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May 15th, 2025
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  1. Wed May 14 22:40:59 2025
  2. Wed May 14 22:40:59 2025
  3. Wed May 14 22:40:59 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed May 14 22:40:59 2025 random seeds: 2cf21e6b 3082ed1f
  5. Wed May 14 22:40:59 2025 MPI process 0 of 1
  6. Wed May 14 22:40:59 2025 Using 32 OpenMP threads
  7. Wed May 14 22:40:59 2025 factoring 10211749438562136685878161075845194865232027214315460260541862694588304798052971097237180857436710569018082779956294460274813713776623284792593111397720086649011347316509618097 (176 digits)
  8. Wed May 14 22:41:00 2025 searching for 15-digit factors
  9. Wed May 14 22:41:01 2025 commencing number field sieve (176-digit input)
  10. Wed May 14 22:41:01 2025 R0: -4776669940183385225254202164076158
  11. Wed May 14 22:41:01 2025 R1: 6107055246820122791
  12. Wed May 14 22:41:01 2025 A0: -43465320945814927470272344675065616948755
  13. Wed May 14 22:41:01 2025 A1: 41779637008476525134225451003092813
  14. Wed May 14 22:41:01 2025 A2: -27126659859050537304285938992
  15. Wed May 14 22:41:01 2025 A3: -2591397291086268057298
  16. Wed May 14 22:41:01 2025 A4: 305573407808832
  17. Wed May 14 22:41:01 2025 A5: 4106520
  18. Wed May 14 22:41:01 2025 skew 11004877.74, size 3.841e-17, alpha -7.291, combined = 1.608e-13 rroots = 3
  19. Wed May 14 22:41:01 2025
  20. Wed May 14 22:41:01 2025 commencing relation filtering
  21. Wed May 14 22:41:01 2025 setting target matrix density to 120.0
  22. Wed May 14 22:41:01 2025 estimated available RAM is 257736.5 MB
  23. Wed May 14 22:41:01 2025 commencing duplicate removal, pass 1
  24. Wed May 14 22:41:55 2025 error -1 reading relation 23548103
  25. Wed May 14 22:44:23 2025 error -1 reading relation 87393480
  26. Wed May 14 22:44:58 2025 error -1 reading relation 102104548
  27. Wed May 14 22:44:59 2025 error -1 reading relation 102517788
  28. Wed May 14 22:45:07 2025 error -15 reading relation 105853845
  29. Wed May 14 22:45:16 2025 error -1 reading relation 108992991
  30. Wed May 14 22:45:20 2025 error -1 reading relation 110614779
  31. Wed May 14 22:45:42 2025 error -1 reading relation 119364018
  32. Wed May 14 22:46:03 2025 error -1 reading relation 127795386
  33. Wed May 14 22:46:55 2025 error -1 reading relation 149715573
  34. Wed May 14 22:46:56 2025 error -1 reading relation 150279870
  35. Wed May 14 22:47:22 2025 error -1 reading relation 161061364
  36. Wed May 14 22:47:23 2025 error -1 reading relation 161486982
  37. Wed May 14 22:47:35 2025 error -1 reading relation 166145792
  38. Wed May 14 22:47:35 2025 error -1 reading relation 166196660
  39. Wed May 14 22:47:36 2025 error -1 reading relation 166551776
  40. Wed May 14 22:47:37 2025 error -1 reading relation 167017667
  41. Wed May 14 22:48:02 2025 error -1 reading relation 178080973
  42. Wed May 14 22:48:09 2025 error -1 reading relation 181076689
  43. Wed May 14 22:48:21 2025 error -1 reading relation 186437159
  44. Wed May 14 22:48:36 2025 error -1 reading relation 192683778
  45. Wed May 14 22:48:36 2025 error -1 reading relation 192867162
  46. Wed May 14 22:48:52 2025 error -6 reading relation 199900289
  47. Wed May 14 22:49:03 2025 error -1 reading relation 205263518
  48. Wed May 14 22:49:19 2025 error -1 reading relation 212518605
  49. Wed May 14 22:49:28 2025 error -1 reading relation 216738429
  50. Wed May 14 22:49:45 2025 error -1 reading relation 224361798
  51. Wed May 14 22:49:50 2025 error -1 reading relation 226753978
  52. Wed May 14 22:49:55 2025 error -1 reading relation 229114715
  53. Wed May 14 22:49:55 2025 error -1 reading relation 229115348
  54. Wed May 14 22:50:00 2025 error -1 reading relation 231264744
  55. Wed May 14 22:50:02 2025 error -1 reading relation 232444011
  56. Wed May 14 22:50:16 2025 error -1 reading relation 238587964
  57. Wed May 14 22:50:20 2025 error -1 reading relation 240308157
  58. Wed May 14 22:50:20 2025 error -1 reading relation 240550256
  59. Wed May 14 22:50:22 2025 error -1 reading relation 241455351
  60. Wed May 14 22:50:32 2025 error -1 reading relation 245774943
  61. Wed May 14 22:50:35 2025 skipped 1 relations with b > 2^32
  62. Wed May 14 22:50:35 2025 skipped 1 relations with composite factors
  63. Wed May 14 22:50:35 2025 skipped 266 malformed relations
  64. Wed May 14 22:50:35 2025 found 53153424 hash collisions in 247273193 relations
  65. Wed May 14 22:50:58 2025 commencing duplicate removal, pass 2
  66. Wed May 14 22:56:36 2025 found 55406433 duplicates and 191866760 unique relations
  67. Wed May 14 22:56:36 2025 memory use: 1449.5 MB
  68. Wed May 14 22:56:36 2025 reading ideals above 720000
  69. Wed May 14 22:56:36 2025 commencing singleton removal, initial pass
  70. Wed May 14 23:11:29 2025 memory use: 5512.0 MB
  71. Wed May 14 23:11:30 2025 reading all ideals from disk
  72. Wed May 14 23:11:34 2025 memory use: 9195.0 MB
  73. Wed May 14 23:11:58 2025 keeping 177423913 ideals with weight <= 200, target excess is 987139
  74. Wed May 14 23:12:28 2025 commencing in-memory singleton removal
  75. Wed May 14 23:12:32 2025 begin with 191866760 relations and 177423913 unique ideals
  76. Wed May 14 23:12:49 2025 reduce to 127827435 relations and 107238254 ideals in 14 passes
  77. Wed May 14 23:12:49 2025 max relations containing the same ideal: 162
  78. Wed May 14 23:13:50 2025 removing 11182079 relations and 9182079 ideals in 2000000 cliques
  79. Wed May 14 23:13:55 2025 commencing in-memory singleton removal
  80. Wed May 14 23:13:58 2025 begin with 116645356 relations and 107238254 unique ideals
  81. Wed May 14 23:14:06 2025 reduce to 115836127 relations and 97230396 ideals in 8 passes
  82. Wed May 14 23:14:06 2025 max relations containing the same ideal: 153
  83. Wed May 14 23:14:55 2025 removing 8625797 relations and 6625797 ideals in 2000000 cliques
  84. Wed May 14 23:15:00 2025 commencing in-memory singleton removal
  85. Wed May 14 23:15:02 2025 begin with 107210330 relations and 97230396 unique ideals
  86. Wed May 14 23:15:10 2025 reduce to 106660091 relations and 90044542 ideals in 8 passes
  87. Wed May 14 23:15:10 2025 max relations containing the same ideal: 146
  88. Wed May 14 23:15:55 2025 removing 7870592 relations and 5870592 ideals in 2000000 cliques
  89. Wed May 14 23:15:59 2025 commencing in-memory singleton removal
  90. Wed May 14 23:16:01 2025 begin with 98789499 relations and 90044542 unique ideals
  91. Wed May 14 23:16:07 2025 reduce to 98289171 relations and 83664926 ideals in 7 passes
  92. Wed May 14 23:16:07 2025 max relations containing the same ideal: 141
  93. Wed May 14 23:16:50 2025 removing 7514125 relations and 5514125 ideals in 2000000 cliques
  94. Wed May 14 23:16:54 2025 commencing in-memory singleton removal
  95. Wed May 14 23:16:56 2025 begin with 90775046 relations and 83664926 unique ideals
  96. Wed May 14 23:17:03 2025 reduce to 90287850 relations and 77654422 ideals in 8 passes
  97. Wed May 14 23:17:03 2025 max relations containing the same ideal: 132
  98. Wed May 14 23:17:43 2025 removing 7320023 relations and 5320023 ideals in 2000000 cliques
  99. Wed May 14 23:17:46 2025 commencing in-memory singleton removal
  100. Wed May 14 23:17:48 2025 begin with 82967827 relations and 77654422 unique ideals
  101. Wed May 14 23:17:53 2025 reduce to 82468473 relations and 71825079 ideals in 7 passes
  102. Wed May 14 23:17:53 2025 max relations containing the same ideal: 121
  103. Wed May 14 23:18:31 2025 removing 7222803 relations and 5222803 ideals in 2000000 cliques
  104. Wed May 14 23:18:34 2025 commencing in-memory singleton removal
  105. Wed May 14 23:18:36 2025 begin with 75245670 relations and 71825079 unique ideals
  106. Wed May 14 23:18:40 2025 reduce to 74718745 relations and 66063843 ideals in 8 passes
  107. Wed May 14 23:18:40 2025 max relations containing the same ideal: 113
  108. Wed May 14 23:19:17 2025 removing 7195819 relations and 5195819 ideals in 2000000 cliques
  109. Wed May 14 23:19:20 2025 commencing in-memory singleton removal
  110. Wed May 14 23:19:22 2025 begin with 67522926 relations and 66063843 unique ideals
  111. Wed May 14 23:19:26 2025 reduce to 66944556 relations and 60276112 ideals in 7 passes
  112. Wed May 14 23:19:26 2025 max relations containing the same ideal: 104
  113. Wed May 14 23:19:58 2025 removing 7228702 relations and 5228702 ideals in 2000000 cliques
  114. Wed May 14 23:20:01 2025 commencing in-memory singleton removal
  115. Wed May 14 23:20:02 2025 begin with 59715854 relations and 60276112 unique ideals
  116. Wed May 14 23:20:06 2025 reduce to 59058959 relations and 54373295 ideals in 9 passes
  117. Wed May 14 23:20:06 2025 max relations containing the same ideal: 94
  118. Wed May 14 23:20:36 2025 removing 7324930 relations and 5324930 ideals in 2000000 cliques
  119. Wed May 14 23:20:38 2025 commencing in-memory singleton removal
  120. Wed May 14 23:20:40 2025 begin with 51734029 relations and 54373295 unique ideals
  121. Wed May 14 23:20:43 2025 reduce to 50953238 relations and 48244989 ideals in 9 passes
  122. Wed May 14 23:20:43 2025 max relations containing the same ideal: 87
  123. Wed May 14 23:21:10 2025 removing 6194977 relations and 4631810 ideals in 1563167 cliques
  124. Wed May 14 23:21:13 2025 commencing in-memory singleton removal
  125. Wed May 14 23:21:14 2025 begin with 44758261 relations and 48244989 unique ideals
  126. Wed May 14 23:21:16 2025 reduce to 44111003 relations and 42948734 ideals in 8 passes
  127. Wed May 14 23:21:16 2025 max relations containing the same ideal: 79
  128. Wed May 14 23:21:40 2025 removing 150221 relations and 133034 ideals in 17187 cliques
  129. Wed May 14 23:21:42 2025 commencing in-memory singleton removal
  130. Wed May 14 23:21:43 2025 begin with 43960782 relations and 42948734 unique ideals
  131. Wed May 14 23:21:45 2025 reduce to 43960479 relations and 42815397 ideals in 5 passes
  132. Wed May 14 23:21:45 2025 max relations containing the same ideal: 78
  133. Wed May 14 23:21:50 2025 relations with 0 large ideals: 3321
  134. Wed May 14 23:21:50 2025 relations with 1 large ideals: 15476
  135. Wed May 14 23:21:50 2025 relations with 2 large ideals: 221760
  136. Wed May 14 23:21:50 2025 relations with 3 large ideals: 1400236
  137. Wed May 14 23:21:50 2025 relations with 4 large ideals: 4769785
  138. Wed May 14 23:21:50 2025 relations with 5 large ideals: 9679448
  139. Wed May 14 23:21:50 2025 relations with 6 large ideals: 12231049
  140. Wed May 14 23:21:50 2025 relations with 7+ large ideals: 15639404
  141. Wed May 14 23:21:50 2025 commencing 2-way merge
  142. Wed May 14 23:22:25 2025 reduce to 27719635 relation sets and 26574553 unique ideals
  143. Wed May 14 23:22:25 2025 commencing full merge
  144. Wed May 14 23:33:05 2025 memory use: 3131.9 MB
  145. Wed May 14 23:33:08 2025 found 12080156 cycles, need 12014753
  146. Wed May 14 23:33:12 2025 weight of 12014753 cycles is about 1442208337 (120.04/cycle)
  147. Wed May 14 23:33:12 2025 distribution of cycle lengths:
  148. Wed May 14 23:33:12 2025 1 relations: 876495
  149. Wed May 14 23:33:12 2025 2 relations: 821372
  150. Wed May 14 23:33:12 2025 3 relations: 859243
  151. Wed May 14 23:33:12 2025 4 relations: 863226
  152. Wed May 14 23:33:12 2025 5 relations: 874238
  153. Wed May 14 23:33:12 2025 6 relations: 854067
  154. Wed May 14 23:33:12 2025 7 relations: 825784
  155. Wed May 14 23:33:12 2025 8 relations: 789314
  156. Wed May 14 23:33:12 2025 9 relations: 736695
  157. Wed May 14 23:33:12 2025 10+ relations: 4514319
  158. Wed May 14 23:33:12 2025 heaviest cycle: 28 relations
  159. Wed May 14 23:33:16 2025 commencing cycle optimization
  160. Wed May 14 23:33:41 2025 start with 101716290 relations
  161. Wed May 14 23:37:42 2025 pruned 4294092 relations
  162. Wed May 14 23:37:42 2025 memory use: 2830.0 MB
  163. Wed May 14 23:37:43 2025 distribution of cycle lengths:
  164. Wed May 14 23:37:43 2025 1 relations: 876495
  165. Wed May 14 23:37:43 2025 2 relations: 844755
  166. Wed May 14 23:37:43 2025 3 relations: 896356
  167. Wed May 14 23:37:43 2025 4 relations: 898137
  168. Wed May 14 23:37:43 2025 5 relations: 914934
  169. Wed May 14 23:37:43 2025 6 relations: 891010
  170. Wed May 14 23:37:43 2025 7 relations: 865354
  171. Wed May 14 23:37:43 2025 8 relations: 821005
  172. Wed May 14 23:37:43 2025 9 relations: 764896
  173. Wed May 14 23:37:43 2025 10+ relations: 4241811
  174. Wed May 14 23:37:43 2025 heaviest cycle: 28 relations
  175. Wed May 14 23:38:07 2025 RelProcTime: 3426
  176. Wed May 14 23:38:07 2025
  177. Wed May 14 23:38:07 2025 commencing linear algebra
  178. Wed May 14 23:38:07 2025 using VBITS=256
  179. Wed May 14 23:38:07 2025 stopping after matrix build
  180. Wed May 14 23:38:07 2025 initialized process (0,0) of 1 x 1 grid
  181. Wed May 14 23:38:08 2025 read 12014753 cycles
  182. Wed May 14 23:38:29 2025 cycles contain 43197078 unique relations
  183. Wed May 14 23:42:18 2025 read 43197078 relations
  184. Wed May 14 23:42:24 2025 using 20 quadratic characters above 4294917295
  185. Wed May 14 23:42:30 2025 building initial matrix
  186. Wed May 14 23:51:51 2025 memory use: 6015.6 MB
  187. Wed May 14 23:52:00 2025 read 12014753 cycles
  188. Wed May 14 23:52:01 2025 matrix is 12014573 x 12014753 (5666.7 MB) with weight 1733148004 (144.25/col)
  189. Wed May 14 23:52:01 2025 sparse part has weight 1341310395 (111.64/col)
  190. Wed May 14 23:55:11 2025 filtering completed in 2 passes
  191. Wed May 14 23:55:14 2025 matrix is 12013635 x 12013813 (5666.6 MB) with weight 1733100642 (144.26/col)
  192. Wed May 14 23:55:14 2025 sparse part has weight 1341295608 (111.65/col)
  193. Wed May 14 23:56:26 2025 BLanczosTime: 1099
  194. Wed May 14 23:56:26 2025 elapsed time 01:15:27
  195. Thu May 15 03:59:31 2025
  196. Thu May 15 03:59:31 2025
  197. Thu May 15 03:59:31 2025 Msieve v. 1.54 (SVN Unversioned directory)
  198. Thu May 15 03:59:31 2025 random seeds: d7c7d87c 146dfc47
  199. Thu May 15 03:59:31 2025 Using 96 OpenMP threads
  200. Thu May 15 03:59:31 2025 factoring 10211749438562136685878161075845194865232027214315460260541862694588304798052971097237180857436710569018082779956294460274813713776623284792593111397720086649011347316509618097 (176 digits)
  201. Thu May 15 03:59:31 2025 searching for 15-digit factors
  202. Thu May 15 03:59:32 2025 commencing number field sieve (176-digit input)
  203. Thu May 15 03:59:32 2025 R0: -4776669940183385225254202164076158
  204. Thu May 15 03:59:32 2025 R1: 6107055246820122791
  205. Thu May 15 03:59:32 2025 A0: -43465320945814927470272344675065616948755
  206. Thu May 15 03:59:32 2025 A1: 41779637008476525134225451003092813
  207. Thu May 15 03:59:32 2025 A2: -27126659859050537304285938992
  208. Thu May 15 03:59:32 2025 A3: -2591397291086268057298
  209. Thu May 15 03:59:32 2025 A4: 305573407808832
  210. Thu May 15 03:59:32 2025 A5: 4106520
  211. Thu May 15 03:59:32 2025 skew 11004877.74, size 3.841e-17, alpha -7.291, combined = 1.608e-13 rroots = 3
  212. Thu May 15 03:59:32 2025
  213. Thu May 15 03:59:32 2025 commencing linear algebra
  214. Thu May 15 03:59:32 2025 using VBITS=256
  215. Thu May 15 03:59:32 2025 skipping matrix build
  216. Thu May 15 03:59:34 2025 matrix starts at (0, 0)
  217. Thu May 15 03:59:36 2025 matrix is 12013635 x 12013813 (5666.6 MB) with weight 1733100642 (144.26/col)
  218. Thu May 15 03:59:36 2025 sparse part has weight 1341295608 (111.65/col)
  219. Thu May 15 03:59:36 2025 saving the first 240 matrix rows for later
  220. Thu May 15 03:59:38 2025 matrix includes 256 packed rows
  221. Thu May 15 03:59:42 2025 matrix is 12013395 x 12013813 (5151.3 MB) with weight 1233157306 (102.64/col)
  222. Thu May 15 03:59:42 2025 sparse part has weight 1158160222 (96.40/col)
  223. Thu May 15 03:59:42 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  224. Thu May 15 04:00:19 2025 commencing Lanczos iteration (96 threads)
  225. Thu May 15 04:00:19 2025 memory use: 7085.7 MB
  226. Thu May 15 04:01:57 2025 linear algebra at 0.3%, ETA 10h 6m
  227. Thu May 15 04:04:01 2025 checking every 20000 dimensions, checkpointing every 1280000 dimensions
  228. Thu May 15 12:56:41 2025 lanczos halted after 47068 iterations (dim = 12013393)
  229. Thu May 15 12:57:57 2025 recovered 29 nontrivial dependencies
  230. Thu May 15 12:57:59 2025 BLanczosTime: 32307
  231. Thu May 15 12:57:59 2025
  232. Thu May 15 12:57:59 2025 commencing square root phase
  233. Thu May 15 12:57:59 2025 handling dependencies 1 to 64
  234. Thu May 15 12:57:59 2025 reading relations for dependency 1
  235. Thu May 15 12:58:01 2025 read 6005762 cycles
  236. Thu May 15 12:58:19 2025 cycles contain 21589584 unique relations
  237. Thu May 15 13:03:07 2025 read 21589584 relations
  238. Thu May 15 13:05:23 2025 multiplying 21589584 relations
  239. Thu May 15 13:26:52 2025 multiply complete, coefficients have about 1320.17 million bits
  240. Thu May 15 13:26:57 2025 initial square root is modulo 835453
  241. Thu May 15 13:40:18 2025 GCD is 1, no factor found
  242. Thu May 15 13:40:18 2025 reading relations for dependency 2
  243. Thu May 15 13:40:21 2025 read 6006356 cycles
  244. Thu May 15 13:40:39 2025 cycles contain 21599608 unique relations
  245. Thu May 15 13:45:26 2025 read 21599608 relations
  246. Thu May 15 13:47:48 2025 multiplying 21599608 relations
  247. Thu May 15 14:08:57 2025 multiply complete, coefficients have about 1320.77 million bits
  248. Thu May 15 14:09:03 2025 initial square root is modulo 840727
  249. Thu May 15 14:22:21 2025 sqrtTime: 5062
  250. Thu May 15 14:22:21 2025 p84 factor: 435685703141379135321834857289264092514809021375248751489841546248755317393585213467
  251. Thu May 15 14:22:21 2025 p92 factor: 23438339529925875281148850451876033389636096525744770047717331722889431636716562932590457891
  252. Thu May 15 14:22:21 2025 elapsed time 10:22:50
  253.  
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