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Oct 13th, 2025
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  1. Mon Oct 13 07:36:35 2025
  2. Mon Oct 13 07:36:35 2025
  3. Mon Oct 13 07:36:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Oct 13 07:36:35 2025 random seeds: 425cb132 add0a857
  5. Mon Oct 13 07:36:35 2025 MPI process 0 of 1
  6. Mon Oct 13 07:36:35 2025 Using 32 OpenMP threads
  7. Mon Oct 13 07:36:35 2025 factoring 3454285742951684687988998385441341677983632232970475016529228990069652046286500154573192384379701016699617617648640342769462322595767494498561882190047758887319 (160 digits)
  8. Mon Oct 13 07:36:36 2025 searching for 15-digit factors
  9. Mon Oct 13 07:36:36 2025 commencing number field sieve (160-digit input)
  10. Mon Oct 13 07:36:36 2025 R0: -7960686342374263828690501718378
  11. Mon Oct 13 07:36:36 2025 R1: 823131445676421182827019
  12. Mon Oct 13 07:36:36 2025 A0: 6140433239795472685932302735954397903
  13. Mon Oct 13 07:36:36 2025 A1: 8871912890912754651257128285134
  14. Mon Oct 13 07:36:36 2025 A2: -17782213304240640154956929
  15. Mon Oct 13 07:36:36 2025 A3: -6612491815972312378
  16. Mon Oct 13 07:36:36 2025 A4: 2864851945362
  17. Mon Oct 13 07:36:36 2025 A5: 117180
  18. Mon Oct 13 07:36:36 2025 skew 2476819.50, size 1.704e-15, alpha -6.175, combined = 1.592e-12 rroots = 5
  19. Mon Oct 13 07:36:36 2025
  20. Mon Oct 13 07:36:36 2025 commencing relation filtering
  21. Mon Oct 13 07:36:36 2025 setting target matrix density to 130.0
  22. Mon Oct 13 07:36:36 2025 estimated available RAM is 257736.5 MB
  23. Mon Oct 13 07:36:36 2025 commencing duplicate removal, pass 1
  24. Mon Oct 13 07:39:59 2025 error -1 reading relation 84711381
  25. Mon Oct 13 07:40:37 2025 error -1 reading relation 99563712
  26. Mon Oct 13 07:40:58 2025 error -1 reading relation 108145284
  27. Mon Oct 13 07:41:05 2025 error -1 reading relation 111256435
  28. Mon Oct 13 07:41:08 2025 error -1 reading relation 112807298
  29. Mon Oct 13 07:41:08 2025 error -1 reading relation 112873741
  30. Mon Oct 13 07:41:10 2025 error -1 reading relation 113486969
  31. Mon Oct 13 07:41:28 2025 skipped 85 malformed relations
  32. Mon Oct 13 07:41:28 2025 found 19733166 hash collisions in 121398088 relations
  33. Mon Oct 13 07:42:06 2025 added 122367 free relations
  34. Mon Oct 13 07:42:06 2025 commencing duplicate removal, pass 2
  35. Mon Oct 13 07:45:59 2025 found 17466407 duplicates and 104054048 unique relations
  36. Mon Oct 13 07:45:59 2025 memory use: 660.8 MB
  37. Mon Oct 13 07:45:59 2025 reading ideals above 720000
  38. Mon Oct 13 07:45:59 2025 commencing singleton removal, initial pass
  39. Mon Oct 13 07:53:42 2025 memory use: 2756.0 MB
  40. Mon Oct 13 07:53:42 2025 reading all ideals from disk
  41. Mon Oct 13 07:53:45 2025 memory use: 4664.1 MB
  42. Mon Oct 13 07:54:00 2025 keeping 90710970 ideals with weight <= 200, target excess is 538407
  43. Mon Oct 13 07:54:19 2025 commencing in-memory singleton removal
  44. Mon Oct 13 07:54:21 2025 begin with 104054048 relations and 90710970 unique ideals
  45. Mon Oct 13 07:54:29 2025 reduce to 70436589 relations and 53900368 ideals in 11 passes
  46. Mon Oct 13 07:54:29 2025 max relations containing the same ideal: 169
  47. Mon Oct 13 07:55:10 2025 removing 8391616 relations and 6391616 ideals in 2000000 cliques
  48. Mon Oct 13 07:55:13 2025 commencing in-memory singleton removal
  49. Mon Oct 13 07:55:14 2025 begin with 62044973 relations and 53900368 unique ideals
  50. Mon Oct 13 07:55:19 2025 reduce to 61271824 relations and 46708844 ideals in 10 passes
  51. Mon Oct 13 07:55:19 2025 max relations containing the same ideal: 150
  52. Mon Oct 13 07:55:39 2025 removing 6629108 relations and 4629108 ideals in 2000000 cliques
  53. Mon Oct 13 07:55:42 2025 commencing in-memory singleton removal
  54. Mon Oct 13 07:55:42 2025 begin with 54642716 relations and 46708844 unique ideals
  55. Mon Oct 13 07:55:46 2025 reduce to 54100986 relations and 41520800 ideals in 8 passes
  56. Mon Oct 13 07:55:46 2025 max relations containing the same ideal: 140
  57. Mon Oct 13 07:56:18 2025 removing 6160855 relations and 4160855 ideals in 2000000 cliques
  58. Mon Oct 13 07:56:22 2025 commencing in-memory singleton removal
  59. Mon Oct 13 07:56:23 2025 begin with 47940131 relations and 41520800 unique ideals
  60. Mon Oct 13 07:56:26 2025 reduce to 47449247 relations and 36852536 ideals in 7 passes
  61. Mon Oct 13 07:56:26 2025 max relations containing the same ideal: 126
  62. Mon Oct 13 07:56:55 2025 removing 5925633 relations and 3925633 ideals in 2000000 cliques
  63. Mon Oct 13 07:56:58 2025 commencing in-memory singleton removal
  64. Mon Oct 13 07:56:59 2025 begin with 41523614 relations and 36852536 unique ideals
  65. Mon Oct 13 07:57:01 2025 reduce to 41036994 relations and 32422167 ideals in 8 passes
  66. Mon Oct 13 07:57:01 2025 max relations containing the same ideal: 115
  67. Mon Oct 13 07:57:25 2025 removing 5786804 relations and 3786804 ideals in 2000000 cliques
  68. Mon Oct 13 07:57:28 2025 commencing in-memory singleton removal
  69. Mon Oct 13 07:57:29 2025 begin with 35250190 relations and 32422167 unique ideals
  70. Mon Oct 13 07:57:31 2025 reduce to 34742452 relations and 28106372 ideals in 7 passes
  71. Mon Oct 13 07:57:31 2025 max relations containing the same ideal: 102
  72. Mon Oct 13 07:57:51 2025 removing 5697716 relations and 3697716 ideals in 2000000 cliques
  73. Mon Oct 13 07:57:53 2025 commencing in-memory singleton removal
  74. Mon Oct 13 07:57:54 2025 begin with 29044736 relations and 28106372 unique ideals
  75. Mon Oct 13 07:57:55 2025 reduce to 28490246 relations and 23826832 ideals in 7 passes
  76. Mon Oct 13 07:57:55 2025 max relations containing the same ideal: 91
  77. Mon Oct 13 07:58:07 2025 removing 5634013 relations and 3634013 ideals in 2000000 cliques
  78. Mon Oct 13 07:58:08 2025 commencing in-memory singleton removal
  79. Mon Oct 13 07:58:08 2025 begin with 22856233 relations and 23826832 unique ideals
  80. Mon Oct 13 07:58:09 2025 reduce to 22221583 relations and 19520102 ideals in 8 passes
  81. Mon Oct 13 07:58:09 2025 max relations containing the same ideal: 74
  82. Mon Oct 13 07:58:17 2025 removing 5573628 relations and 3573628 ideals in 2000000 cliques
  83. Mon Oct 13 07:58:18 2025 commencing in-memory singleton removal
  84. Mon Oct 13 07:58:18 2025 begin with 16647955 relations and 19520102 unique ideals
  85. Mon Oct 13 07:58:19 2025 reduce to 15863311 relations and 15101678 ideals in 8 passes
  86. Mon Oct 13 07:58:19 2025 max relations containing the same ideal: 61
  87. Mon Oct 13 07:58:24 2025 removing 641439 relations and 504359 ideals in 137080 cliques
  88. Mon Oct 13 07:58:25 2025 commencing in-memory singleton removal
  89. Mon Oct 13 07:58:25 2025 begin with 15221872 relations and 15101678 unique ideals
  90. Mon Oct 13 07:58:26 2025 reduce to 15201757 relations and 14577006 ideals in 6 passes
  91. Mon Oct 13 07:58:26 2025 max relations containing the same ideal: 60
  92. Mon Oct 13 07:58:37 2025 relations with 0 large ideals: 1699
  93. Mon Oct 13 07:58:37 2025 relations with 1 large ideals: 12272
  94. Mon Oct 13 07:58:37 2025 relations with 2 large ideals: 157943
  95. Mon Oct 13 07:58:37 2025 relations with 3 large ideals: 857287
  96. Mon Oct 13 07:58:37 2025 relations with 4 large ideals: 2426035
  97. Mon Oct 13 07:58:37 2025 relations with 5 large ideals: 3978857
  98. Mon Oct 13 07:58:37 2025 relations with 6 large ideals: 4024702
  99. Mon Oct 13 07:58:37 2025 relations with 7+ large ideals: 3742962
  100. Mon Oct 13 07:58:37 2025 commencing 2-way merge
  101. Mon Oct 13 07:58:49 2025 reduce to 10185170 relation sets and 9560419 unique ideals
  102. Mon Oct 13 07:58:49 2025 commencing full merge
  103. Mon Oct 13 08:03:46 2025 memory use: 1246.0 MB
  104. Mon Oct 13 08:03:48 2025 found 4552514 cycles, need 4510619
  105. Mon Oct 13 08:03:50 2025 weight of 4510619 cycles is about 586406450 (130.01/cycle)
  106. Mon Oct 13 08:03:50 2025 distribution of cycle lengths:
  107. Mon Oct 13 08:03:50 2025 1 relations: 84576
  108. Mon Oct 13 08:03:50 2025 2 relations: 217809
  109. Mon Oct 13 08:03:50 2025 3 relations: 288232
  110. Mon Oct 13 08:03:50 2025 4 relations: 317398
  111. Mon Oct 13 08:03:50 2025 5 relations: 338802
  112. Mon Oct 13 08:03:50 2025 6 relations: 343150
  113. Mon Oct 13 08:03:50 2025 7 relations: 342147
  114. Mon Oct 13 08:03:50 2025 8 relations: 330012
  115. Mon Oct 13 08:03:50 2025 9 relations: 310090
  116. Mon Oct 13 08:03:50 2025 10+ relations: 1938403
  117. Mon Oct 13 08:03:50 2025 heaviest cycle: 28 relations
  118. Mon Oct 13 08:03:52 2025 commencing cycle optimization
  119. Mon Oct 13 08:04:08 2025 start with 42169331 relations
  120. Mon Oct 13 08:06:14 2025 pruned 2270662 relations
  121. Mon Oct 13 08:06:14 2025 memory use: 1064.4 MB
  122. Mon Oct 13 08:06:14 2025 distribution of cycle lengths:
  123. Mon Oct 13 08:06:14 2025 1 relations: 84576
  124. Mon Oct 13 08:06:14 2025 2 relations: 224806
  125. Mon Oct 13 08:06:14 2025 3 relations: 303184
  126. Mon Oct 13 08:06:14 2025 4 relations: 334356
  127. Mon Oct 13 08:06:14 2025 5 relations: 360283
  128. Mon Oct 13 08:06:14 2025 6 relations: 364890
  129. Mon Oct 13 08:06:14 2025 7 relations: 364689
  130. Mon Oct 13 08:06:14 2025 8 relations: 350134
  131. Mon Oct 13 08:06:14 2025 9 relations: 327734
  132. Mon Oct 13 08:06:14 2025 10+ relations: 1795967
  133. Mon Oct 13 08:06:14 2025 heaviest cycle: 28 relations
  134. Mon Oct 13 08:06:20 2025 RelProcTime: 1784
  135. Mon Oct 13 08:06:20 2025
  136. Mon Oct 13 08:06:20 2025 commencing linear algebra
  137. Mon Oct 13 08:06:20 2025 using VBITS=256
  138. Mon Oct 13 08:06:20 2025 stopping after matrix build
  139. Mon Oct 13 08:06:20 2025 initialized process (0,0) of 1 x 1 grid
  140. Mon Oct 13 08:06:21 2025 read 4510619 cycles
  141. Mon Oct 13 08:06:34 2025 cycles contain 14906612 unique relations
  142. Mon Oct 13 08:08:47 2025 read 14906612 relations
  143. Mon Oct 13 08:08:48 2025 using 20 quadratic characters above 4294917295
  144. Mon Oct 13 08:08:50 2025 building initial matrix
  145. Mon Oct 13 08:15:02 2025 memory use: 2008.7 MB
  146. Mon Oct 13 08:15:08 2025 read 4510619 cycles
  147. Mon Oct 13 08:15:10 2025 matrix is 4510442 x 4510619 (2240.9 MB) with weight 671279821 (148.82/col)
  148. Mon Oct 13 08:15:10 2025 sparse part has weight 537810836 (119.23/col)
  149. Mon Oct 13 08:16:53 2025 filtering completed in 2 passes
  150. Mon Oct 13 08:16:55 2025 matrix is 4510365 x 4510540 (2240.8 MB) with weight 671276087 (148.82/col)
  151. Mon Oct 13 08:16:55 2025 sparse part has weight 537809437 (119.23/col)
  152. Mon Oct 13 08:17:28 2025 BLanczosTime: 668
  153. Mon Oct 13 08:17:28 2025 elapsed time 00:40:53
  154. Mon Oct 13 08:21:33 2025
  155. Mon Oct 13 08:21:33 2025
  156. Mon Oct 13 08:21:33 2025 Msieve v. 1.54 (SVN Unversioned directory)
  157. Mon Oct 13 08:21:33 2025 random seeds: 6dffad60 3fc068c1
  158. Mon Oct 13 08:21:33 2025 MPI process 0 of 1
  159. Mon Oct 13 08:21:33 2025 Using 64 OpenMP threads
  160. Mon Oct 13 08:21:33 2025 factoring 3454285742951684687988998385441341677983632232970475016529228990069652046286500154573192384379701016699617617648640342769462322595767494498561882190047758887319 (160 digits)
  161. Mon Oct 13 08:21:34 2025 searching for 15-digit factors
  162. Mon Oct 13 08:21:35 2025 commencing number field sieve (160-digit input)
  163. Mon Oct 13 08:21:35 2025 R0: -7960686342374263828690501718378
  164. Mon Oct 13 08:21:35 2025 R1: 823131445676421182827019
  165. Mon Oct 13 08:21:35 2025 A0: 6140433239795472685932302735954397903
  166. Mon Oct 13 08:21:35 2025 A1: 8871912890912754651257128285134
  167. Mon Oct 13 08:21:35 2025 A2: -17782213304240640154956929
  168. Mon Oct 13 08:21:35 2025 A3: -6612491815972312378
  169. Mon Oct 13 08:21:35 2025 A4: 2864851945362
  170. Mon Oct 13 08:21:35 2025 A5: 117180
  171. Mon Oct 13 08:21:35 2025 skew 2476819.50, size 1.704e-15, alpha -6.175, combined = 1.592e-12 rroots = 5
  172. Mon Oct 13 08:21:35 2025
  173. Mon Oct 13 08:21:35 2025 commencing linear algebra
  174. Mon Oct 13 08:21:35 2025 using VBITS=256
  175. Mon Oct 13 08:21:35 2025 skipping matrix build
  176. Mon Oct 13 08:21:35 2025 initialized process (0,0) of 1 x 1 grid
  177. Mon Oct 13 08:21:39 2025 matrix starts at (0, 0)
  178. Mon Oct 13 08:21:40 2025 matrix is 4510365 x 4510540 (2240.8 MB) with weight 671276087 (148.82/col)
  179. Mon Oct 13 08:21:40 2025 sparse part has weight 537809437 (119.23/col)
  180. Mon Oct 13 08:21:40 2025 saving the first 240 matrix rows for later
  181. Mon Oct 13 08:21:42 2025 matrix includes 256 packed rows
  182. Mon Oct 13 08:21:43 2025 matrix is 4510125 x 4510540 (2000.9 MB) with weight 486236580 (107.80/col)
  183. Mon Oct 13 08:21:43 2025 sparse part has weight 452348741 (100.29/col)
  184. Mon Oct 13 08:21:43 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  185. Mon Oct 13 08:21:53 2025 commencing Lanczos iteration (64 threads)
  186. Mon Oct 13 08:21:53 2025 memory use: 2835.9 MB
  187. Mon Oct 13 08:22:29 2025 linear algebra at 0.7%, ETA 1h25m
  188. Mon Oct 13 08:23:22 2025 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  189. Mon Oct 13 09:45:25 2025 lanczos halted after 17671 iterations (dim = 4510125)
  190. Mon Oct 13 09:45:40 2025 recovered 28 nontrivial dependencies
  191. Mon Oct 13 09:45:40 2025 BLanczosTime: 5045
  192. Mon Oct 13 09:45:40 2025
  193. Mon Oct 13 09:45:40 2025 commencing square root phase
  194. Mon Oct 13 09:45:40 2025 handling dependencies 1 to 64
  195. Mon Oct 13 09:45:40 2025 reading relations for dependency 1
  196. Mon Oct 13 09:45:41 2025 read 2253940 cycles
  197. Mon Oct 13 09:45:44 2025 cycles contain 7451202 unique relations
  198. Mon Oct 13 09:47:21 2025 read 7451202 relations
  199. Mon Oct 13 09:47:45 2025 multiplying 7451202 relations
  200. Mon Oct 13 09:48:26 2025 multiply complete, coefficients have about 405.55 million bits
  201. Mon Oct 13 09:48:27 2025 initial square root is modulo 18921989
  202. Mon Oct 13 09:52:03 2025 sqrtTime: 383
  203. Mon Oct 13 09:52:03 2025 p77 factor: 33318897607078397233568949933525977262019330648773091455677853851803360298479
  204. Mon Oct 13 09:52:03 2025 p84 factor: 103673470343683960369498337402224154757653640667534041173401093254911114410644831961
  205. Mon Oct 13 09:52:03 2025 elapsed time 01:30:30
  206.  
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