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May 22nd, 2025
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  1. Tue May 20 07:58:36 2025
  2. Tue May 20 07:58:36 2025
  3. Tue May 20 07:58:36 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue May 20 07:58:36 2025 random seeds: 7d6b8656 3fbe6bb1
  5. Tue May 20 07:58:36 2025 MPI process 0 of 1
  6. Tue May 20 07:58:36 2025 Using 32 OpenMP threads
  7. Tue May 20 07:58:36 2025 factoring 220058338781516324049864365259084716072503437489301087522497828939306898308144852039873639993453185798569725918416791647911120069494436952340298711570923678851257379673038984119 (177 digits)
  8. Tue May 20 07:58:37 2025 searching for 15-digit factors
  9. Tue May 20 07:58:37 2025 commencing number field sieve (177-digit input)
  10. Tue May 20 07:58:37 2025 R0: -18727832000940365920063464459979319
  11. Tue May 20 07:58:37 2025 R1: 843970431366874235515631
  12. Tue May 20 07:58:37 2025 A0: -598686258259116187706257363554245220834000
  13. Tue May 20 07:58:37 2025 A1: 276265826676611153383755041775716940
  14. Tue May 20 07:58:37 2025 A2: 3621911972163128518584902606
  15. Tue May 20 07:58:37 2025 A3: -1360907917357381843894
  16. Tue May 20 07:58:37 2025 A4: -5235069165531
  17. Tue May 20 07:58:37 2025 A5: 95760
  18. Tue May 20 07:58:37 2025 skew 37779510.21, size 3.426e-17, alpha -6.719, combined = 1.516e-13 rroots = 5
  19. Tue May 20 07:58:37 2025
  20. Tue May 20 07:58:37 2025 commencing relation filtering
  21. Tue May 20 07:58:37 2025 setting target matrix density to 130.0
  22. Tue May 20 07:58:37 2025 estimated available RAM is 257736.5 MB
  23. Tue May 20 07:58:37 2025 commencing duplicate removal, pass 1
  24. Tue May 20 08:00:05 2025 error -1 reading relation 39007309
  25. Tue May 20 08:00:07 2025 error -1 reading relation 39762873
  26. Tue May 20 08:00:12 2025 error -1 reading relation 42130082
  27. Tue May 20 08:00:21 2025 error -1 reading relation 46197999
  28. Tue May 20 08:00:24 2025 error -1 reading relation 47417591
  29. Tue May 20 08:00:44 2025 error -1 reading relation 56172154
  30. Tue May 20 08:04:05 2025 error -1 reading relation 144955662
  31. Tue May 20 08:04:27 2025 error -1 reading relation 155197551
  32. Tue May 20 08:04:59 2025 error -1 reading relation 169280833
  33. Tue May 20 08:06:36 2025 error -1 reading relation 211989408
  34. Tue May 20 08:08:39 2025 error -1 reading relation 265658272
  35. Tue May 20 08:09:20 2025 error -1 reading relation 283341433
  36. Tue May 20 08:09:45 2025 error -1 reading relation 294877153
  37. Tue May 20 08:11:14 2025 error -1 reading relation 333330752
  38. Tue May 20 08:11:36 2025 error -1 reading relation 342007937
  39. Tue May 20 08:12:10 2025 error -1 reading relation 356078050
  40. Tue May 20 08:13:06 2025 error -1 reading relation 380989568
  41. Tue May 20 08:13:09 2025 error -1 reading relation 382395453
  42. Tue May 20 08:13:10 2025 error -1 reading relation 382951649
  43. Tue May 20 08:13:13 2025 error -1 reading relation 384090345
  44. Tue May 20 08:13:20 2025 error -1 reading relation 387542806
  45. Tue May 20 08:13:23 2025 error -1 reading relation 388684630
  46. Tue May 20 08:13:25 2025 error -1 reading relation 389458809
  47. Tue May 20 08:13:25 2025 error -1 reading relation 389752685
  48. Tue May 20 08:13:31 2025 error -1 reading relation 392331637
  49. Tue May 20 08:13:32 2025 skipped 1 relations with composite factors
  50. Tue May 20 08:13:32 2025 skipped 166 malformed relations
  51. Tue May 20 08:13:32 2025 found 80505375 hash collisions in 392839535 relations
  52. Tue May 20 08:13:56 2025 added 121663 free relations
  53. Tue May 20 08:13:56 2025 commencing duplicate removal, pass 2
  54. Tue May 20 08:22:52 2025 found 83287247 duplicates and 309673951 unique relations
  55. Tue May 20 08:22:52 2025 memory use: 2643.0 MB
  56. Tue May 20 08:22:52 2025 reading ideals above 720000
  57. Tue May 20 08:22:52 2025 commencing singleton removal, initial pass
  58. Tue May 20 08:52:40 2025 memory use: 6024.0 MB
  59. Tue May 20 08:52:41 2025 reading all ideals from disk
  60. Tue May 20 08:52:50 2025 memory use: 14838.3 MB
  61. Tue May 20 08:53:45 2025 keeping 303080901 ideals with weight <= 200, target excess is 1645575
  62. Tue May 20 08:54:55 2025 commencing in-memory singleton removal
  63. Tue May 20 08:55:02 2025 begin with 309673951 relations and 303080901 unique ideals
  64. Tue May 20 08:55:36 2025 reduce to 167366348 relations and 143249144 ideals in 19 passes
  65. Tue May 20 08:55:36 2025 max relations containing the same ideal: 141
  66. Tue May 20 08:57:23 2025 removing 13937253 relations and 11937253 ideals in 2000000 cliques
  67. Tue May 20 08:57:30 2025 commencing in-memory singleton removal
  68. Tue May 20 08:57:34 2025 begin with 153429095 relations and 143249144 unique ideals
  69. Tue May 20 08:57:46 2025 reduce to 152530253 relations and 130398910 ideals in 8 passes
  70. Tue May 20 08:57:46 2025 max relations containing the same ideal: 132
  71. Tue May 20 08:59:19 2025 removing 10515705 relations and 8515705 ideals in 2000000 cliques
  72. Tue May 20 08:59:25 2025 commencing in-memory singleton removal
  73. Tue May 20 08:59:29 2025 begin with 142014548 relations and 130398910 unique ideals
  74. Tue May 20 08:59:41 2025 reduce to 141425204 relations and 121285933 ideals in 9 passes
  75. Tue May 20 08:59:41 2025 max relations containing the same ideal: 127
  76. Tue May 20 09:01:01 2025 removing 9474337 relations and 7474337 ideals in 2000000 cliques
  77. Tue May 20 09:01:08 2025 commencing in-memory singleton removal
  78. Tue May 20 09:01:11 2025 begin with 131950867 relations and 121285933 unique ideals
  79. Tue May 20 09:01:20 2025 reduce to 131430461 relations and 113284132 ideals in 8 passes
  80. Tue May 20 09:01:20 2025 max relations containing the same ideal: 120
  81. Tue May 20 09:02:32 2025 removing 8933674 relations and 6933674 ideals in 2000000 cliques
  82. Tue May 20 09:02:38 2025 commencing in-memory singleton removal
  83. Tue May 20 09:02:40 2025 begin with 122496787 relations and 113284132 unique ideals
  84. Tue May 20 09:02:49 2025 reduce to 121997569 relations and 105844241 ideals in 9 passes
  85. Tue May 20 09:02:49 2025 max relations containing the same ideal: 114
  86. Tue May 20 09:03:58 2025 removing 8605734 relations and 6605734 ideals in 2000000 cliques
  87. Tue May 20 09:04:04 2025 commencing in-memory singleton removal
  88. Tue May 20 09:04:06 2025 begin with 113391835 relations and 105844241 unique ideals
  89. Tue May 20 09:04:15 2025 reduce to 112891284 relations and 98730617 ideals in 10 passes
  90. Tue May 20 09:04:15 2025 max relations containing the same ideal: 110
  91. Tue May 20 09:05:18 2025 removing 8402627 relations and 6402627 ideals in 2000000 cliques
  92. Tue May 20 09:05:22 2025 commencing in-memory singleton removal
  93. Tue May 20 09:05:25 2025 begin with 104488657 relations and 98730617 unique ideals
  94. Tue May 20 09:05:32 2025 reduce to 103974517 relations and 91805729 ideals in 8 passes
  95. Tue May 20 09:05:32 2025 max relations containing the same ideal: 104
  96. Tue May 20 09:06:32 2025 removing 8283371 relations and 6283372 ideals in 2000000 cliques
  97. Tue May 20 09:06:37 2025 commencing in-memory singleton removal
  98. Tue May 20 09:06:39 2025 begin with 95691146 relations and 91805729 unique ideals
  99. Tue May 20 09:06:46 2025 reduce to 95148738 relations and 84970728 ideals in 8 passes
  100. Tue May 20 09:06:46 2025 max relations containing the same ideal: 98
  101. Tue May 20 09:07:42 2025 removing 8225709 relations and 6225709 ideals in 2000000 cliques
  102. Tue May 20 09:07:47 2025 commencing in-memory singleton removal
  103. Tue May 20 09:07:49 2025 begin with 86923029 relations and 84970728 unique ideals
  104. Tue May 20 09:07:55 2025 reduce to 86333785 relations and 78145041 ideals in 8 passes
  105. Tue May 20 09:07:55 2025 max relations containing the same ideal: 92
  106. Tue May 20 09:08:44 2025 removing 8227905 relations and 6227905 ideals in 2000000 cliques
  107. Tue May 20 09:08:48 2025 commencing in-memory singleton removal
  108. Tue May 20 09:08:50 2025 begin with 78105880 relations and 78145041 unique ideals
  109. Tue May 20 09:08:56 2025 reduce to 77450127 relations and 71248144 ideals in 8 passes
  110. Tue May 20 09:08:56 2025 max relations containing the same ideal: 87
  111. Tue May 20 09:09:40 2025 removing 8291500 relations and 6291500 ideals in 2000000 cliques
  112. Tue May 20 09:09:44 2025 commencing in-memory singleton removal
  113. Tue May 20 09:09:46 2025 begin with 69158627 relations and 71248144 unique ideals
  114. Tue May 20 09:09:51 2025 reduce to 68404033 relations and 64185377 ideals in 9 passes
  115. Tue May 20 09:09:51 2025 max relations containing the same ideal: 79
  116. Tue May 20 09:10:33 2025 removing 8419342 relations and 6419342 ideals in 2000000 cliques
  117. Tue May 20 09:10:36 2025 commencing in-memory singleton removal
  118. Tue May 20 09:10:37 2025 begin with 59984691 relations and 64185377 unique ideals
  119. Tue May 20 09:10:42 2025 reduce to 59071464 relations and 56829879 ideals in 9 passes
  120. Tue May 20 09:10:42 2025 max relations containing the same ideal: 71
  121. Tue May 20 09:11:16 2025 removing 2108077 relations and 1775359 ideals in 332718 cliques
  122. Tue May 20 09:11:19 2025 commencing in-memory singleton removal
  123. Tue May 20 09:11:20 2025 begin with 56963387 relations and 56829879 unique ideals
  124. Tue May 20 09:11:23 2025 reduce to 56906480 relations and 54997314 ideals in 7 passes
  125. Tue May 20 09:11:23 2025 max relations containing the same ideal: 67
  126. Tue May 20 09:12:04 2025 relations with 0 large ideals: 6359
  127. Tue May 20 09:12:04 2025 relations with 1 large ideals: 61082
  128. Tue May 20 09:12:04 2025 relations with 2 large ideals: 651813
  129. Tue May 20 09:12:04 2025 relations with 3 large ideals: 3304353
  130. Tue May 20 09:12:04 2025 relations with 4 large ideals: 9213550
  131. Tue May 20 09:12:04 2025 relations with 5 large ideals: 15209370
  132. Tue May 20 09:12:04 2025 relations with 6 large ideals: 15285964
  133. Tue May 20 09:12:04 2025 relations with 7+ large ideals: 13173989
  134. Tue May 20 09:12:04 2025 commencing 2-way merge
  135. Tue May 20 09:12:48 2025 reduce to 34251595 relation sets and 32342429 unique ideals
  136. Tue May 20 09:12:48 2025 commencing full merge
  137. Tue May 20 09:23:49 2025 memory use: 3500.4 MB
  138. Tue May 20 09:23:51 2025 found 14320963 cycles, need 14246629
  139. Tue May 20 09:23:55 2025 weight of 14246629 cycles is about 1852588827 (130.04/cycle)
  140. Tue May 20 09:23:55 2025 distribution of cycle lengths:
  141. Tue May 20 09:23:55 2025 1 relations: 960399
  142. Tue May 20 09:23:55 2025 2 relations: 867618
  143. Tue May 20 09:23:55 2025 3 relations: 923171
  144. Tue May 20 09:23:55 2025 4 relations: 924143
  145. Tue May 20 09:23:55 2025 5 relations: 943293
  146. Tue May 20 09:23:55 2025 6 relations: 914590
  147. Tue May 20 09:23:55 2025 7 relations: 910782
  148. Tue May 20 09:23:55 2025 8 relations: 865036
  149. Tue May 20 09:23:55 2025 9 relations: 833200
  150. Tue May 20 09:23:55 2025 10+ relations: 6104397
  151. Tue May 20 09:23:55 2025 heaviest cycle: 28 relations
  152. Tue May 20 09:23:58 2025 commencing cycle optimization
  153. Tue May 20 09:24:25 2025 start with 131652660 relations
  154. Tue May 20 09:28:25 2025 pruned 5192483 relations
  155. Tue May 20 09:28:25 2025 memory use: 3644.6 MB
  156. Tue May 20 09:28:25 2025 distribution of cycle lengths:
  157. Tue May 20 09:28:25 2025 1 relations: 960399
  158. Tue May 20 09:28:25 2025 2 relations: 890793
  159. Tue May 20 09:28:25 2025 3 relations: 959367
  160. Tue May 20 09:28:25 2025 4 relations: 959007
  161. Tue May 20 09:28:25 2025 5 relations: 983567
  162. Tue May 20 09:28:25 2025 6 relations: 952390
  163. Tue May 20 09:28:25 2025 7 relations: 948985
  164. Tue May 20 09:28:25 2025 8 relations: 900422
  165. Tue May 20 09:28:25 2025 9 relations: 865303
  166. Tue May 20 09:28:25 2025 10+ relations: 5826396
  167. Tue May 20 09:28:25 2025 heaviest cycle: 28 relations
  168. Tue May 20 09:28:44 2025 RelProcTime: 5407
  169. Tue May 20 09:28:45 2025
  170. Tue May 20 09:28:45 2025 commencing linear algebra
  171. Tue May 20 09:28:45 2025 using VBITS=256
  172. Tue May 20 09:28:45 2025 stopping after matrix build
  173. Tue May 20 09:28:45 2025 initialized process (0,0) of 1 x 1 grid
  174. Tue May 20 09:28:46 2025 read 14246629 cycles
  175. Tue May 20 09:29:12 2025 cycles contain 55625222 unique relations
  176. Tue May 20 09:34:56 2025 read 55625222 relations
  177. Tue May 20 09:35:04 2025 using 20 quadratic characters above 4294917295
  178. Tue May 20 09:35:12 2025 building initial matrix
  179. Tue May 20 09:44:48 2025 memory use: 7505.6 MB
  180. Tue May 20 09:44:58 2025 read 14246629 cycles
  181. Tue May 20 09:45:00 2025 matrix is 14246451 x 14246629 (7227.4 MB) with weight 2177278406 (152.83/col)
  182. Tue May 20 09:45:00 2025 sparse part has weight 1723660478 (120.99/col)
  183. Tue May 20 09:48:00 2025 filtering completed in 2 passes
  184. Tue May 20 09:48:03 2025 matrix is 14245265 x 14245440 (7227.3 MB) with weight 2177219653 (152.84/col)
  185. Tue May 20 09:48:03 2025 sparse part has weight 1723642207 (121.00/col)
  186. Tue May 20 09:49:25 2025 BLanczosTime: 1240
  187. Tue May 20 09:49:25 2025 elapsed time 01:50:49
  188. Wed May 21 14:09:38 2025
  189. Wed May 21 14:09:38 2025
  190. Wed May 21 14:09:38 2025 Msieve v. 1.54 (SVN Unversioned directory)
  191. Wed May 21 14:09:38 2025 random seeds: 6aea2768 cff61b5a
  192. Wed May 21 14:09:38 2025 Using 96 OpenMP threads
  193. Wed May 21 14:09:38 2025 factoring 220058338781516324049864365259084716072503437489301087522497828939306898308144852039873639993453185798569725918416791647911120069494436952340298711570923678851257379673038984119 (177 digits)
  194. Wed May 21 14:09:39 2025 searching for 15-digit factors
  195. Wed May 21 14:09:39 2025 commencing number field sieve (177-digit input)
  196. Wed May 21 14:09:39 2025 R0: -18727832000940365920063464459979319
  197. Wed May 21 14:09:39 2025 R1: 843970431366874235515631
  198. Wed May 21 14:09:39 2025 A0: -598686258259116187706257363554245220834000
  199. Wed May 21 14:09:39 2025 A1: 276265826676611153383755041775716940
  200. Wed May 21 14:09:39 2025 A2: 3621911972163128518584902606
  201. Wed May 21 14:09:39 2025 A3: -1360907917357381843894
  202. Wed May 21 14:09:39 2025 A4: -5235069165531
  203. Wed May 21 14:09:39 2025 A5: 95760
  204. Wed May 21 14:09:39 2025 skew 37779510.21, size 3.426e-17, alpha -6.719, combined = 1.516e-13 rroots = 5
  205. Wed May 21 14:09:39 2025
  206. Wed May 21 14:09:39 2025 commencing linear algebra
  207. Wed May 21 14:09:39 2025 using VBITS=256
  208. Wed May 21 14:09:39 2025 skipping matrix build
  209. Wed May 21 14:09:44 2025 matrix starts at (0, 0)
  210. Wed May 21 14:09:46 2025 matrix is 14245265 x 14245440 (7227.3 MB) with weight 2177219653 (152.84/col)
  211. Wed May 21 14:09:46 2025 sparse part has weight 1723642207 (121.00/col)
  212. Wed May 21 14:09:46 2025 saving the first 240 matrix rows for later
  213. Wed May 21 14:09:50 2025 matrix includes 256 packed rows
  214. Wed May 21 14:09:55 2025 matrix is 14245025 x 14245440 (6552.5 MB) with weight 1586313901 (111.36/col)
  215. Wed May 21 14:09:55 2025 sparse part has weight 1489765928 (104.58/col)
  216. Wed May 21 14:09:55 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  217. Wed May 21 14:10:34 2025 commencing Lanczos iteration (96 threads)
  218. Wed May 21 14:10:34 2025 memory use: 8817.4 MB
  219. Wed May 21 14:12:47 2025 linear algebra at 0.2%, ETA 16h30m
  220. Wed May 21 14:15:21 2025 checking every 10000 dimensions, checkpointing every 990000 dimensions
  221. Thu May 22 03:21:36 2025 lanczos halted after 55812 iterations (dim = 14245025)
  222. Thu May 22 03:22:46 2025 recovered 28 nontrivial dependencies
  223. Thu May 22 03:22:49 2025 BLanczosTime: 47590
  224. Thu May 22 03:22:49 2025
  225. Thu May 22 03:22:49 2025 commencing square root phase
  226. Thu May 22 03:22:49 2025 handling dependencies 1 to 64
  227. Thu May 22 03:22:49 2025 reading relations for dependency 1
  228. Thu May 22 03:22:51 2025 read 7120882 cycles
  229. Thu May 22 03:23:17 2025 cycles contain 27809284 unique relations
  230. Thu May 22 03:31:04 2025 read 27809284 relations
  231. Thu May 22 03:34:20 2025 multiplying 27809284 relations
  232. Thu May 22 04:00:03 2025 multiply complete, coefficients have about 1550.54 million bits
  233. Thu May 22 04:00:11 2025 initial square root is modulo 9021553
  234. Thu May 22 04:17:08 2025 sqrtTime: 3259
  235. Thu May 22 04:17:08 2025 p73 factor: 2045798151779142360891372166928916048325796569355429971677058986406516231
  236. Thu May 22 04:17:08 2025 p105 factor: 107566007228103654311349155561686573955470928700920138918077426332576739380987351150307225778619254384849
  237. Thu May 22 04:17:08 2025 elapsed time 14:07:30
  238.  
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