra at 0.3%, ETA 9h15m
  237. Wed Jun 11 03:38:20 2025 checking every 10000 dimensions, checkpointing every 1180000 dimensions
  238. Wed Jun 11 12:55:45 2025 lanczos halted after 42666 iterations (dim = 10889577)
  239. Wed Jun 11 12:56:40 2025 recovered 27 nontrivial dependencies
  240. Wed Jun 11 12:56:41 2025 BLanczosTime: 33776
  241. Wed Jun 11 12:56:41 2025
  242. Wed Jun 11 12:56:41 2025 commencing square root phase
  243. Wed Jun 11 12:56:41 2025 handling dependencies 1 to 64
  244. Wed Jun 11 12:56:41 2025 reading relations for dependency 1
  245. Wed Jun 11 12:56:42 2025 read 5440630 cycles
  246. Wed Jun 11 12:56:51 2025 cycles contain 20008634 unique relations
  247. Wed Jun 11 13:00:04 2025 read 20008634 relations
  248. Wed Jun 11 13:01:17 2025 multiplying 20008634 relations
  249. Wed Jun 11 13:03:14 2025 multiply complete, coefficients have about 1150.16 million bits
  250. Wed Jun 11 13:03:17 2025 initial square root is modulo 144407
  251. Wed Jun 11 13:09:52 2025 sqrtTime: 791
  252. Wed Jun 11 13:09:52 2025 p77 factor: 28875039807422476721079282933060702739302011170137039844665139665830660810279
  253. Wed Jun 11 13:09:52 2025 p99 factor: 164315220023710583435425103399982714780160725357969442233674576865375795294378779459842996021054093
  254. Wed Jun 11 13:09:52 2025 elapsed time 09:36:08
  255.  
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