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  1. Sun May 21 23:29:53 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  2. Sun May 21 23:29:53 2023 random seeds: 534d18c9 f7ceadfb
  3. Sun May 21 23:29:53 2023 MPI process 0 of 1
  4. Sun May 21 23:29:53 2023 Using 16 OpenMP threads
  5. Sun May 21 23:29:53 2023 factoring 277925522388721008596415044622763541162993397376377955299712147330947404051814521982903816589781631839732837948825322493823830679590988503676947605899678905539480845684289846713205736669619882676702740322691049762713 (216 digits)
  6. Sun May 21 23:29:54 2023 no P-1/P+1/ECM available, skipping
  7. Sun May 21 23:29:54 2023 commencing number field sieve (216-digit input)
  8. Sun May 21 23:29:54 2023 R0: 1427247692705959881058285969449495136382746624
  9. Sun May 21 23:29:54 2023 R1: -608266787713357709119683992618861307
  10. Sun May 21 23:29:54 2023 A0: 4
  11. Sun May 21 23:29:54 2023 A1: 0
  12. Sun May 21 23:29:54 2023 A2: 0
  13. Sun May 21 23:29:54 2023 A3: 0
  14. Sun May 21 23:29:54 2023 A4: 0
  15. Sun May 21 23:29:54 2023 A5: 0
  16. Sun May 21 23:29:54 2023 A6: 3
  17. Sun May 21 23:29:54 2023 skew 1.05, size 2.454e-13, alpha 1.261, combined = 3.995e-14 rroots = 0
  18. Sun May 21 23:29:54 2023
  19. Sun May 21 23:29:54 2023 commencing relation filtering
  20. Sun May 21 23:29:54 2023 setting target matrix density to 100.0
  21. Sun May 21 23:29:54 2023 estimated available RAM is 64226.6 MB
  22. Sun May 21 23:29:54 2023 commencing duplicate removal, pass 1
  23. Sun May 21 23:33:15 2023 skipped 1392 relations with b > 2^32
  24. Sun May 21 23:33:15 2023 found 16692113 hash collisions in 279304196 relations
  25. Sun May 21 23:33:18 2023 added 2438315 free relations
  26. Sun May 21 23:33:18 2023 commencing duplicate removal, pass 2
  27. Sun May 21 23:34:09 2023 found 0 duplicates and 281742511 unique relations
  28. Sun May 21 23:34:09 2023 memory use: 852.8 MB
  29. Sun May 21 23:34:09 2023 reading ideals above 720000
  30. Sun May 21 23:34:09 2023 commencing singleton removal, initial pass
  31. Sun May 21 23:43:04 2023 memory use: 6024.0 MB
  32. Sun May 21 23:43:04 2023 reading all ideals from disk
  33. Sun May 21 23:43:06 2023 memory use: 14054.3 MB
  34. Sun May 21 23:43:18 2023 keeping 268439162 ideals with weight <= 200, target excess is 1463397
  35. Sun May 21 23:43:35 2023 commencing in-memory singleton removal
  36. Sun May 21 23:43:40 2023 begin with 281742511 relations and 268439162 unique ideals
  37. Sun May 21 23:44:22 2023 reduce to 187317196 relations and 167590219 ideals in 19 passes
  38. Sun May 21 23:44:22 2023 max relations containing the same ideal: 162
  39. Sun May 21 23:44:59 2023 removing 16108935 relations and 14108935 ideals in 2000000 cliques
  40. Sun May 21 23:45:03 2023 commencing in-memory singleton removal
  41. Sun May 21 23:45:06 2023 begin with 171208261 relations and 167590219 unique ideals
  42. Sun May 21 23:45:25 2023 reduce to 169996849 relations and 152251105 ideals in 11 passes
  43. Sun May 21 23:45:25 2023 max relations containing the same ideal: 151
  44. Sun May 21 23:45:59 2023 removing 12072236 relations and 10072236 ideals in 2000000 cliques
  45. Sun May 21 23:46:02 2023 commencing in-memory singleton removal
  46. Sun May 21 23:46:05 2023 begin with 157924613 relations and 152251105 unique ideals
  47. Sun May 21 23:46:23 2023 reduce to 157158289 relations and 141402630 ideals in 11 passes
  48. Sun May 21 23:46:23 2023 max relations containing the same ideal: 144
  49. Sun May 21 23:46:53 2023 removing 10839915 relations and 8839915 ideals in 2000000 cliques
  50. Sun May 21 23:46:57 2023 commencing in-memory singleton removal
  51. Sun May 21 23:46:59 2023 begin with 146318374 relations and 141402630 unique ideals
  52. Sun May 21 23:47:13 2023 reduce to 145648010 relations and 131883676 ideals in 9 passes
  53. Sun May 21 23:47:13 2023 max relations containing the same ideal: 137
  54. Sun May 21 23:47:42 2023 removing 10199770 relations and 8199770 ideals in 2000000 cliques
  55. Sun May 21 23:47:45 2023 commencing in-memory singleton removal
  56. Sun May 21 23:47:47 2023 begin with 135448240 relations and 131883676 unique ideals
  57. Sun May 21 23:47:58 2023 reduce to 134811338 relations and 123038572 ideals in 8 passes
  58. Sun May 21 23:47:58 2023 max relations containing the same ideal: 130
  59. Sun May 21 23:48:25 2023 removing 9810690 relations and 7810690 ideals in 2000000 cliques
  60. Sun May 21 23:48:28 2023 commencing in-memory singleton removal
  61. Sun May 21 23:48:30 2023 begin with 125000648 relations and 123038572 unique ideals
  62. Sun May 21 23:48:43 2023 reduce to 124369356 relations and 114587889 ideals in 10 passes
  63. Sun May 21 23:48:43 2023 max relations containing the same ideal: 121
  64. Sun May 21 23:49:08 2023 removing 9568747 relations and 7568747 ideals in 2000000 cliques
  65. Sun May 21 23:49:11 2023 commencing in-memory singleton removal
  66. Sun May 21 23:49:13 2023 begin with 114800609 relations and 114587889 unique ideals
  67. Sun May 21 23:49:24 2023 reduce to 114155190 relations and 106364094 ideals in 10 passes
  68. Sun May 21 23:49:24 2023 max relations containing the same ideal: 113
  69. Sun May 21 23:49:48 2023 removing 9405476 relations and 7405476 ideals in 2000000 cliques
  70. Sun May 21 23:49:50 2023 commencing in-memory singleton removal
  71. Sun May 21 23:49:52 2023 begin with 104749714 relations and 106364094 unique ideals
  72. Sun May 21 23:50:02 2023 reduce to 104073736 relations and 98272115 ideals in 10 passes
  73. Sun May 21 23:50:02 2023 max relations containing the same ideal: 106
  74. Sun May 21 23:50:24 2023 removing 9314084 relations and 7314084 ideals in 2000000 cliques
  75. Sun May 21 23:50:26 2023 commencing in-memory singleton removal
  76. Sun May 21 23:50:28 2023 begin with 94759652 relations and 98272115 unique ideals
  77. Sun May 21 23:50:36 2023 reduce to 94036442 relations and 90222374 ideals in 9 passes
  78. Sun May 21 23:50:36 2023 max relations containing the same ideal: 101
  79. Sun May 21 23:50:56 2023 removing 9277810 relations and 7277810 ideals in 2000000 cliques
  80. Sun May 21 23:50:58 2023 commencing in-memory singleton removal
  81. Sun May 21 23:51:00 2023 begin with 84758632 relations and 90222374 unique ideals
  82. Sun May 21 23:51:06 2023 reduce to 83966557 relations and 82137791 ideals in 8 passes
  83. Sun May 21 23:51:06 2023 max relations containing the same ideal: 92
  84. Sun May 21 23:51:24 2023 removing 1008678 relations and 877453 ideals in 131225 cliques
  85. Sun May 21 23:51:25 2023 commencing in-memory singleton removal
  86. Sun May 21 23:51:27 2023 begin with 82957879 relations and 82137791 unique ideals
  87. Sun May 21 23:51:32 2023 reduce to 82949529 relations and 81251973 ideals in 6 passes
  88. Sun May 21 23:51:32 2023 max relations containing the same ideal: 92
  89. Sun May 21 23:51:40 2023 relations with 0 large ideals: 111824
  90. Sun May 21 23:51:40 2023 relations with 1 large ideals: 24314
  91. Sun May 21 23:51:40 2023 relations with 2 large ideals: 275797
  92. Sun May 21 23:51:40 2023 relations with 3 large ideals: 1851595
  93. Sun May 21 23:51:40 2023 relations with 4 large ideals: 6852241
  94. Sun May 21 23:51:40 2023 relations with 5 large ideals: 15311706
  95. Sun May 21 23:51:40 2023 relations with 6 large ideals: 21519154
  96. Sun May 21 23:51:40 2023 relations with 7+ large ideals: 37002898
  97. Sun May 21 23:51:40 2023 commencing 2-way merge
  98. Sun May 21 23:52:07 2023 reduce to 51401626 relation sets and 49704070 unique ideals
  99. Sun May 21 23:52:07 2023 commencing full merge
  100. Mon May 22 00:04:01 2023 memory use: 6698.0 MB
  101. Mon May 22 00:04:05 2023 found 24428785 cycles, need 24272270
  102. Mon May 22 00:04:09 2023 weight of 24272270 cycles is about 2427444413 (100.01/cycle)
  103. Mon May 22 00:04:09 2023 distribution of cycle lengths:
  104. Mon May 22 00:04:09 2023 1 relations: 2476711
  105. Mon May 22 00:04:09 2023 2 relations: 2254344
  106. Mon May 22 00:04:09 2023 3 relations: 2124341
  107. Mon May 22 00:04:09 2023 4 relations: 1973025
  108. Mon May 22 00:04:09 2023 5 relations: 1857872
  109. Mon May 22 00:04:09 2023 6 relations: 1723235
  110. Mon May 22 00:04:09 2023 7 relations: 1607000
  111. Mon May 22 00:04:09 2023 8 relations: 1473999
  112. Mon May 22 00:04:09 2023 9 relations: 1337649
  113. Mon May 22 00:04:09 2023 10+ relations: 7444094
  114. Mon May 22 00:04:09 2023 heaviest cycle: 28 relations
  115. Mon May 22 00:04:13 2023 commencing cycle optimization
  116. Mon May 22 00:04:42 2023 start with 180020809 relations
  117. Mon May 22 00:08:11 2023 pruned 5780758 relations
  118. Mon May 22 00:08:13 2023 memory use: 5240.2 MB
  119. Mon May 22 00:08:13 2023 distribution of cycle lengths:
  120. Mon May 22 00:08:13 2023 1 relations: 2476711
  121. Mon May 22 00:08:13 2023 2 relations: 2296141
  122. Mon May 22 00:08:13 2023 3 relations: 2194599
  123. Mon May 22 00:08:13 2023 4 relations: 2031688
  124. Mon May 22 00:08:13 2023 5 relations: 1922139
  125. Mon May 22 00:08:13 2023 6 relations: 1774507
  126. Mon May 22 00:08:13 2023 7 relations: 1656559
  127. Mon May 22 00:08:13 2023 8 relations: 1508218
  128. Mon May 22 00:08:13 2023 9 relations: 1368303
  129. Mon May 22 00:08:13 2023 10+ relations: 7043405
  130. Mon May 22 00:08:13 2023 heaviest cycle: 28 relations
  131. Mon May 22 00:08:38 2023 RelProcTime: 2324
  132. Mon May 22 00:08:38 2023
  133. Mon May 22 00:08:38 2023 commencing linear algebra
  134. Mon May 22 00:08:38 2023 using VBITS=256
  135. Mon May 22 00:08:38 2023 stopping after matrix build
  136. Mon May 22 00:10:34 2023
  137. Mon May 22 00:10:34 2023
  138. Mon May 22 00:44:45 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  139. Mon May 22 00:44:45 2023 random seeds: bc2c138a f9bcb935
  140. Mon May 22 00:44:45 2023 MPI process 0 of 2
  141. Mon May 22 00:44:45 2023 factoring 277925522388721008596415044622763541162993397376377955299712147330947404051814521982903816589781631839732837948825322493823830679590988503676947605899678905539480845684289846713205736669619882676702740322691049762713 (216 digits)
  142. Mon May 22 00:44:46 2023 no P-1/P+1/ECM available, skipping
  143. Mon May 22 00:44:46 2023 commencing number field sieve (216-digit input)
  144. Mon May 22 00:44:46 2023 R0: 1427247692705959881058285969449495136382746624
  145. Mon May 22 00:44:46 2023 R1: -608266787713357709119683992618861307
  146. Mon May 22 00:44:46 2023 A0: 4
  147. Mon May 22 00:44:46 2023 A1: 0
  148. Mon May 22 00:44:46 2023 A2: 0
  149. Mon May 22 00:44:46 2023 A3: 0
  150. Mon May 22 00:44:46 2023 A4: 0
  151. Mon May 22 00:44:46 2023 A5: 0
  152. Mon May 22 00:44:46 2023 A6: 3
  153. Mon May 22 00:44:46 2023 skew 1.05, size 2.454e-13, alpha 1.261, combined = 3.995e-14 rroots = 0
  154. Mon May 22 00:44:46 2023
  155. Mon May 22 00:44:46 2023 commencing linear algebra
  156. Mon May 22 00:44:46 2023 using VBITS=256
  157. Mon May 22 00:44:46 2023 skipping matrix build
  158. Mon May 22 00:44:46 2023 initialized process (0,0) of 1 x 2 grid
  159. Mon May 22 00:44:50 2023 matrix starts at (0, 0)
  160. Mon May 22 00:44:51 2023 matrix is 24267705 x 12133868 (4876.6 MB) with weight 1400208147 (115.40/col)
  161. Mon May 22 00:44:51 2023 sparse part has weight 1157023608 (95.35/col)
  162. Mon May 22 00:44:51 2023 saving the first 240 matrix rows for later
  163. Mon May 22 00:44:55 2023 matrix includes 256 packed rows
  164. Mon May 22 00:44:59 2023 matrix is 24267465 x 12133868 (4594.6 MB) with weight 1061146782 (87.45/col)
  165. Mon May 22 00:44:59 2023 sparse part has weight 1010312777 (83.26/col)
  166. Mon May 22 00:44:59 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  167. Mon May 22 00:44:59 2023 selected card has CUDA arch 8.6
  168. Mon May 22 00:46:00 2023 commencing Lanczos iteration
  169. Mon May 22 00:46:01 2023 memory use: 11920.2 MB
  170. Mon May 22 00:46:38 2023 linear algebra at 0.1%, ETA 7h54m
  171. Mon May 22 00:47:34 2023 checking every 50000 dimensions, checkpointing every 3050000 dimensions
  172. Mon May 22 08:49:00 2023 lanczos halted after 95080 iterations (dim = 24267459)
  173. Mon May 22 08:51:16 2023 recovered 37 nontrivial dependencies
  174. Mon May 22 08:51:16 2023 BLanczosTime: 29190
  175. Mon May 22 08:51:16 2023 elapsed time 08:06:31
  176. Mon May 22 08:51:16 2023
  177. Mon May 22 08:51:16 2023
  178. Mon May 22 08:51:16 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  179. Mon May 22 08:51:16 2023 random seeds: 1d61c95f 2a74c700
  180. Mon May 22 08:51:16 2023 Using 8 OpenMP threads
  181. Mon May 22 08:51:16 2023 factoring 277925522388721008596415044622763541162993397376377955299712147330947404051814521982903816589781631839732837948825322493823830679590988503676947605899678905539480845684289846713205736669619882676702740322691049762713 (216 digits)
  182. Mon May 22 08:51:17 2023 no P-1/P+1/ECM available, skipping
  183. Mon May 22 08:51:17 2023 commencing number field sieve (216-digit input)
  184. Mon May 22 08:51:17 2023 R0: 1427247692705959881058285969449495136382746624
  185. Mon May 22 08:51:17 2023 R1: -608266787713357709119683992618861307
  186. Mon May 22 08:51:17 2023 A0: 4
  187. Mon May 22 08:51:17 2023 A1: 0
  188. Mon May 22 08:51:17 2023 A2: 0
  189. Mon May 22 08:51:17 2023 A3: 0
  190. Mon May 22 08:51:17 2023 A4: 0
  191. Mon May 22 08:51:17 2023 A5: 0
  192. Mon May 22 08:51:17 2023 A6: 3
  193. Mon May 22 08:51:17 2023 skew 1.05, size 2.454e-13, alpha 1.261, combined = 3.995e-14 rroots = 0
  194. Mon May 22 08:51:17 2023
  195. Mon May 22 08:51:17 2023 commencing square root phase
  196. Mon May 22 08:51:17 2023 reading relations for dependency 1
  197. Mon May 22 08:51:18 2023 read 12135506 cycles
  198. Mon May 22 08:51:33 2023 cycles contain 40908636 unique relations
  199. Mon May 22 08:52:04 2023 read 40908636 relations
  200. Mon May 22 08:53:54 2023 multiplying 40908636 relations
  201. Mon May 22 09:02:01 2023 multiply complete, coefficients have about 1141.41 million bits
  202. Mon May 22 09:02:03 2023 warning: no irreducible prime found, switching to small primes
  203. Mon May 22 09:02:03 2023 initial square root is modulo 53
  204. Mon May 22 09:08:37 2023 Newton iteration failed to converge
  205. Mon May 22 09:08:37 2023 algebraic square root failed
  206. Mon May 22 09:08:37 2023 reading relations for dependency 2
  207. Mon May 22 09:08:38 2023 read 12130386 cycles
  208. Mon May 22 09:08:54 2023 cycles contain 40884936 unique relations
  209. Mon May 22 09:09:20 2023 read 40884936 relations
  210. Mon May 22 09:11:06 2023 multiplying 40884936 relations
  211. Mon May 22 09:19:08 2023 multiply complete, coefficients have about 1140.76 million bits
  212. Mon May 22 09:19:09 2023 warning: no irreducible prime found, switching to small primes
  213. Mon May 22 09:19:09 2023 initial square root is modulo 53
  214. Mon May 22 09:25:42 2023 Newton iteration failed to converge
  215. Mon May 22 09:25:42 2023 algebraic square root failed
  216. Mon May 22 09:25:42 2023 reading relations for dependency 3
  217. Mon May 22 09:25:43 2023 read 12132025 cycles
  218. Mon May 22 09:25:57 2023 cycles contain 40884804 unique relations
  219. Mon May 22 09:26:23 2023 read 40884804 relations
  220. Mon May 22 09:28:14 2023 multiplying 40884804 relations
  221. Mon May 22 09:36:18 2023 multiply complete, coefficients have about 1140.75 million bits
  222. Mon May 22 09:36:19 2023 warning: no irreducible prime found, switching to small primes
  223. Mon May 22 09:36:20 2023 initial square root is modulo 53
  224. Mon May 22 09:42:50 2023 Newton iteration failed to converge
  225. Mon May 22 09:42:50 2023 algebraic square root failed
  226. Mon May 22 09:42:50 2023 reading relations for dependency 4
  227. Mon May 22 09:42:51 2023 read 12136696 cycles
  228. Mon May 22 09:43:05 2023 cycles contain 40900078 unique relations
  229. Mon May 22 09:43:31 2023 read 40900078 relations
  230. Mon May 22 09:45:13 2023 multiplying 40900078 relations
  231. Mon May 22 09:53:17 2023 multiply complete, coefficients have about 1141.18 million bits
  232. Mon May 22 09:53:19 2023 warning: no irreducible prime found, switching to small primes
  233. Mon May 22 09:53:19 2023 initial square root is modulo 53
  234. Mon May 22 09:59:44 2023 Newton iteration failed to converge
  235. Mon May 22 09:59:44 2023 algebraic square root failed
  236. Mon May 22 09:59:44 2023 reading relations for dependency 5
  237. Mon May 22 09:59:45 2023 read 12135469 cycles
  238. Mon May 22 10:00:00 2023 cycles contain 40903232 unique relations
  239. Mon May 22 10:00:25 2023 read 40903232 relations
  240. Mon May 22 10:02:07 2023 multiplying 40903232 relations
  241. Mon May 22 10:10:10 2023 multiply complete, coefficients have about 1141.27 million bits
  242. Mon May 22 10:10:11 2023 warning: no irreducible prime found, switching to small primes
  243. Mon May 22 10:10:11 2023 initial square root is modulo 53
  244. Mon May 22 10:16:36 2023 Newton iteration failed to converge
  245. Mon May 22 10:16:36 2023 algebraic square root failed
  246. Mon May 22 10:16:36 2023 reading relations for dependency 6
  247. Mon May 22 10:16:37 2023 read 12133551 cycles
  248. Mon May 22 10:16:52 2023 cycles contain 40887514 unique relations
  249. Mon May 22 10:17:17 2023 read 40887514 relations
  250. Mon May 22 10:19:01 2023 multiplying 40887514 relations
  251. Mon May 22 10:27:02 2023 multiply complete, coefficients have about 1140.84 million bits
  252. Mon May 22 10:27:04 2023 warning: no irreducible prime found, switching to small primes
  253. Mon May 22 10:27:04 2023 initial square root is modulo 53
  254. Mon May 22 10:33:28 2023 Newton iteration failed to converge
  255. Mon May 22 10:33:28 2023 algebraic square root failed
  256. Mon May 22 10:33:28 2023 reading relations for dependency 7
  257. Mon May 22 10:33:29 2023 read 12137098 cycles
  258. Mon May 22 10:33:43 2023 cycles contain 40904192 unique relations
  259. Mon May 22 10:34:09 2023 read 40904192 relations
  260. Mon May 22 10:35:51 2023 multiplying 40904192 relations
  261. Mon May 22 10:43:52 2023 multiply complete, coefficients have about 1141.30 million bits
  262. Mon May 22 10:43:54 2023 warning: no irreducible prime found, switching to small primes
  263. Mon May 22 10:43:54 2023 initial square root is modulo 53
  264. Mon May 22 10:50:22 2023 Newton iteration failed to converge
  265. Mon May 22 10:50:22 2023 algebraic square root failed
  266. Mon May 22 10:50:22 2023 reading relations for dependency 8
  267. Mon May 22 10:50:23 2023 read 12128356 cycles
  268. Mon May 22 10:50:37 2023 cycles contain 40878816 unique relations
  269. Mon May 22 10:51:03 2023 read 40878816 relations
  270. Mon May 22 10:52:44 2023 multiplying 40878816 relations
  271. Mon May 22 11:00:46 2023 multiply complete, coefficients have about 1140.59 million bits
  272. Mon May 22 11:00:48 2023 warning: no irreducible prime found, switching to small primes
  273. Mon May 22 11:00:48 2023 initial square root is modulo 53
  274. Mon May 22 11:07:12 2023 sqrtTime: 8155
  275. Mon May 22 11:07:12 2023 p67 factor: 1527544089331734903940993461872396687659793894369816225935712229751
  276. Mon May 22 11:07:12 2023 p150 factor: 181942717287006083105236480726591564888599194346520690195727399489431181290171075853453126685897676866945700706136130366833645846230368456277144388463
  277. Mon May 22 11:07:12 2023 elapsed time 02:15:56
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