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Jun 1st, 2025
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  1. Sat May 31 20:01:39 2025
  2. Sat May 31 20:01:39 2025
  3. Sat May 31 20:01:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 31 20:01:39 2025 random seeds: d9cf2943 2f5ca0ce
  5. Sat May 31 20:01:39 2025 MPI process 0 of 1
  6. Sat May 31 20:01:39 2025 Using 32 OpenMP threads
  7. Sat May 31 20:01:39 2025 factoring 25573289797200335305139476424070666633604890355424122867848324724134332432074676985645637107822688665126021584947845188494589384477396360162500775027091699451454694804556832383 (176 digits)
  8. Sat May 31 20:01:40 2025 searching for 15-digit factors
  9. Sat May 31 20:01:40 2025 commencing number field sieve (176-digit input)
  10. Sat May 31 20:01:40 2025 R0: -16303720285541921541087454207027473
  11. Sat May 31 20:01:40 2025 R1: 4400514955024291859
  12. Sat May 31 20:01:40 2025 A0: -17695701056295866909678514489021160528657000
  13. Sat May 31 20:01:40 2025 A1: 1717627909048827225818786476191696530
  14. Sat May 31 20:01:40 2025 A2: -61405573499587036543532316807
  15. Sat May 31 20:01:40 2025 A3: -331124903691335072678
  16. Sat May 31 20:01:40 2025 A4: 8870882922544
  17. Sat May 31 20:01:40 2025 A5: 22200
  18. Sat May 31 20:01:40 2025 skew 95949598.07, size 4.705e-17, alpha -7.779, combined = 1.850e-13 rroots = 3
  19. Sat May 31 20:01:40 2025
  20. Sat May 31 20:01:40 2025 commencing relation filtering
  21. Sat May 31 20:01:40 2025 setting target matrix density to 130.0
  22. Sat May 31 20:01:40 2025 estimated available RAM is 257736.5 MB
  23. Sat May 31 20:01:40 2025 commencing duplicate removal, pass 1
  24. Sat May 31 20:14:49 2025 skipped 231 malformed relations
  25. Sat May 31 20:14:49 2025 found 78042016 hash collisions in 391728835 relations
  26. Sat May 31 20:15:11 2025 added 121221 free relations
  27. Sat May 31 20:15:11 2025 commencing duplicate removal, pass 2
  28. Sat May 31 20:22:41 2025 found 79458577 duplicates and 312391479 unique relations
  29. Sat May 31 20:22:41 2025 memory use: 2643.0 MB
  30. Sat May 31 20:22:41 2025 reading ideals above 720000
  31. Sat May 31 20:22:41 2025 commencing singleton removal, initial pass
  32. Sat May 31 20:45:12 2025 memory use: 6024.0 MB
  33. Sat May 31 20:45:12 2025 reading all ideals from disk
  34. Sat May 31 20:45:18 2025 memory use: 14936.9 MB
  35. Sat May 31 20:45:53 2025 keeping 303482486 ideals with weight <= 200, target excess is 1674808
  36. Sat May 31 20:46:38 2025 commencing in-memory singleton removal
  37. Sat May 31 20:46:42 2025 begin with 312391479 relations and 303482486 unique ideals
  38. Sat May 31 20:47:00 2025 reduce to 170859744 relations and 144713133 ideals in 16 passes
  39. Sat May 31 20:47:00 2025 max relations containing the same ideal: 142
  40. Sat May 31 20:48:31 2025 removing 13723681 relations and 11723681 ideals in 2000000 cliques
  41. Sat May 31 20:48:39 2025 commencing in-memory singleton removal
  42. Sat May 31 20:48:41 2025 begin with 157136063 relations and 144713133 unique ideals
  43. Sat May 31 20:48:53 2025 reduce to 156293065 relations and 132133330 ideals in 10 passes
  44. Sat May 31 20:48:53 2025 max relations containing the same ideal: 136
  45. Sat May 31 20:50:00 2025 removing 10344215 relations and 8344215 ideals in 2000000 cliques
  46. Sat May 31 20:50:06 2025 commencing in-memory singleton removal
  47. Sat May 31 20:50:09 2025 begin with 145948850 relations and 132133330 unique ideals
  48. Sat May 31 20:50:19 2025 reduce to 145396840 relations and 123229771 ideals in 9 passes
  49. Sat May 31 20:50:19 2025 max relations containing the same ideal: 130
  50. Sat May 31 20:51:19 2025 removing 9314302 relations and 7314302 ideals in 2000000 cliques
  51. Sat May 31 20:51:23 2025 commencing in-memory singleton removal
  52. Sat May 31 20:51:25 2025 begin with 136082538 relations and 123229771 unique ideals
  53. Sat May 31 20:51:34 2025 reduce to 135593275 relations and 115419715 ideals in 8 passes
  54. Sat May 31 20:51:34 2025 max relations containing the same ideal: 125
  55. Sat May 31 20:52:27 2025 removing 8775158 relations and 6775158 ideals in 2000000 cliques
  56. Sat May 31 20:52:32 2025 commencing in-memory singleton removal
  57. Sat May 31 20:52:34 2025 begin with 126818117 relations and 115419715 unique ideals
  58. Sat May 31 20:52:42 2025 reduce to 126353137 relations and 108173128 ideals in 8 passes
  59. Sat May 31 20:52:42 2025 max relations containing the same ideal: 121
  60. Sat May 31 20:53:31 2025 removing 8446650 relations and 6446650 ideals in 2000000 cliques
  61. Sat May 31 20:53:36 2025 commencing in-memory singleton removal
  62. Sat May 31 20:53:38 2025 begin with 117906487 relations and 108173128 unique ideals
  63. Sat May 31 20:53:45 2025 reduce to 117443984 relations and 101257295 ideals in 8 passes
  64. Sat May 31 20:53:45 2025 max relations containing the same ideal: 111
  65. Sat May 31 20:54:53 2025 removing 8232126 relations and 6232126 ideals in 2000000 cliques
  66. Sat May 31 20:54:56 2025 commencing in-memory singleton removal
  67. Sat May 31 20:54:58 2025 begin with 109211858 relations and 101257295 unique ideals
  68. Sat May 31 20:55:03 2025 reduce to 108741056 relations and 94547291 ideals in 9 passes
  69. Sat May 31 20:55:03 2025 max relations containing the same ideal: 107
  70. Sat May 31 20:55:45 2025 removing 8100698 relations and 6100698 ideals in 2000000 cliques
  71. Sat May 31 20:55:49 2025 commencing in-memory singleton removal
  72. Sat May 31 20:55:50 2025 begin with 100640358 relations and 94547291 unique ideals
  73. Sat May 31 20:55:56 2025 reduce to 100149431 relations and 87947674 ideals in 7 passes
  74. Sat May 31 20:55:56 2025 max relations containing the same ideal: 100
  75. Sat May 31 20:56:36 2025 removing 8033640 relations and 6033640 ideals in 2000000 cliques
  76. Sat May 31 20:56:41 2025 commencing in-memory singleton removal
  77. Sat May 31 20:56:43 2025 begin with 92115791 relations and 87947674 unique ideals
  78. Sat May 31 20:56:47 2025 reduce to 91591501 relations and 81380661 ideals in 9 passes
  79. Sat May 31 20:56:47 2025 max relations containing the same ideal: 98
  80. Sat May 31 20:57:22 2025 removing 8006887 relations and 6006887 ideals in 2000000 cliques
  81. Sat May 31 20:57:26 2025 commencing in-memory singleton removal
  82. Sat May 31 20:57:26 2025 begin with 83584614 relations and 81380661 unique ideals
  83. Sat May 31 20:57:30 2025 reduce to 83012397 relations and 74790830 ideals in 8 passes
  84. Sat May 31 20:57:30 2025 max relations containing the same ideal: 92
  85. Sat May 31 20:58:02 2025 removing 8033729 relations and 6033729 ideals in 2000000 cliques
  86. Sat May 31 20:58:05 2025 commencing in-memory singleton removal
  87. Sat May 31 20:58:05 2025 begin with 74978668 relations and 74790830 unique ideals
  88. Sat May 31 20:58:09 2025 reduce to 74334894 relations and 68099742 ideals in 9 passes
  89. Sat May 31 20:58:09 2025 max relations containing the same ideal: 86
  90. Sat May 31 20:58:39 2025 removing 8117158 relations and 6117158 ideals in 2000000 cliques
  91. Sat May 31 20:58:42 2025 commencing in-memory singleton removal
  92. Sat May 31 20:58:43 2025 begin with 66217736 relations and 68099742 unique ideals
  93. Sat May 31 20:58:47 2025 reduce to 65469175 relations and 61216503 ideals in 9 passes
  94. Sat May 31 20:58:47 2025 max relations containing the same ideal: 74
  95. Sat May 31 20:59:12 2025 removing 8262783 relations and 6262783 ideals in 2000000 cliques
  96. Sat May 31 20:59:15 2025 commencing in-memory singleton removal
  97. Sat May 31 20:59:16 2025 begin with 57206392 relations and 61216503 unique ideals
  98. Sat May 31 20:59:20 2025 reduce to 56295675 relations and 54019396 ideals in 10 passes
  99. Sat May 31 20:59:20 2025 max relations containing the same ideal: 68
  100. Sat May 31 20:59:43 2025 removing 2078166 relations and 1744665 ideals in 333501 cliques
  101. Sat May 31 20:59:44 2025 commencing in-memory singleton removal
  102. Sat May 31 20:59:45 2025 begin with 54217509 relations and 54019396 unique ideals
  103. Sat May 31 20:59:47 2025 reduce to 54160063 relations and 52216957 ideals in 7 passes
  104. Sat May 31 20:59:47 2025 max relations containing the same ideal: 68
  105. Sat May 31 21:00:15 2025 relations with 0 large ideals: 6926
  106. Sat May 31 21:00:15 2025 relations with 1 large ideals: 68383
  107. Sat May 31 21:00:15 2025 relations with 2 large ideals: 697847
  108. Sat May 31 21:00:15 2025 relations with 3 large ideals: 3417076
  109. Sat May 31 21:00:15 2025 relations with 4 large ideals: 9227555
  110. Sat May 31 21:00:15 2025 relations with 5 large ideals: 14739094
  111. Sat May 31 21:00:15 2025 relations with 6 large ideals: 14313131
  112. Sat May 31 21:00:15 2025 relations with 7+ large ideals: 11690051
  113. Sat May 31 21:00:15 2025 commencing 2-way merge
  114. Sat May 31 21:00:49 2025 reduce to 32578565 relation sets and 30635459 unique ideals
  115. Sat May 31 21:00:49 2025 commencing full merge
  116. Sat May 31 21:10:04 2025 memory use: 3307.7 MB
  117. Sat May 31 21:10:06 2025 found 13621145 cycles, need 13533659
  118. Sat May 31 21:10:12 2025 weight of 13533659 cycles is about 1759397707 (130.00/cycle)
  119. Sat May 31 21:10:12 2025 distribution of cycle lengths:
  120. Sat May 31 21:10:12 2025 1 relations: 902775
  121. Sat May 31 21:10:12 2025 2 relations: 811909
  122. Sat May 31 21:10:12 2025 3 relations: 867826
  123. Sat May 31 21:10:12 2025 4 relations: 866099
  124. Sat May 31 21:10:12 2025 5 relations: 891586
  125. Sat May 31 21:10:12 2025 6 relations: 867261
  126. Sat May 31 21:10:12 2025 7 relations: 865650
  127. Sat May 31 21:10:12 2025 8 relations: 824635
  128. Sat May 31 21:10:12 2025 9 relations: 798818
  129. Sat May 31 21:10:12 2025 10+ relations: 5837100
  130. Sat May 31 21:10:12 2025 heaviest cycle: 28 relations
  131. Sat May 31 21:10:17 2025 commencing cycle optimization
  132. Sat May 31 21:10:56 2025 start with 125369536 relations
  133. Sat May 31 21:17:39 2025 pruned 4975009 relations
  134. Sat May 31 21:17:39 2025 memory use: 3466.8 MB
  135. Sat May 31 21:17:39 2025 distribution of cycle lengths:
  136. Sat May 31 21:17:39 2025 1 relations: 902775
  137. Sat May 31 21:17:39 2025 2 relations: 833686
  138. Sat May 31 21:17:39 2025 3 relations: 902050
  139. Sat May 31 21:17:39 2025 4 relations: 898377
  140. Sat May 31 21:17:39 2025 5 relations: 929441
  141. Sat May 31 21:17:39 2025 6 relations: 903551
  142. Sat May 31 21:17:39 2025 7 relations: 903135
  143. Sat May 31 21:17:39 2025 8 relations: 859793
  144. Sat May 31 21:17:39 2025 9 relations: 830014
  145. Sat May 31 21:17:39 2025 10+ relations: 5570837
  146. Sat May 31 21:17:39 2025 heaviest cycle: 28 relations
  147. Sat May 31 21:18:09 2025 RelProcTime: 4589
  148. Sat May 31 21:18:14 2025
  149. Sat May 31 21:18:14 2025 commencing linear algebra
  150. Sat May 31 21:18:14 2025 using VBITS=256
  151. Sat May 31 21:18:14 2025 stopping after matrix build
  152. Sat May 31 21:18:14 2025 initialized process (0,0) of 1 x 1 grid
  153. Sat May 31 21:18:15 2025 read 13533659 cycles
  154. Sat May 31 21:18:46 2025 cycles contain 52869498 unique relations
  155. Sat May 31 21:25:16 2025 read 52869498 relations
  156. Sat May 31 21:25:24 2025 using 20 quadratic characters above 4294917295
  157. Sat May 31 21:25:32 2025 building initial matrix
  158. Sat May 31 21:39:58 2025 memory use: 7269.0 MB
  159. Sat May 31 21:40:10 2025 read 13533659 cycles
  160. Sat May 31 21:40:12 2025 matrix is 13533478 x 13533659 (6864.7 MB) with weight 2081103855 (153.77/col)
  161. Sat May 31 21:40:12 2025 sparse part has weight 1637147581 (120.97/col)
  162. Sat May 31 21:44:40 2025 filtering completed in 2 passes
  163. Sat May 31 21:44:44 2025 matrix is 13532080 x 13532261 (6864.6 MB) with weight 2081032257 (153.78/col)
  164. Sat May 31 21:44:44 2025 sparse part has weight 1637125174 (120.98/col)
  165. Sat May 31 21:46:14 2025 BLanczosTime: 1680
  166. Sat May 31 21:46:14 2025 elapsed time 01:44:35
  167. Sun Jun 1 02:34:52 2025
  168. Sun Jun 1 02:34:52 2025
  169. Sun Jun 1 02:34:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  170. Sun Jun 1 02:34:52 2025 random seeds: 90da5714 f9b67482
  171. Sun Jun 1 02:34:52 2025 MPI process 0 of 1
  172. Sun Jun 1 02:34:52 2025 Using 64 OpenMP threads
  173. Sun Jun 1 02:34:52 2025 factoring 25573289797200335305139476424070666633604890355424122867848324724134332432074676985645637107822688665126021584947845188494589384477396360162500775027091699451454694804556832383 (176 digits)
  174. Sun Jun 1 02:34:52 2025 searching for 15-digit factors
  175. Sun Jun 1 02:34:53 2025 commencing number field sieve (176-digit input)
  176. Sun Jun 1 02:34:53 2025 R0: -16303720285541921541087454207027473
  177. Sun Jun 1 02:34:53 2025 R1: 4400514955024291859
  178. Sun Jun 1 02:34:53 2025 A0: -17695701056295866909678514489021160528657000
  179. Sun Jun 1 02:34:53 2025 A1: 1717627909048827225818786476191696530
  180. Sun Jun 1 02:34:53 2025 A2: -61405573499587036543532316807
  181. Sun Jun 1 02:34:53 2025 A3: -331124903691335072678
  182. Sun Jun 1 02:34:53 2025 A4: 8870882922544
  183. Sun Jun 1 02:34:53 2025 A5: 22200
  184. Sun Jun 1 02:34:53 2025 skew 95949598.07, size 4.705e-17, alpha -7.779, combined = 1.850e-13 rroots = 3
  185. Sun Jun 1 02:34:53 2025
  186. Sun Jun 1 02:34:53 2025 commencing linear algebra
  187. Sun Jun 1 02:34:53 2025 using VBITS=256
  188. Sun Jun 1 02:34:53 2025 skipping matrix build
  189. Sun Jun 1 02:34:53 2025 initialized process (0,0) of 1 x 1 grid
  190. Sun Jun 1 02:34:59 2025 matrix starts at (0, 0)
  191. Sun Jun 1 02:35:01 2025 matrix is 13532080 x 13532261 (6864.6 MB) with weight 2081032257 (153.78/col)
  192. Sun Jun 1 02:35:01 2025 sparse part has weight 1637125174 (120.98/col)
  193. Sun Jun 1 02:35:01 2025 saving the first 240 matrix rows for later
  194. Sun Jun 1 02:35:04 2025 matrix includes 256 packed rows
  195. Sun Jun 1 02:35:08 2025 matrix is 13531840 x 13532261 (6211.9 MB) with weight 1500770266 (110.90/col)
  196. Sun Jun 1 02:35:08 2025 sparse part has weight 1411893389 (104.34/col)
  197. Sun Jun 1 02:35:08 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  198. Sun Jun 1 02:35:39 2025 commencing Lanczos iteration (64 threads)
  199. Sun Jun 1 02:35:39 2025 memory use: 8773.8 MB
  200. Sun Jun 1 02:37:39 2025 linear algebra at 0.2%, ETA 14h19m
  201. Sun Jun 1 02:40:44 2025 checking every 10000 dimensions, checkpointing every 920000 dimensions
  202. Sun Jun 1 17:05:21 2025 lanczos halted after 53018 iterations (dim = 13531840)
  203. Sun Jun 1 17:06:03 2025 recovered 31 nontrivial dependencies
  204. Sun Jun 1 17:06:05 2025 BLanczosTime: 52272
  205. Sun Jun 1 17:06:05 2025
  206. Sun Jun 1 17:06:05 2025 commencing square root phase
  207. Sun Jun 1 17:06:05 2025 handling dependencies 1 to 64
  208. Sun Jun 1 17:06:05 2025 reading relations for dependency 1
  209. Sun Jun 1 17:06:06 2025 read 6763045 cycles
  210. Sun Jun 1 17:06:18 2025 cycles contain 26433316 unique relations
  211. Sun Jun 1 17:11:30 2025 read 26433316 relations
  212. Sun Jun 1 17:14:29 2025 multiplying 26433316 relations
  213. Sun Jun 1 17:18:29 2025 multiply complete, coefficients have about 1447.03 million bits
  214. Sun Jun 1 17:18:34 2025 initial square root is modulo 3097187
  215. Sun Jun 1 17:32:23 2025 GCD is 1, no factor found
  216. Sun Jun 1 17:32:23 2025 reading relations for dependency 2
  217. Sun Jun 1 17:32:25 2025 read 6764557 cycles
  218. Sun Jun 1 17:32:44 2025 cycles contain 26431538 unique relations
  219. Sun Jun 1 17:38:53 2025 read 26431538 relations
  220. Sun Jun 1 17:41:31 2025 multiplying 26431538 relations
  221. Sun Jun 1 17:45:15 2025 multiply complete, coefficients have about 1446.93 million bits
  222. Sun Jun 1 17:45:20 2025 initial square root is modulo 3094027
  223. Sun Jun 1 17:58:52 2025 sqrtTime: 3167
  224. Sun Jun 1 17:58:52 2025 p68 factor: 48844356079573466047959837814248757065038831600513248977364100221603
  225. Sun Jun 1 17:58:52 2025 p108 factor: 523566934847872691599985028904945584898470756748931915542690330550331165498960874273277135973189559667398261
  226. Sun Jun 1 17:58:52 2025 elapsed time 15:24:00
  227.  
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