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  1. Wed Mar 26 12:34:00 2025 Msieve v. 1.54 (SVN 03e8738)
  2. Wed Mar 26 12:34:00 2025 random seeds: 0d0060fd 1fbe6b51
  3. Wed Mar 26 12:34:00 2025 Using 16 OpenMP threads
  4. Wed Mar 26 12:34:00 2025 factoring 2498292925001838791837276345974663091688477544818404552406268248334205040550018990758013182002133244788467515062901406929223479813165676543625320216858065919124717727297302040565918230510133783590452804709536542067914260280091845759900339240441 (244 digits)
  5. Wed Mar 26 12:34:01 2025 no P-1/P+1/ECM available, skipping
  6. Wed Mar 26 12:34:01 2025 commencing number field sieve (244-digit input)
  7. Wed Mar 26 12:34:01 2025 R0: -1
  8. Wed Mar 26 12:34:01 2025 R1: 4781108507984662751636423398799771585177677707361
  9. Wed Mar 26 12:34:01 2025 A0: -1216021
  10. Wed Mar 26 12:34:01 2025 A1: 0
  11. Wed Mar 26 12:34:01 2025 A2: 0
  12. Wed Mar 26 12:34:01 2025 A3: 0
  13. Wed Mar 26 12:34:01 2025 A4: 0
  14. Wed Mar 26 12:34:01 2025 A5: 1
  15. Wed Mar 26 12:34:01 2025 skew 1.00, size 1.226e-17, alpha 0.691, combined = 4.886e-14 rroots = 1
  16. Wed Mar 26 12:34:01 2025
  17. Wed Mar 26 12:34:01 2025 commencing relation filtering
  18. Wed Mar 26 12:34:01 2025 setting target matrix density to 110.0
  19. Wed Mar 26 12:34:01 2025 estimated available RAM is 128734.6 MB
  20. Wed Mar 26 12:34:01 2025 commencing duplicate removal, pass 1
  21. Wed Mar 26 12:36:17 2025 skipped 36 relations with b > 2^32
  22. Wed Mar 26 12:36:17 2025 skipped 1 malformed relations
  23. Wed Mar 26 12:36:17 2025 found 11608807 hash collisions in 231333852 relations
  24. Wed Mar 26 12:36:31 2025 added 731018 free relations
  25. Wed Mar 26 12:36:31 2025 commencing duplicate removal, pass 2
  26. Wed Mar 26 12:37:16 2025 found 0 duplicates and 232064870 unique relations
  27. Wed Mar 26 12:37:16 2025 memory use: 788.8 MB
  28. Wed Mar 26 12:37:17 2025 reading ideals above 720000
  29. Wed Mar 26 12:37:17 2025 commencing singleton removal, initial pass
  30. Wed Mar 26 12:44:27 2025 memory use: 5512.0 MB
  31. Wed Mar 26 12:44:27 2025 reading all ideals from disk
  32. Wed Mar 26 12:44:30 2025 memory use: 11333.7 MB
  33. Wed Mar 26 12:44:43 2025 keeping 206844403 ideals with weight <= 200, target excess is 1191224
  34. Wed Mar 26 12:45:00 2025 commencing in-memory singleton removal
  35. Wed Mar 26 12:45:05 2025 begin with 232064870 relations and 206844403 unique ideals
  36. Wed Mar 26 12:45:39 2025 reduce to 192111394 relations and 165520085 ideals in 15 passes
  37. Wed Mar 26 12:45:39 2025 max relations containing the same ideal: 187
  38. Wed Mar 26 12:46:26 2025 removing 14502738 relations and 12502738 ideals in 2000000 cliques
  39. Wed Mar 26 12:46:29 2025 commencing in-memory singleton removal
  40. Wed Mar 26 12:46:33 2025 begin with 177608656 relations and 165520085 unique ideals
  41. Wed Mar 26 12:46:53 2025 reduce to 176734355 relations and 152130665 ideals in 11 passes
  42. Wed Mar 26 12:46:53 2025 max relations containing the same ideal: 176
  43. Wed Mar 26 12:47:26 2025 removing 10914626 relations and 8914626 ideals in 2000000 cliques
  44. Wed Mar 26 12:47:30 2025 commencing in-memory singleton removal
  45. Wed Mar 26 12:47:33 2025 begin with 165819729 relations and 152130665 unique ideals
  46. Wed Mar 26 12:47:46 2025 reduce to 165256815 relations and 142646343 ideals in 8 passes
  47. Wed Mar 26 12:47:46 2025 max relations containing the same ideal: 170
  48. Wed Mar 26 12:48:17 2025 removing 9808594 relations and 7808594 ideals in 2000000 cliques
  49. Wed Mar 26 12:48:20 2025 commencing in-memory singleton removal
  50. Wed Mar 26 12:48:23 2025 begin with 155448221 relations and 142646343 unique ideals
  51. Wed Mar 26 12:48:37 2025 reduce to 154961039 relations and 134344598 ideals in 9 passes
  52. Wed Mar 26 12:48:37 2025 max relations containing the same ideal: 163
  53. Wed Mar 26 12:49:06 2025 removing 9224451 relations and 7224451 ideals in 2000000 cliques
  54. Wed Mar 26 12:49:09 2025 commencing in-memory singleton removal
  55. Wed Mar 26 12:49:11 2025 begin with 145736588 relations and 134344598 unique ideals
  56. Wed Mar 26 12:49:21 2025 reduce to 145273109 relations and 126651129 ideals in 7 passes
  57. Wed Mar 26 12:49:21 2025 max relations containing the same ideal: 157
  58. Wed Mar 26 12:49:49 2025 removing 8867441 relations and 6867441 ideals in 2000000 cliques
  59. Wed Mar 26 12:49:52 2025 commencing in-memory singleton removal
  60. Wed Mar 26 12:49:54 2025 begin with 136405668 relations and 126651129 unique ideals
  61. Wed Mar 26 12:50:05 2025 reduce to 135950349 relations and 119322758 ideals in 8 passes
  62. Wed Mar 26 12:50:05 2025 max relations containing the same ideal: 150
  63. Wed Mar 26 12:50:31 2025 removing 8632382 relations and 6632382 ideals in 2000000 cliques
  64. Wed Mar 26 12:50:34 2025 commencing in-memory singleton removal
  65. Wed Mar 26 12:50:36 2025 begin with 127317967 relations and 119322758 unique ideals
  66. Wed Mar 26 12:50:46 2025 reduce to 126860649 relations and 112226975 ideals in 8 passes
  67. Wed Mar 26 12:50:46 2025 max relations containing the same ideal: 144
  68. Wed Mar 26 12:51:10 2025 removing 8480520 relations and 6480520 ideals in 2000000 cliques
  69. Wed Mar 26 12:51:13 2025 commencing in-memory singleton removal
  70. Wed Mar 26 12:51:15 2025 begin with 118380129 relations and 112226975 unique ideals
  71. Wed Mar 26 12:51:24 2025 reduce to 117907095 relations and 105266826 ideals in 8 passes
  72. Wed Mar 26 12:51:24 2025 max relations containing the same ideal: 137
  73. Wed Mar 26 12:51:46 2025 removing 8387836 relations and 6387836 ideals in 2000000 cliques
  74. Wed Mar 26 12:51:49 2025 commencing in-memory singleton removal
  75. Wed Mar 26 12:51:51 2025 begin with 109519259 relations and 105266826 unique ideals
  76. Wed Mar 26 12:51:59 2025 reduce to 109021405 relations and 98373773 ideals in 8 passes
  77. Wed Mar 26 12:51:59 2025 max relations containing the same ideal: 132
  78. Wed Mar 26 12:52:20 2025 removing 8340585 relations and 6340585 ideals in 2000000 cliques
  79. Wed Mar 26 12:52:22 2025 commencing in-memory singleton removal
  80. Wed Mar 26 12:52:24 2025 begin with 100680820 relations and 98373773 unique ideals
  81. Wed Mar 26 12:52:32 2025 reduce to 100146889 relations and 91490512 ideals in 8 passes
  82. Wed Mar 26 12:52:32 2025 max relations containing the same ideal: 123
  83. Wed Mar 26 12:52:51 2025 removing 8345431 relations and 6345431 ideals in 2000000 cliques
  84. Wed Mar 26 12:52:53 2025 commencing in-memory singleton removal
  85. Wed Mar 26 12:52:55 2025 begin with 91801458 relations and 91490512 unique ideals
  86. Wed Mar 26 12:53:02 2025 reduce to 91217421 relations and 84550780 ideals in 8 passes
  87. Wed Mar 26 12:53:02 2025 max relations containing the same ideal: 118
  88. Wed Mar 26 12:53:20 2025 removing 8391389 relations and 6391389 ideals in 2000000 cliques
  89. Wed Mar 26 12:53:22 2025 commencing in-memory singleton removal
  90. Wed Mar 26 12:53:23 2025 begin with 82826032 relations and 84550780 unique ideals
  91. Wed Mar 26 12:53:29 2025 reduce to 82170040 relations and 77490986 ideals in 8 passes
  92. Wed Mar 26 12:53:29 2025 max relations containing the same ideal: 108
  93. Wed Mar 26 12:53:46 2025 removing 8496558 relations and 6496558 ideals in 2000000 cliques
  94. Wed Mar 26 12:53:48 2025 commencing in-memory singleton removal
  95. Wed Mar 26 12:53:49 2025 begin with 73673482 relations and 77490986 unique ideals
  96. Wed Mar 26 12:53:55 2025 reduce to 72914757 relations and 70219975 ideals in 9 passes
  97. Wed Mar 26 12:53:55 2025 max relations containing the same ideal: 100
  98. Wed Mar 26 12:54:10 2025 removing 6227089 relations and 4914127 ideals in 1312962 cliques
  99. Wed Mar 26 12:54:12 2025 commencing in-memory singleton removal
  100. Wed Mar 26 12:54:13 2025 begin with 66687668 relations and 70219975 unique ideals
  101. Wed Mar 26 12:54:18 2025 reduce to 66241579 relations and 64852743 ideals in 9 passes
  102. Wed Mar 26 12:54:18 2025 max relations containing the same ideal: 91
  103. Wed Mar 26 12:54:37 2025 relations with 0 large ideals: 24805
  104. Wed Mar 26 12:54:37 2025 relations with 1 large ideals: 14884
  105. Wed Mar 26 12:54:37 2025 relations with 2 large ideals: 232413
  106. Wed Mar 26 12:54:37 2025 relations with 3 large ideals: 1593792
  107. Wed Mar 26 12:54:37 2025 relations with 4 large ideals: 5920103
  108. Wed Mar 26 12:54:37 2025 relations with 5 large ideals: 13130185
  109. Wed Mar 26 12:54:37 2025 relations with 6 large ideals: 18548727
  110. Wed Mar 26 12:54:37 2025 relations with 7+ large ideals: 26776670
  111. Wed Mar 26 12:54:37 2025 commencing 2-way merge
  112. Wed Mar 26 12:54:58 2025 reduce to 40392844 relation sets and 39004008 unique ideals
  113. Wed Mar 26 12:54:58 2025 commencing full merge
  114. Wed Mar 26 13:02:19 2025 memory use: 4628.0 MB
  115. Wed Mar 26 13:02:22 2025 found 18222854 cycles, need 18106208
  116. Wed Mar 26 13:02:25 2025 weight of 18106208 cycles is about 1991917383 (110.01/cycle)
  117. Wed Mar 26 13:02:25 2025 distribution of cycle lengths:
  118. Wed Mar 26 13:02:25 2025 1 relations: 1570895
  119. Wed Mar 26 13:02:25 2025 2 relations: 1387892
  120. Wed Mar 26 13:02:25 2025 3 relations: 1409885
  121. Wed Mar 26 13:02:25 2025 4 relations: 1388056
  122. Wed Mar 26 13:02:25 2025 5 relations: 1376587
  123. Wed Mar 26 13:02:25 2025 6 relations: 1313091
  124. Wed Mar 26 13:02:25 2025 7 relations: 1269876
  125. Wed Mar 26 13:02:25 2025 8 relations: 1190568
  126. Wed Mar 26 13:02:25 2025 9 relations: 1095547
  127. Wed Mar 26 13:02:25 2025 10+ relations: 6103811
  128. Wed Mar 26 13:02:25 2025 heaviest cycle: 28 relations
  129. Wed Mar 26 13:02:28 2025 commencing cycle optimization
  130. Wed Mar 26 13:02:49 2025 start with 142391321 relations
  131. Wed Mar 26 13:05:19 2025 pruned 4946559 relations
  132. Wed Mar 26 13:05:19 2025 memory use: 4154.0 MB
  133. Wed Mar 26 13:05:19 2025 distribution of cycle lengths:
  134. Wed Mar 26 13:05:19 2025 1 relations: 1570895
  135. Wed Mar 26 13:05:19 2025 2 relations: 1421800
  136. Wed Mar 26 13:05:19 2025 3 relations: 1463152
  137. Wed Mar 26 13:05:19 2025 4 relations: 1435028
  138. Wed Mar 26 13:05:19 2025 5 relations: 1429236
  139. Wed Mar 26 13:05:19 2025 6 relations: 1359004
  140. Wed Mar 26 13:05:19 2025 7 relations: 1316081
  141. Wed Mar 26 13:05:19 2025 8 relations: 1225191
  142. Wed Mar 26 13:05:19 2025 9 relations: 1124165
  143. Wed Mar 26 13:05:19 2025 10+ relations: 5761656
  144. Wed Mar 26 13:05:19 2025 heaviest cycle: 28 relations
  145. Wed Mar 26 13:05:39 2025 RelProcTime: 1898
  146. Wed Mar 26 13:05:39 2025 elapsed time 00:31:39
  147. Wed Mar 26 13:21:20 2025
  148. Wed Mar 26 13:21:20 2025
  149. Wed Mar 26 13:21:20 2025 Msieve v. 1.54 (SVN 03e8738)
  150. Wed Mar 26 13:21:20 2025 random seeds: 2d2a1d72 b997ee69
  151. Wed Mar 26 13:21:20 2025 Using 16 OpenMP threads
  152. Wed Mar 26 13:21:20 2025 factoring 2498292925001838791837276345974663091688477544818404552406268248334205040550018990758013182002133244788467515062901406929223479813165676543625320216858065919124717727297302040565918230510133783590452804709536542067914260280091845759900339240441 (244 digits)
  153. Wed Mar 26 13:21:21 2025 no P-1/P+1/ECM available, skipping
  154. Wed Mar 26 13:21:21 2025 commencing number field sieve (244-digit input)
  155. Wed Mar 26 13:21:21 2025 R0: -1
  156. Wed Mar 26 13:21:21 2025 R1: 4781108507984662751636423398799771585177677707361
  157. Wed Mar 26 13:21:21 2025 A0: -1216021
  158. Wed Mar 26 13:21:21 2025 A1: 0
  159. Wed Mar 26 13:21:21 2025 A2: 0
  160. Wed Mar 26 13:21:21 2025 A3: 0
  161. Wed Mar 26 13:21:21 2025 A4: 0
  162. Wed Mar 26 13:21:21 2025 A5: 1
  163. Wed Mar 26 13:21:21 2025 skew 1.00, size 1.226e-17, alpha 0.691, combined = 4.886e-14 rroots = 1
  164. Wed Mar 26 13:21:21 2025
  165. Wed Mar 26 13:21:21 2025 commencing linear algebra
  166. Wed Mar 26 13:21:21 2025 using VBITS=256
  167. Wed Mar 26 13:21:22 2025 read 18106208 cycles
  168. Wed Mar 26 13:21:44 2025 cycles contain 65179026 unique relations
  169. Wed Mar 26 13:22:15 2025 read 65179026 relations
  170. Wed Mar 26 13:22:25 2025 using 20 quadratic characters above 4294917295
  171. Wed Mar 26 13:22:35 2025 building initial matrix
  172. Wed Mar 26 13:29:21 2025 memory use: 8335.6 MB
  173. Wed Mar 26 13:29:27 2025 read 18106208 cycles
  174. Wed Mar 26 13:29:29 2025 matrix is 18106027 x 18106208 (7939.8 MB) with weight 2296668100 (126.84/col)
  175. Wed Mar 26 13:29:29 2025 sparse part has weight 1882197890 (103.95/col)
  176. Wed Mar 26 13:31:49 2025 filtering completed in 2 passes
  177. Wed Mar 26 13:31:51 2025 matrix is 18103237 x 18103413 (7939.5 MB) with weight 2296567173 (126.86/col)
  178. Wed Mar 26 13:31:51 2025 sparse part has weight 1882162054 (103.97/col)
  179. Wed Mar 26 13:32:22 2025 matrix starts at (0, 0)
  180. Wed Mar 26 13:32:24 2025 matrix is 18103237 x 18103413 (7939.5 MB) with weight 2296567173 (126.86/col)
  181. Wed Mar 26 13:32:24 2025 sparse part has weight 1882162054 (103.97/col)
  182. Wed Mar 26 13:32:24 2025 saving the first 240 matrix rows for later
  183. Wed Mar 26 13:32:26 2025 matrix includes 256 packed rows
  184. Wed Mar 26 13:32:30 2025 matrix is 18102997 x 18103413 (7300.1 MB) with weight 1714337636 (94.70/col)
  185. Wed Mar 26 13:32:30 2025 sparse part has weight 1624016437 (89.71/col)
  186. Wed Mar 26 13:32:31 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  187. Wed Mar 26 13:32:31 2025 selected card has CUDA arch 8.6
  188. Wed Mar 26 13:33:42 2025 commencing Lanczos iteration
  189. Wed Mar 26 13:33:43 2025 memory use: 17017.2 MB
  190. Wed Mar 26 13:34:38 2025 linear algebra at 0.2%, ETA 8h51m
  191. Wed Mar 26 13:36:00 2025 checking every 30000 dimensions, checkpointing every 2040000 dimensions
  192. Wed Mar 26 22:29:12 2025 lanczos halted after 70927 iterations (dim = 18102996)
  193. Wed Mar 26 22:30:00 2025 recovered 35 nontrivial dependencies
  194. Wed Mar 26 22:30:00 2025 BLanczosTime: 32919
  195. Wed Mar 26 22:30:00 2025 elapsed time 09:08:40
  196. Wed Mar 26 22:30:37 2025
  197. Wed Mar 26 22:30:37 2025
  198. Wed Mar 26 22:30:37 2025 Msieve v. 1.54 (SVN 03e8738)
  199. Wed Mar 26 22:30:37 2025 random seeds: 07df1916 29d3c1de
  200. Wed Mar 26 22:30:37 2025 Using 16 OpenMP threads
  201. Wed Mar 26 22:30:37 2025 factoring 2498292925001838791837276345974663091688477544818404552406268248334205040550018990758013182002133244788467515062901406929223479813165676543625320216858065919124717727297302040565918230510133783590452804709536542067914260280091845759900339240441 (244 digits)
  202. Wed Mar 26 22:30:38 2025 no P-1/P+1/ECM available, skipping
  203. Wed Mar 26 22:30:38 2025 commencing number field sieve (244-digit input)
  204. Wed Mar 26 22:30:38 2025 R0: -1
  205. Wed Mar 26 22:30:38 2025 R1: 4781108507984662751636423398799771585177677707361
  206. Wed Mar 26 22:30:38 2025 A0: -1216021
  207. Wed Mar 26 22:30:38 2025 A1: 0
  208. Wed Mar 26 22:30:38 2025 A2: 0
  209. Wed Mar 26 22:30:38 2025 A3: 0
  210. Wed Mar 26 22:30:38 2025 A4: 0
  211. Wed Mar 26 22:30:38 2025 A5: 1
  212. Wed Mar 26 22:30:38 2025 skew 1.00, size 1.226e-17, alpha 0.691, combined = 4.886e-14 rroots = 1
  213. Wed Mar 26 22:30:38 2025
  214. Wed Mar 26 22:30:38 2025 commencing square root phase
  215. Wed Mar 26 22:30:38 2025 reading relations for dependency 1
  216. Wed Mar 26 22:30:39 2025 read 9051791 cycles
  217. Wed Mar 26 22:30:49 2025 cycles contain 32588012 unique relations
  218. Wed Mar 26 22:31:04 2025 read 32588012 relations
  219. Wed Mar 26 22:32:23 2025 multiplying 32588012 relations
  220. Wed Mar 26 22:33:38 2025 multiply complete, coefficients have about 915.97 million bits
  221. Wed Mar 26 22:33:39 2025 initial square root is modulo 165033511
  222. Wed Mar 26 22:36:34 2025 GCD is N, no factor found
  223. Wed Mar 26 22:36:34 2025 reading relations for dependency 2
  224. Wed Mar 26 22:36:35 2025 read 9051201 cycles
  225. Wed Mar 26 22:36:45 2025 cycles contain 32591646 unique relations
  226. Wed Mar 26 22:37:00 2025 read 32591646 relations
  227. Wed Mar 26 22:38:21 2025 multiplying 32591646 relations
  228. Wed Mar 26 22:39:35 2025 multiply complete, coefficients have about 916.06 million bits
  229. Wed Mar 26 22:39:36 2025 initial square root is modulo 165344281
  230. Wed Mar 26 22:42:30 2025 found factor: 199319743371643386367233763826332441280076621143715245556218088139835947021
  231. Wed Mar 26 22:42:30 2025 reading relations for dependency 3
  232. Wed Mar 26 22:42:31 2025 read 9050292 cycles
  233. Wed Mar 26 22:42:41 2025 cycles contain 32583988 unique relations
  234. Wed Mar 26 22:42:55 2025 read 32583988 relations
  235. Wed Mar 26 22:44:14 2025 multiplying 32583988 relations
  236. Wed Mar 26 22:45:28 2025 multiply complete, coefficients have about 915.84 million bits
  237. Wed Mar 26 22:45:29 2025 initial square root is modulo 164607031
  238. Wed Mar 26 22:48:25 2025 GCD is N, no factor found
  239. Wed Mar 26 22:48:25 2025 reading relations for dependency 4
  240. Wed Mar 26 22:48:26 2025 read 9051031 cycles
  241. Wed Mar 26 22:48:36 2025 cycles contain 32582464 unique relations
  242. Wed Mar 26 22:48:51 2025 read 32582464 relations
  243. Wed Mar 26 22:50:10 2025 multiplying 32582464 relations
  244. Wed Mar 26 22:51:23 2025 multiply complete, coefficients have about 915.79 million bits
  245. Wed Mar 26 22:51:24 2025 initial square root is modulo 164431831
  246. Wed Mar 26 22:54:20 2025 found factor: 199319743371643386367233763826332441280076621143715245556218088139835947021
  247. Wed Mar 26 22:54:20 2025 reading relations for dependency 5
  248. Wed Mar 26 22:54:21 2025 read 9049762 cycles
  249. Wed Mar 26 22:54:32 2025 cycles contain 32582598 unique relations
  250. Wed Mar 26 22:54:46 2025 read 32582598 relations
  251. Wed Mar 26 22:56:06 2025 multiplying 32582598 relations
  252. Wed Mar 26 22:57:19 2025 multiply complete, coefficients have about 915.79 million bits
  253. Wed Mar 26 22:57:20 2025 initial square root is modulo 164444351
  254. Wed Mar 26 23:00:15 2025 sqrtTime: 1777
  255. Wed Mar 26 23:00:15 2025 p54 factor: 147687823667964859468235218498234974871151302032063557
  256. Wed Mar 26 23:00:15 2025 p75 factor: 199319743371643386367233763826332441280076621143715245556218088139835947021
  257. Wed Mar 26 23:00:15 2025 p116 factor: 84868855978108072030238261626840184193387510362075916096125956918433239365988869247040520020403888240454324445778553
  258. Wed Mar 26 23:00:15 2025 elapsed time 00:29:38
  259.  
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