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Jul 4th, 2025
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  1. Fri Jul 4 10:49:24 2025
  2. Fri Jul 4 10:49:24 2025
  3. Fri Jul 4 10:49:24 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 4 10:49:24 2025 random seeds: ab8a46ec 97dcec7b
  5. Fri Jul 4 10:49:24 2025 MPI process 0 of 1
  6. Fri Jul 4 10:49:24 2025 Using 32 OpenMP threads
  7. Fri Jul 4 10:49:24 2025 factoring 255117398997605898728734262359299798065772742916864123607527757298705637963556470193892625122791174223870594870879296991037701517003849732027295485758206596443183 (162 digits)
  8. Fri Jul 4 10:49:24 2025 searching for 15-digit factors
  9. Fri Jul 4 10:49:25 2025 commencing number field sieve (162-digit input)
  10. Fri Jul 4 10:49:25 2025 R0: -15796613804158046078957291281758
  11. Fri Jul 4 10:49:25 2025 R1: 834918317301387982152139
  12. Fri Jul 4 10:49:25 2025 A0: 86280567645587541533050929624640598600
  13. Fri Jul 4 10:49:25 2025 A1: 24810189471311100299707510058825
  14. Fri Jul 4 10:49:25 2025 A2: -68800290649682239413766460
  15. Fri Jul 4 10:49:25 2025 A3: -2835186852166895621
  16. Fri Jul 4 10:49:25 2025 A4: 2809802049012
  17. Fri Jul 4 10:49:25 2025 A5: 388080
  18. Fri Jul 4 10:49:25 2025 skew 3603916.90, size 1.194e-15, alpha -6.930, combined = 1.296e-12 rroots = 3
  19. Fri Jul 4 10:49:25 2025
  20. Fri Jul 4 10:49:25 2025 commencing relation filtering
  21. Fri Jul 4 10:49:25 2025 setting target matrix density to 120.0
  22. Fri Jul 4 10:49:25 2025 estimated available RAM is 257736.5 MB
  23. Fri Jul 4 10:49:25 2025 commencing duplicate removal, pass 1
  24. Fri Jul 4 10:50:08 2025 error -1 reading relation 19689494
  25. Fri Jul 4 10:51:05 2025 error -1 reading relation 46719542
  26. Fri Jul 4 10:52:00 2025 error -1 reading relation 72434233
  27. Fri Jul 4 10:52:41 2025 error -1 reading relation 92142566
  28. Fri Jul 4 10:53:20 2025 error -1 reading relation 110446078
  29. Fri Jul 4 10:53:34 2025 error -1 reading relation 116060053
  30. Fri Jul 4 10:53:46 2025 error -1 reading relation 121710732
  31. Fri Jul 4 10:53:50 2025 error -1 reading relation 123970943
  32. Fri Jul 4 10:53:54 2025 error -1 reading relation 125628042
  33. Fri Jul 4 10:53:55 2025 error -1 reading relation 126127096
  34. Fri Jul 4 10:54:01 2025 error -1 reading relation 129110850
  35. Fri Jul 4 10:54:14 2025 error -1 reading relation 135158806
  36. Fri Jul 4 10:54:27 2025 error -1 reading relation 140740484
  37. Fri Jul 4 10:54:48 2025 error -1 reading relation 150928344
  38. Fri Jul 4 10:55:12 2025 error -1 reading relation 162277628
  39. Fri Jul 4 10:55:15 2025 error -1 reading relation 163857957
  40. Fri Jul 4 10:55:16 2025 error -1 reading relation 164351459
  41. Fri Jul 4 10:55:30 2025 skipped 1 relations with composite factors
  42. Fri Jul 4 10:55:30 2025 skipped 164 malformed relations
  43. Fri Jul 4 10:55:30 2025 found 28645285 hash collisions in 170902706 relations
  44. Fri Jul 4 10:55:53 2025 commencing duplicate removal, pass 2
  45. Fri Jul 4 10:59:21 2025 found 28132807 duplicates and 142769899 unique relations
  46. Fri Jul 4 10:59:21 2025 memory use: 852.8 MB
  47. Fri Jul 4 10:59:21 2025 reading ideals above 720000
  48. Fri Jul 4 10:59:21 2025 commencing singleton removal, initial pass
  49. Fri Jul 4 11:08:05 2025 memory use: 3012.0 MB
  50. Fri Jul 4 11:08:05 2025 reading all ideals from disk
  51. Fri Jul 4 11:08:08 2025 memory use: 6444.9 MB
  52. Fri Jul 4 11:08:23 2025 keeping 131121025 ideals with weight <= 200, target excess is 693462
  53. Fri Jul 4 11:08:42 2025 commencing in-memory singleton removal
  54. Fri Jul 4 11:08:45 2025 begin with 142769899 relations and 131121025 unique ideals
  55. Fri Jul 4 11:08:56 2025 reduce to 91058014 relations and 74106460 ideals in 14 passes
  56. Fri Jul 4 11:08:56 2025 max relations containing the same ideal: 157
  57. Fri Jul 4 11:09:31 2025 removing 10207435 relations and 8207435 ideals in 2000000 cliques
  58. Fri Jul 4 11:09:34 2025 commencing in-memory singleton removal
  59. Fri Jul 4 11:09:36 2025 begin with 80850579 relations and 74106460 unique ideals
  60. Fri Jul 4 11:09:42 2025 reduce to 79895266 relations and 64916481 ideals in 10 passes
  61. Fri Jul 4 11:09:42 2025 max relations containing the same ideal: 142
  62. Fri Jul 4 11:10:13 2025 removing 7928161 relations and 5928161 ideals in 2000000 cliques
  63. Fri Jul 4 11:10:17 2025 commencing in-memory singleton removal
  64. Fri Jul 4 11:10:18 2025 begin with 71967105 relations and 64916481 unique ideals
  65. Fri Jul 4 11:10:23 2025 reduce to 71299078 relations and 58303187 ideals in 9 passes
  66. Fri Jul 4 11:10:23 2025 max relations containing the same ideal: 133
  67. Fri Jul 4 11:10:48 2025 removing 7289157 relations and 5289157 ideals in 2000000 cliques
  68. Fri Jul 4 11:10:51 2025 commencing in-memory singleton removal
  69. Fri Jul 4 11:10:53 2025 begin with 64009921 relations and 58303187 unique ideals
  70. Fri Jul 4 11:10:56 2025 reduce to 63390592 relations and 52378253 ideals in 8 passes
  71. Fri Jul 4 11:10:56 2025 max relations containing the same ideal: 124
  72. Fri Jul 4 11:11:20 2025 removing 6996868 relations and 4996868 ideals in 2000000 cliques
  73. Fri Jul 4 11:11:23 2025 commencing in-memory singleton removal
  74. Fri Jul 4 11:11:24 2025 begin with 56393724 relations and 52378253 unique ideals
  75. Fri Jul 4 11:11:27 2025 reduce to 55767853 relations and 46737368 ideals in 7 passes
  76. Fri Jul 4 11:11:27 2025 max relations containing the same ideal: 113
  77. Fri Jul 4 11:11:49 2025 removing 6843394 relations and 4843394 ideals in 2000000 cliques
  78. Fri Jul 4 11:11:51 2025 commencing in-memory singleton removal
  79. Fri Jul 4 11:11:52 2025 begin with 48924459 relations and 46737368 unique ideals
  80. Fri Jul 4 11:11:55 2025 reduce to 48255603 relations and 41203307 ideals in 8 passes
  81. Fri Jul 4 11:11:55 2025 max relations containing the same ideal: 105
  82. Fri Jul 4 11:12:15 2025 removing 6787667 relations and 4787667 ideals in 2000000 cliques
  83. Fri Jul 4 11:12:17 2025 commencing in-memory singleton removal
  84. Fri Jul 4 11:12:18 2025 begin with 41467936 relations and 41203307 unique ideals
  85. Fri Jul 4 11:12:20 2025 reduce to 40715428 relations and 35635488 ideals in 9 passes
  86. Fri Jul 4 11:12:20 2025 max relations containing the same ideal: 91
  87. Fri Jul 4 11:12:38 2025 removing 6798178 relations and 4798178 ideals in 2000000 cliques
  88. Fri Jul 4 11:12:40 2025 commencing in-memory singleton removal
  89. Fri Jul 4 11:12:41 2025 begin with 33917250 relations and 35635488 unique ideals
  90. Fri Jul 4 11:12:43 2025 reduce to 33015156 relations and 29895643 ideals in 9 passes
  91. Fri Jul 4 11:12:43 2025 max relations containing the same ideal: 84
  92. Fri Jul 4 11:12:58 2025 removing 6876392 relations and 4876392 ideals in 2000000 cliques
  93. Fri Jul 4 11:13:00 2025 commencing in-memory singleton removal
  94. Fri Jul 4 11:13:00 2025 begin with 26138764 relations and 29895643 unique ideals
  95. Fri Jul 4 11:13:02 2025 reduce to 24965815 relations and 23782575 ideals in 10 passes
  96. Fri Jul 4 11:13:02 2025 max relations containing the same ideal: 66
  97. Fri Jul 4 11:13:13 2025 removing 2000765 relations and 1621941 ideals in 378824 cliques
  98. Fri Jul 4 11:13:14 2025 commencing in-memory singleton removal
  99. Fri Jul 4 11:13:15 2025 begin with 22965050 relations and 23782575 unique ideals
  100. Fri Jul 4 11:13:16 2025 reduce to 22842622 relations and 22036445 ideals in 8 passes
  101. Fri Jul 4 11:13:16 2025 max relations containing the same ideal: 62
  102. Fri Jul 4 11:13:29 2025 relations with 0 large ideals: 2528
  103. Fri Jul 4 11:13:29 2025 relations with 1 large ideals: 17203
  104. Fri Jul 4 11:13:29 2025 relations with 2 large ideals: 222469
  105. Fri Jul 4 11:13:29 2025 relations with 3 large ideals: 1229818
  106. Fri Jul 4 11:13:29 2025 relations with 4 large ideals: 3571666
  107. Fri Jul 4 11:13:29 2025 relations with 5 large ideals: 6034602
  108. Fri Jul 4 11:13:29 2025 relations with 6 large ideals: 6195410
  109. Fri Jul 4 11:13:29 2025 relations with 7+ large ideals: 5568926
  110. Fri Jul 4 11:13:29 2025 commencing 2-way merge
  111. Fri Jul 4 11:13:43 2025 reduce to 13921259 relation sets and 13115082 unique ideals
  112. Fri Jul 4 11:13:43 2025 commencing full merge
  113. Fri Jul 4 11:18:15 2025 memory use: 1633.1 MB
  114. Fri Jul 4 11:18:16 2025 found 6092483 cycles, need 6051282
  115. Fri Jul 4 11:18:18 2025 weight of 6051282 cycles is about 726163591 (120.00/cycle)
  116. Fri Jul 4 11:18:18 2025 distribution of cycle lengths:
  117. Fri Jul 4 11:18:18 2025 1 relations: 396026
  118. Fri Jul 4 11:18:18 2025 2 relations: 408503
  119. Fri Jul 4 11:18:18 2025 3 relations: 420190
  120. Fri Jul 4 11:18:18 2025 4 relations: 411514
  121. Fri Jul 4 11:18:18 2025 5 relations: 410559
  122. Fri Jul 4 11:18:18 2025 6 relations: 401064
  123. Fri Jul 4 11:18:18 2025 7 relations: 396025
  124. Fri Jul 4 11:18:18 2025 8 relations: 378113
  125. Fri Jul 4 11:18:18 2025 9 relations: 360351
  126. Fri Jul 4 11:18:18 2025 10+ relations: 2468937
  127. Fri Jul 4 11:18:18 2025 heaviest cycle: 28 relations
  128. Fri Jul 4 11:18:20 2025 commencing cycle optimization
  129. Fri Jul 4 11:18:30 2025 start with 53951729 relations
  130. Fri Jul 4 11:20:19 2025 pruned 2275435 relations
  131. Fri Jul 4 11:20:19 2025 memory use: 1478.1 MB
  132. Fri Jul 4 11:20:19 2025 distribution of cycle lengths:
  133. Fri Jul 4 11:20:19 2025 1 relations: 396026
  134. Fri Jul 4 11:20:19 2025 2 relations: 418800
  135. Fri Jul 4 11:20:19 2025 3 relations: 436739
  136. Fri Jul 4 11:20:19 2025 4 relations: 427042
  137. Fri Jul 4 11:20:19 2025 5 relations: 428491
  138. Fri Jul 4 11:20:19 2025 6 relations: 419198
  139. Fri Jul 4 11:20:19 2025 7 relations: 414500
  140. Fri Jul 4 11:20:19 2025 8 relations: 394683
  141. Fri Jul 4 11:20:19 2025 9 relations: 376416
  142. Fri Jul 4 11:20:19 2025 10+ relations: 2339387
  143. Fri Jul 4 11:20:19 2025 heaviest cycle: 28 relations
  144. Fri Jul 4 11:20:28 2025 RelProcTime: 1863
  145. Fri Jul 4 11:20:28 2025
  146. Fri Jul 4 11:20:28 2025 commencing linear algebra
  147. Fri Jul 4 11:20:28 2025 using VBITS=256
  148. Fri Jul 4 11:20:28 2025 stopping after matrix build
  149. Fri Jul 4 11:20:28 2025 initialized process (0,0) of 1 x 1 grid
  150. Fri Jul 4 11:20:28 2025 read 6051282 cycles
  151. Fri Jul 4 11:20:38 2025 cycles contain 22297794 unique relations
  152. Fri Jul 4 11:23:13 2025 read 22297794 relations
  153. Fri Jul 4 11:23:16 2025 using 20 quadratic characters above 4294917295
  154. Fri Jul 4 11:23:19 2025 building initial matrix
  155. Fri Jul 4 11:27:18 2025 memory use: 2974.4 MB
  156. Fri Jul 4 11:27:22 2025 read 6051282 cycles
  157. Fri Jul 4 11:27:23 2025 matrix is 6051104 x 6051282 (2864.6 MB) with weight 863152130 (142.64/col)
  158. Fri Jul 4 11:27:23 2025 sparse part has weight 678323093 (112.10/col)
  159. Fri Jul 4 11:28:29 2025 filtering completed in 2 passes
  160. Fri Jul 4 11:28:31 2025 matrix is 6050692 x 6050870 (2864.6 MB) with weight 863130442 (142.65/col)
  161. Fri Jul 4 11:28:31 2025 sparse part has weight 678314755 (112.10/col)
  162. Fri Jul 4 11:29:02 2025 BLanczosTime: 514
  163. Fri Jul 4 11:29:02 2025 elapsed time 00:39:38
  164. Fri Jul 4 11:31:53 2025
  165. Fri Jul 4 11:31:53 2025
  166. Fri Jul 4 11:31:53 2025 Msieve v. 1.54 (SVN Unversioned directory)
  167. Fri Jul 4 11:31:53 2025 random seeds: 7d8cda01 ff9f8886
  168. Fri Jul 4 11:31:53 2025 MPI process 0 of 1
  169. Fri Jul 4 11:31:53 2025 Using 32 OpenMP threads
  170. Fri Jul 4 11:31:53 2025 factoring 255117398997605898728734262359299798065772742916864123607527757298705637963556470193892625122791174223870594870879296991037701517003849732027295485758206596443183 (162 digits)
  171. Fri Jul 4 11:31:53 2025 searching for 15-digit factors
  172. Fri Jul 4 11:31:53 2025 commencing number field sieve (162-digit input)
  173. Fri Jul 4 11:31:53 2025 R0: -15796613804158046078957291281758
  174. Fri Jul 4 11:31:53 2025 R1: 834918317301387982152139
  175. Fri Jul 4 11:31:53 2025 A0: 86280567645587541533050929624640598600
  176. Fri Jul 4 11:31:53 2025 A1: 24810189471311100299707510058825
  177. Fri Jul 4 11:31:53 2025 A2: -68800290649682239413766460
  178. Fri Jul 4 11:31:53 2025 A3: -2835186852166895621
  179. Fri Jul 4 11:31:53 2025 A4: 2809802049012
  180. Fri Jul 4 11:31:53 2025 A5: 388080
  181. Fri Jul 4 11:31:53 2025 skew 3603916.90, size 1.194e-15, alpha -6.930, combined = 1.296e-12 rroots = 3
  182. Fri Jul 4 11:31:53 2025
  183. Fri Jul 4 11:31:53 2025 commencing linear algebra
  184. Fri Jul 4 11:31:53 2025 using VBITS=256
  185. Fri Jul 4 11:31:53 2025 skipping matrix build
  186. Fri Jul 4 11:31:53 2025 initialized process (0,0) of 1 x 1 grid
  187. Fri Jul 4 11:31:56 2025 matrix starts at (0, 0)
  188. Fri Jul 4 11:31:57 2025 matrix is 6050692 x 6050870 (2864.6 MB) with weight 863130442 (142.65/col)
  189. Fri Jul 4 11:31:57 2025 sparse part has weight 678314755 (112.10/col)
  190. Fri Jul 4 11:31:57 2025 saving the first 240 matrix rows for later
  191. Fri Jul 4 11:31:59 2025 matrix includes 256 packed rows
  192. Fri Jul 4 11:32:01 2025 matrix is 6050452 x 6050870 (2569.8 MB) with weight 617651059 (102.08/col)
  193. Fri Jul 4 11:32:01 2025 sparse part has weight 576837392 (95.33/col)
  194. Fri Jul 4 11:32:01 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Fri Jul 4 11:32:13 2025 commencing Lanczos iteration (32 threads)
  196. Fri Jul 4 11:32:13 2025 memory use: 3706.1 MB
  197. Fri Jul 4 11:32:43 2025
  198. Fri Jul 4 11:32:43 2025
  199. Fri Jul 4 11:32:43 2025 Msieve v. 1.54 (SVN Unversioned directory)
  200. Fri Jul 4 11:32:43 2025 random seeds: 977d5356 30c096c7
  201. Fri Jul 4 11:32:43 2025 MPI process 0 of 1
  202. Fri Jul 4 11:32:43 2025 Using 64 OpenMP threads
  203. Fri Jul 4 11:32:43 2025 factoring 255117398997605898728734262359299798065772742916864123607527757298705637963556470193892625122791174223870594870879296991037701517003849732027295485758206596443183 (162 digits)
  204. Fri Jul 4 11:32:43 2025 searching for 15-digit factors
  205. Fri Jul 4 11:32:43 2025 commencing number field sieve (162-digit input)
  206. Fri Jul 4 11:32:43 2025 R0: -15796613804158046078957291281758
  207. Fri Jul 4 11:32:43 2025 R1: 834918317301387982152139
  208. Fri Jul 4 11:32:43 2025 A0: 86280567645587541533050929624640598600
  209. Fri Jul 4 11:32:43 2025 A1: 24810189471311100299707510058825
  210. Fri Jul 4 11:32:43 2025 A2: -68800290649682239413766460
  211. Fri Jul 4 11:32:43 2025 A3: -2835186852166895621
  212. Fri Jul 4 11:32:43 2025 A4: 2809802049012
  213. Fri Jul 4 11:32:43 2025 A5: 388080
  214. Fri Jul 4 11:32:43 2025 skew 3603916.90, size 1.194e-15, alpha -6.930, combined = 1.296e-12 rroots = 3
  215. Fri Jul 4 11:32:43 2025
  216. Fri Jul 4 11:32:43 2025 commencing linear algebra
  217. Fri Jul 4 11:32:43 2025 using VBITS=256
  218. Fri Jul 4 11:32:43 2025 skipping matrix build
  219. Fri Jul 4 11:32:43 2025 initialized process (0,0) of 1 x 1 grid
  220. Fri Jul 4 11:32:46 2025 matrix starts at (0, 0)
  221. Fri Jul 4 11:32:47 2025 matrix is 6050692 x 6050870 (2864.6 MB) with weight 863130442 (142.65/col)
  222. Fri Jul 4 11:32:47 2025 sparse part has weight 678314755 (112.10/col)
  223. Fri Jul 4 11:32:47 2025 saving the first 240 matrix rows for later
  224. Fri Jul 4 11:32:49 2025 matrix includes 256 packed rows
  225. Fri Jul 4 11:32:50 2025 matrix is 6050452 x 6050870 (2569.8 MB) with weight 617651059 (102.08/col)
  226. Fri Jul 4 11:32:50 2025 sparse part has weight 576837392 (95.33/col)
  227. Fri Jul 4 11:32:50 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  228. Fri Jul 4 11:33:03 2025 commencing Lanczos iteration (64 threads)
  229. Fri Jul 4 11:33:03 2025 memory use: 3709.0 MB
  230. Fri Jul 4 11:33:56 2025 linear algebra at 0.5%, ETA 2h50m
  231. Fri Jul 4 11:35:08 2025 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  232. Fri Jul 4 14:12:36 2025 lanczos halted after 23706 iterations (dim = 6050450)
  233. Fri Jul 4 14:13:00 2025 recovered 31 nontrivial dependencies
  234. Fri Jul 4 14:13:00 2025 BLanczosTime: 9617
  235. Fri Jul 4 14:13:00 2025
  236. Fri Jul 4 14:13:00 2025 commencing square root phase
  237. Fri Jul 4 14:13:00 2025 handling dependencies 1 to 64
  238. Fri Jul 4 14:13:00 2025 reading relations for dependency 1
  239. Fri Jul 4 14:13:01 2025 read 3023855 cycles
  240. Fri Jul 4 14:13:05 2025 cycles contain 11145706 unique relations
  241. Fri Jul 4 14:15:27 2025 read 11145706 relations
  242. Fri Jul 4 14:16:02 2025 multiplying 11145706 relations
  243. Fri Jul 4 14:17:06 2025 multiply complete, coefficients have about 604.72 million bits
  244. Fri Jul 4 14:17:08 2025 initial square root is modulo 266359
  245. Fri Jul 4 14:20:19 2025 sqrtTime: 439
  246. Fri Jul 4 14:20:19 2025 p70 factor: 2716209545353118789023175839469641338619391364294902773949484143213887
  247. Fri Jul 4 14:20:19 2025 p92 factor: 93924049208228355670612109524356808420255259391609059778702299234576894833167348156808078609
  248. Fri Jul 4 14:20:19 2025 elapsed time 02:47:36
  249.  
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