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Jun 16th, 2026
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  1. Mon Jun 15 20:14:16 2026
  2. Mon Jun 15 20:14:16 2026
  3. Mon Jun 15 20:14:16 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jun 15 20:14:16 2026 random seeds: dc568ca8 5e6f53f2
  5. Mon Jun 15 20:14:16 2026 MPI process 0 of 1
  6. Mon Jun 15 20:14:16 2026 Using 32 OpenMP threads
  7. Mon Jun 15 20:14:16 2026 factoring 68787614550235146089566129249116430460840933519393663977760230681460287187163257971680881629537720798886792818011094550943057703100947107307564941063113164327087929958433444089 (176 digits)
  8. Mon Jun 15 20:14:17 2026 searching for 15-digit factors
  9. Mon Jun 15 20:14:18 2026 commencing number field sieve (176-digit input)
  10. Mon Jun 15 20:14:18 2026 R0: -935927745762332074991981594423413
  11. Mon Jun 15 20:14:18 2026 R1: 724229356009410136803414799
  12. Mon Jun 15 20:14:18 2026 A0: 266880407486078065704600475079265597254400
  13. Mon Jun 15 20:14:18 2026 A1: 77040565442048985905010494301801454
  14. Mon Jun 15 20:14:18 2026 A2: -10655522003933858919395506063
  15. Mon Jun 15 20:14:18 2026 A3: -1680166816997756697128
  16. Mon Jun 15 20:14:18 2026 A4: 79127393051244
  17. Mon Jun 15 20:14:18 2026 A5: 1958880
  18. Mon Jun 15 20:14:18 2026 skew 7439082.27, size 3.962e-17, alpha -6.943, combined = 1.669e-13 rroots = 5
  19. Mon Jun 15 20:14:18 2026
  20. Mon Jun 15 20:14:18 2026 commencing relation filtering
  21. Mon Jun 15 20:14:18 2026 setting target matrix density to 130.0
  22. Mon Jun 15 20:14:18 2026 estimated available RAM is 257736.5 MB
  23. Mon Jun 15 20:14:18 2026 commencing duplicate removal, pass 1
  24. Mon Jun 15 20:16:40 2026 error -1 reading relation 52118801
  25. Mon Jun 15 20:16:45 2026 error -1 reading relation 53698860
  26. Mon Jun 15 20:16:48 2026 error -1 reading relation 55047117
  27. Mon Jun 15 20:16:52 2026 error -1 reading relation 56549031
  28. Mon Jun 15 20:16:53 2026 error -1 reading relation 56922152
  29. Mon Jun 15 20:16:55 2026 error -1 reading relation 57850689
  30. Mon Jun 15 20:17:00 2026 error -1 reading relation 59855934
  31. Mon Jun 15 20:17:43 2026 error -1 reading relation 74831423
  32. Mon Jun 15 20:18:46 2026 error -1 reading relation 97917581
  33. Mon Jun 15 20:18:53 2026 error -5 reading relation 100679598
  34. Mon Jun 15 20:19:25 2026 error -1 reading relation 113420076
  35. Mon Jun 15 20:19:28 2026 error -1 reading relation 114651906
  36. Mon Jun 15 20:20:14 2026 error -1 reading relation 131249526
  37. Mon Jun 15 20:22:42 2026 error -1 reading relation 187209668
  38. Mon Jun 15 20:23:00 2026 error -1 reading relation 194277673
  39. Mon Jun 15 20:23:18 2026 error -1 reading relation 201392247
  40. Mon Jun 15 20:23:23 2026 error -1 reading relation 203101091
  41. Mon Jun 15 20:24:17 2026 error -1 reading relation 223351219
  42. Mon Jun 15 20:24:21 2026 error -15 reading relation 224836301
  43. Mon Jun 15 20:24:30 2026 error -1 reading relation 228377963
  44. Mon Jun 15 20:24:34 2026 error -1 reading relation 230081698
  45. Mon Jun 15 20:24:46 2026 error -1 reading relation 234970437
  46. Mon Jun 15 20:25:21 2026 error -1 reading relation 248301055
  47. Mon Jun 15 20:25:40 2026 error -1 reading relation 254586474
  48. Mon Jun 15 20:25:43 2026 error -1 reading relation 255623982
  49. Mon Jun 15 20:25:47 2026 error -1 reading relation 257109631
  50. Mon Jun 15 20:27:28 2026 error -1 reading relation 296673468
  51. Mon Jun 15 20:27:41 2026 error -1 reading relation 302046926
  52. Mon Jun 15 20:27:55 2026 skipped 247 malformed relations
  53. Mon Jun 15 20:27:55 2026 found 61037969 hash collisions in 307154399 relations
  54. Mon Jun 15 20:28:36 2026 added 122216 free relations
  55. Mon Jun 15 20:28:36 2026 commencing duplicate removal, pass 2
  56. Mon Jun 15 20:40:10 2026 found 58273951 duplicates and 249002664 unique relations
  57. Mon Jun 15 20:40:10 2026 memory use: 1449.5 MB
  58. Mon Jun 15 20:40:10 2026 reading ideals above 720000
  59. Mon Jun 15 20:40:10 2026 commencing singleton removal, initial pass
  60. Mon Jun 15 21:25:06 2026 memory use: 6024.0 MB
  61. Mon Jun 15 21:25:07 2026 reading all ideals from disk
  62. Mon Jun 15 21:25:17 2026 memory use: 11909.3 MB
  63. Mon Jun 15 21:26:51 2026 keeping 240173321 ideals with weight <= 200, target excess is 1300765
  64. Mon Jun 15 21:28:35 2026 commencing in-memory singleton removal
  65. Mon Jun 15 21:28:42 2026 begin with 249002664 relations and 240173321 unique ideals
  66. Mon Jun 15 21:29:13 2026 reduce to 142743848 relations and 121617078 ideals in 16 passes
  67. Mon Jun 15 21:29:13 2026 max relations containing the same ideal: 146
  68. Mon Jun 15 21:31:31 2026 removing 12822212 relations and 10822212 ideals in 2000000 cliques
  69. Mon Jun 15 21:31:41 2026 commencing in-memory singleton removal
  70. Mon Jun 15 21:31:46 2026 begin with 129921636 relations and 121617078 unique ideals
  71. Mon Jun 15 21:31:59 2026 reduce to 129003378 relations and 109859747 ideals in 10 passes
  72. Mon Jun 15 21:31:59 2026 max relations containing the same ideal: 137
  73. Mon Jun 15 21:34:02 2026 removing 9782588 relations and 7782588 ideals in 2000000 cliques
  74. Mon Jun 15 21:34:10 2026 commencing in-memory singleton removal
  75. Mon Jun 15 21:34:13 2026 begin with 119220790 relations and 109859747 unique ideals
  76. Mon Jun 15 21:34:22 2026 reduce to 118604122 relations and 101450560 ideals in 8 passes
  77. Mon Jun 15 21:34:22 2026 max relations containing the same ideal: 130
  78. Mon Jun 15 21:36:15 2026 removing 8875718 relations and 6875718 ideals in 2000000 cliques
  79. Mon Jun 15 21:36:23 2026 commencing in-memory singleton removal
  80. Mon Jun 15 21:36:26 2026 begin with 109728404 relations and 101450560 unique ideals
  81. Mon Jun 15 21:36:36 2026 reduce to 109171649 relations and 94008858 ideals in 9 passes
  82. Mon Jun 15 21:36:36 2026 max relations containing the same ideal: 124
  83. Mon Jun 15 21:38:24 2026 removing 8420860 relations and 6420861 ideals in 2000000 cliques
  84. Mon Jun 15 21:38:31 2026 commencing in-memory singleton removal
  85. Mon Jun 15 21:38:34 2026 begin with 100750789 relations and 94008858 unique ideals
  86. Mon Jun 15 21:38:42 2026 reduce to 100206167 relations and 87034239 ideals in 9 passes
  87. Mon Jun 15 21:38:42 2026 max relations containing the same ideal: 120
  88. Mon Jun 15 21:40:20 2026 removing 8162269 relations and 6162269 ideals in 2000000 cliques
  89. Mon Jun 15 21:40:27 2026 commencing in-memory singleton removal
  90. Mon Jun 15 21:40:30 2026 begin with 92043898 relations and 87034239 unique ideals
  91. Mon Jun 15 21:40:38 2026 reduce to 91486420 relations and 80304565 ideals in 9 passes
  92. Mon Jun 15 21:40:38 2026 max relations containing the same ideal: 110
  93. Mon Jun 15 21:42:11 2026 removing 8020198 relations and 6020198 ideals in 2000000 cliques
  94. Mon Jun 15 21:42:17 2026 commencing in-memory singleton removal
  95. Mon Jun 15 21:42:19 2026 begin with 83466222 relations and 80304565 unique ideals
  96. Mon Jun 15 21:42:26 2026 reduce to 82879777 relations and 73686679 ideals in 8 passes
  97. Mon Jun 15 21:42:26 2026 max relations containing the same ideal: 101
  98. Mon Jun 15 21:43:50 2026 removing 7956651 relations and 5956651 ideals in 2000000 cliques
  99. Mon Jun 15 21:43:55 2026 commencing in-memory singleton removal
  100. Mon Jun 15 21:43:57 2026 begin with 74923126 relations and 73686679 unique ideals
  101. Mon Jun 15 21:44:03 2026 reduce to 74285813 relations and 67079096 ideals in 8 passes
  102. Mon Jun 15 21:44:03 2026 max relations containing the same ideal: 93
  103. Mon Jun 15 21:45:19 2026 removing 7959615 relations and 5959615 ideals in 2000000 cliques
  104. Mon Jun 15 21:45:25 2026 commencing in-memory singleton removal
  105. Mon Jun 15 21:45:26 2026 begin with 66326198 relations and 67079096 unique ideals
  106. Mon Jun 15 21:45:31 2026 reduce to 65609608 relations and 60386129 ideals in 8 passes
  107. Mon Jun 15 21:45:31 2026 max relations containing the same ideal: 87
  108. Mon Jun 15 21:46:38 2026 removing 8034712 relations and 6034712 ideals in 2000000 cliques
  109. Mon Jun 15 21:46:44 2026 commencing in-memory singleton removal
  110. Mon Jun 15 21:46:45 2026 begin with 57574896 relations and 60386129 unique ideals
  111. Mon Jun 15 21:46:50 2026 reduce to 56733179 relations and 53487264 ideals in 9 passes
  112. Mon Jun 15 21:46:50 2026 max relations containing the same ideal: 78
  113. Mon Jun 15 21:47:47 2026 removing 7334741 relations and 5597714 ideals in 1737027 cliques
  114. Mon Jun 15 21:47:51 2026 commencing in-memory singleton removal
  115. Mon Jun 15 21:47:52 2026 begin with 49398438 relations and 53487264 unique ideals
  116. Mon Jun 15 21:47:56 2026 reduce to 48577886 relations and 47047179 ideals in 9 passes
  117. Mon Jun 15 21:47:56 2026 max relations containing the same ideal: 72
  118. Mon Jun 15 21:49:00 2026 removing 206459 relations and 184640 ideals in 21819 cliques
  119. Mon Jun 15 21:49:03 2026 commencing in-memory singleton removal
  120. Mon Jun 15 21:49:04 2026 begin with 48371427 relations and 47047179 unique ideals
  121. Mon Jun 15 21:49:07 2026 reduce to 48370877 relations and 46861986 ideals in 5 passes
  122. Mon Jun 15 21:49:07 2026 max relations containing the same ideal: 72
  123. Mon Jun 15 21:49:16 2026 relations with 0 large ideals: 4680
  124. Mon Jun 15 21:49:16 2026 relations with 1 large ideals: 28463
  125. Mon Jun 15 21:49:16 2026 relations with 2 large ideals: 389346
  126. Mon Jun 15 21:49:16 2026 relations with 3 large ideals: 2234110
  127. Mon Jun 15 21:49:16 2026 relations with 4 large ideals: 6840442
  128. Mon Jun 15 21:49:16 2026 relations with 5 large ideals: 12278181
  129. Mon Jun 15 21:49:16 2026 relations with 6 large ideals: 13400548
  130. Mon Jun 15 21:49:16 2026 relations with 7+ large ideals: 13195107
  131. Mon Jun 15 21:49:16 2026 commencing 2-way merge
  132. Mon Jun 15 21:50:22 2026 reduce to 29199648 relation sets and 27690757 unique ideals
  133. Mon Jun 15 21:50:22 2026 commencing full merge
  134. Mon Jun 15 22:09:10 2026 memory use: 3166.1 MB
  135. Mon Jun 15 22:09:15 2026 found 12267418 cycles, need 12248957
  136. Mon Jun 15 22:09:21 2026 weight of 12248957 cycles is about 1592931543 (130.05/cycle)
  137. Mon Jun 15 22:09:21 2026 distribution of cycle lengths:
  138. Mon Jun 15 22:09:21 2026 1 relations: 874003
  139. Mon Jun 15 22:09:21 2026 2 relations: 777033
  140. Mon Jun 15 22:09:21 2026 3 relations: 800970
  141. Mon Jun 15 22:09:21 2026 4 relations: 797687
  142. Mon Jun 15 22:09:21 2026 5 relations: 809855
  143. Mon Jun 15 22:09:21 2026 6 relations: 787058
  144. Mon Jun 15 22:09:21 2026 7 relations: 783824
  145. Mon Jun 15 22:09:21 2026 8 relations: 746322
  146. Mon Jun 15 22:09:21 2026 9 relations: 716609
  147. Mon Jun 15 22:09:21 2026 10+ relations: 5155596
  148. Mon Jun 15 22:09:21 2026 heaviest cycle: 28 relations
  149. Mon Jun 15 22:09:28 2026 commencing cycle optimization
  150. Mon Jun 15 22:09:57 2026 start with 112392758 relations
  151. Mon Jun 15 22:15:51 2026 pruned 4593979 relations
  152. Mon Jun 15 22:15:52 2026 memory use: 3100.4 MB
  153. Mon Jun 15 22:15:52 2026 distribution of cycle lengths:
  154. Mon Jun 15 22:15:52 2026 1 relations: 874003
  155. Mon Jun 15 22:15:52 2026 2 relations: 797619
  156. Mon Jun 15 22:15:52 2026 3 relations: 832230
  157. Mon Jun 15 22:15:52 2026 4 relations: 827748
  158. Mon Jun 15 22:15:52 2026 5 relations: 844453
  159. Mon Jun 15 22:15:52 2026 6 relations: 821211
  160. Mon Jun 15 22:15:52 2026 7 relations: 818734
  161. Mon Jun 15 22:15:52 2026 8 relations: 777557
  162. Mon Jun 15 22:15:52 2026 9 relations: 744777
  163. Mon Jun 15 22:15:52 2026 10+ relations: 4910625
  164. Mon Jun 15 22:15:52 2026 heaviest cycle: 28 relations
  165. Mon Jun 15 22:16:32 2026 RelProcTime: 7334
  166. Mon Jun 15 22:16:32 2026
  167. Mon Jun 15 22:16:32 2026 commencing linear algebra
  168. Mon Jun 15 22:16:32 2026 using VBITS=256
  169. Mon Jun 15 22:16:32 2026 stopping after matrix build
  170. Mon Jun 15 22:16:32 2026 initialized process (0,0) of 1 x 1 grid
  171. Mon Jun 15 22:16:33 2026 read 12248957 cycles
  172. Mon Jun 15 22:17:16 2026 cycles contain 47267292 unique relations
  173. Mon Jun 15 22:22:32 2026 read 47267292 relations
  174. Mon Jun 15 22:22:39 2026 using 20 quadratic characters above 4294917295
  175. Mon Jun 15 22:22:46 2026 building initial matrix
  176. Mon Jun 15 22:35:07 2026 memory use: 6368.8 MB
  177. Mon Jun 15 22:35:17 2026 read 12248957 cycles
  178. Mon Jun 15 22:35:19 2026 matrix is 12248780 x 12248957 (6166.6 MB) with weight 1863693230 (152.15/col)
  179. Mon Jun 15 22:35:19 2026 sparse part has weight 1481804927 (120.97/col)
  180. Mon Jun 15 22:42:20 2026 filtering completed in 2 passes
  181. Mon Jun 15 22:42:22 2026 matrix is 12248332 x 12248509 (6166.6 MB) with weight 1863673516 (152.16/col)
  182. Mon Jun 15 22:42:22 2026 sparse part has weight 1481800193 (120.98/col)
  183. Mon Jun 15 22:43:34 2026 BLanczosTime: 1622
  184. Mon Jun 15 22:43:34 2026 elapsed time 02:29:18
  185. Mon Jun 15 23:09:46 2026
  186. Mon Jun 15 23:09:46 2026
  187. Mon Jun 15 23:09:46 2026 Msieve v. 1.54 (SVN Unversioned directory)
  188. Mon Jun 15 23:09:46 2026 random seeds: 82152ff0 721056b3
  189. Mon Jun 15 23:09:46 2026 MPI process 0 of 1
  190. Mon Jun 15 23:09:46 2026 Using 64 OpenMP threads
  191. Mon Jun 15 23:09:46 2026 factoring 68787614550235146089566129249116430460840933519393663977760230681460287187163257971680881629537720798886792818011094550943057703100947107307564941063113164327087929958433444089 (176 digits)
  192. Mon Jun 15 23:09:47 2026 searching for 15-digit factors
  193. Mon Jun 15 23:09:48 2026 commencing number field sieve (176-digit input)
  194. Mon Jun 15 23:09:48 2026 R0: -935927745762332074991981594423413
  195. Mon Jun 15 23:09:48 2026 R1: 724229356009410136803414799
  196. Mon Jun 15 23:09:48 2026 A0: 266880407486078065704600475079265597254400
  197. Mon Jun 15 23:09:48 2026 A1: 77040565442048985905010494301801454
  198. Mon Jun 15 23:09:48 2026 A2: -10655522003933858919395506063
  199. Mon Jun 15 23:09:48 2026 A3: -1680166816997756697128
  200. Mon Jun 15 23:09:48 2026 A4: 79127393051244
  201. Mon Jun 15 23:09:48 2026 A5: 1958880
  202. Mon Jun 15 23:09:48 2026 skew 7439082.27, size 3.962e-17, alpha -6.943, combined = 1.669e-13 rroots = 5
  203. Mon Jun 15 23:09:48 2026
  204. Mon Jun 15 23:09:48 2026 commencing linear algebra
  205. Mon Jun 15 23:09:48 2026 using VBITS=256
  206. Mon Jun 15 23:09:48 2026 skipping matrix build
  207. Mon Jun 15 23:09:48 2026 initialized process (0,0) of 1 x 1 grid
  208. Mon Jun 15 23:09:54 2026 matrix starts at (0, 0)
  209. Mon Jun 15 23:09:56 2026 matrix is 12248332 x 12248509 (6166.6 MB) with weight 1863673516 (152.16/col)
  210. Mon Jun 15 23:09:56 2026 sparse part has weight 1481800193 (120.98/col)
  211. Mon Jun 15 23:09:56 2026 saving the first 240 matrix rows for later
  212. Mon Jun 15 23:09:58 2026 matrix includes 256 packed rows
  213. Mon Jun 15 23:10:02 2026 matrix is 12248092 x 12248509 (5620.5 MB) with weight 1356656256 (110.76/col)
  214. Mon Jun 15 23:10:02 2026 sparse part has weight 1277411767 (104.29/col)
  215. Mon Jun 15 23:10:02 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  216. Mon Jun 15 23:10:31 2026 commencing Lanczos iteration (64 threads)
  217. Mon Jun 15 23:10:31 2026 memory use: 7937.8 MB
  218. Mon Jun 15 23:12:15 2026 linear algebra at 0.3%, ETA 11h18m
  219. Mon Jun 15 23:14:48 2026 checking every 10000 dimensions, checkpointing every 1090000 dimensions
  220. Tue Jun 16 10:26:39 2026 lanczos halted after 47989 iterations (dim = 12248092)
  221. Tue Jun 16 10:27:17 2026 recovered 27 nontrivial dependencies
  222. Tue Jun 16 10:27:18 2026 BLanczosTime: 40650
  223. Tue Jun 16 10:27:18 2026
  224. Tue Jun 16 10:27:18 2026 commencing square root phase
  225. Tue Jun 16 10:27:18 2026 handling dependencies 1 to 64
  226. Tue Jun 16 10:27:18 2026 reading relations for dependency 1
  227. Tue Jun 16 10:27:19 2026 read 6120211 cycles
  228. Tue Jun 16 10:27:30 2026 cycles contain 23627222 unique relations
  229. Tue Jun 16 10:31:23 2026 read 23627222 relations
  230. Tue Jun 16 10:33:41 2026 multiplying 23627222 relations
  231. Tue Jun 16 10:38:31 2026 multiply complete, coefficients have about 1415.05 million bits
  232. Tue Jun 16 10:38:36 2026 initial square root is modulo 2226131
  233. Tue Jun 16 10:52:06 2026 GCD is N, no factor found
  234. Tue Jun 16 10:52:06 2026 reading relations for dependency 2
  235. Tue Jun 16 10:52:08 2026 read 6120474 cycles
  236. Tue Jun 16 10:52:33 2026 cycles contain 23622094 unique relations
  237. Tue Jun 16 10:57:49 2026 read 23622094 relations
  238. Tue Jun 16 11:00:22 2026 multiplying 23622094 relations
  239. Tue Jun 16 11:04:24 2026 multiply complete, coefficients have about 1414.73 million bits
  240. Tue Jun 16 11:04:30 2026 initial square root is modulo 2218807
  241. Tue Jun 16 11:19:01 2026 sqrtTime: 3103
  242. Tue Jun 16 11:19:01 2026 p84 factor: 745715397386820831720066633622174907694128205088717515131607010801149679487755768913
  243. Tue Jun 16 11:19:01 2026 p92 factor: 92243790045484774271276720999567667493988633602261221940465778806481135741367033973879590953
  244. Tue Jun 16 11:19:01 2026 elapsed time 12:09:15
  245.  
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