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Jan 9th, 2025
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  1. Wed Jan 8 17:33:26 2025
  2. Wed Jan 8 17:33:26 2025
  3. Wed Jan 8 17:33:26 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jan 8 17:33:26 2025 random seeds: 0c1cceaf ef051434
  5. Wed Jan 8 17:33:26 2025 MPI process 0 of 1
  6. Wed Jan 8 17:33:26 2025 Using 32 OpenMP threads
  7. Wed Jan 8 17:33:26 2025 factoring 1537960159764237774792643729009155214809894679401791974594242444741772565816782912964649754237276594477905702062206048266455929904595840258042069568975384538463719434664690685733 (178 digits)
  8. Wed Jan 8 17:33:26 2025 searching for 15-digit factors
  9. Wed Jan 8 17:33:27 2025 commencing number field sieve (178-digit input)
  10. Wed Jan 8 17:33:27 2025 R0: -14370833613050050283069515018085909
  11. Wed Jan 8 17:33:27 2025 R1: 3230056209577609321
  12. Wed Jan 8 17:33:27 2025 A0: -4369658836652393488201267006012991057758800
  13. Wed Jan 8 17:33:27 2025 A1: -1362509305853228336647445990763003524
  14. Wed Jan 8 17:33:27 2025 A2: 93933565393933983929251541070
  15. Wed Jan 8 17:33:27 2025 A3: 140525678781242659641
  16. Wed Jan 8 17:33:27 2025 A4: 25141854012710
  17. Wed Jan 8 17:33:27 2025 A5: 2509200
  18. Wed Jan 8 17:33:27 2025 skew 26144412.96, size 2.369e-17, alpha -7.832, combined = 1.204e-13 rroots = 3
  19. Wed Jan 8 17:33:27 2025
  20. Wed Jan 8 17:33:27 2025 commencing relation filtering
  21. Wed Jan 8 17:33:27 2025 setting target matrix density to 130.0
  22. Wed Jan 8 17:33:27 2025 estimated available RAM is 257736.5 MB
  23. Wed Jan 8 17:33:27 2025 commencing duplicate removal, pass 1
  24. Wed Jan 8 17:33:29 2025 error -1 reading relation 1003250
  25. Wed Jan 8 17:33:49 2025 error -1 reading relation 11840701
  26. Wed Jan 8 17:34:37 2025 error -5 reading relation 34682416
  27. Wed Jan 8 17:40:33 2025 error -1 reading relation 181412272
  28. Wed Jan 8 17:40:35 2025 error -1 reading relation 182090310
  29. Wed Jan 8 17:41:11 2025 error -1 reading relation 196655640
  30. Wed Jan 8 17:41:39 2025 error -1 reading relation 207511415
  31. Wed Jan 8 17:41:49 2025 error -1 reading relation 210929871
  32. Wed Jan 8 17:41:53 2025 error -1 reading relation 212225004
  33. Wed Jan 8 17:41:56 2025 error -1 reading relation 213522594
  34. Wed Jan 8 17:42:31 2025 error -1 reading relation 226771638
  35. Wed Jan 8 17:42:49 2025 error -1 reading relation 233880202
  36. Wed Jan 8 17:43:16 2025 error -1 reading relation 244087745
  37. Wed Jan 8 17:43:44 2025 error -1 reading relation 256209421
  38. Wed Jan 8 17:43:57 2025 error -1 reading relation 261124200
  39. Wed Jan 8 17:44:10 2025 error -1 reading relation 265833614
  40. Wed Jan 8 17:44:16 2025 error -1 reading relation 268387362
  41. Wed Jan 8 17:45:58 2025 error -1 reading relation 317694562
  42. Wed Jan 8 17:46:22 2025 error -1 reading relation 327181301
  43. Wed Jan 8 17:46:35 2025 error -1 reading relation 332118680
  44. Wed Jan 8 17:47:36 2025 error -1 reading relation 357859665
  45. Wed Jan 8 17:47:38 2025 error -1 reading relation 358678525
  46. Wed Jan 8 17:47:38 2025 error -1 reading relation 358754912
  47. Wed Jan 8 17:47:39 2025 error -1 reading relation 358958567
  48. Wed Jan 8 17:47:40 2025 error -1 reading relation 359362391
  49. Wed Jan 8 17:47:59 2025 error -1 reading relation 366744445
  50. Wed Jan 8 17:47:59 2025 error -1 reading relation 366781278
  51. Wed Jan 8 17:48:41 2025 error -1 reading relation 384592285
  52. Wed Jan 8 17:48:46 2025 error -1 reading relation 386337449
  53. Wed Jan 8 17:48:49 2025 error -1 reading relation 387754237
  54. Wed Jan 8 17:49:25 2025 error -15 reading relation 403267560
  55. Wed Jan 8 17:49:26 2025 error -1 reading relation 403793234
  56. Wed Jan 8 17:49:30 2025 error -1 reading relation 405170739
  57. Wed Jan 8 17:49:33 2025 skipped 2 relations with composite factors
  58. Wed Jan 8 17:49:33 2025 skipped 236 malformed relations
  59. Wed Jan 8 17:49:33 2025 found 87140954 hash collisions in 406502011 relations
  60. Wed Jan 8 17:50:04 2025 commencing duplicate removal, pass 2
  61. Wed Jan 8 18:01:23 2025 found 91805645 duplicates and 314696366 unique relations
  62. Wed Jan 8 18:01:23 2025 memory use: 2643.0 MB
  63. Wed Jan 8 18:01:23 2025 reading ideals above 720000
  64. Wed Jan 8 18:01:23 2025 commencing singleton removal, initial pass
  65. Wed Jan 8 18:39:17 2025 memory use: 6024.0 MB
  66. Wed Jan 8 18:39:18 2025 reading all ideals from disk
  67. Wed Jan 8 18:39:27 2025 memory use: 15140.9 MB
  68. Wed Jan 8 18:40:30 2025 keeping 305487727 ideals with weight <= 200, target excess is 1652215
  69. Wed Jan 8 18:41:54 2025 commencing in-memory singleton removal
  70. Wed Jan 8 18:41:59 2025 begin with 314696366 relations and 305487727 unique ideals
  71. Wed Jan 8 18:42:26 2025 reduce to 174192694 relations and 148184609 ideals in 16 passes
  72. Wed Jan 8 18:42:26 2025 max relations containing the same ideal: 146
  73. Wed Jan 8 18:44:25 2025 removing 13726517 relations and 11726517 ideals in 2000000 cliques
  74. Wed Jan 8 18:44:34 2025 commencing in-memory singleton removal
  75. Wed Jan 8 18:44:37 2025 begin with 160466177 relations and 148184609 unique ideals
  76. Wed Jan 8 18:44:49 2025 reduce to 159640774 relations and 135620120 ideals in 9 passes
  77. Wed Jan 8 18:44:49 2025 max relations containing the same ideal: 136
  78. Wed Jan 8 18:46:06 2025 removing 10365725 relations and 8365725 ideals in 2000000 cliques
  79. Wed Jan 8 18:46:11 2025 commencing in-memory singleton removal
  80. Wed Jan 8 18:46:14 2025 begin with 149275049 relations and 135620120 unique ideals
  81. Wed Jan 8 18:46:20 2025 reduce to 148732506 relations and 126704579 ideals in 8 passes
  82. Wed Jan 8 18:46:20 2025 max relations containing the same ideal: 131
  83. Wed Jan 8 18:47:55 2025 removing 9331516 relations and 7331516 ideals in 2000000 cliques
  84. Wed Jan 8 18:48:02 2025 commencing in-memory singleton removal
  85. Wed Jan 8 18:48:05 2025 begin with 139400990 relations and 126704579 unique ideals
  86. Wed Jan 8 18:48:15 2025 reduce to 138922090 relations and 118887861 ideals in 9 passes
  87. Wed Jan 8 18:48:15 2025 max relations containing the same ideal: 122
  88. Wed Jan 8 18:49:52 2025 removing 8799344 relations and 6799344 ideals in 2000000 cliques
  89. Wed Jan 8 18:49:58 2025 commencing in-memory singleton removal
  90. Wed Jan 8 18:50:01 2025 begin with 130122746 relations and 118887861 unique ideals
  91. Wed Jan 8 18:50:09 2025 reduce to 129666406 relations and 111626105 ideals in 8 passes
  92. Wed Jan 8 18:50:09 2025 max relations containing the same ideal: 118
  93. Wed Jan 8 18:51:38 2025 removing 8467626 relations and 6467626 ideals in 2000000 cliques
  94. Wed Jan 8 18:51:45 2025 commencing in-memory singleton removal
  95. Wed Jan 8 18:51:47 2025 begin with 121198780 relations and 111626105 unique ideals
  96. Wed Jan 8 18:51:55 2025 reduce to 120746533 relations and 104700071 ideals in 8 passes
  97. Wed Jan 8 18:51:55 2025 max relations containing the same ideal: 115
  98. Wed Jan 8 18:53:22 2025 removing 8262437 relations and 6262437 ideals in 2000000 cliques
  99. Wed Jan 8 18:53:27 2025 commencing in-memory singleton removal
  100. Wed Jan 8 18:53:30 2025 begin with 112484096 relations and 104700071 unique ideals
  101. Wed Jan 8 18:53:38 2025 reduce to 112022735 relations and 97969486 ideals in 8 passes
  102. Wed Jan 8 18:53:38 2025 max relations containing the same ideal: 110
  103. Wed Jan 8 18:54:59 2025 removing 8133432 relations and 6133432 ideals in 2000000 cliques
  104. Wed Jan 8 18:55:04 2025 commencing in-memory singleton removal
  105. Wed Jan 8 18:55:06 2025 begin with 103889303 relations and 97969486 unique ideals
  106. Wed Jan 8 18:55:12 2025 reduce to 103407000 relations and 91346158 ideals in 7 passes
  107. Wed Jan 8 18:55:12 2025 max relations containing the same ideal: 104
  108. Wed Jan 8 18:56:00 2025 removing 8063293 relations and 6063293 ideals in 2000000 cliques
  109. Wed Jan 8 18:56:04 2025 commencing in-memory singleton removal
  110. Wed Jan 8 18:56:06 2025 begin with 95343707 relations and 91346158 unique ideals
  111. Wed Jan 8 18:56:11 2025 reduce to 94828023 relations and 84758458 ideals in 7 passes
  112. Wed Jan 8 18:56:11 2025 max relations containing the same ideal: 99
  113. Wed Jan 8 18:56:57 2025 removing 8046094 relations and 6046094 ideals in 2000000 cliques
  114. Wed Jan 8 18:57:01 2025 commencing in-memory singleton removal
  115. Wed Jan 8 18:57:02 2025 begin with 86781929 relations and 84758458 unique ideals
  116. Wed Jan 8 18:57:06 2025 reduce to 86218682 relations and 78138685 ideals in 8 passes
  117. Wed Jan 8 18:57:06 2025 max relations containing the same ideal: 93
  118. Wed Jan 8 18:58:09 2025 removing 8077477 relations and 6077477 ideals in 2000000 cliques
  119. Wed Jan 8 18:58:14 2025 commencing in-memory singleton removal
  120. Wed Jan 8 18:58:16 2025 begin with 78141205 relations and 78138685 unique ideals
  121. Wed Jan 8 18:58:22 2025 reduce to 77512610 relations and 71420241 ideals in 10 passes
  122. Wed Jan 8 18:58:22 2025 max relations containing the same ideal: 85
  123. Wed Jan 8 18:59:18 2025 removing 8159012 relations and 6159012 ideals in 2000000 cliques
  124. Wed Jan 8 18:59:23 2025 commencing in-memory singleton removal
  125. Wed Jan 8 18:59:24 2025 begin with 69353598 relations and 71420241 unique ideals
  126. Wed Jan 8 18:59:30 2025 reduce to 68627135 relations and 64518698 ideals in 9 passes
  127. Wed Jan 8 18:59:30 2025 max relations containing the same ideal: 78
  128. Wed Jan 8 19:00:20 2025 removing 8313135 relations and 6313135 ideals in 2000000 cliques
  129. Wed Jan 8 19:00:24 2025 commencing in-memory singleton removal
  130. Wed Jan 8 19:00:26 2025 begin with 60314000 relations and 64518698 unique ideals
  131. Wed Jan 8 19:00:31 2025 reduce to 59436031 relations and 57305769 ideals in 9 passes
  132. Wed Jan 8 19:00:31 2025 max relations containing the same ideal: 70
  133. Wed Jan 8 19:01:15 2025 removing 1438649 relations and 1224957 ideals in 213692 cliques
  134. Wed Jan 8 19:01:17 2025 commencing in-memory singleton removal
  135. Wed Jan 8 19:01:18 2025 begin with 57997382 relations and 57305769 unique ideals
  136. Wed Jan 8 19:01:22 2025 reduce to 57972567 relations and 56055899 ideals in 7 passes
  137. Wed Jan 8 19:01:22 2025 max relations containing the same ideal: 70
  138. Wed Jan 8 19:01:30 2025 relations with 0 large ideals: 6002
  139. Wed Jan 8 19:01:30 2025 relations with 1 large ideals: 53428
  140. Wed Jan 8 19:01:30 2025 relations with 2 large ideals: 619508
  141. Wed Jan 8 19:01:30 2025 relations with 3 large ideals: 3251349
  142. Wed Jan 8 19:01:30 2025 relations with 4 large ideals: 9206274
  143. Wed Jan 8 19:01:30 2025 relations with 5 large ideals: 15375104
  144. Wed Jan 8 19:01:30 2025 relations with 6 large ideals: 15634862
  145. Wed Jan 8 19:01:30 2025 relations with 7+ large ideals: 13826040
  146. Wed Jan 8 19:01:30 2025 commencing 2-way merge
  147. Wed Jan 8 19:02:29 2025 reduce to 35071644 relation sets and 33154976 unique ideals
  148. Wed Jan 8 19:02:29 2025 commencing full merge
  149. Wed Jan 8 19:20:20 2025 memory use: 3671.8 MB
  150. Wed Jan 8 19:20:26 2025 found 14759932 cycles, need 14679176
  151. Wed Jan 8 19:20:33 2025 weight of 14679176 cycles is about 1908881458 (130.04/cycle)
  152. Wed Jan 8 19:20:33 2025 distribution of cycle lengths:
  153. Wed Jan 8 19:20:33 2025 1 relations: 1016410
  154. Wed Jan 8 19:20:33 2025 2 relations: 907456
  155. Wed Jan 8 19:20:33 2025 3 relations: 949281
  156. Wed Jan 8 19:20:33 2025 4 relations: 950254
  157. Wed Jan 8 19:20:33 2025 5 relations: 977027
  158. Wed Jan 8 19:20:33 2025 6 relations: 946384
  159. Wed Jan 8 19:20:33 2025 7 relations: 944388
  160. Wed Jan 8 19:20:33 2025 8 relations: 896582
  161. Wed Jan 8 19:20:33 2025 9 relations: 867896
  162. Wed Jan 8 19:20:33 2025 10+ relations: 6223498
  163. Wed Jan 8 19:20:33 2025 heaviest cycle: 28 relations
  164. Wed Jan 8 19:20:40 2025 commencing cycle optimization
  165. Wed Jan 8 19:21:44 2025 start with 134500955 relations
  166. Wed Jan 8 19:29:24 2025 pruned 5405620 relations
  167. Wed Jan 8 19:29:24 2025 memory use: 3718.4 MB
  168. Wed Jan 8 19:29:24 2025 distribution of cycle lengths:
  169. Wed Jan 8 19:29:24 2025 1 relations: 1016410
  170. Wed Jan 8 19:29:24 2025 2 relations: 931579
  171. Wed Jan 8 19:29:24 2025 3 relations: 986845
  172. Wed Jan 8 19:29:24 2025 4 relations: 986572
  173. Wed Jan 8 19:29:24 2025 5 relations: 1019328
  174. Wed Jan 8 19:29:24 2025 6 relations: 986743
  175. Wed Jan 8 19:29:24 2025 7 relations: 984647
  176. Wed Jan 8 19:29:24 2025 8 relations: 935262
  177. Wed Jan 8 19:29:24 2025 9 relations: 901408
  178. Wed Jan 8 19:29:24 2025 10+ relations: 5930382
  179. Wed Jan 8 19:29:24 2025 heaviest cycle: 28 relations
  180. Wed Jan 8 19:30:09 2025 RelProcTime: 7002
  181. Wed Jan 8 19:30:10 2025
  182. Wed Jan 8 19:30:10 2025 commencing linear algebra
  183. Wed Jan 8 19:30:10 2025 using VBITS=256
  184. Wed Jan 8 19:30:10 2025 stopping after matrix build
  185. Wed Jan 8 19:30:10 2025 initialized process (0,0) of 1 x 1 grid
  186. Wed Jan 8 19:30:12 2025 read 14679176 cycles
  187. Wed Jan 8 19:31:06 2025 cycles contain 56712845 unique relations
  188. Wed Jan 8 19:37:45 2025 read 56712845 relations
  189. Wed Jan 8 19:37:51 2025 using 20 quadratic characters above 4294917295
  190. Wed Jan 8 19:38:00 2025 building initial matrix
  191. Wed Jan 8 19:56:17 2025 memory use: 7832.8 MB
  192. Wed Jan 8 19:56:34 2025 read 14679176 cycles
  193. Wed Jan 8 19:56:38 2025 matrix is 14678996 x 14679176 (7453.7 MB) with weight 2277715415 (155.17/col)
  194. Wed Jan 8 19:56:38 2025 sparse part has weight 1777788961 (121.11/col)
  195. Wed Jan 8 20:00:10 2025 filtering completed in 2 passes
  196. Wed Jan 8 20:00:13 2025 matrix is 14677807 x 14677987 (7453.6 MB) with weight 2277653723 (155.17/col)
  197. Wed Jan 8 20:00:13 2025 sparse part has weight 1777770683 (121.12/col)
  198. Wed Jan 8 20:01:44 2025 BLanczosTime: 1894
  199. Wed Jan 8 20:01:44 2025 elapsed time 02:28:18
  200. Thu Jan 9 08:37:55 2025
  201. Thu Jan 9 08:37:55 2025
  202. Thu Jan 9 08:37:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  203. Thu Jan 9 08:37:55 2025 random seeds: 317b9403 9f3ab71b
  204. Thu Jan 9 08:37:55 2025 Using 96 OpenMP threads
  205. Thu Jan 9 08:37:55 2025 factoring 1537960159764237774792643729009155214809894679401791974594242444741772565816782912964649754237276594477905702062206048266455929904595840258042069568975384538463719434664690685733 (178 digits)
  206. Thu Jan 9 08:37:56 2025 searching for 15-digit factors
  207. Thu Jan 9 08:37:56 2025 commencing number field sieve (178-digit input)
  208. Thu Jan 9 08:37:56 2025 R0: -14370833613050050283069515018085909
  209. Thu Jan 9 08:37:56 2025 R1: 3230056209577609321
  210. Thu Jan 9 08:37:56 2025 A0: -4369658836652393488201267006012991057758800
  211. Thu Jan 9 08:37:56 2025 A1: -1362509305853228336647445990763003524
  212. Thu Jan 9 08:37:56 2025 A2: 93933565393933983929251541070
  213. Thu Jan 9 08:37:56 2025 A3: 140525678781242659641
  214. Thu Jan 9 08:37:56 2025 A4: 25141854012710
  215. Thu Jan 9 08:37:56 2025 A5: 2509200
  216. Thu Jan 9 08:37:56 2025 skew 26144412.96, size 2.369e-17, alpha -7.832, combined = 1.204e-13 rroots = 3
  217. Thu Jan 9 08:37:56 2025
  218. Thu Jan 9 08:37:56 2025 commencing linear algebra
  219. Thu Jan 9 08:37:56 2025 using VBITS=256
  220. Thu Jan 9 08:37:56 2025 skipping matrix build
  221. Thu Jan 9 08:38:00 2025 matrix starts at (0, 0)
  222. Thu Jan 9 08:38:02 2025 matrix is 14677807 x 14677987 (7453.6 MB) with weight 2277653723 (155.17/col)
  223. Thu Jan 9 08:38:02 2025 sparse part has weight 1777770683 (121.12/col)
  224. Thu Jan 9 08:38:02 2025 saving the first 240 matrix rows for later
  225. Thu Jan 9 08:38:04 2025 matrix includes 256 packed rows
  226. Thu Jan 9 08:38:09 2025 matrix is 14677567 x 14677987 (6747.3 MB) with weight 1633096316 (111.26/col)
  227. Thu Jan 9 08:38:09 2025 sparse part has weight 1533917816 (104.50/col)
  228. Thu Jan 9 08:38:09 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  229. Thu Jan 9 08:38:45 2025 commencing Lanczos iteration (96 threads)
  230. Thu Jan 9 08:38:45 2025 memory use: 9082.3 MB
  231. Thu Jan 9 08:43:10 2025 linear algebra at 0.2%, ETA 34h55m
  232. Thu Jan 9 08:45:48 2025 checking every 10000 dimensions, checkpointing every 660000 dimensions
  233. Thu Jan 9 22:32:59 2025 lanczos halted after 57508 iterations (dim = 14677565)
  234. Thu Jan 9 22:34:10 2025 recovered 30 nontrivial dependencies
  235. Thu Jan 9 22:34:11 2025 BLanczosTime: 50175
  236. Thu Jan 9 22:34:11 2025
  237. Thu Jan 9 22:34:11 2025 commencing square root phase
  238. Thu Jan 9 22:34:11 2025 handling dependencies 1 to 64
  239. Thu Jan 9 22:34:11 2025 reading relations for dependency 1
  240. Thu Jan 9 22:34:13 2025 read 7336184 cycles
  241. Thu Jan 9 22:34:26 2025 cycles contain 28347198 unique relations
  242. Thu Jan 9 22:39:39 2025 read 28347198 relations
  243. Thu Jan 9 22:41:13 2025 multiplying 28347198 relations
  244. Thu Jan 9 22:56:25 2025 multiply complete, coefficients have about 1687.38 million bits
  245. Thu Jan 9 22:56:30 2025 initial square root is modulo 37079011
  246. Thu Jan 9 23:06:08 2025 sqrtTime: 1917
  247. Thu Jan 9 23:06:08 2025 p77 factor: 50997656979347683481478732062176309988781338825730738996279171578455425052517
  248. Thu Jan 9 23:06:08 2025 p101 factor: 30157467045732303537356270375652801351800617919490576756667922761228899920831564861909945791106477249
  249. Thu Jan 9 23:06:08 2025 elapsed time 14:28:13
  250.  
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