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Nov 7th, 2025
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  1. Thu Nov 6 13:47:35 2025
  2. Thu Nov 6 13:47:35 2025
  3. Thu Nov 6 13:47:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Nov 6 13:47:35 2025 random seeds: 64ce464f 58dcb59c
  5. Thu Nov 6 13:47:35 2025 MPI process 0 of 1
  6. Thu Nov 6 13:47:35 2025 Using 32 OpenMP threads
  7. Thu Nov 6 13:47:35 2025 factoring 1574118711277953153757834693777149974413120542553701331990839534791056126073662696595897893166323580692362877843317236363592620440377545665885593381709387429928819 (163 digits)
  8. Thu Nov 6 13:47:36 2025 searching for 15-digit factors
  9. Thu Nov 6 13:47:36 2025 commencing number field sieve (163-digit input)
  10. Thu Nov 6 13:47:36 2025 R0: 32305462679544890432843765366083
  11. Thu Nov 6 13:47:36 2025 R1: 1995784771405669119886069
  12. Thu Nov 6 13:47:36 2025 A0: 13523694735145296712958960600313194832000
  13. Thu Nov 6 13:47:36 2025 A1: 4662529309026189891213688817425040
  14. Thu Nov 6 13:47:36 2025 A2: -452616363942516496543762122
  15. Thu Nov 6 13:47:36 2025 A3: -39941041573357091357
  16. Thu Nov 6 13:47:36 2025 A4: 2824204332180
  17. Thu Nov 6 13:47:36 2025 A5: 30240
  18. Thu Nov 6 13:47:36 2025 skew 12966182.60, size 8.943e-16, alpha -7.676, combined = 1.068e-12 rroots = 3
  19. Thu Nov 6 13:47:36 2025
  20. Thu Nov 6 13:47:36 2025 commencing relation filtering
  21. Thu Nov 6 13:47:36 2025 setting target matrix density to 120.0
  22. Thu Nov 6 13:47:36 2025 estimated available RAM is 257736.5 MB
  23. Thu Nov 6 13:47:36 2025 commencing duplicate removal, pass 1
  24. Thu Nov 6 13:51:49 2025 error -15 reading relation 109187117
  25. Thu Nov 6 13:51:50 2025 error -1 reading relation 109216168
  26. Thu Nov 6 13:51:50 2025 error -15 reading relation 109222809
  27. Thu Nov 6 13:51:54 2025 error -1 reading relation 111164493
  28. Thu Nov 6 13:51:54 2025 error -15 reading relation 111165930
  29. Thu Nov 6 13:51:55 2025 error -15 reading relation 111574160
  30. Thu Nov 6 13:51:55 2025 error -15 reading relation 111577336
  31. Thu Nov 6 13:51:55 2025 error -1 reading relation 111595737
  32. Thu Nov 6 13:51:56 2025 error -15 reading relation 111854070
  33. Thu Nov 6 13:51:56 2025 error -15 reading relation 111858223
  34. Thu Nov 6 13:51:56 2025 error -1 reading relation 111885586
  35. Thu Nov 6 13:51:56 2025 error -15 reading relation 111898023
  36. Thu Nov 6 13:51:57 2025 error -15 reading relation 112160241
  37. Thu Nov 6 13:51:57 2025 error -15 reading relation 112181836
  38. Thu Nov 6 13:55:03 2025 error -1 reading relation 191542622
  39. Thu Nov 6 13:57:10 2025 skipped 9 relations with composite factors
  40. Thu Nov 6 13:57:10 2025 skipped 58 malformed relations
  41. Thu Nov 6 13:57:10 2025 found 42818172 hash collisions in 244889675 relations
  42. Thu Nov 6 13:57:49 2025 added 122440 free relations
  43. Thu Nov 6 13:57:49 2025 commencing duplicate removal, pass 2
  44. Thu Nov 6 14:06:10 2025 found 39567707 duplicates and 205444408 unique relations
  45. Thu Nov 6 14:06:10 2025 memory use: 1321.5 MB
  46. Thu Nov 6 14:06:10 2025 reading ideals above 720000
  47. Thu Nov 6 14:06:10 2025 commencing singleton removal, initial pass
  48. Thu Nov 6 14:30:56 2025 memory use: 5512.0 MB
  49. Thu Nov 6 14:30:57 2025 reading all ideals from disk
  50. Thu Nov 6 14:31:04 2025 memory use: 9325.2 MB
  51. Thu Nov 6 14:31:52 2025 keeping 212847964 ideals with weight <= 200, target excess is 987425
  52. Thu Nov 6 14:32:53 2025 commencing in-memory singleton removal
  53. Thu Nov 6 14:32:58 2025 begin with 205444408 relations and 212847964 unique ideals
  54. Thu Nov 6 14:33:19 2025 reduce to 90825217 relations and 80900694 ideals in 19 passes
  55. Thu Nov 6 14:33:19 2025 max relations containing the same ideal: 120
  56. Thu Nov 6 14:34:31 2025 removing 8511789 relations and 7511789 ideals in 1000000 cliques
  57. Thu Nov 6 14:34:38 2025 commencing in-memory singleton removal
  58. Thu Nov 6 14:34:39 2025 begin with 82313428 relations and 80900694 unique ideals
  59. Thu Nov 6 14:34:46 2025 reduce to 81653632 relations and 72718978 ideals in 10 passes
  60. Thu Nov 6 14:34:46 2025 max relations containing the same ideal: 113
  61. Thu Nov 6 14:35:49 2025 removing 6349218 relations and 5349218 ideals in 1000000 cliques
  62. Thu Nov 6 14:35:54 2025 commencing in-memory singleton removal
  63. Thu Nov 6 14:35:56 2025 begin with 75304414 relations and 72718978 unique ideals
  64. Thu Nov 6 14:36:02 2025 reduce to 74883439 relations and 66943219 ideals in 9 passes
  65. Thu Nov 6 14:36:02 2025 max relations containing the same ideal: 107
  66. Thu Nov 6 14:37:17 2025 removing 5686562 relations and 4686562 ideals in 1000000 cliques
  67. Thu Nov 6 14:37:22 2025 commencing in-memory singleton removal
  68. Thu Nov 6 14:37:23 2025 begin with 69196877 relations and 66943219 unique ideals
  69. Thu Nov 6 14:37:29 2025 reduce to 68824981 relations and 61879935 ideals in 9 passes
  70. Thu Nov 6 14:37:29 2025 max relations containing the same ideal: 102
  71. Thu Nov 6 14:38:24 2025 removing 5340624 relations and 4340624 ideals in 1000000 cliques
  72. Thu Nov 6 14:38:29 2025 commencing in-memory singleton removal
  73. Thu Nov 6 14:38:30 2025 begin with 63484357 relations and 61879935 unique ideals
  74. Thu Nov 6 14:38:35 2025 reduce to 63126537 relations and 57176352 ideals in 9 passes
  75. Thu Nov 6 14:38:35 2025 max relations containing the same ideal: 96
  76. Thu Nov 6 14:39:27 2025 removing 5139541 relations and 4139541 ideals in 1000000 cliques
  77. Thu Nov 6 14:39:30 2025 commencing in-memory singleton removal
  78. Thu Nov 6 14:39:31 2025 begin with 57986996 relations and 57176352 unique ideals
  79. Thu Nov 6 14:39:35 2025 reduce to 57623397 relations and 52667942 ideals in 10 passes
  80. Thu Nov 6 14:39:35 2025 max relations containing the same ideal: 92
  81. Thu Nov 6 14:40:18 2025 removing 5018157 relations and 4018157 ideals in 1000000 cliques
  82. Thu Nov 6 14:40:22 2025 commencing in-memory singleton removal
  83. Thu Nov 6 14:40:23 2025 begin with 52605240 relations and 52667942 unique ideals
  84. Thu Nov 6 14:40:27 2025 reduce to 52223797 relations and 48262380 ideals in 10 passes
  85. Thu Nov 6 14:40:27 2025 max relations containing the same ideal: 83
  86. Thu Nov 6 14:41:07 2025 removing 4952474 relations and 3952474 ideals in 1000000 cliques
  87. Thu Nov 6 14:41:10 2025 commencing in-memory singleton removal
  88. Thu Nov 6 14:41:11 2025 begin with 47271323 relations and 48262380 unique ideals
  89. Thu Nov 6 14:41:15 2025 reduce to 46855533 relations and 43887052 ideals in 10 passes
  90. Thu Nov 6 14:41:15 2025 max relations containing the same ideal: 78
  91. Thu Nov 6 14:41:52 2025 removing 4936123 relations and 3936123 ideals in 1000000 cliques
  92. Thu Nov 6 14:41:55 2025 commencing in-memory singleton removal
  93. Thu Nov 6 14:41:56 2025 begin with 41919410 relations and 43887052 unique ideals
  94. Thu Nov 6 14:41:59 2025 reduce to 41451160 relations and 39473870 ideals in 9 passes
  95. Thu Nov 6 14:41:59 2025 max relations containing the same ideal: 70
  96. Thu Nov 6 14:42:31 2025 removing 4304980 relations and 3473104 ideals in 831876 cliques
  97. Thu Nov 6 14:42:33 2025 commencing in-memory singleton removal
  98. Thu Nov 6 14:42:34 2025 begin with 37146180 relations and 39473870 unique ideals
  99. Thu Nov 6 14:42:37 2025 reduce to 36743892 relations and 35591344 ideals in 9 passes
  100. Thu Nov 6 14:42:37 2025 max relations containing the same ideal: 66
  101. Thu Nov 6 14:43:12 2025 relations with 0 large ideals: 3539
  102. Thu Nov 6 14:43:12 2025 relations with 1 large ideals: 29625
  103. Thu Nov 6 14:43:12 2025 relations with 2 large ideals: 385605
  104. Thu Nov 6 14:43:12 2025 relations with 3 large ideals: 2100871
  105. Thu Nov 6 14:43:12 2025 relations with 4 large ideals: 6063006
  106. Thu Nov 6 14:43:12 2025 relations with 5 large ideals: 10103017
  107. Thu Nov 6 14:43:12 2025 relations with 6 large ideals: 10020315
  108. Thu Nov 6 14:43:12 2025 relations with 7+ large ideals: 8037914
  109. Thu Nov 6 14:43:12 2025 commencing 2-way merge
  110. Thu Nov 6 14:43:55 2025 reduce to 21286545 relation sets and 20133997 unique ideals
  111. Thu Nov 6 14:43:55 2025 commencing full merge
  112. Thu Nov 6 14:56:51 2025 memory use: 2217.5 MB
  113. Thu Nov 6 14:56:55 2025 found 8917562 cycles, need 8916197
  114. Thu Nov 6 14:57:00 2025 weight of 8916197 cycles is about 1070246888 (120.03/cycle)
  115. Thu Nov 6 14:57:00 2025 distribution of cycle lengths:
  116. Thu Nov 6 14:57:00 2025 1 relations: 755102
  117. Thu Nov 6 14:57:00 2025 2 relations: 615229
  118. Thu Nov 6 14:57:00 2025 3 relations: 617890
  119. Thu Nov 6 14:57:00 2025 4 relations: 595024
  120. Thu Nov 6 14:57:00 2025 5 relations: 587790
  121. Thu Nov 6 14:57:00 2025 6 relations: 565944
  122. Thu Nov 6 14:57:00 2025 7 relations: 537936
  123. Thu Nov 6 14:57:00 2025 8 relations: 514137
  124. Thu Nov 6 14:57:00 2025 9 relations: 484939
  125. Thu Nov 6 14:57:00 2025 10+ relations: 3642206
  126. Thu Nov 6 14:57:00 2025 heaviest cycle: 28 relations
  127. Thu Nov 6 14:57:04 2025 commencing cycle optimization
  128. Thu Nov 6 14:57:50 2025 start with 80499720 relations
  129. Thu Nov 6 15:03:29 2025 pruned 2800476 relations
  130. Thu Nov 6 15:03:29 2025 memory use: 2291.2 MB
  131. Thu Nov 6 15:03:29 2025 distribution of cycle lengths:
  132. Thu Nov 6 15:03:29 2025 1 relations: 755102
  133. Thu Nov 6 15:03:29 2025 2 relations: 630821
  134. Thu Nov 6 15:03:29 2025 3 relations: 640177
  135. Thu Nov 6 15:03:29 2025 4 relations: 614202
  136. Thu Nov 6 15:03:29 2025 5 relations: 609517
  137. Thu Nov 6 15:03:29 2025 6 relations: 583691
  138. Thu Nov 6 15:03:29 2025 7 relations: 557104
  139. Thu Nov 6 15:03:29 2025 8 relations: 530068
  140. Thu Nov 6 15:03:29 2025 9 relations: 498308
  141. Thu Nov 6 15:03:29 2025 10+ relations: 3497207
  142. Thu Nov 6 15:03:29 2025 heaviest cycle: 28 relations
  143. Thu Nov 6 15:04:02 2025 RelProcTime: 4586
  144. Thu Nov 6 15:04:02 2025
  145. Thu Nov 6 15:04:02 2025 commencing linear algebra
  146. Thu Nov 6 15:04:02 2025 using VBITS=256
  147. Thu Nov 6 15:04:02 2025 stopping after matrix build
  148. Thu Nov 6 15:04:02 2025 initialized process (0,0) of 1 x 1 grid
  149. Thu Nov 6 15:04:04 2025 read 8916197 cycles
  150. Thu Nov 6 15:04:37 2025 cycles contain 35688871 unique relations
  151. Thu Nov 6 15:10:11 2025 read 35688871 relations
  152. Thu Nov 6 15:10:18 2025 using 20 quadratic characters above 4294917295
  153. Thu Nov 6 15:10:24 2025 building initial matrix
  154. Thu Nov 6 15:22:54 2025 memory use: 4634.9 MB
  155. Thu Nov 6 15:23:06 2025 read 8916197 cycles
  156. Thu Nov 6 15:23:08 2025 matrix is 8916020 x 8916197 (4225.4 MB) with weight 1292196303 (144.93/col)
  157. Thu Nov 6 15:23:08 2025 sparse part has weight 1000660705 (112.23/col)
  158. Thu Nov 6 15:26:40 2025 filtering completed in 2 passes
  159. Thu Nov 6 15:26:44 2025 matrix is 8915678 x 8915855 (4225.3 MB) with weight 1292179607 (144.93/col)
  160. Thu Nov 6 15:26:44 2025 sparse part has weight 1000656419 (112.23/col)
  161. Thu Nov 6 15:27:51 2025 BLanczosTime: 1429
  162. Thu Nov 6 15:27:51 2025 elapsed time 01:40:16
  163. Thu Nov 6 15:40:52 2025
  164. Thu Nov 6 15:40:52 2025
  165. Thu Nov 6 15:40:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  166. Thu Nov 6 15:40:52 2025 random seeds: a65ac872 aa67b8fe
  167. Thu Nov 6 15:40:52 2025 MPI process 0 of 1
  168. Thu Nov 6 15:40:52 2025 Using 64 OpenMP threads
  169. Thu Nov 6 15:40:52 2025 factoring 1574118711277953153757834693777149974413120542553701331990839534791056126073662696595897893166323580692362877843317236363592620440377545665885593381709387429928819 (163 digits)
  170. Thu Nov 6 15:40:53 2025 searching for 15-digit factors
  171. Thu Nov 6 15:40:54 2025 commencing number field sieve (163-digit input)
  172. Thu Nov 6 15:40:54 2025 R0: 32305462679544890432843765366083
  173. Thu Nov 6 15:40:54 2025 R1: 1995784771405669119886069
  174. Thu Nov 6 15:40:54 2025 A0: 13523694735145296712958960600313194832000
  175. Thu Nov 6 15:40:54 2025 A1: 4662529309026189891213688817425040
  176. Thu Nov 6 15:40:54 2025 A2: -452616363942516496543762122
  177. Thu Nov 6 15:40:54 2025 A3: -39941041573357091357
  178. Thu Nov 6 15:40:54 2025 A4: 2824204332180
  179. Thu Nov 6 15:40:54 2025 A5: 30240
  180. Thu Nov 6 15:40:54 2025 skew 12966182.60, size 8.943e-16, alpha -7.676, combined = 1.068e-12 rroots = 3
  181. Thu Nov 6 15:40:54 2025
  182. Thu Nov 6 15:40:54 2025 commencing linear algebra
  183. Thu Nov 6 15:40:54 2025 using VBITS=256
  184. Thu Nov 6 15:40:54 2025 skipping matrix build
  185. Thu Nov 6 15:40:54 2025 initialized process (0,0) of 1 x 1 grid
  186. Thu Nov 6 15:40:59 2025 matrix starts at (0, 0)
  187. Thu Nov 6 15:41:00 2025 matrix is 8915678 x 8915855 (4225.3 MB) with weight 1292179607 (144.93/col)
  188. Thu Nov 6 15:41:00 2025 sparse part has weight 1000656419 (112.23/col)
  189. Thu Nov 6 15:41:00 2025 saving the first 240 matrix rows for later
  190. Thu Nov 6 15:41:02 2025 matrix includes 256 packed rows
  191. Thu Nov 6 15:41:05 2025 matrix is 8915438 x 8915855 (3817.1 MB) with weight 914816767 (102.61/col)
  192. Thu Nov 6 15:41:05 2025 sparse part has weight 857969180 (96.23/col)
  193. Thu Nov 6 15:41:05 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  194. Thu Nov 6 15:41:23 2025 commencing Lanczos iteration (64 threads)
  195. Thu Nov 6 15:41:23 2025 memory use: 5505.5 MB
  196. Thu Nov 6 15:42:36 2025 linear algebra at 0.3%, ETA 5h43m
  197. Thu Nov 6 15:44:17 2025 checking every 20000 dimensions, checkpointing every 1620000 dimensions
  198. Thu Nov 6 21:09:48 2025 lanczos halted after 34931 iterations (dim = 8915437)
  199. Thu Nov 6 21:10:25 2025 recovered 29 nontrivial dependencies
  200. Thu Nov 6 21:10:26 2025 BLanczosTime: 19772
  201. Thu Nov 6 21:10:26 2025
  202. Thu Nov 6 21:10:26 2025 commencing square root phase
  203. Thu Nov 6 21:10:26 2025 handling dependencies 1 to 64
  204. Thu Nov 6 21:10:26 2025 reading relations for dependency 1
  205. Thu Nov 6 21:10:27 2025 read 4459118 cycles
  206. Thu Nov 6 21:10:34 2025 cycles contain 17843154 unique relations
  207. Thu Nov 6 21:15:51 2025 read 17843154 relations
  208. Thu Nov 6 21:18:18 2025 multiplying 17843154 relations
  209. Thu Nov 6 21:21:32 2025 multiply complete, coefficients have about 945.69 million bits
  210. Thu Nov 6 21:21:36 2025 initial square root is modulo 304973593
  211. Thu Nov 6 21:33:01 2025 sqrtTime: 1355
  212. Thu Nov 6 21:33:01 2025 p59 factor: 13668452813429227676666296866148272962404379251111430830043
  213. Thu Nov 6 21:33:01 2025 p105 factor: 115164366645168841190334897552079127036692825926073402518348933231114101931563033680325957554675863221833
  214. Thu Nov 6 21:33:01 2025 elapsed time 05:52:09
  215.  
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