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Feb 23rd, 2025
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  1. Sun Feb 23 07:32:37 2025
  2. Sun Feb 23 07:32:37 2025
  3. Sun Feb 23 07:32:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Feb 23 07:32:37 2025 random seeds: 5c286172 328fe5ff
  5. Sun Feb 23 07:32:37 2025 MPI process 0 of 1
  6. Sun Feb 23 07:32:37 2025 Using 8 OpenMP threads
  7. Sun Feb 23 07:32:37 2025 factoring 1540218261989686657730596955726371793526269924696186185054049363806743129260532143968919327224621191457933384262102612713997701195600367709653626156734584430551183 (163 digits)
  8. Sun Feb 23 07:32:37 2025 searching for 15-digit factors
  9. Sun Feb 23 07:32:37 2025 commencing number field sieve (163-digit input)
  10. Sun Feb 23 07:32:37 2025 R0: -23155175318702847367976575341039
  11. Sun Feb 23 07:32:37 2025 R1: 3149015073571276129496873
  12. Sun Feb 23 07:32:37 2025 A0: 260260355466634223718925553051461209000
  13. Sun Feb 23 07:32:37 2025 A1: 111160255609842497986115902502890
  14. Sun Feb 23 07:32:37 2025 A2: -125746133875562649601581459
  15. Sun Feb 23 07:32:37 2025 A3: -78553108250699635684
  16. Sun Feb 23 07:32:37 2025 A4: 26319473205060
  17. Sun Feb 23 07:32:37 2025 A5: 2998800
  18. Sun Feb 23 07:32:37 2025 skew 2879361.64, size 9.962e-16, alpha -8.353, combined = 1.160e-12 rroots = 3
  19. Sun Feb 23 07:32:37 2025
  20. Sun Feb 23 07:32:37 2025 commencing relation filtering
  21. Sun Feb 23 07:32:37 2025 setting target matrix density to 130.0
  22. Sun Feb 23 07:32:37 2025 estimated available RAM is 64046.9 MB
  23. Sun Feb 23 07:32:37 2025 commencing duplicate removal, pass 1
  24. Sun Feb 23 07:36:01 2025 error -15 reading relation 201277539
  25. Sun Feb 23 07:37:15 2025 skipped 96 malformed relations
  26. Sun Feb 23 07:37:15 2025 found 8447016 hash collisions in 275136920 relations
  27. Sun Feb 23 07:37:31 2025 added 121300 free relations
  28. Sun Feb 23 07:37:31 2025 commencing duplicate removal, pass 2
  29. Sun Feb 23 07:38:23 2025 found 0 duplicates and 275258220 unique relations
  30. Sun Feb 23 07:38:23 2025 memory use: 810.4 MB
  31. Sun Feb 23 07:38:23 2025 reading ideals above 720000
  32. Sun Feb 23 07:38:23 2025 commencing singleton removal, initial pass
  33. Sun Feb 23 07:48:34 2025 memory use: 6024.0 MB
  34. Sun Feb 23 07:48:34 2025 reading all ideals from disk
  35. Sun Feb 23 07:48:38 2025 memory use: 12459.9 MB
  36. Sun Feb 23 07:48:53 2025 keeping 236108264 ideals with weight <= 200, target excess is 1395664
  37. Sun Feb 23 07:49:16 2025 commencing in-memory singleton removal
  38. Sun Feb 23 07:49:23 2025 begin with 275258220 relations and 236108264 unique ideals
  39. Sun Feb 23 07:49:59 2025 reduce to 176696217 relations and 127720984 ideals in 12 passes
  40. Sun Feb 23 07:49:59 2025 max relations containing the same ideal: 157
  41. Sun Feb 23 07:50:37 2025 removing 9887926 relations and 7887926 ideals in 2000000 cliques
  42. Sun Feb 23 07:50:41 2025 commencing in-memory singleton removal
  43. Sun Feb 23 07:50:46 2025 begin with 166808291 relations and 127720984 unique ideals
  44. Sun Feb 23 07:51:02 2025 reduce to 166394497 relations and 119413074 ideals in 7 passes
  45. Sun Feb 23 07:51:02 2025 max relations containing the same ideal: 155
  46. Sun Feb 23 07:51:38 2025 removing 7591142 relations and 5591142 ideals in 2000000 cliques
  47. Sun Feb 23 07:51:41 2025 commencing in-memory singleton removal
  48. Sun Feb 23 07:51:46 2025 begin with 158803355 relations and 119413074 unique ideals
  49. Sun Feb 23 07:52:04 2025 reduce to 158522030 relations and 113537158 ideals in 8 passes
  50. Sun Feb 23 07:52:04 2025 max relations containing the same ideal: 152
  51. Sun Feb 23 07:52:38 2025 removing 6925178 relations and 4925178 ideals in 2000000 cliques
  52. Sun Feb 23 07:52:41 2025 commencing in-memory singleton removal
  53. Sun Feb 23 07:52:45 2025 begin with 151596852 relations and 113537158 unique ideals
  54. Sun Feb 23 07:53:00 2025 reduce to 151353613 relations and 108365512 ideals in 7 passes
  55. Sun Feb 23 07:53:00 2025 max relations containing the same ideal: 147
  56. Sun Feb 23 07:53:32 2025 removing 6574571 relations and 4574571 ideals in 2000000 cliques
  57. Sun Feb 23 07:53:35 2025 commencing in-memory singleton removal
  58. Sun Feb 23 07:53:39 2025 begin with 144779042 relations and 108365512 unique ideals
  59. Sun Feb 23 07:53:54 2025 reduce to 144554229 relations and 103563109 ideals in 7 passes
  60. Sun Feb 23 07:53:54 2025 max relations containing the same ideal: 144
  61. Sun Feb 23 07:54:25 2025 removing 6343848 relations and 4343848 ideals in 2000000 cliques
  62. Sun Feb 23 07:54:28 2025 commencing in-memory singleton removal
  63. Sun Feb 23 07:54:32 2025 begin with 138210381 relations and 103563109 unique ideals
  64. Sun Feb 23 07:54:45 2025 reduce to 137996020 relations and 99001962 ideals in 7 passes
  65. Sun Feb 23 07:54:45 2025 max relations containing the same ideal: 137
  66. Sun Feb 23 07:55:15 2025 removing 6182387 relations and 4182387 ideals in 2000000 cliques
  67. Sun Feb 23 07:55:18 2025 commencing in-memory singleton removal
  68. Sun Feb 23 07:55:21 2025 begin with 131813633 relations and 99001962 unique ideals
  69. Sun Feb 23 07:55:33 2025 reduce to 131606167 relations and 94609103 ideals in 6 passes
  70. Sun Feb 23 07:55:33 2025 max relations containing the same ideal: 134
  71. Sun Feb 23 07:56:01 2025 removing 6062455 relations and 4062455 ideals in 2000000 cliques
  72. Sun Feb 23 07:56:04 2025 commencing in-memory singleton removal
  73. Sun Feb 23 07:56:07 2025 begin with 125543712 relations and 94609103 unique ideals
  74. Sun Feb 23 07:56:20 2025 reduce to 125339484 relations and 90339357 ideals in 7 passes
  75. Sun Feb 23 07:56:20 2025 max relations containing the same ideal: 130
  76. Sun Feb 23 07:56:47 2025 removing 5967480 relations and 3967480 ideals in 2000000 cliques
  77. Sun Feb 23 07:56:49 2025 commencing in-memory singleton removal
  78. Sun Feb 23 07:56:53 2025 begin with 119372004 relations and 90339357 unique ideals
  79. Sun Feb 23 07:57:04 2025 reduce to 119167563 relations and 86164278 ideals in 7 passes
  80. Sun Feb 23 07:57:04 2025 max relations containing the same ideal: 126
  81. Sun Feb 23 07:57:30 2025 removing 5891058 relations and 3891058 ideals in 2000000 cliques
  82. Sun Feb 23 07:57:33 2025 commencing in-memory singleton removal
  83. Sun Feb 23 07:57:36 2025 begin with 113276505 relations and 86164278 unique ideals
  84. Sun Feb 23 07:57:45 2025 reduce to 113070361 relations and 82063726 ideals in 6 passes
  85. Sun Feb 23 07:57:45 2025 max relations containing the same ideal: 123
  86. Sun Feb 23 07:58:10 2025 removing 5834325 relations and 3834325 ideals in 2000000 cliques
  87. Sun Feb 23 07:58:12 2025 commencing in-memory singleton removal
  88. Sun Feb 23 07:58:15 2025 begin with 107236036 relations and 82063726 unique ideals
  89. Sun Feb 23 07:58:24 2025 reduce to 107027249 relations and 78016877 ideals in 6 passes
  90. Sun Feb 23 07:58:24 2025 max relations containing the same ideal: 118
  91. Sun Feb 23 07:58:48 2025 removing 5786127 relations and 3786127 ideals in 2000000 cliques
  92. Sun Feb 23 07:58:50 2025 commencing in-memory singleton removal
  93. Sun Feb 23 07:58:53 2025 begin with 101241122 relations and 78016877 unique ideals
  94. Sun Feb 23 07:59:02 2025 reduce to 101025766 relations and 74011366 ideals in 7 passes
  95. Sun Feb 23 07:59:02 2025 max relations containing the same ideal: 115
  96. Sun Feb 23 07:59:25 2025 removing 5753448 relations and 3753448 ideals in 2000000 cliques
  97. Sun Feb 23 07:59:27 2025 commencing in-memory singleton removal
  98. Sun Feb 23 07:59:29 2025 begin with 95272318 relations and 74011366 unique ideals
  99. Sun Feb 23 07:59:39 2025 reduce to 95050402 relations and 70031657 ideals in 7 passes
  100. Sun Feb 23 07:59:39 2025 max relations containing the same ideal: 107
  101. Sun Feb 23 08:00:00 2025 removing 5725446 relations and 3725446 ideals in 2000000 cliques
  102. Sun Feb 23 08:00:02 2025 commencing in-memory singleton removal
  103. Sun Feb 23 08:00:04 2025 begin with 89324956 relations and 70031657 unique ideals
  104. Sun Feb 23 08:00:11 2025 reduce to 89093425 relations and 66069975 ideals in 6 passes
  105. Sun Feb 23 08:00:11 2025 max relations containing the same ideal: 102
  106. Sun Feb 23 08:00:31 2025 removing 5708586 relations and 3708586 ideals in 2000000 cliques
  107. Sun Feb 23 08:00:33 2025 commencing in-memory singleton removal
  108. Sun Feb 23 08:00:35 2025 begin with 83384839 relations and 66069975 unique ideals
  109. Sun Feb 23 08:00:42 2025 reduce to 83141812 relations and 62113097 ideals in 6 passes
  110. Sun Feb 23 08:00:42 2025 max relations containing the same ideal: 96
  111. Sun Feb 23 08:01:01 2025 removing 5701609 relations and 3701609 ideals in 2000000 cliques
  112. Sun Feb 23 08:01:03 2025 commencing in-memory singleton removal
  113. Sun Feb 23 08:01:05 2025 begin with 77440203 relations and 62113097 unique ideals
  114. Sun Feb 23 08:01:11 2025 reduce to 77181935 relations and 58147323 ideals in 6 passes
  115. Sun Feb 23 08:01:11 2025 max relations containing the same ideal: 93
  116. Sun Feb 23 08:01:29 2025 removing 5703085 relations and 3703085 ideals in 2000000 cliques
  117. Sun Feb 23 08:01:30 2025 commencing in-memory singleton removal
  118. Sun Feb 23 08:01:32 2025 begin with 71478850 relations and 58147323 unique ideals
  119. Sun Feb 23 08:01:38 2025 reduce to 71202295 relations and 54161019 ideals in 6 passes
  120. Sun Feb 23 08:01:38 2025 max relations containing the same ideal: 90
  121. Sun Feb 23 08:01:54 2025 removing 5718707 relations and 3718707 ideals in 2000000 cliques
  122. Sun Feb 23 08:01:56 2025 commencing in-memory singleton removal
  123. Sun Feb 23 08:01:58 2025 begin with 65483588 relations and 54161019 unique ideals
  124. Sun Feb 23 08:02:03 2025 reduce to 65184811 relations and 50135640 ideals in 6 passes
  125. Sun Feb 23 08:02:03 2025 max relations containing the same ideal: 83
  126. Sun Feb 23 08:02:18 2025 removing 5741883 relations and 3741883 ideals in 2000000 cliques
  127. Sun Feb 23 08:02:20 2025 commencing in-memory singleton removal
  128. Sun Feb 23 08:02:21 2025 begin with 59442928 relations and 50135640 unique ideals
  129. Sun Feb 23 08:02:26 2025 reduce to 59113255 relations and 46054705 ideals in 6 passes
  130. Sun Feb 23 08:02:26 2025 max relations containing the same ideal: 75
  131. Sun Feb 23 08:02:40 2025 removing 5779134 relations and 3779134 ideals in 2000000 cliques
  132. Sun Feb 23 08:02:41 2025 commencing in-memory singleton removal
  133. Sun Feb 23 08:02:43 2025 begin with 53334121 relations and 46054705 unique ideals
  134. Sun Feb 23 08:02:48 2025 reduce to 52964455 relations and 41894622 ideals in 7 passes
  135. Sun Feb 23 08:02:48 2025 max relations containing the same ideal: 69
  136. Sun Feb 23 08:03:00 2025 removing 5833741 relations and 3833741 ideals in 2000000 cliques
  137. Sun Feb 23 08:03:02 2025 commencing in-memory singleton removal
  138. Sun Feb 23 08:03:03 2025 begin with 47130714 relations and 41894622 unique ideals
  139. Sun Feb 23 08:03:07 2025 reduce to 46708296 relations and 37624420 ideals in 7 passes
  140. Sun Feb 23 08:03:07 2025 max relations containing the same ideal: 65
  141. Sun Feb 23 08:03:18 2025 removing 5907818 relations and 3907818 ideals in 2000000 cliques
  142. Sun Feb 23 08:03:20 2025 commencing in-memory singleton removal
  143. Sun Feb 23 08:03:20 2025 begin with 40800478 relations and 37624420 unique ideals
  144. Sun Feb 23 08:03:25 2025 reduce to 40305072 relations and 33202492 ideals in 8 passes
  145. Sun Feb 23 08:03:25 2025 max relations containing the same ideal: 60
  146. Sun Feb 23 08:03:34 2025 removing 6009648 relations and 4009648 ideals in 2000000 cliques
  147. Sun Feb 23 08:03:36 2025 commencing in-memory singleton removal
  148. Sun Feb 23 08:03:37 2025 begin with 34295424 relations and 33202492 unique ideals
  149. Sun Feb 23 08:03:40 2025 reduce to 33694898 relations and 28566654 ideals in 7 passes
  150. Sun Feb 23 08:03:40 2025 max relations containing the same ideal: 53
  151. Sun Feb 23 08:03:48 2025 removing 6145374 relations and 4145374 ideals in 2000000 cliques
  152. Sun Feb 23 08:03:49 2025 commencing in-memory singleton removal
  153. Sun Feb 23 08:03:50 2025 begin with 27549524 relations and 28566654 unique ideals
  154. Sun Feb 23 08:03:52 2025 reduce to 26782901 relations and 23615355 ideals in 8 passes
  155. Sun Feb 23 08:03:52 2025 max relations containing the same ideal: 45
  156. Sun Feb 23 08:03:59 2025 removing 5120229 relations and 3571654 ideals in 1548575 cliques
  157. Sun Feb 23 08:04:00 2025 commencing in-memory singleton removal
  158. Sun Feb 23 08:04:01 2025 begin with 21662672 relations and 23615355 unique ideals
  159. Sun Feb 23 08:04:03 2025 reduce to 20950244 relations and 19294745 ideals in 9 passes
  160. Sun Feb 23 08:04:03 2025 max relations containing the same ideal: 39
  161. Sun Feb 23 08:04:09 2025 removing 245827 relations and 209299 ideals in 36528 cliques
  162. Sun Feb 23 08:04:09 2025 commencing in-memory singleton removal
  163. Sun Feb 23 08:04:10 2025 begin with 20704417 relations and 19294745 unique ideals
  164. Sun Feb 23 08:04:11 2025 reduce to 20702301 relations and 19083323 ideals in 6 passes
  165. Sun Feb 23 08:04:11 2025 max relations containing the same ideal: 39
  166. Sun Feb 23 08:04:13 2025 relations with 0 large ideals: 7304
  167. Sun Feb 23 08:04:13 2025 relations with 1 large ideals: 112744
  168. Sun Feb 23 08:04:13 2025 relations with 2 large ideals: 929722
  169. Sun Feb 23 08:04:13 2025 relations with 3 large ideals: 3229663
  170. Sun Feb 23 08:04:13 2025 relations with 4 large ideals: 5746223
  171. Sun Feb 23 08:04:13 2025 relations with 5 large ideals: 5767528
  172. Sun Feb 23 08:04:13 2025 relations with 6 large ideals: 3428493
  173. Sun Feb 23 08:04:13 2025 relations with 7+ large ideals: 1480624
  174. Sun Feb 23 08:04:13 2025 commencing 2-way merge
  175. Sun Feb 23 08:04:20 2025 reduce to 12629582 relation sets and 11010604 unique ideals
  176. Sun Feb 23 08:04:20 2025 commencing full merge
  177. Sun Feb 23 08:06:42 2025 memory use: 1338.8 MB
  178. Sun Feb 23 08:06:43 2025 found 5543011 cycles, need 5414804
  179. Sun Feb 23 08:06:44 2025 weight of 5414804 cycles is about 704149624 (130.04/cycle)
  180. Sun Feb 23 08:06:44 2025 distribution of cycle lengths:
  181. Sun Feb 23 08:06:44 2025 1 relations: 187712
  182. Sun Feb 23 08:06:44 2025 2 relations: 290214
  183. Sun Feb 23 08:06:44 2025 3 relations: 335943
  184. Sun Feb 23 08:06:44 2025 4 relations: 348794
  185. Sun Feb 23 08:06:44 2025 5 relations: 362281
  186. Sun Feb 23 08:06:44 2025 6 relations: 366312
  187. Sun Feb 23 08:06:44 2025 7 relations: 369508
  188. Sun Feb 23 08:06:44 2025 8 relations: 361700
  189. Sun Feb 23 08:06:44 2025 9 relations: 348721
  190. Sun Feb 23 08:06:44 2025 10+ relations: 2443619
  191. Sun Feb 23 08:06:44 2025 heaviest cycle: 28 relations
  192. Sun Feb 23 08:06:45 2025 commencing cycle optimization
  193. Sun Feb 23 08:06:52 2025 start with 51416576 relations
  194. Sun Feb 23 08:07:59 2025 pruned 2462461 relations
  195. Sun Feb 23 08:07:59 2025 memory use: 1356.1 MB
  196. Sun Feb 23 08:07:59 2025 distribution of cycle lengths:
  197. Sun Feb 23 08:07:59 2025 1 relations: 187712
  198. Sun Feb 23 08:07:59 2025 2 relations: 298133
  199. Sun Feb 23 08:07:59 2025 3 relations: 350490
  200. Sun Feb 23 08:07:59 2025 4 relations: 364158
  201. Sun Feb 23 08:07:59 2025 5 relations: 381957
  202. Sun Feb 23 08:07:59 2025 6 relations: 386831
  203. Sun Feb 23 08:07:59 2025 7 relations: 391788
  204. Sun Feb 23 08:07:59 2025 8 relations: 382997
  205. Sun Feb 23 08:07:59 2025 9 relations: 369034
  206. Sun Feb 23 08:07:59 2025 10+ relations: 2301704
  207. Sun Feb 23 08:07:59 2025 heaviest cycle: 27 relations
  208. Sun Feb 23 08:08:04 2025 RelProcTime: 2127
  209. Sun Feb 23 08:08:04 2025
  210. Sun Feb 23 08:08:04 2025 commencing linear algebra
  211. Sun Feb 23 08:08:04 2025 using VBITS=256
  212. Sun Feb 23 08:08:04 2025 initialized process (0,0) of 1 x 1 grid
  213. Sun Feb 23 08:08:04 2025 read 5414804 cycles
  214. Sun Feb 23 08:08:11 2025 cycles contain 19780988 unique relations
  215. Sun Feb 23 08:08:37 2025 read 19780988 relations
  216. Sun Feb 23 08:08:44 2025 using 20 quadratic characters above 4294917295
  217. Sun Feb 23 08:08:54 2025 building initial matrix
  218. Sun Feb 23 08:11:37 2025 memory use: 2710.1 MB
  219. Sun Feb 23 08:11:39 2025 read 5414804 cycles
  220. Sun Feb 23 08:11:40 2025 matrix is 5414622 x 5414804 (2725.2 MB) with weight 826935704 (152.72/col)
  221. Sun Feb 23 08:11:40 2025 sparse part has weight 649427493 (119.94/col)
  222. Sun Feb 23 08:12:20 2025 filtering completed in 2 passes
  223. Sun Feb 23 08:12:20 2025 matrix is 5413982 x 5414162 (2725.1 MB) with weight 826890341 (152.73/col)
  224. Sun Feb 23 08:12:20 2025 sparse part has weight 649404628 (119.95/col)
  225. Sun Feb 23 08:12:45 2025 matrix starts at (0, 0)
  226. Sun Feb 23 08:12:45 2025 matrix is 5413982 x 5414162 (2725.1 MB) with weight 826890341 (152.73/col)
  227. Sun Feb 23 08:12:45 2025 sparse part has weight 649404628 (119.95/col)
  228. Sun Feb 23 08:12:45 2025 saving the first 240 matrix rows for later
  229. Sun Feb 23 08:12:46 2025 matrix includes 256 packed rows
  230. Sun Feb 23 08:12:47 2025 matrix is 5413742 x 5414162 (2433.4 MB) with weight 589436175 (108.87/col)
  231. Sun Feb 23 08:12:47 2025 sparse part has weight 551280079 (101.82/col)
  232. Sun Feb 23 08:12:47 2025 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  233. Sun Feb 23 08:12:56 2025 commencing Lanczos iteration (8 threads)
  234. Sun Feb 23 08:12:56 2025 memory use: 3434.7 MB
  235. Sun Feb 23 08:16:18 2025 linear algebra at 0.6%, ETA 9h45m
  236. Sun Feb 23 08:21:18 2025 checking every 10000 dimensions, checkpointing every 560000 dimensions
  237. Sun Feb 23 17:59:58 2025 lanczos halted after 21212 iterations (dim = 5413739)
  238. Sun Feb 23 18:00:17 2025 recovered 27 nontrivial dependencies
  239. Sun Feb 23 18:00:17 2025 BLanczosTime: 35533
  240. Sun Feb 23 18:00:17 2025
  241. Sun Feb 23 18:00:17 2025 commencing square root phase
  242. Sun Feb 23 18:00:17 2025 handling dependencies 1 to 64
  243. Sun Feb 23 18:00:17 2025 reading relations for dependency 1
  244. Sun Feb 23 18:00:17 2025 read 2707097 cycles
  245. Sun Feb 23 18:00:21 2025 cycles contain 9891634 unique relations
  246. Sun Feb 23 18:00:42 2025 read 9891634 relations
  247. Sun Feb 23 18:01:06 2025 multiplying 9891634 relations
  248. Sun Feb 23 18:02:38 2025 multiply complete, coefficients have about 571.45 million bits
  249. Sun Feb 23 18:02:39 2025 initial square root is modulo 133981
  250. Sun Feb 23 18:05:00 2025 sqrtTime: 283
  251. Sun Feb 23 18:05:00 2025 p59 factor: 60014466723835715291836299611851413852060230104344200119819
  252. Sun Feb 23 18:05:00 2025 p104 factor: 25664116438411408646043784511327889574479951184305735508112675426256715763677511042038624602714037548557
  253. Sun Feb 23 18:05:00 2025 elapsed time 10:32:23
  254.  
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