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177__623_5m1 msieve.log

kyleaskine
Sep 14th, 2026
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  1. Mon Sep 14 05:33:47 2026
  2. Mon Sep 14 05:33:47 2026
  3. Mon Sep 14 05:33:47 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 14 05:33:47 2026 random seeds: 874c2c4c b6a4d3f1
  5. Mon Sep 14 05:33:47 2026 Using 8 OpenMP threads
  6. Mon Sep 14 05:33:47 2026 factoring 61380092368627581659801489946490425815768826836007436765657052301829414149774405813183556831266992220664921715618981365534098895312711415544187520617 (149 digits)
  7. Mon Sep 14 05:33:48 2026 no P-1/P+1/ECM available, skipping
  8. Mon Sep 14 05:33:48 2026 commencing number field sieve (149-digit input)
  9. Mon Sep 14 05:33:48 2026 R0: -107882137775118260947862892212
  10. Mon Sep 14 05:33:48 2026 R1: 25118678957795238079
  11. Mon Sep 14 05:33:48 2026 A0: 107336215267438935657848472134306760
  12. Mon Sep 14 05:33:48 2026 A1: 228128069805402360089543646235
  13. Mon Sep 14 05:33:48 2026 A2: -127529537520689950177367
  14. Mon Sep 14 05:33:48 2026 A3: -143030991290465562
  15. Mon Sep 14 05:33:48 2026 A4: 5105512624
  16. Mon Sep 14 05:33:48 2026 A5: 16800
  17. Mon Sep 14 05:33:48 2026 skew 1915649.80, size 2.532e-14, alpha -6.239, combined = 7.894e-12 rroots = 3
  18. Mon Sep 14 05:33:48 2026
  19. Mon Sep 14 05:33:48 2026 commencing relation filtering
  20. Mon Sep 14 05:33:48 2026 estimated available RAM is 78540.1 MB
  21. Mon Sep 14 05:33:48 2026 commencing duplicate removal, pass 1
  22. Mon Sep 14 05:37:36 2026 found 8109793 hash collisions in 68026110 relations
  23. Mon Sep 14 05:37:54 2026 added 121590 free relations
  24. Mon Sep 14 05:37:54 2026 commencing duplicate removal, pass 2
  25. Mon Sep 14 05:38:31 2026 found 7244665 duplicates and 60903035 unique relations
  26. Mon Sep 14 05:38:31 2026 memory use: 277.2 MB
  27. Mon Sep 14 05:38:31 2026 reading ideals above 720000
  28. Mon Sep 14 05:38:31 2026 commencing singleton removal, initial pass
  29. Mon Sep 14 05:43:55 2026 memory use: 1506.0 MB
  30. Mon Sep 14 05:43:55 2026 reading all ideals from disk
  31. Mon Sep 14 05:43:57 2026 memory use: 2641.2 MB
  32. Mon Sep 14 05:44:01 2026 keeping 61948144 ideals with weight <= 200, target excess is 282045
  33. Mon Sep 14 05:44:08 2026 commencing in-memory singleton removal
  34. Mon Sep 14 05:44:09 2026 begin with 60903035 relations and 61948144 unique ideals
  35. Mon Sep 14 05:44:20 2026 reduce to 31472430 relations and 28831159 ideals in 17 passes
  36. Mon Sep 14 05:44:20 2026 max relations containing the same ideal: 135
  37. Mon Sep 14 05:44:34 2026 removing 2986236 relations and 2586236 ideals in 400000 cliques
  38. Mon Sep 14 05:44:35 2026 commencing in-memory singleton removal
  39. Mon Sep 14 05:44:35 2026 begin with 28486194 relations and 28831159 unique ideals
  40. Mon Sep 14 05:44:39 2026 reduce to 28243319 relations and 25997861 ideals in 10 passes
  41. Mon Sep 14 05:44:39 2026 max relations containing the same ideal: 126
  42. Mon Sep 14 05:44:51 2026 removing 2286913 relations and 1886913 ideals in 400000 cliques
  43. Mon Sep 14 05:44:52 2026 commencing in-memory singleton removal
  44. Mon Sep 14 05:44:52 2026 begin with 25956406 relations and 25997861 unique ideals
  45. Mon Sep 14 05:44:55 2026 reduce to 25789336 relations and 23941380 ideals in 8 passes
  46. Mon Sep 14 05:44:55 2026 max relations containing the same ideal: 120
  47. Mon Sep 14 05:45:07 2026 removing 2084424 relations and 1684424 ideals in 400000 cliques
  48. Mon Sep 14 05:45:07 2026 commencing in-memory singleton removal
  49. Mon Sep 14 05:45:08 2026 begin with 23704912 relations and 23941380 unique ideals
  50. Mon Sep 14 05:45:11 2026 reduce to 23549614 relations and 22099299 ideals in 8 passes
  51. Mon Sep 14 05:45:11 2026 max relations containing the same ideal: 115
  52. Mon Sep 14 05:45:21 2026 removing 1995362 relations and 1595362 ideals in 400000 cliques
  53. Mon Sep 14 05:45:21 2026 commencing in-memory singleton removal
  54. Mon Sep 14 05:45:21 2026 begin with 21554252 relations and 22099299 unique ideals
  55. Mon Sep 14 05:45:25 2026 reduce to 21395033 relations and 20342185 ideals in 9 passes
  56. Mon Sep 14 05:45:25 2026 max relations containing the same ideal: 105
  57. Mon Sep 14 05:45:34 2026 removing 1953442 relations and 1553442 ideals in 400000 cliques
  58. Mon Sep 14 05:45:34 2026 commencing in-memory singleton removal
  59. Mon Sep 14 05:45:35 2026 begin with 19441591 relations and 20342185 unique ideals
  60. Mon Sep 14 05:45:37 2026 reduce to 19270376 relations and 18614571 ideals in 9 passes
  61. Mon Sep 14 05:45:37 2026 max relations containing the same ideal: 96
  62. Mon Sep 14 05:45:45 2026 removing 1667851 relations and 1339219 ideals in 328632 cliques
  63. Mon Sep 14 05:45:46 2026 commencing in-memory singleton removal
  64. Mon Sep 14 05:45:46 2026 begin with 17602525 relations and 18614571 unique ideals
  65. Mon Sep 14 05:45:48 2026 reduce to 17463701 relations and 17134381 ideals in 9 passes
  66. Mon Sep 14 05:45:48 2026 max relations containing the same ideal: 92
  67. Mon Sep 14 05:45:57 2026 relations with 0 large ideals: 1029
  68. Mon Sep 14 05:45:57 2026 relations with 1 large ideals: 2880
  69. Mon Sep 14 05:45:57 2026 relations with 2 large ideals: 47280
  70. Mon Sep 14 05:45:57 2026 relations with 3 large ideals: 352947
  71. Mon Sep 14 05:45:57 2026 relations with 4 large ideals: 1415529
  72. Mon Sep 14 05:45:57 2026 relations with 5 large ideals: 3357100
  73. Mon Sep 14 05:45:57 2026 relations with 6 large ideals: 4909200
  74. Mon Sep 14 05:45:57 2026 relations with 7+ large ideals: 7377736
  75. Mon Sep 14 05:45:57 2026 commencing 2-way merge
  76. Mon Sep 14 05:46:10 2026 reduce to 10688698 relation sets and 10359378 unique ideals
  77. Mon Sep 14 05:46:10 2026 commencing full merge
  78. Mon Sep 14 05:48:40 2026 memory use: 1072.5 MB
  79. Mon Sep 14 05:48:41 2026 found 4899129 cycles, need 4867578
  80. Mon Sep 14 05:48:42 2026 weight of 4867578 cycles is about 438486143 (90.08/cycle)
  81. Mon Sep 14 05:48:42 2026 distribution of cycle lengths:
  82. Mon Sep 14 05:48:42 2026 1 relations: 449275
  83. Mon Sep 14 05:48:42 2026 2 relations: 452726
  84. Mon Sep 14 05:48:42 2026 3 relations: 457108
  85. Mon Sep 14 05:48:42 2026 4 relations: 432809
  86. Mon Sep 14 05:48:42 2026 5 relations: 401512
  87. Mon Sep 14 05:48:42 2026 6 relations: 375252
  88. Mon Sep 14 05:48:42 2026 7 relations: 338336
  89. Mon Sep 14 05:48:42 2026 8 relations: 304838
  90. Mon Sep 14 05:48:42 2026 9 relations: 275089
  91. Mon Sep 14 05:48:42 2026 10+ relations: 1380633
  92. Mon Sep 14 05:48:42 2026 heaviest cycle: 26 relations
  93. Mon Sep 14 05:48:43 2026 commencing cycle optimization
  94. Mon Sep 14 05:48:50 2026 start with 34869315 relations
  95. Mon Sep 14 05:49:33 2026 pruned 995496 relations
  96. Mon Sep 14 05:49:34 2026 memory use: 1068.2 MB
  97. Mon Sep 14 05:49:34 2026 distribution of cycle lengths:
  98. Mon Sep 14 05:49:34 2026 1 relations: 449275
  99. Mon Sep 14 05:49:34 2026 2 relations: 464154
  100. Mon Sep 14 05:49:34 2026 3 relations: 473999
  101. Mon Sep 14 05:49:34 2026 4 relations: 444745
  102. Mon Sep 14 05:49:34 2026 5 relations: 414169
  103. Mon Sep 14 05:49:34 2026 6 relations: 383178
  104. Mon Sep 14 05:49:34 2026 7 relations: 345626
  105. Mon Sep 14 05:49:34 2026 8 relations: 309411
  106. Mon Sep 14 05:49:34 2026 9 relations: 277014
  107. Mon Sep 14 05:49:34 2026 10+ relations: 1306007
  108. Mon Sep 14 05:49:34 2026 heaviest cycle: 26 relations
  109. Mon Sep 14 05:49:40 2026 RelProcTime: 952
  110. Mon Sep 14 05:49:40 2026
  111. Mon Sep 14 05:49:40 2026 commencing linear algebra
  112. Mon Sep 14 05:49:40 2026 using VBITS=256
  113. Mon Sep 14 05:49:40 2026 read 4867578 cycles
  114. Mon Sep 14 05:49:46 2026 cycles contain 17164083 unique relations
  115. Mon Sep 14 05:49:54 2026 read 17164083 relations
  116. Mon Sep 14 05:49:57 2026 using 20 quadratic characters above 4294917295
  117. Mon Sep 14 05:50:02 2026 building initial matrix
  118. Mon Sep 14 05:51:59 2026 memory use: 2250.1 MB
  119. Mon Sep 14 05:52:01 2026 read 4867578 cycles
  120. Mon Sep 14 05:52:01 2026 matrix is 4867400 x 4867578 (1817.9 MB) with weight 569641293 (117.03/col)
  121. Mon Sep 14 05:52:01 2026 sparse part has weight 418141701 (85.90/col)
  122. Mon Sep 14 05:52:30 2026 filtering completed in 2 passes
  123. Mon Sep 14 05:52:31 2026 matrix is 4864800 x 4864978 (1817.7 MB) with weight 569528708 (117.07/col)
  124. Mon Sep 14 05:52:31 2026 sparse part has weight 418113321 (85.94/col)
  125. Mon Sep 14 05:52:38 2026 matrix starts at (0, 0)
  126. Mon Sep 14 05:52:39 2026 matrix is 4864800 x 4864978 (1817.7 MB) with weight 569528708 (117.07/col)
  127. Mon Sep 14 05:52:39 2026 sparse part has weight 418113321 (85.94/col)
  128. Mon Sep 14 05:52:39 2026 saving the first 240 matrix rows for later
  129. Mon Sep 14 05:52:39 2026 matrix includes 256 packed rows
  130. Mon Sep 14 05:52:40 2026 matrix is 4864560 x 4864978 (1654.8 MB) with weight 380962528 (78.31/col)
  131. Mon Sep 14 05:52:40 2026 sparse part has weight 355958222 (73.17/col)
  132. Mon Sep 14 05:52:41 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  133. Mon Sep 14 05:52:41 2026 selected card has CUDA arch 12.0
  134. Mon Sep 14 05:52:41 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 73.2)
  135. Mon Sep 14 05:52:41 2026 nonzeros per matrix block: 128000000
  136. Mon Sep 14 05:53:04 2026 commencing Lanczos iteration
  137. Mon Sep 14 05:53:06 2026 memory use: 4014.8 MB
  138. Mon Sep 14 05:53:14 2026 linear algebra at 0.6%, ETA 0h21m
  139. Mon Sep 14 05:53:26 2026 checking every 230000 dimensions, checkpointing every 14030000 dimensions
  140. Mon Sep 14 06:14:55 2026 lanczos halted after 19061 iterations (dim = 4864560)
  141. Mon Sep 14 06:15:05 2026 recovered 32 nontrivial dependencies
  142. Mon Sep 14 06:15:06 2026 BLanczosTime: 1526
  143. Mon Sep 14 06:15:06 2026
  144. Mon Sep 14 06:15:06 2026 commencing square root phase
  145. Mon Sep 14 06:15:06 2026 reading relations for dependency 1
  146. Mon Sep 14 06:15:06 2026 read 2434429 cycles
  147. Mon Sep 14 06:15:08 2026 cycles contain 8587348 unique relations
  148. Mon Sep 14 06:15:19 2026 read 8587348 relations
  149. Mon Sep 14 06:15:39 2026 multiplying 8587348 relations
  150. Mon Sep 14 06:16:19 2026 multiply complete, coefficients have about 412.59 million bits
  151. Mon Sep 14 06:16:20 2026 initial square root is modulo 25301767
  152. Mon Sep 14 06:17:44 2026 sqrtTime: 158
  153. Mon Sep 14 06:17:44 2026 p72 factor: 277803922402385566727689892624353400468420726424552281131322109849137101
  154. Mon Sep 14 06:17:44 2026 p78 factor: 220947536801591598288543729190204033605849662889691978597798334191685775899917
  155. Mon Sep 14 06:17:44 2026 elapsed time 00:43:57
  156. Mon Sep 14 07:38:46 2026
  157. Mon Sep 14 07:38:46 2026
  158. Mon Sep 14 07:38:46 2026 Msieve v. 1.54 (SVN unknown)
  159. Mon Sep 14 07:38:46 2026 random seeds: 11a64ca3 6f22c650
  160. Mon Sep 14 07:38:46 2026 Using 8 OpenMP threads
  161. Mon Sep 14 07:38:46 2026 factoring 432242519771018526061989338549220828801163337873095528554746946943232752533960605268306026475194710968233675282083910479780799281644263879154437152402917656926545050255324863584169827593275088518477674064591 (207 digits)
  162. Mon Sep 14 07:38:47 2026 no P-1/P+1/ECM available, skipping
  163. Mon Sep 14 07:38:47 2026 commencing number field sieve (207-digit input)
  164. Mon Sep 14 07:38:47 2026 R0: 17733398623959203137575968595478402593818471318353454623
  165. Mon Sep 14 07:38:47 2026 R1: -1
  166. Mon Sep 14 07:38:47 2026 A0: 1
  167. Mon Sep 14 07:38:47 2026 A1: 1
  168. Mon Sep 14 07:38:47 2026 A2: 1
  169. Mon Sep 14 07:38:47 2026 A3: 1
  170. Mon Sep 14 07:38:47 2026 A4: 1
  171. Mon Sep 14 07:38:47 2026 skew 1.96, size 1.627e-22, alpha 1.694, combined = 2.037e-13 rroots = 0
  172. Mon Sep 14 07:38:47 2026
  173. Mon Sep 14 07:38:47 2026 commencing relation filtering
  174. Mon Sep 14 07:38:47 2026 setting 3 target densities:Mon Sep 14 07:38:47 2026 90Mon Sep 14 07:38:47 2026 110Mon Sep 14 07:38:47 2026 130Mon Sep 14 07:38:47 2026
  175. Mon Sep 14 07:38:47 2026 estimated available RAM is 78540.1 MB
  176. Mon Sep 14 07:38:47 2026 commencing duplicate removal, pass 1
  177. Mon Sep 14 07:41:08 2026 error -1 reading relation 30723220
  178. Mon Sep 14 07:42:33 2026 error -1 reading relation 54036007
  179. Mon Sep 14 07:43:05 2026 error -1 reading relation 64690758
  180. Mon Sep 14 07:43:59 2026 error -1 reading relation 91720225
  181. Mon Sep 14 07:44:01 2026 error -1 reading relation 92820615
  182. Mon Sep 14 07:44:02 2026 error -1 reading relation 93392255
  183. Mon Sep 14 07:44:08 2026 error -1 reading relation 95980715
  184. Mon Sep 14 07:44:19 2026 error -1 reading relation 102096058
  185. Mon Sep 14 07:45:23 2026 error -1 reading relation 131244732
  186. Mon Sep 14 07:45:24 2026 error -1 reading relation 131801356
  187. Mon Sep 14 07:45:25 2026 error -1 reading relation 131932356
  188. Mon Sep 14 07:45:38 2026 error -1 reading relation 139068281
  189. Mon Sep 14 07:45:46 2026 error -1 reading relation 141833513
  190. Mon Sep 14 07:45:54 2026 error -1 reading relation 146931955
  191. Mon Sep 14 07:46:10 2026 error -1 reading relation 159418337
  192. Mon Sep 14 07:46:17 2026 error -1 reading relation 166010742
  193. Mon Sep 14 07:46:28 2026 error -1 reading relation 176099207
  194. Mon Sep 14 07:46:32 2026 error -1 reading relation 180066447
  195. Mon Sep 14 07:46:34 2026 error -1 reading relation 181455556
  196. Mon Sep 14 07:46:44 2026 error -1 reading relation 191124523
  197. Mon Sep 14 07:46:44 2026 error -1 reading relation 191283269
  198. Mon Sep 14 07:46:44 2026 error -1 reading relation 191885121
  199. Mon Sep 14 07:47:12 2026 error -1 reading relation 212291586
  200. Mon Sep 14 07:47:33 2026 error -15 reading relation 228937159
  201. Mon Sep 14 07:47:34 2026 error -1 reading relation 230733064
  202. Mon Sep 14 07:47:41 2026 error -1 reading relation 239223815
  203. Mon Sep 14 07:47:41 2026 error -1 reading relation 239336546
  204. Mon Sep 14 07:47:44 2026 error -5 reading relation 242179821
  205. Mon Sep 14 07:47:44 2026 error -1 reading relation 242331245
  206. Mon Sep 14 07:47:46 2026 error -1 reading relation 245085756
  207. Mon Sep 14 07:47:46 2026 error -1 reading relation 245175916
  208. Mon Sep 14 07:47:50 2026 error -1 reading relation 249401412
  209. Mon Sep 14 07:47:55 2026 error -1 reading relation 254968614
  210. Mon Sep 14 07:48:10 2026 error -1 reading relation 273767843
  211. Mon Sep 14 07:48:10 2026 error -1 reading relation 273788255
  212. Mon Sep 14 07:48:11 2026 error -1 reading relation 275242770
  213. Mon Sep 14 07:48:11 2026 error -1 reading relation 275279451
  214. Mon Sep 14 07:48:22 2026 skipped 712 relations with b > 2^32
  215. Mon Sep 14 07:48:22 2026 skipped 1 relations with composite factors
  216. Mon Sep 14 07:48:22 2026 skipped 392 malformed relations
  217. Mon Sep 14 07:48:22 2026 found 35940388 hash collisions in 287516846 relations
  218. Mon Sep 14 07:48:25 2026 added 3657741 free relations
  219. Mon Sep 14 07:48:25 2026 commencing duplicate removal, pass 2
  220. Mon Sep 14 07:50:05 2026 found 32334179 duplicates and 258840408 unique relations
  221. Mon Sep 14 07:50:05 2026 memory use: 1577.5 MB
  222. Mon Sep 14 07:50:05 2026 reading ideals above 720000
  223. Mon Sep 14 07:50:05 2026 commencing singleton removal, initial pass
  224. Mon Sep 14 08:00:45 2026 memory use: 6024.0 MB
  225. Mon Sep 14 08:00:45 2026 reading all ideals from disk
  226. Mon Sep 14 08:00:59 2026 memory use: 12226.9 MB
  227. Mon Sep 14 08:01:25 2026 keeping 243613040 ideals with weight <= 200, target excess is 1215611
  228. Mon Sep 14 08:01:44 2026 commencing in-memory singleton removal
  229. Mon Sep 14 08:01:47 2026 begin with 258840408 relations and 243613040 unique ideals
  230. Mon Sep 14 08:02:09 2026 reduce to 154632395 relations and 127773944 ideals in 15 passes
  231. Mon Sep 14 08:02:09 2026 max relations containing the same ideal: 148
  232. Mon Sep 14 08:02:46 2026 removing 12467831 relations and 10467831 ideals in 2000000 cliques
  233. Mon Sep 14 08:02:49 2026 commencing in-memory singleton removal
  234. Mon Sep 14 08:02:51 2026 begin with 142164564 relations and 127773944 unique ideals
  235. Mon Sep 14 08:03:01 2026 reduce to 141373206 relations and 116501139 ideals in 10 passes
  236. Mon Sep 14 08:03:01 2026 max relations containing the same ideal: 140
  237. Mon Sep 14 08:03:35 2026 removing 9469465 relations and 7469465 ideals in 2000000 cliques
  238. Mon Sep 14 08:03:37 2026 commencing in-memory singleton removal
  239. Mon Sep 14 08:03:39 2026 begin with 131903741 relations and 116501139 unique ideals
  240. Mon Sep 14 08:03:46 2026 reduce to 131383002 relations and 108503013 ideals in 8 passes
  241. Mon Sep 14 08:03:46 2026 max relations containing the same ideal: 134
  242. Mon Sep 14 08:04:19 2026 removing 8541721 relations and 6541721 ideals in 2000000 cliques
  243. Mon Sep 14 08:04:21 2026 commencing in-memory singleton removal
  244. Mon Sep 14 08:04:23 2026 begin with 122841281 relations and 108503013 unique ideals
  245. Mon Sep 14 08:04:30 2026 reduce to 122386133 relations and 101499284 ideals in 8 passes
  246. Mon Sep 14 08:04:30 2026 max relations containing the same ideal: 129
  247. Mon Sep 14 08:04:59 2026 removing 8062113 relations and 6062113 ideals in 2000000 cliques
  248. Mon Sep 14 08:05:01 2026 commencing in-memory singleton removal
  249. Mon Sep 14 08:05:03 2026 begin with 114324020 relations and 101499284 unique ideals
  250. Mon Sep 14 08:05:08 2026 reduce to 113893405 relations and 94999856 ideals in 8 passes
  251. Mon Sep 14 08:05:08 2026 max relations containing the same ideal: 122
  252. Mon Sep 14 08:05:38 2026 removing 7758711 relations and 5758711 ideals in 2000000 cliques
  253. Mon Sep 14 08:05:40 2026 commencing in-memory singleton removal
  254. Mon Sep 14 08:05:41 2026 begin with 106134694 relations and 94999856 unique ideals
  255. Mon Sep 14 08:05:49 2026 reduce to 105711943 relations and 88811432 ideals in 10 passes
  256. Mon Sep 14 08:05:49 2026 max relations containing the same ideal: 117
  257. Mon Sep 14 08:06:16 2026 removing 7561247 relations and 5561247 ideals in 2000000 cliques
  258. Mon Sep 14 08:06:18 2026 commencing in-memory singleton removal
  259. Mon Sep 14 08:06:19 2026 begin with 98150696 relations and 88811432 unique ideals
  260. Mon Sep 14 08:06:25 2026 reduce to 97723613 relations and 82815834 ideals in 7 passes
  261. Mon Sep 14 08:06:25 2026 max relations containing the same ideal: 113
  262. Mon Sep 14 08:06:50 2026 removing 7419547 relations and 5419547 ideals in 2000000 cliques
  263. Mon Sep 14 08:06:52 2026 commencing in-memory singleton removal
  264. Mon Sep 14 08:06:53 2026 begin with 90304066 relations and 82815834 unique ideals
  265. Mon Sep 14 08:06:58 2026 reduce to 89867636 relations and 76951826 ideals in 8 passes
  266. Mon Sep 14 08:06:58 2026 max relations containing the same ideal: 106
  267. Mon Sep 14 08:07:20 2026 removing 7321242 relations and 5321242 ideals in 2000000 cliques
  268. Mon Sep 14 08:07:22 2026 commencing in-memory singleton removal
  269. Mon Sep 14 08:07:23 2026 begin with 82546394 relations and 76951826 unique ideals
  270. Mon Sep 14 08:07:27 2026 reduce to 82090163 relations and 71165249 ideals in 7 passes
  271. Mon Sep 14 08:07:27 2026 max relations containing the same ideal: 98
  272. Mon Sep 14 08:07:47 2026 removing 7258813 relations and 5258813 ideals in 2000000 cliques
  273. Mon Sep 14 08:07:49 2026 commencing in-memory singleton removal
  274. Mon Sep 14 08:07:50 2026 begin with 74831350 relations and 71165249 unique ideals
  275. Mon Sep 14 08:07:54 2026 reduce to 74349809 relations and 65414499 ideals in 8 passes
  276. Mon Sep 14 08:07:54 2026 max relations containing the same ideal: 92
  277. Mon Sep 14 08:08:13 2026 removing 7214738 relations and 5214738 ideals in 2000000 cliques
  278. Mon Sep 14 08:08:14 2026 commencing in-memory singleton removal
  279. Mon Sep 14 08:08:14 2026 begin with 67135071 relations and 65414499 unique ideals
  280. Mon Sep 14 08:08:18 2026 reduce to 66616775 relations and 59669338 ideals in 8 passes
  281. Mon Sep 14 08:08:18 2026 max relations containing the same ideal: 84
  282. Mon Sep 14 08:08:36 2026 removing 7191412 relations and 5191412 ideals in 2000000 cliques
  283. Mon Sep 14 08:08:37 2026 commencing in-memory singleton removal
  284. Mon Sep 14 08:08:38 2026 begin with 59425363 relations and 59669338 unique ideals
  285. Mon Sep 14 08:08:41 2026 reduce to 58860306 relations and 53898193 ideals in 9 passes
  286. Mon Sep 14 08:08:41 2026 max relations containing the same ideal: 79
  287. Mon Sep 14 08:08:56 2026 removing 7177875 relations and 5177875 ideals in 2000000 cliques
  288. Mon Sep 14 08:08:57 2026 commencing in-memory singleton removal
  289. Mon Sep 14 08:08:58 2026 begin with 51682431 relations and 53898193 unique ideals
  290. Mon Sep 14 08:09:01 2026 reduce to 51052044 relations and 48071232 ideals in 8 passes
  291. Mon Sep 14 08:09:01 2026 max relations containing the same ideal: 71
  292. Mon Sep 14 08:09:14 2026 removing 5911832 relations and 4341129 ideals in 1570703 cliques
  293. Mon Sep 14 08:09:16 2026 commencing in-memory singleton removal
  294. Mon Sep 14 08:09:16 2026 begin with 45140212 relations and 48071232 unique ideals
  295. Mon Sep 14 08:09:17 2026 reduce to 44657928 relations and 43234720 ideals in 7 passes
  296. Mon Sep 14 08:09:17 2026 max relations containing the same ideal: 64
  297. Mon Sep 14 08:09:29 2026 removing 103305 relations and 90206 ideals in 13099 cliques
  298. Mon Sep 14 08:09:30 2026 commencing in-memory singleton removal
  299. Mon Sep 14 08:09:30 2026 begin with 44554623 relations and 43234720 unique ideals
  300. Mon Sep 14 08:09:32 2026 reduce to 44554492 relations and 43144383 ideals in 5 passes
  301. Mon Sep 14 08:09:32 2026 max relations containing the same ideal: 64
  302. Mon Sep 14 08:09:33 2026 trying target density 90
  303. Mon Sep 14 08:09:35 2026 relations with 0 large ideals: 104398
  304. Mon Sep 14 08:09:35 2026 relations with 1 large ideals: 27293
  305. Mon Sep 14 08:09:35 2026 relations with 2 large ideals: 319305
  306. Mon Sep 14 08:09:35 2026 relations with 3 large ideals: 1856540
  307. Mon Sep 14 08:09:35 2026 relations with 4 large ideals: 5858659
  308. Mon Sep 14 08:09:35 2026 relations with 5 large ideals: 12290649
  309. Mon Sep 14 08:09:35 2026 relations with 6 large ideals: 11814180
  310. Mon Sep 14 08:09:35 2026 relations with 7+ large ideals: 12283468
  311. Mon Sep 14 08:09:35 2026 commencing 2-way merge
  312. Mon Sep 14 08:09:53 2026 reduce to 29116225 relation sets and 27706116 unique ideals
  313. Mon Sep 14 08:09:53 2026 commencing full merge
  314. Mon Sep 14 08:16:24 2026 memory use: 3451.4 MB
  315. Mon Sep 14 08:16:26 2026 found 14330663 cycles, need 14164316
  316. Mon Sep 14 08:16:29 2026 weight of 14164316 cycles is about 1275343439 (90.04/cycle)
  317. Mon Sep 14 08:16:29 2026 distribution of cycle lengths:
  318. Mon Sep 14 08:16:29 2026 1 relations: 912959
  319. Mon Sep 14 08:16:29 2026 2 relations: 1199200
  320. Mon Sep 14 08:16:29 2026 3 relations: 1290471
  321. Mon Sep 14 08:16:29 2026 4 relations: 1263295
  322. Mon Sep 14 08:16:29 2026 5 relations: 1216764
  323. Mon Sep 14 08:16:29 2026 6 relations: 1156319
  324. Mon Sep 14 08:16:29 2026 7 relations: 1085335
  325. Mon Sep 14 08:16:29 2026 8 relations: 998207
  326. Mon Sep 14 08:16:29 2026 9 relations: 897584
  327. Mon Sep 14 08:16:29 2026 10+ relations: 4144182
  328. Mon Sep 14 08:16:29 2026 heaviest cycle: 28 relations
  329. Mon Sep 14 08:16:31 2026 commencing cycle optimization
  330. Mon Sep 14 08:16:51 2026 start with 104032821 relations
  331. Mon Sep 14 08:19:16 2026 pruned 3938096 relations
  332. Mon Sep 14 08:19:16 2026 memory use: 2920.2 MB
  333. Mon Sep 14 08:19:16 2026 distribution of cycle lengths:
  334. Mon Sep 14 08:19:16 2026 1 relations: 912959
  335. Mon Sep 14 08:19:16 2026 2 relations: 1223347
  336. Mon Sep 14 08:19:16 2026 3 relations: 1342147
  337. Mon Sep 14 08:19:16 2026 4 relations: 1309483
  338. Mon Sep 14 08:19:16 2026 5 relations: 1270147
  339. Mon Sep 14 08:19:16 2026 6 relations: 1201647
  340. Mon Sep 14 08:19:16 2026 7 relations: 1129920
  341. Mon Sep 14 08:19:16 2026 8 relations: 1030374
  342. Mon Sep 14 08:19:16 2026 9 relations: 922722
  343. Mon Sep 14 08:19:16 2026 10+ relations: 3821570
  344. Mon Sep 14 08:19:16 2026 heaviest cycle: 28 relations
  345. Mon Sep 14 08:19:34 2026 trying target density 110
  346. Mon Sep 14 08:19:36 2026 relations with 0 large ideals: 104398
  347. Mon Sep 14 08:19:36 2026 relations with 1 large ideals: 27293
  348. Mon Sep 14 08:19:36 2026 relations with 2 large ideals: 319305
  349. Mon Sep 14 08:19:36 2026 relations with 3 large ideals: 1856540
  350. Mon Sep 14 08:19:36 2026 relations with 4 large ideals: 5858659
  351. Mon Sep 14 08:19:36 2026 relations with 5 large ideals: 12290649
  352. Mon Sep 14 08:19:36 2026 relations with 6 large ideals: 11814180
  353. Mon Sep 14 08:19:36 2026 relations with 7+ large ideals: 12283468
  354. Mon Sep 14 08:19:36 2026 commencing 2-way merge
  355. Mon Sep 14 08:19:52 2026 reduce to 29116225 relation sets and 27706116 unique ideals
  356. Mon Sep 14 08:19:52 2026 commencing full merge
  357. Mon Sep 14 08:27:46 2026 memory use: 3510.4 MB
  358. Mon Sep 14 08:27:48 2026 found 13356715 cycles, need 13296316
  359. Mon Sep 14 08:27:51 2026 weight of 13296316 cycles is about 1462793624 (110.01/cycle)
  360. Mon Sep 14 08:27:51 2026 distribution of cycle lengths:
  361. Mon Sep 14 08:27:51 2026 1 relations: 571397
  362. Mon Sep 14 08:27:51 2026 2 relations: 836806
  363. Mon Sep 14 08:27:51 2026 3 relations: 970963
  364. Mon Sep 14 08:27:51 2026 4 relations: 982612
  365. Mon Sep 14 08:27:51 2026 5 relations: 978192
  366. Mon Sep 14 08:27:51 2026 6 relations: 950412
  367. Mon Sep 14 08:27:51 2026 7 relations: 914742
  368. Mon Sep 14 08:27:51 2026 8 relations: 872935
  369. Mon Sep 14 08:27:51 2026 9 relations: 819808
  370. Mon Sep 14 08:27:51 2026 10+ relations: 5398449
  371. Mon Sep 14 08:27:51 2026 heaviest cycle: 28 relations
  372. Mon Sep 14 08:27:53 2026 commencing cycle optimization
  373. Mon Sep 14 08:28:14 2026 start with 119475741 relations
  374. Mon Sep 14 08:31:42 2026 pruned 5453307 relations
  375. Mon Sep 14 08:31:42 2026 memory use: 3077.7 MB
  376. Mon Sep 14 08:31:42 2026 distribution of cycle lengths:
  377. Mon Sep 14 08:31:42 2026 1 relations: 571397
  378. Mon Sep 14 08:31:42 2026 2 relations: 855247
  379. Mon Sep 14 08:31:42 2026 3 relations: 1012349
  380. Mon Sep 14 08:31:42 2026 4 relations: 1023100
  381. Mon Sep 14 08:31:42 2026 5 relations: 1026905
  382. Mon Sep 14 08:31:42 2026 6 relations: 993998
  383. Mon Sep 14 08:31:42 2026 7 relations: 961168
  384. Mon Sep 14 08:31:42 2026 8 relations: 913183
  385. Mon Sep 14 08:31:42 2026 9 relations: 856949
  386. Mon Sep 14 08:31:42 2026 10+ relations: 5082020
  387. Mon Sep 14 08:31:42 2026 heaviest cycle: 28 relations
  388. Mon Sep 14 08:31:59 2026 trying target density 130
  389. Mon Sep 14 08:32:02 2026 relations with 0 large ideals: 104398
  390. Mon Sep 14 08:32:02 2026 relations with 1 large ideals: 27293
  391. Mon Sep 14 08:32:02 2026 relations with 2 large ideals: 319305
  392. Mon Sep 14 08:32:02 2026 relations with 3 large ideals: 1856540
  393. Mon Sep 14 08:32:02 2026 relations with 4 large ideals: 5858659
  394. Mon Sep 14 08:32:02 2026 relations with 5 large ideals: 12290649
  395. Mon Sep 14 08:32:02 2026 relations with 6 large ideals: 11814180
  396. Mon Sep 14 08:32:02 2026 relations with 7+ large ideals: 12283468
  397. Mon Sep 14 08:32:02 2026 commencing 2-way merge
  398. Mon Sep 14 08:32:18 2026 reduce to 29116225 relation sets and 27706116 unique ideals
  399. Mon Sep 14 08:32:18 2026 commencing full merge
  400. Mon Sep 14 08:46:20 2026 memory use: 1291.4 MB
  401. Mon Sep 14 08:46:20 2026 found 144070 cycles, need 6452311
  402. Mon Sep 14 08:46:20 2026 too few cycles, matrix probably cannot build
  403. Mon Sep 14 08:46:22 2026 RelProcTime: 4055
  404. Mon Sep 14 08:46:22 2026
  405. Mon Sep 14 08:46:22 2026 commencing linear algebra
  406. Mon Sep 14 08:46:22 2026 using VBITS=256
  407. Mon Sep 14 08:46:22 2026 building matrices for all densities
  408. Mon Sep 14 08:46:22 2026 found 2 density files
  409. Mon Sep 14 08:46:22 2026 building matrix for density 90
  410. Mon Sep 14 08:46:23 2026 read 14164316 cycles
  411. Mon Sep 14 08:46:39 2026 cycles contain 43740928 unique relations
  412. Mon Sep 14 08:47:16 2026 read 43740928 relations
  413. Mon Sep 14 08:47:28 2026 using 20 quadratic characters above 4294917295
  414. Mon Sep 14 08:47:41 2026 building initial matrix
  415. Mon Sep 14 08:52:17 2026 memory use: 5422.5 MB
  416. Mon Sep 14 08:52:21 2026 read 14164316 cycles
  417. Mon Sep 14 08:52:21 2026 matrix is 14164137 x 14164316 (5239.5 MB) with weight 1510342141 (106.63/col)
  418. Mon Sep 14 08:52:21 2026 sparse part has weight 1217708579 (85.97/col)
  419. Mon Sep 14 08:53:41 2026 filtering completed in 2 passes
  420. Mon Sep 14 08:53:44 2026 matrix is 14162217 x 14162378 (5239.4 MB) with weight 1510277594 (106.64/col)
  421. Mon Sep 14 08:53:44 2026 sparse part has weight 1217683830 (85.98/col)
  422. Mon Sep 14 08:54:05 2026 building matrix for density 110
  423. Mon Sep 14 08:54:06 2026 read 13296316 cycles
  424. Mon Sep 14 08:54:21 2026 cycles contain 43747139 unique relations
  425. Mon Sep 14 08:54:44 2026 read 43747139 relations
  426. Mon Sep 14 08:54:55 2026 using 20 quadratic characters above 4294917295
  427. Mon Sep 14 08:55:08 2026 building initial matrix
  428. Mon Sep 14 09:00:49 2026 memory use: 5417.9 MB
  429. Mon Sep 14 09:00:54 2026 read 13296316 cycles
  430. Mon Sep 14 09:00:55 2026 matrix is 13296138 x 13296316 (5815.4 MB) with weight 1667495176 (125.41/col)
  431. Mon Sep 14 09:00:55 2026 sparse part has weight 1378204054 (103.65/col)
  432. Mon Sep 14 09:02:21 2026 filtering completed in 2 passes
  433. Mon Sep 14 09:02:24 2026 matrix is 13295710 x 13295870 (5815.3 MB) with weight 1667481626 (125.41/col)
  434. Mon Sep 14 09:02:24 2026 sparse part has weight 1378200230 (103.66/col)
  435. Mon Sep 14 09:02:43 2026 BLanczosTime: 981
  436. Mon Sep 14 09:02:43 2026 elapsed time 01:23:57
  437. Mon Sep 14 15:57:36 2026
  438. Mon Sep 14 15:57:36 2026
  439. Mon Sep 14 15:57:36 2026 Msieve v. 1.54 (SVN unknown)
  440. Mon Sep 14 15:57:36 2026 random seeds: 0111ee3f 1a5e29cd
  441. Mon Sep 14 15:57:36 2026 factoring 432242519771018526061989338549220828801163337873095528554746946943232752533960605268306026475194710968233675282083910479780799281644263879154437152402917656926545050255324863584169827593275088518477674064591 (207 digits)
  442. Mon Sep 14 15:57:36 2026 no P-1/P+1/ECM available, skipping
  443. Mon Sep 14 15:57:36 2026 commencing number field sieve (207-digit input)
  444. Mon Sep 14 15:57:36 2026 R0: 17733398623959203137575968595478402593818471318353454623
  445. Mon Sep 14 15:57:36 2026 R1: -1
  446. Mon Sep 14 15:57:36 2026 A0: 1
  447. Mon Sep 14 15:57:36 2026 A1: 1
  448. Mon Sep 14 15:57:36 2026 A2: 1
  449. Mon Sep 14 15:57:36 2026 A3: 1
  450. Mon Sep 14 15:57:36 2026 A4: 1
  451. Mon Sep 14 15:57:36 2026 skew 1.96, size 1.627e-22, alpha 1.694, combined = 2.037e-13 rroots = 0
  452. Mon Sep 14 15:57:36 2026
  453. Mon Sep 14 15:57:36 2026 commencing linear algebra
  454. Mon Sep 14 15:57:36 2026 using VBITS=256
  455. Mon Sep 14 15:57:36 2026 skipping matrix build
  456. Mon Sep 14 15:57:37 2026 matrix starts at (0, 0)
  457. Mon Sep 14 15:57:38 2026 matrix is 13295710 x 13295870 (5815.3 MB) with weight 1667481626 (125.41/col)
  458. Mon Sep 14 15:57:38 2026 sparse part has weight 1378200230 (103.66/col)
  459. Mon Sep 14 15:57:38 2026 saving the first 240 matrix rows for later
  460. Mon Sep 14 15:57:39 2026 matrix includes 256 packed rows
  461. Mon Sep 14 15:57:41 2026 matrix is 13295470 x 13295870 (5363.1 MB) with weight 1256858091 (94.53/col)
  462. Mon Sep 14 15:57:41 2026 sparse part has weight 1193181454 (89.74/col)
  463. Mon Sep 14 15:57:42 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  464. Mon Sep 14 15:57:42 2026 selected card has CUDA arch 12.0
  465. Mon Sep 14 15:57:42 2026 computed block_nnz 141150007 (L2 cache 100663296 bytes, average column weight 89.7)
  466. Mon Sep 14 15:57:42 2026 nonzeros per matrix block: 256000000
  467. Mon Sep 14 16:00:10 2026 commencing Lanczos iteration
  468. Mon Sep 14 16:00:11 2026 memory use: 12856.5 MB
  469. Mon Sep 14 16:00:21 2026 linear algebra at 0.2%, ETA 1h 4m
  470. Mon Sep 14 16:00:35 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions
  471. Mon Sep 14 17:06:45 2026 lanczos halted after 52092 iterations (dim = 13295466)
  472. Mon Sep 14 17:07:54 2026 recovered 35 nontrivial dependencies
  473. Mon Sep 14 17:07:55 2026 BLanczosTime: 4219
  474. Mon Sep 14 17:07:55 2026 elapsed time 01:10:19
  475. Mon Sep 14 13:13:26 2026
  476. Mon Sep 14 13:13:26 2026
  477. Mon Sep 14 13:13:26 2026 Msieve v. 1.54 (SVN unknown)
  478. Mon Sep 14 13:13:26 2026 random seeds: 725023f0 0bbfdeb7
  479. Mon Sep 14 13:13:26 2026 Using 8 OpenMP threads
  480. Mon Sep 14 13:13:26 2026 factoring 432242519771018526061989338549220828801163337873095528554746946943232752533960605268306026475194710968233675282083910479780799281644263879154437152402917656926545050255324863584169827593275088518477674064591 (207 digits)
  481. Mon Sep 14 13:13:26 2026 no P-1/P+1/ECM available, skipping
  482. Mon Sep 14 13:13:26 2026 commencing number field sieve (207-digit input)
  483. Mon Sep 14 13:13:26 2026 R0: 17733398623959203137575968595478402593818471318353454623
  484. Mon Sep 14 13:13:26 2026 R1: -1
  485. Mon Sep 14 13:13:26 2026 A0: 1
  486. Mon Sep 14 13:13:26 2026 A1: 1
  487. Mon Sep 14 13:13:26 2026 A2: 1
  488. Mon Sep 14 13:13:26 2026 A3: 1
  489. Mon Sep 14 13:13:26 2026 A4: 1
  490. Mon Sep 14 13:13:26 2026 skew 1.96, size 1.627e-22, alpha 1.694, combined = 2.037e-13 rroots = 0
  491. Mon Sep 14 13:13:26 2026
  492. Mon Sep 14 13:13:26 2026 commencing square root phase
  493. Mon Sep 14 13:13:26 2026 reading relations for dependency 1
  494. Mon Sep 14 13:13:27 2026 read 6649348 cycles
  495. Mon Sep 14 13:13:36 2026 cycles contain 21872686 unique relations
  496. Mon Sep 14 13:14:23 2026 read 21872686 relations
  497. Mon Sep 14 13:15:15 2026 multiplying 21872686 relations
  498. Mon Sep 14 13:15:47 2026 multiply complete, coefficients have about 569.89 million bits
  499. Mon Sep 14 13:15:48 2026 initial square root is modulo 129707
  500. Mon Sep 14 13:17:04 2026 GCD is N, no factor found
  501. Mon Sep 14 13:17:04 2026 reading relations for dependency 2
  502. Mon Sep 14 13:17:05 2026 read 6648930 cycles
  503. Mon Sep 14 13:17:13 2026 cycles contain 21877914 unique relations
  504. Mon Sep 14 13:17:28 2026 read 21877914 relations
  505. Mon Sep 14 13:18:15 2026 multiplying 21877914 relations
  506. Mon Sep 14 13:18:47 2026 multiply complete, coefficients have about 570.03 million bits
  507. Mon Sep 14 13:18:47 2026 initial square root is modulo 130043
  508. Mon Sep 14 13:20:03 2026 GCD is N, no factor found
  509. Mon Sep 14 13:20:03 2026 reading relations for dependency 3
  510. Mon Sep 14 13:20:04 2026 read 6650276 cycles
  511. Mon Sep 14 13:20:12 2026 cycles contain 21879728 unique relations
  512. Mon Sep 14 13:20:26 2026 read 21879728 relations
  513. Mon Sep 14 13:21:14 2026 multiplying 21879728 relations
  514. Mon Sep 14 13:21:47 2026 multiply complete, coefficients have about 570.07 million bits
  515. Mon Sep 14 13:21:47 2026 initial square root is modulo 130147
  516. Mon Sep 14 13:23:04 2026 sqrtTime: 578
  517. Mon Sep 14 13:23:04 2026 p55 factor: 3836946339110631825955543875342318057546529003278616931
  518. Mon Sep 14 13:23:04 2026 p153 factor: 112652740374578261125755588996809111511869646822407695142541732182688940290075920143982599898174397557582768516934186345268970299562440136855236045277861
  519. Mon Sep 14 13:23:04 2026 elapsed time 00:09:38
  520.  
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