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May 10th, 2025
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  1. Sat May 10 10:22:03 2025
  2. Sat May 10 10:22:03 2025
  3. Sat May 10 10:22:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 10 10:22:03 2025 random seeds: 598092f9 73058d2a
  5. Sat May 10 10:22:03 2025 MPI process 0 of 1
  6. Sat May 10 10:22:03 2025 Using 32 OpenMP threads
  7. Sat May 10 10:22:03 2025 factoring 147534992443135264553941977538302682428582244831176106760024421602116070025147544312173790032769702460091704824445042902560655294228438109463719819894637405452430571047136513 (174 digits)
  8. Sat May 10 10:22:04 2025 searching for 15-digit factors
  9. Sat May 10 10:22:05 2025 commencing number field sieve (174-digit input)
  10. Sat May 10 10:22:05 2025 R0: -2328165186224045045833581332526159
  11. Sat May 10 10:22:05 2025 R1: 3604062339783058729
  12. Sat May 10 10:22:05 2025 A0: -235221150030076573477040959264842520895600
  13. Sat May 10 10:22:05 2025 A1: 252847432633315654679504123134310538
  14. Sat May 10 10:22:05 2025 A2: -103991286830008512644684343797
  15. Sat May 10 10:22:05 2025 A3: -4498038900809802751092
  16. Sat May 10 10:22:05 2025 A4: 325116986311108
  17. Sat May 10 10:22:05 2025 A5: 2156880
  18. Sat May 10 10:22:05 2025 skew 18834511.85, size 5.926e-17, alpha -8.410, combined = 2.067e-13 rroots = 3
  19. Sat May 10 10:22:05 2025
  20. Sat May 10 10:22:05 2025 commencing relation filtering
  21. Sat May 10 10:22:05 2025 setting target matrix density to 130.0
  22. Sat May 10 10:22:05 2025 estimated available RAM is 257736.5 MB
  23. Sat May 10 10:22:05 2025 commencing duplicate removal, pass 1
  24. Sat May 10 10:22:59 2025 error -1 reading relation 22795380
  25. Sat May 10 10:23:22 2025 error -1 reading relation 31237332
  26. Sat May 10 10:26:26 2025 error -1 reading relation 100665271
  27. Sat May 10 10:26:49 2025 error -1 reading relation 109309765
  28. Sat May 10 10:27:21 2025 error -1 reading relation 120715148
  29. Sat May 10 10:28:05 2025 error -1 reading relation 136516412
  30. Sat May 10 10:28:23 2025 error -1 reading relation 142639744
  31. Sat May 10 10:28:32 2025 error -1 reading relation 145883847
  32. Sat May 10 10:28:35 2025 error -1 reading relation 146852596
  33. Sat May 10 10:28:38 2025 error -15 reading relation 148097885
  34. Sat May 10 10:28:58 2025 error -1 reading relation 155890145
  35. Sat May 10 10:29:01 2025 error -15 reading relation 156796081
  36. Sat May 10 10:29:07 2025 error -1 reading relation 159034347
  37. Sat May 10 10:29:35 2025 error -1 reading relation 169212915
  38. Sat May 10 10:30:04 2025 error -1 reading relation 179478292
  39. Sat May 10 10:30:19 2025 error -1 reading relation 185593273
  40. Sat May 10 10:30:22 2025 error -1 reading relation 186360212
  41. Sat May 10 10:30:33 2025 error -1 reading relation 190730095
  42. Sat May 10 10:30:43 2025 error -1 reading relation 194373830
  43. Sat May 10 10:31:17 2025 error -1 reading relation 206917118
  44. Sat May 10 10:32:49 2025 error -1 reading relation 242336344
  45. Sat May 10 10:32:51 2025 error -1 reading relation 242913543
  46. Sat May 10 10:33:16 2025 error -1 reading relation 252395102
  47. Sat May 10 10:33:25 2025 error -1 reading relation 255893688
  48. Sat May 10 10:33:26 2025 error -1 reading relation 256436456
  49. Sat May 10 10:33:27 2025 error -1 reading relation 256664784
  50. Sat May 10 10:33:29 2025 skipped 1 relations with composite factors
  51. Sat May 10 10:33:29 2025 skipped 190 malformed relations
  52. Sat May 10 10:33:29 2025 found 54665080 hash collisions in 257399428 relations
  53. Sat May 10 10:33:53 2025 added 121321 free relations
  54. Sat May 10 10:33:53 2025 commencing duplicate removal, pass 2
  55. Sat May 10 10:39:39 2025 found 56107418 duplicates and 201413331 unique relations
  56. Sat May 10 10:39:39 2025 memory use: 1449.5 MB
  57. Sat May 10 10:39:39 2025 reading ideals above 720000
  58. Sat May 10 10:39:39 2025 commencing singleton removal, initial pass
  59. Sat May 10 11:01:07 2025 memory use: 5512.0 MB
  60. Sat May 10 11:01:08 2025 reading all ideals from disk
  61. Sat May 10 11:01:12 2025 memory use: 9601.2 MB
  62. Sat May 10 11:01:39 2025 keeping 179065117 ideals with weight <= 200, target excess is 1031668
  63. Sat May 10 11:02:13 2025 commencing in-memory singleton removal
  64. Sat May 10 11:02:17 2025 begin with 201413331 relations and 179065117 unique ideals
  65. Sat May 10 11:02:34 2025 reduce to 140613003 relations and 112881666 ideals in 12 passes
  66. Sat May 10 11:02:34 2025 max relations containing the same ideal: 166
  67. Sat May 10 11:03:42 2025 removing 10446952 relations and 8446952 ideals in 2000000 cliques
  68. Sat May 10 11:03:48 2025 commencing in-memory singleton removal
  69. Sat May 10 11:03:51 2025 begin with 130166051 relations and 112881666 unique ideals
  70. Sat May 10 11:04:00 2025 reduce to 129532728 relations and 103789732 ideals in 8 passes
  71. Sat May 10 11:04:00 2025 max relations containing the same ideal: 158
  72. Sat May 10 11:04:56 2025 removing 8047683 relations and 6047683 ideals in 2000000 cliques
  73. Sat May 10 11:05:02 2025 commencing in-memory singleton removal
  74. Sat May 10 11:05:05 2025 begin with 121485045 relations and 103789732 unique ideals
  75. Sat May 10 11:05:12 2025 reduce to 121059534 relations and 97309477 ideals in 7 passes
  76. Sat May 10 11:05:12 2025 max relations containing the same ideal: 153
  77. Sat May 10 11:06:15 2025 removing 7347626 relations and 5347626 ideals in 2000000 cliques
  78. Sat May 10 11:06:22 2025 commencing in-memory singleton removal
  79. Sat May 10 11:06:25 2025 begin with 113711908 relations and 97309477 unique ideals
  80. Sat May 10 11:06:32 2025 reduce to 113333892 relations and 91577872 ideals in 7 passes
  81. Sat May 10 11:06:32 2025 max relations containing the same ideal: 146
  82. Sat May 10 11:07:23 2025 removing 7001112 relations and 5001112 ideals in 2000000 cliques
  83. Sat May 10 11:07:27 2025 commencing in-memory singleton removal
  84. Sat May 10 11:07:30 2025 begin with 106332780 relations and 91577872 unique ideals
  85. Sat May 10 11:07:38 2025 reduce to 105971750 relations and 86209808 ideals in 8 passes
  86. Sat May 10 11:07:38 2025 max relations containing the same ideal: 140
  87. Sat May 10 11:08:20 2025 removing 6796074 relations and 4796074 ideals in 2000000 cliques
  88. Sat May 10 11:08:23 2025 commencing in-memory singleton removal
  89. Sat May 10 11:08:25 2025 begin with 99175676 relations and 86209808 unique ideals
  90. Sat May 10 11:08:30 2025 reduce to 98819172 relations and 81051232 ideals in 7 passes
  91. Sat May 10 11:08:30 2025 max relations containing the same ideal: 134
  92. Sat May 10 11:09:13 2025 removing 6667390 relations and 4667390 ideals in 2000000 cliques
  93. Sat May 10 11:09:17 2025 commencing in-memory singleton removal
  94. Sat May 10 11:09:19 2025 begin with 92151782 relations and 81051232 unique ideals
  95. Sat May 10 11:09:24 2025 reduce to 91790050 relations and 76015427 ideals in 7 passes
  96. Sat May 10 11:09:24 2025 max relations containing the same ideal: 130
  97. Sat May 10 11:10:05 2025 removing 6596114 relations and 4596114 ideals in 2000000 cliques
  98. Sat May 10 11:10:08 2025 commencing in-memory singleton removal
  99. Sat May 10 11:10:10 2025 begin with 85193936 relations and 76015427 unique ideals
  100. Sat May 10 11:10:15 2025 reduce to 84816532 relations and 71034474 ideals in 7 passes
  101. Sat May 10 11:10:15 2025 max relations containing the same ideal: 122
  102. Sat May 10 11:10:53 2025 removing 6558170 relations and 4558170 ideals in 2000000 cliques
  103. Sat May 10 11:10:56 2025 commencing in-memory singleton removal
  104. Sat May 10 11:10:57 2025 begin with 78258362 relations and 71034474 unique ideals
  105. Sat May 10 11:11:02 2025 reduce to 77856504 relations and 66066219 ideals in 7 passes
  106. Sat May 10 11:11:02 2025 max relations containing the same ideal: 118
  107. Sat May 10 11:11:35 2025 removing 6560161 relations and 4560161 ideals in 2000000 cliques
  108. Sat May 10 11:11:38 2025 commencing in-memory singleton removal
  109. Sat May 10 11:11:40 2025 begin with 71296343 relations and 66066219 unique ideals
  110. Sat May 10 11:11:44 2025 reduce to 70861565 relations and 61061503 ideals in 7 passes
  111. Sat May 10 11:11:44 2025 max relations containing the same ideal: 110
  112. Sat May 10 11:12:14 2025 removing 6590888 relations and 4590888 ideals in 2000000 cliques
  113. Sat May 10 11:12:17 2025 commencing in-memory singleton removal
  114. Sat May 10 11:12:18 2025 begin with 64270677 relations and 61061503 unique ideals
  115. Sat May 10 11:12:22 2025 reduce to 63786845 relations and 55974922 ideals in 7 passes
  116. Sat May 10 11:12:22 2025 max relations containing the same ideal: 101
  117. Sat May 10 11:12:51 2025 removing 6662162 relations and 4662162 ideals in 2000000 cliques
  118. Sat May 10 11:12:54 2025 commencing in-memory singleton removal
  119. Sat May 10 11:12:55 2025 begin with 57124683 relations and 55974922 unique ideals
  120. Sat May 10 11:12:58 2025 reduce to 56568610 relations and 50741857 ideals in 8 passes
  121. Sat May 10 11:12:58 2025 max relations containing the same ideal: 94
  122. Sat May 10 11:13:25 2025 removing 6782113 relations and 4782113 ideals in 2000000 cliques
  123. Sat May 10 11:13:27 2025 commencing in-memory singleton removal
  124. Sat May 10 11:13:28 2025 begin with 49786497 relations and 50741857 unique ideals
  125. Sat May 10 11:13:31 2025 reduce to 49125719 relations and 45279103 ideals in 8 passes
  126. Sat May 10 11:13:31 2025 max relations containing the same ideal: 85
  127. Sat May 10 11:13:55 2025 removing 6960116 relations and 4960116 ideals in 2000000 cliques
  128. Sat May 10 11:13:57 2025 commencing in-memory singleton removal
  129. Sat May 10 11:13:58 2025 begin with 42165603 relations and 45279103 unique ideals
  130. Sat May 10 11:14:01 2025 reduce to 41336586 relations and 39461079 ideals in 9 passes
  131. Sat May 10 11:14:01 2025 max relations containing the same ideal: 80
  132. Sat May 10 11:14:21 2025 removing 3114781 relations and 2436009 ideals in 678772 cliques
  133. Sat May 10 11:14:23 2025 commencing in-memory singleton removal
  134. Sat May 10 11:14:24 2025 begin with 38221805 relations and 39461079 unique ideals
  135. Sat May 10 11:14:26 2025 reduce to 38035278 relations and 36835927 ideals in 8 passes
  136. Sat May 10 11:14:26 2025 max relations containing the same ideal: 76
  137. Sat May 10 11:14:48 2025 relations with 0 large ideals: 3393
  138. Sat May 10 11:14:48 2025 relations with 1 large ideals: 20011
  139. Sat May 10 11:14:48 2025 relations with 2 large ideals: 269333
  140. Sat May 10 11:14:48 2025 relations with 3 large ideals: 1578371
  141. Sat May 10 11:14:48 2025 relations with 4 large ideals: 4956243
  142. Sat May 10 11:14:48 2025 relations with 5 large ideals: 9186969
  143. Sat May 10 11:14:48 2025 relations with 6 large ideals: 10502817
  144. Sat May 10 11:14:48 2025 relations with 7+ large ideals: 11518141
  145. Sat May 10 11:14:48 2025 commencing 2-way merge
  146. Sat May 10 11:15:14 2025 reduce to 24011384 relation sets and 22812033 unique ideals
  147. Sat May 10 11:15:14 2025 commencing full merge
  148. Sat May 10 11:23:24 2025 memory use: 2733.2 MB
  149. Sat May 10 11:23:25 2025 found 10232855 cycles, need 10180233
  150. Sat May 10 11:23:28 2025 weight of 10180233 cycles is about 1323718484 (130.03/cycle)
  151. Sat May 10 11:23:29 2025 distribution of cycle lengths:
  152. Sat May 10 11:23:29 2025 1 relations: 641975
  153. Sat May 10 11:23:29 2025 2 relations: 617171
  154. Sat May 10 11:23:29 2025 3 relations: 646883
  155. Sat May 10 11:23:29 2025 4 relations: 658419
  156. Sat May 10 11:23:29 2025 5 relations: 673272
  157. Sat May 10 11:23:29 2025 6 relations: 674196
  158. Sat May 10 11:23:29 2025 7 relations: 674397
  159. Sat May 10 11:23:29 2025 8 relations: 648796
  160. Sat May 10 11:23:29 2025 9 relations: 622308
  161. Sat May 10 11:23:29 2025 10+ relations: 4322816
  162. Sat May 10 11:23:29 2025 heaviest cycle: 28 relations
  163. Sat May 10 11:23:31 2025 commencing cycle optimization
  164. Sat May 10 11:23:51 2025 start with 93080747 relations
  165. Sat May 10 11:27:14 2025 pruned 4359996 relations
  166. Sat May 10 11:27:14 2025 memory use: 2497.2 MB
  167. Sat May 10 11:27:14 2025 distribution of cycle lengths:
  168. Sat May 10 11:27:14 2025 1 relations: 641975
  169. Sat May 10 11:27:14 2025 2 relations: 634427
  170. Sat May 10 11:27:14 2025 3 relations: 674745
  171. Sat May 10 11:27:14 2025 4 relations: 685758
  172. Sat May 10 11:27:14 2025 5 relations: 707715
  173. Sat May 10 11:27:14 2025 6 relations: 708318
  174. Sat May 10 11:27:14 2025 7 relations: 710113
  175. Sat May 10 11:27:14 2025 8 relations: 683294
  176. Sat May 10 11:27:14 2025 9 relations: 653757
  177. Sat May 10 11:27:14 2025 10+ relations: 4080131
  178. Sat May 10 11:27:14 2025 heaviest cycle: 28 relations
  179. Sat May 10 11:27:31 2025 RelProcTime: 3926
  180. Sat May 10 11:27:31 2025
  181. Sat May 10 11:27:31 2025 commencing linear algebra
  182. Sat May 10 11:27:31 2025 using VBITS=256
  183. Sat May 10 11:27:31 2025 stopping after matrix build
  184. Sat May 10 11:27:31 2025 initialized process (0,0) of 1 x 1 grid
  185. Sat May 10 11:27:32 2025 read 10180233 cycles
  186. Sat May 10 11:27:49 2025 cycles contain 37299675 unique relations
  187. Sat May 10 11:31:44 2025 read 37299675 relations
  188. Sat May 10 11:31:49 2025 using 20 quadratic characters above 4294917295
  189. Sat May 10 11:31:55 2025 building initial matrix
  190. Sat May 10 11:42:06 2025 memory use: 5131.1 MB
  191. Sat May 10 11:42:15 2025 read 10180233 cycles
  192. Sat May 10 11:42:17 2025 matrix is 10180054 x 10180233 (5123.3 MB) with weight 1571261709 (154.34/col)
  193. Sat May 10 11:42:17 2025 sparse part has weight 1220866960 (119.93/col)
  194. Sat May 10 11:44:39 2025 filtering completed in 2 passes
  195. Sat May 10 11:44:42 2025 matrix is 10179657 x 10179835 (5123.2 MB) with weight 1571239765 (154.35/col)
  196. Sat May 10 11:44:42 2025 sparse part has weight 1220859596 (119.93/col)
  197. Sat May 10 11:45:49 2025 BLanczosTime: 1098
  198. Sat May 10 11:45:49 2025 elapsed time 01:23:46
  199. Sat May 10 15:44:09 2025
  200. Sat May 10 15:44:09 2025
  201. Sat May 10 15:44:09 2025 Msieve v. 1.54 (SVN Unversioned directory)
  202. Sat May 10 15:44:09 2025 random seeds: d0fbade9 2ab4eed4
  203. Sat May 10 15:44:09 2025 Using 96 OpenMP threads
  204. Sat May 10 15:44:09 2025 factoring 147534992443135264553941977538302682428582244831176106760024421602116070025147544312173790032769702460091704824445042902560655294228438109463719819894637405452430571047136513 (174 digits)
  205. Sat May 10 15:44:10 2025 searching for 15-digit factors
  206. Sat May 10 15:44:11 2025 commencing number field sieve (174-digit input)
  207. Sat May 10 15:44:11 2025 R0: -2328165186224045045833581332526159
  208. Sat May 10 15:44:11 2025 R1: 3604062339783058729
  209. Sat May 10 15:44:11 2025 A0: -235221150030076573477040959264842520895600
  210. Sat May 10 15:44:11 2025 A1: 252847432633315654679504123134310538
  211. Sat May 10 15:44:11 2025 A2: -103991286830008512644684343797
  212. Sat May 10 15:44:11 2025 A3: -4498038900809802751092
  213. Sat May 10 15:44:11 2025 A4: 325116986311108
  214. Sat May 10 15:44:11 2025 A5: 2156880
  215. Sat May 10 15:44:11 2025 skew 18834511.85, size 5.926e-17, alpha -8.410, combined = 2.067e-13 rroots = 3
  216. Sat May 10 15:44:11 2025
  217. Sat May 10 15:44:11 2025 commencing linear algebra
  218. Sat May 10 15:44:11 2025 using VBITS=256
  219. Sat May 10 15:44:11 2025 skipping matrix build
  220. Sat May 10 15:44:15 2025 matrix starts at (0, 0)
  221. Sat May 10 15:44:19 2025 matrix is 10179657 x 10179835 (5123.2 MB) with weight 1571239765 (154.35/col)
  222. Sat May 10 15:44:19 2025 sparse part has weight 1220859596 (119.93/col)
  223. Sat May 10 15:44:19 2025 saving the first 240 matrix rows for later
  224. Sat May 10 15:44:23 2025 matrix includes 256 packed rows
  225. Sat May 10 15:44:29 2025 matrix is 10179417 x 10179835 (4628.3 MB) with weight 1118305220 (109.85/col)
  226. Sat May 10 15:44:29 2025 sparse part has weight 1050398857 (103.18/col)
  227. Sat May 10 15:44:29 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  228. Sat May 10 15:45:06 2025 commencing Lanczos iteration (96 threads)
  229. Sat May 10 15:45:06 2025 memory use: 6239.2 MB
  230. Sat May 10 15:46:34 2025 linear algebra at 0.3%, ETA 7h44m
  231. Sat May 10 15:48:23 2025 checking every 20000 dimensions, checkpointing every 1440000 dimensions
  232. Sat May 10 22:36:29 2025 lanczos halted after 39885 iterations (dim = 10179417)
  233. Sat May 10 22:37:18 2025 recovered 30 nontrivial dependencies
  234. Sat May 10 22:37:19 2025 BLanczosTime: 24788
  235. Sat May 10 22:37:19 2025
  236. Sat May 10 22:37:19 2025 commencing square root phase
  237. Sat May 10 22:37:19 2025 handling dependencies 1 to 64
  238. Sat May 10 22:37:19 2025 reading relations for dependency 1
  239. Sat May 10 22:37:20 2025 read 5092643 cycles
  240. Sat May 10 22:37:37 2025 cycles contain 18657484 unique relations
  241. Sat May 10 22:41:36 2025 read 18657484 relations
  242. Sat May 10 22:43:04 2025 multiplying 18657484 relations
  243. Sat May 10 22:54:56 2025 multiply complete, coefficients have about 1132.42 million bits
  244. Sat May 10 22:55:01 2025 initial square root is modulo 120163
  245. Sat May 10 23:05:53 2025 sqrtTime: 1714
  246. Sat May 10 23:05:53 2025 p61 factor: 1731457592048420748433820078334174711671841185703020516710307
  247. Sat May 10 23:05:53 2025 p113 factor: 85208550946137988197500530057665678161056443324268200195981980272381295237494589267085135969140124432928744981259
  248. Sat May 10 23:05:53 2025 elapsed time 07:21:44
  249.  
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