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Oct 27th, 2025
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  1. Sat Oct 25 00:00:25 2025
  2. Sat Oct 25 00:00:25 2025
  3. Sat Oct 25 00:00:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Oct 25 00:00:25 2025 random seeds: 485860aa ab03597c
  5. Sat Oct 25 00:00:25 2025 MPI process 0 of 1
  6. Sat Oct 25 00:00:25 2025 Using 32 OpenMP threads
  7. Sat Oct 25 00:00:25 2025 factoring 5763777073908740044752974837763486089395257131575727138244306324987963714880647923685764525591995607693491527402420989143710989467394945988365008580911616579987 (160 digits)
  8. Sat Oct 25 00:00:26 2025 searching for 15-digit factors
  9. Sat Oct 25 00:00:26 2025 commencing number field sieve (160-digit input)
  10. Sat Oct 25 00:00:26 2025 R0: -6438015565969737014356308159252
  11. Sat Oct 25 00:00:26 2025 R1: 1266633856456023497287729
  12. Sat Oct 25 00:00:26 2025 A0: 1235627012019556377922430959555125261
  13. Sat Oct 25 00:00:26 2025 A1: -13330054858415121653581800111305
  14. Sat Oct 25 00:00:26 2025 A2: -1968896002985228640151037
  15. Sat Oct 25 00:00:26 2025 A3: 3404617699154046070
  16. Sat Oct 25 00:00:26 2025 A4: 4845870196161
  17. Sat Oct 25 00:00:26 2025 A5: 512820
  18. Sat Oct 25 00:00:26 2025 skew 1838529.68, size 1.690e-15, alpha -6.608, combined = 1.591e-12 rroots = 3
  19. Sat Oct 25 00:00:26 2025
  20. Sat Oct 25 00:00:26 2025 commencing relation filtering
  21. Sat Oct 25 00:00:26 2025 setting target matrix density to 130.0
  22. Sat Oct 25 00:00:26 2025 estimated available RAM is 257736.5 MB
  23. Sat Oct 25 00:00:26 2025 commencing duplicate removal, pass 1
  24. Sat Oct 25 00:02:00 2025 error -1 reading relation 40424983
  25. Sat Oct 25 00:03:22 2025 error -1 reading relation 74645143
  26. Sat Oct 25 00:03:40 2025 error -1 reading relation 81928999
  27. Sat Oct 25 00:04:42 2025 error -1 reading relation 106873471
  28. Sat Oct 25 00:05:16 2025 skipped 41 malformed relations
  29. Sat Oct 25 00:05:16 2025 found 19541659 hash collisions in 121104216 relations
  30. Sat Oct 25 00:05:55 2025 added 122381 free relations
  31. Sat Oct 25 00:05:55 2025 commencing duplicate removal, pass 2
  32. Sat Oct 25 00:09:48 2025 found 17176642 duplicates and 104049955 unique relations
  33. Sat Oct 25 00:09:48 2025 memory use: 660.8 MB
  34. Sat Oct 25 00:09:48 2025 reading ideals above 720000
  35. Sat Oct 25 00:09:48 2025 commencing singleton removal, initial pass
  36. Sat Oct 25 00:20:28 2025 memory use: 2756.0 MB
  37. Sat Oct 25 00:20:28 2025 reading all ideals from disk
  38. Sat Oct 25 00:20:31 2025 memory use: 4668.1 MB
  39. Sat Oct 25 00:20:51 2025 keeping 90724367 ideals with weight <= 200, target excess is 539840
  40. Sat Oct 25 00:21:16 2025 commencing in-memory singleton removal
  41. Sat Oct 25 00:21:18 2025 begin with 104049955 relations and 90724367 unique ideals
  42. Sat Oct 25 00:21:27 2025 reduce to 70447290 relations and 53928219 ideals in 13 passes
  43. Sat Oct 25 00:21:27 2025 max relations containing the same ideal: 165
  44. Sat Oct 25 00:22:21 2025 removing 8394555 relations and 6394555 ideals in 2000000 cliques
  45. Sat Oct 25 00:22:25 2025 commencing in-memory singleton removal
  46. Sat Oct 25 00:22:28 2025 begin with 62052735 relations and 53928219 unique ideals
  47. Sat Oct 25 00:22:33 2025 reduce to 61279637 relations and 46733884 ideals in 8 passes
  48. Sat Oct 25 00:22:33 2025 max relations containing the same ideal: 151
  49. Sat Oct 25 00:23:17 2025 removing 6631457 relations and 4631457 ideals in 2000000 cliques
  50. Sat Oct 25 00:23:21 2025 commencing in-memory singleton removal
  51. Sat Oct 25 00:23:23 2025 begin with 54648180 relations and 46733884 unique ideals
  52. Sat Oct 25 00:23:27 2025 reduce to 54107488 relations and 41544449 ideals in 9 passes
  53. Sat Oct 25 00:23:27 2025 max relations containing the same ideal: 139
  54. Sat Oct 25 00:24:07 2025 removing 6159933 relations and 4159933 ideals in 2000000 cliques
  55. Sat Oct 25 00:24:11 2025 commencing in-memory singleton removal
  56. Sat Oct 25 00:24:12 2025 begin with 47947555 relations and 41544449 unique ideals
  57. Sat Oct 25 00:24:14 2025 reduce to 47457507 relations and 36877922 ideals in 7 passes
  58. Sat Oct 25 00:24:14 2025 max relations containing the same ideal: 126
  59. Sat Oct 25 00:24:49 2025 removing 5928926 relations and 3928926 ideals in 2000000 cliques
  60. Sat Oct 25 00:24:53 2025 commencing in-memory singleton removal
  61. Sat Oct 25 00:24:54 2025 begin with 41528581 relations and 36877922 unique ideals
  62. Sat Oct 25 00:24:57 2025 reduce to 41042020 relations and 32444402 ideals in 8 passes
  63. Sat Oct 25 00:24:57 2025 max relations containing the same ideal: 111
  64. Sat Oct 25 00:25:23 2025 removing 5789214 relations and 3789214 ideals in 2000000 cliques
  65. Sat Oct 25 00:25:26 2025 commencing in-memory singleton removal
  66. Sat Oct 25 00:25:27 2025 begin with 35252806 relations and 32444402 unique ideals
  67. Sat Oct 25 00:25:29 2025 reduce to 34744346 relations and 28125250 ideals in 7 passes
  68. Sat Oct 25 00:25:29 2025 max relations containing the same ideal: 101
  69. Sat Oct 25 00:25:52 2025 removing 5698674 relations and 3698674 ideals in 2000000 cliques
  70. Sat Oct 25 00:25:55 2025 commencing in-memory singleton removal
  71. Sat Oct 25 00:25:56 2025 begin with 29045672 relations and 28125250 unique ideals
  72. Sat Oct 25 00:25:57 2025 reduce to 28488127 relations and 23841722 ideals in 7 passes
  73. Sat Oct 25 00:25:57 2025 max relations containing the same ideal: 90
  74. Sat Oct 25 00:26:17 2025 removing 5638415 relations and 3638415 ideals in 2000000 cliques
  75. Sat Oct 25 00:26:20 2025 commencing in-memory singleton removal
  76. Sat Oct 25 00:26:20 2025 begin with 22849712 relations and 23841722 unique ideals
  77. Sat Oct 25 00:26:21 2025 reduce to 22210789 relations and 19526939 ideals in 7 passes
  78. Sat Oct 25 00:26:21 2025 max relations containing the same ideal: 75
  79. Sat Oct 25 00:26:37 2025 removing 5577757 relations and 3577757 ideals in 2000000 cliques
  80. Sat Oct 25 00:26:39 2025 commencing in-memory singleton removal
  81. Sat Oct 25 00:26:40 2025 begin with 16633032 relations and 19526939 unique ideals
  82. Sat Oct 25 00:26:40 2025 reduce to 15845533 relations and 15101478 ideals in 8 passes
  83. Sat Oct 25 00:26:40 2025 max relations containing the same ideal: 61
  84. Sat Oct 25 00:26:51 2025 removing 568747 relations and 450907 ideals in 117840 cliques
  85. Sat Oct 25 00:26:52 2025 commencing in-memory singleton removal
  86. Sat Oct 25 00:26:52 2025 begin with 15276786 relations and 15101478 unique ideals
  87. Sat Oct 25 00:26:53 2025 reduce to 15261074 relations and 14634732 ideals in 5 passes
  88. Sat Oct 25 00:26:53 2025 max relations containing the same ideal: 60
  89. Sat Oct 25 00:27:07 2025 relations with 0 large ideals: 1799
  90. Sat Oct 25 00:27:07 2025 relations with 1 large ideals: 11956
  91. Sat Oct 25 00:27:07 2025 relations with 2 large ideals: 157299
  92. Sat Oct 25 00:27:07 2025 relations with 3 large ideals: 853178
  93. Sat Oct 25 00:27:07 2025 relations with 4 large ideals: 2422478
  94. Sat Oct 25 00:27:07 2025 relations with 5 large ideals: 3986662
  95. Sat Oct 25 00:27:07 2025 relations with 6 large ideals: 4044572
  96. Sat Oct 25 00:27:07 2025 relations with 7+ large ideals: 3783130
  97. Sat Oct 25 00:27:07 2025 commencing 2-way merge
  98. Sat Oct 25 00:27:21 2025 reduce to 10226561 relation sets and 9600219 unique ideals
  99. Sat Oct 25 00:27:21 2025 commencing full merge
  100. Sat Oct 25 00:34:18 2025 memory use: 1253.1 MB
  101. Sat Oct 25 00:34:19 2025 found 4547189 cycles, need 4510419
  102. Sat Oct 25 00:34:22 2025 weight of 4510419 cycles is about 586533539 (130.04/cycle)
  103. Sat Oct 25 00:34:22 2025 distribution of cycle lengths:
  104. Sat Oct 25 00:34:22 2025 1 relations: 81859
  105. Sat Oct 25 00:34:22 2025 2 relations: 212091
  106. Sat Oct 25 00:34:22 2025 3 relations: 283540
  107. Sat Oct 25 00:34:22 2025 4 relations: 311741
  108. Sat Oct 25 00:34:22 2025 5 relations: 334596
  109. Sat Oct 25 00:34:22 2025 6 relations: 338388
  110. Sat Oct 25 00:34:22 2025 7 relations: 339368
  111. Sat Oct 25 00:34:22 2025 8 relations: 327191
  112. Sat Oct 25 00:34:22 2025 9 relations: 309088
  113. Sat Oct 25 00:34:22 2025 10+ relations: 1972557
  114. Sat Oct 25 00:34:22 2025 heaviest cycle: 28 relations
  115. Sat Oct 25 00:34:25 2025 commencing cycle optimization
  116. Sat Oct 25 00:34:42 2025 start with 42727118 relations
  117. Sat Oct 25 00:37:41 2025 pruned 2319056 relations
  118. Sat Oct 25 00:37:41 2025 memory use: 1072.4 MB
  119. Sat Oct 25 00:37:41 2025 distribution of cycle lengths:
  120. Sat Oct 25 00:37:41 2025 1 relations: 81859
  121. Sat Oct 25 00:37:41 2025 2 relations: 218923
  122. Sat Oct 25 00:37:41 2025 3 relations: 298090
  123. Sat Oct 25 00:37:41 2025 4 relations: 328173
  124. Sat Oct 25 00:37:41 2025 5 relations: 356426
  125. Sat Oct 25 00:37:41 2025 6 relations: 359287
  126. Sat Oct 25 00:37:41 2025 7 relations: 362354
  127. Sat Oct 25 00:37:41 2025 8 relations: 347907
  128. Sat Oct 25 00:37:41 2025 9 relations: 326177
  129. Sat Oct 25 00:37:41 2025 10+ relations: 1831223
  130. Sat Oct 25 00:37:41 2025 heaviest cycle: 28 relations
  131. Sat Oct 25 00:37:54 2025 RelProcTime: 2248
  132. Sat Oct 25 00:37:54 2025
  133. Sat Oct 25 00:37:54 2025 commencing linear algebra
  134. Sat Oct 25 00:37:54 2025 using VBITS=256
  135. Sat Oct 25 00:37:54 2025 stopping after matrix build
  136. Sat Oct 25 00:37:54 2025 initialized process (0,0) of 1 x 1 grid
  137. Sat Oct 25 00:37:54 2025 read 4510419 cycles
  138. Sat Oct 25 00:38:09 2025 cycles contain 14964156 unique relations
  139. Sat Oct 25 00:40:46 2025 read 14964156 relations
  140. Sat Oct 25 00:40:48 2025 using 20 quadratic characters above 4294917295
  141. Sat Oct 25 00:40:51 2025 building initial matrix
  142. Sat Oct 25 00:47:04 2025 memory use: 2064.3 MB
  143. Sat Oct 25 00:47:11 2025 read 4510419 cycles
  144. Sat Oct 25 00:47:12 2025 matrix is 4510242 x 4510419 (2258.5 MB) with weight 691827775 (153.38/col)
  145. Sat Oct 25 00:47:12 2025 sparse part has weight 537933936 (119.26/col)
  146. Sat Oct 25 00:48:55 2025 filtering completed in 2 passes
  147. Sat Oct 25 00:48:57 2025 matrix is 4510169 x 4510345 (2258.5 MB) with weight 691823666 (153.39/col)
  148. Sat Oct 25 00:48:57 2025 sparse part has weight 537932373 (119.27/col)
  149. Sat Oct 25 00:49:35 2025 BLanczosTime: 701
  150. Sat Oct 25 00:49:35 2025 elapsed time 00:49:10
  151. Sat Oct 25 02:34:30 2025
  152. Sat Oct 25 02:34:30 2025
  153. Sat Oct 25 02:34:30 2025 Msieve v. 1.54 (SVN Unversioned directory)
  154. Sat Oct 25 02:34:30 2025 random seeds: 3c76387c 08b8d608
  155. Sat Oct 25 02:34:30 2025 MPI process 0 of 1
  156. Sat Oct 25 02:34:30 2025 Using 64 OpenMP threads
  157. Sat Oct 25 02:34:30 2025 factoring 5763777073908740044752974837763486089395257131575727138244306324987963714880647923685764525591995607693491527402420989143710989467394945988365008580911616579987 (160 digits)
  158. Sat Oct 25 02:34:30 2025 searching for 15-digit factors
  159. Sat Oct 25 02:34:31 2025 commencing number field sieve (160-digit input)
  160. Sat Oct 25 02:34:31 2025 R0: -6438015565969737014356308159252
  161. Sat Oct 25 02:34:31 2025 R1: 1266633856456023497287729
  162. Sat Oct 25 02:34:31 2025 A0: 1235627012019556377922430959555125261
  163. Sat Oct 25 02:34:31 2025 A1: -13330054858415121653581800111305
  164. Sat Oct 25 02:34:31 2025 A2: -1968896002985228640151037
  165. Sat Oct 25 02:34:31 2025 A3: 3404617699154046070
  166. Sat Oct 25 02:34:31 2025 A4: 4845870196161
  167. Sat Oct 25 02:34:31 2025 A5: 512820
  168. Sat Oct 25 02:34:31 2025 skew 1838529.68, size 1.690e-15, alpha -6.608, combined = 1.591e-12 rroots = 3
  169. Sat Oct 25 02:34:31 2025
  170. Sat Oct 25 02:34:31 2025 commencing linear algebra
  171. Sat Oct 25 02:34:31 2025 using VBITS=256
  172. Sat Oct 25 02:34:31 2025 skipping matrix build
  173. Sat Oct 25 02:34:31 2025 initialized process (0,0) of 1 x 1 grid
  174. Sat Oct 25 02:34:33 2025 matrix starts at (0, 0)
  175. Sat Oct 25 02:34:34 2025 matrix is 4510169 x 4510345 (2258.5 MB) with weight 691823666 (153.39/col)
  176. Sat Oct 25 02:34:34 2025 sparse part has weight 537932373 (119.27/col)
  177. Sat Oct 25 02:34:34 2025 saving the first 240 matrix rows for later
  178. Sat Oct 25 02:34:35 2025 matrix includes 256 packed rows
  179. Sat Oct 25 02:34:36 2025 matrix is 4509929 x 4510345 (2026.2 MB) with weight 491072405 (108.88/col)
  180. Sat Oct 25 02:34:36 2025 sparse part has weight 458977970 (101.76/col)
  181. Sat Oct 25 02:34:36 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  182. Sat Oct 25 02:34:47 2025 commencing Lanczos iteration (64 threads)
  183. Sat Oct 25 02:34:47 2025 memory use: 2861.2 MB
  184. Sat Oct 25 02:35:22 2025 linear algebra at 0.7%, ETA 1h25m
  185. Sat Oct 25 02:36:15 2025 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  186. Sat Oct 25 03:58:42 2025 lanczos halted after 17671 iterations (dim = 4509929)
  187. Sat Oct 25 03:58:56 2025 recovered 34 nontrivial dependencies
  188. Sat Oct 25 03:58:57 2025 BLanczosTime: 5066
  189. Sat Oct 25 03:58:57 2025
  190. Sat Oct 25 03:58:57 2025 commencing square root phase
  191. Sat Oct 25 03:58:57 2025 handling dependencies 1 to 64
  192. Sat Oct 25 03:58:57 2025 reading relations for dependency 1
  193. Sat Oct 25 03:58:57 2025 read 2254188 cycles
  194. Sat Oct 25 03:59:00 2025 cycles contain 7479106 unique relations
  195. Sat Oct 25 04:00:36 2025 read 7479106 relations
  196. Sat Oct 25 04:01:00 2025 multiplying 7479106 relations
  197. Sat Oct 25 04:01:42 2025 multiply complete, coefficients have about 412.93 million bits
  198. Sat Oct 25 04:01:44 2025 initial square root is modulo 25661611
  199. Sat Oct 25 04:06:29 2025 GCD is N, no factor found
  200. Sat Oct 25 04:06:29 2025 reading relations for dependency 2
  201. Sat Oct 25 04:06:30 2025 read 2255374 cycles
  202. Sat Oct 25 04:06:38 2025 cycles contain 7480980 unique relations
  203. Sat Oct 25 04:09:14 2025 read 7480980 relations
  204. Sat Oct 25 04:10:13 2025 multiplying 7480980 relations
  205. Sat Oct 25 04:11:41 2025 multiply complete, coefficients have about 413.04 million bits
  206. Sat Oct 25 04:11:43 2025 initial square root is modulo 25776349
  207. Sat Oct 25 04:16:27 2025 sqrtTime: 1050
  208. Sat Oct 25 04:16:27 2025 p59 factor: 19376242895899141446171399687988119705710179165445349875309
  209. Sat Oct 25 04:16:27 2025 p102 factor: 297466186033857306682746441830351387967877240003132771668351876576468464606999461775002435341429561343
  210. Sat Oct 25 04:16:27 2025 elapsed time 01:41:57
  211.  
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