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Aug 18th, 2025
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  1. Fri Aug 15 15:42:59 2025 Msieve v. 1.54 (SVN Unversioned directory)
  2. Fri Aug 15 15:42:59 2025 random seeds: 5ea11a73 6c793daa
  3. Fri Aug 15 15:42:59 2025 MPI process 0 of 1
  4. Fri Aug 15 15:42:59 2025 Using 32 OpenMP threads
  5. Fri Aug 15 15:42:59 2025 factoring 2656284156091389584143085559251498413551451779083279085850789257265771132475034653779517528449928418750374257612064151937167493438488923440139865622054983323777731199 (166 digits)
  6. Fri Aug 15 15:43:00 2025 searching for 15-digit factors
  7. Fri Aug 15 15:43:00 2025 commencing number field sieve (166-digit input)
  8. Fri Aug 15 15:43:00 2025 R0: 69368146940232078232919060384407
  9. Fri Aug 15 15:43:00 2025 R1: 65160132560958057786311641
  10. Fri Aug 15 15:43:00 2025 A0: -1251589813813499701055843460488189460
  11. Fri Aug 15 15:43:00 2025 A1: 1594154022530060978924995526446
  12. Fri Aug 15 15:43:00 2025 A2: 8718289625629386519636184
  13. Fri Aug 15 15:43:00 2025 A3: -2100272217717837239
  14. Fri Aug 15 15:43:00 2025 A4: -5272538602872
  15. Fri Aug 15 15:43:00 2025 A5: 316260
  16. Fri Aug 15 15:43:00 2025 skew 1006244.26, size 5.077e-16, alpha -4.711, combined = 7.753e-13 rroots = 5
  17. Fri Aug 15 15:43:00 2025
  18. Fri Aug 15 15:43:00 2025 commencing relation filtering
  19. Fri Aug 15 15:43:00 2025 setting target matrix density to 120.0
  20. Fri Aug 15 15:43:00 2025 estimated available RAM is 257736.5 MB
  21. Fri Aug 15 15:43:00 2025 commencing duplicate removal, pass 1
  22. Fri Aug 15 15:48:38 2025 error -1 reading relation 152422331
  23. Fri Aug 15 15:49:00 2025 error -1 reading relation 163146290
  24. Fri Aug 15 15:50:19 2025 error -1 reading relation 198099875
  25. Fri Aug 15 15:50:45 2025 error -1 reading relation 209974556
  26. Fri Aug 15 15:51:04 2025 error -1 reading relation 218847713
  27. Fri Aug 15 15:52:42 2025 skipped 1 relations with composite factors
  28. Fri Aug 15 15:52:42 2025 skipped 86 malformed relations
  29. Fri Aug 15 15:52:42 2025 found 47494378 hash collisions in 264586877 relations
  30. Fri Aug 15 15:53:13 2025 commencing duplicate removal, pass 2
  31. Fri Aug 15 15:59:49 2025 found 44215151 duplicates and 220371726 unique relations
  32. Fri Aug 15 15:59:49 2025 memory use: 1449.5 MB
  33. Fri Aug 15 15:59:49 2025 reading ideals above 720000
  34. Fri Aug 15 15:59:49 2025 commencing singleton removal, initial pass
  35. Fri Aug 15 16:20:08 2025 memory use: 6024.0 MB
  36. Fri Aug 15 16:20:09 2025 reading all ideals from disk
  37. Fri Aug 15 16:20:14 2025 memory use: 10123.5 MB
  38. Fri Aug 15 16:20:51 2025 keeping 220633309 ideals with weight <= 200, target excess is 1074415
  39. Fri Aug 15 16:21:30 2025 commencing in-memory singleton removal
  40. Fri Aug 15 16:21:35 2025 begin with 220371726 relations and 220633309 unique ideals
  41. Fri Aug 15 16:21:54 2025 reduce to 108985126 relations and 93977943 ideals in 16 passes
  42. Fri Aug 15 16:21:54 2025 max relations containing the same ideal: 134
  43. Fri Aug 15 16:23:05 2025 removing 12913303 relations and 10913303 ideals in 2000000 cliques
  44. Fri Aug 15 16:23:12 2025 commencing in-memory singleton removal
  45. Fri Aug 15 16:23:15 2025 begin with 96071823 relations and 93977943 unique ideals
  46. Fri Aug 15 16:23:23 2025 reduce to 94843284 relations and 81807272 ideals in 10 passes
  47. Fri Aug 15 16:23:23 2025 max relations containing the same ideal: 123
  48. Fri Aug 15 16:24:17 2025 removing 9859363 relations and 7859363 ideals in 2000000 cliques
  49. Fri Aug 15 16:24:22 2025 commencing in-memory singleton removal
  50. Fri Aug 15 16:24:24 2025 begin with 84983921 relations and 81807272 unique ideals
  51. Fri Aug 15 16:24:31 2025 reduce to 84131044 relations and 73076586 ideals in 10 passes
  52. Fri Aug 15 16:24:31 2025 max relations containing the same ideal: 113
  53. Fri Aug 15 16:25:14 2025 removing 8958366 relations and 6958366 ideals in 2000000 cliques
  54. Fri Aug 15 16:25:18 2025 commencing in-memory singleton removal
  55. Fri Aug 15 16:25:20 2025 begin with 75172678 relations and 73076586 unique ideals
  56. Fri Aug 15 16:25:25 2025 reduce to 74374118 relations and 65301506 ideals in 8 passes
  57. Fri Aug 15 16:25:25 2025 max relations containing the same ideal: 101
  58. Fri Aug 15 16:26:14 2025 removing 8540242 relations and 6540242 ideals in 2000000 cliques
  59. Fri Aug 15 16:26:21 2025 commencing in-memory singleton removal
  60. Fri Aug 15 16:26:22 2025 begin with 65833876 relations and 65301506 unique ideals
  61. Fri Aug 15 16:26:27 2025 reduce to 65012586 relations and 57919561 ideals in 11 passes
  62. Fri Aug 15 16:26:27 2025 max relations containing the same ideal: 93
  63. Fri Aug 15 16:27:11 2025 removing 8329799 relations and 6329799 ideals in 2000000 cliques
  64. Fri Aug 15 16:27:14 2025 commencing in-memory singleton removal
  65. Fri Aug 15 16:27:16 2025 begin with 56682787 relations and 57919561 unique ideals
  66. Fri Aug 15 16:27:20 2025 reduce to 55784087 relations and 50666051 ideals in 10 passes
  67. Fri Aug 15 16:27:20 2025 max relations containing the same ideal: 84
  68. Fri Aug 15 16:27:59 2025 removing 8255732 relations and 6255732 ideals in 2000000 cliques
  69. Fri Aug 15 16:28:03 2025 commencing in-memory singleton removal
  70. Fri Aug 15 16:28:04 2025 begin with 47528355 relations and 50666051 unique ideals
  71. Fri Aug 15 16:28:08 2025 reduce to 46481389 relations and 43329907 ideals in 11 passes
  72. Fri Aug 15 16:28:08 2025 max relations containing the same ideal: 74
  73. Fri Aug 15 16:28:40 2025 removing 7997198 relations and 6092038 ideals in 1905160 cliques
  74. Fri Aug 15 16:28:43 2025 commencing in-memory singleton removal
  75. Fri Aug 15 16:28:44 2025 begin with 38484191 relations and 43329907 unique ideals
  76. Fri Aug 15 16:28:46 2025 reduce to 37275358 relations and 35984501 ideals in 10 passes
  77. Fri Aug 15 16:28:46 2025 max relations containing the same ideal: 68
  78. Fri Aug 15 16:29:10 2025 removing 419013 relations and 374478 ideals in 44535 cliques
  79. Fri Aug 15 16:29:12 2025 commencing in-memory singleton removal
  80. Fri Aug 15 16:29:13 2025 begin with 36856345 relations and 35984501 unique ideals
  81. Fri Aug 15 16:29:15 2025 reduce to 36853322 relations and 35606993 ideals in 6 passes
  82. Fri Aug 15 16:29:15 2025 max relations containing the same ideal: 68
  83. Fri Aug 15 16:29:20 2025 relations with 0 large ideals: 3914
  84. Fri Aug 15 16:29:20 2025 relations with 1 large ideals: 31797
  85. Fri Aug 15 16:29:20 2025 relations with 2 large ideals: 411354
  86. Fri Aug 15 16:29:20 2025 relations with 3 large ideals: 2192688
  87. Fri Aug 15 16:29:20 2025 relations with 4 large ideals: 6176693
  88. Fri Aug 15 16:29:20 2025 relations with 5 large ideals: 10068469
  89. Fri Aug 15 16:29:20 2025 relations with 6 large ideals: 9867676
  90. Fri Aug 15 16:29:20 2025 relations with 7+ large ideals: 8100731
  91. Fri Aug 15 16:29:20 2025 commencing 2-way merge
  92. Fri Aug 15 16:29:53 2025 reduce to 21598710 relation sets and 20352381 unique ideals
  93. Fri Aug 15 16:29:53 2025 commencing full merge
  94. Fri Aug 15 16:40:08 2025 memory use: 2391.8 MB
  95. Fri Aug 15 16:40:10 2025 found 9280900 cycles, need 9256581
  96. Fri Aug 15 16:40:13 2025 weight of 9256581 cycles is about 1111269108 (120.05/cycle)
  97. Fri Aug 15 16:40:13 2025 distribution of cycle lengths:
  98. Fri Aug 15 16:40:13 2025 1 relations: 756429
  99. Fri Aug 15 16:40:13 2025 2 relations: 653679
  100. Fri Aug 15 16:40:13 2025 3 relations: 648271
  101. Fri Aug 15 16:40:13 2025 4 relations: 620147
  102. Fri Aug 15 16:40:13 2025 5 relations: 622488
  103. Fri Aug 15 16:40:13 2025 6 relations: 597026
  104. Fri Aug 15 16:40:13 2025 7 relations: 578460
  105. Fri Aug 15 16:40:13 2025 8 relations: 549979
  106. Fri Aug 15 16:40:13 2025 9 relations: 523534
  107. Fri Aug 15 16:40:13 2025 10+ relations: 3706568
  108. Fri Aug 15 16:40:13 2025 heaviest cycle: 28 relations
  109. Fri Aug 15 16:40:17 2025 commencing cycle optimization
  110. Fri Aug 15 16:40:43 2025 start with 82238177 relations
  111. Fri Aug 15 16:44:53 2025 pruned 3083840 relations
  112. Fri Aug 15 16:44:53 2025 memory use: 2319.8 MB
  113. Fri Aug 15 16:44:53 2025 distribution of cycle lengths:
  114. Fri Aug 15 16:44:53 2025 1 relations: 756429
  115. Fri Aug 15 16:44:53 2025 2 relations: 669958
  116. Fri Aug 15 16:44:54 2025 3 relations: 672038
  117. Fri Aug 15 16:44:54 2025 4 relations: 641492
  118. Fri Aug 15 16:44:54 2025 5 relations: 646915
  119. Fri Aug 15 16:44:54 2025 6 relations: 618463
  120. Fri Aug 15 16:44:54 2025 7 relations: 601442
  121. Fri Aug 15 16:44:54 2025 8 relations: 570565
  122. Fri Aug 15 16:44:54 2025 9 relations: 540569
  123. Fri Aug 15 16:44:54 2025 10+ relations: 3538710
  124. Fri Aug 15 16:44:54 2025 heaviest cycle: 28 relations
  125. Fri Aug 15 16:45:22 2025 RelProcTime: 3742
  126. Fri Aug 15 16:45:22 2025
  127. Fri Aug 15 16:45:22 2025 commencing linear algebra
  128. Fri Aug 15 16:45:22 2025 using VBITS=256
  129. Fri Aug 15 16:45:22 2025 stopping after matrix build
  130. Fri Aug 15 16:45:22 2025 initialized process (0,0) of 1 x 1 grid
  131. Fri Aug 15 16:45:23 2025 read 9256581 cycles
  132. Fri Aug 15 16:45:47 2025 cycles contain 35861200 unique relations
  133. Fri Aug 15 16:50:15 2025 read 35861200 relations
  134. Fri Aug 15 16:50:20 2025 using 20 quadratic characters above 4294917295
  135. Fri Aug 15 16:50:25 2025 building initial matrix
  136. Fri Aug 15 16:58:52 2025 memory use: 4547.3 MB
  137. Fri Aug 15 16:59:02 2025 read 9256581 cycles
  138. Fri Aug 15 16:59:04 2025 matrix is 9256404 x 9256581 (4354.1 MB) with weight 1306352807 (141.13/col)
  139. Fri Aug 15 16:59:04 2025 sparse part has weight 1039585984 (112.31/col)
  140. Fri Aug 15 17:01:33 2025 filtering completed in 2 passes
  141. Fri Aug 15 17:01:36 2025 matrix is 9255756 x 9255933 (4354.1 MB) with weight 1306320594 (141.13/col)
  142. Fri Aug 15 17:01:36 2025 sparse part has weight 1039574097 (112.31/col)
  143. Fri Aug 15 17:02:34 2025 BLanczosTime: 1032
  144. Fri Aug 15 17:02:34 2025 elapsed time 01:19:35
  145. Fri Aug 15 17:03:52 2025
  146. Fri Aug 15 17:03:52 2025
  147. Fri Aug 15 17:03:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  148. Fri Aug 15 17:03:52 2025 random seeds: 38ea34af a35af1f2
  149. Fri Aug 15 17:03:52 2025 MPI process 0 of 1
  150. Fri Aug 15 17:03:52 2025 Using 64 OpenMP threads
  151. Fri Aug 15 17:03:52 2025 factoring 2656284156091389584143085559251498413551451779083279085850789257265771132475034653779517528449928418750374257612064151937167493438488923440139865622054983323777731199 (166 digits)
  152. Fri Aug 15 17:03:52 2025 searching for 15-digit factors
  153. Fri Aug 15 17:03:53 2025 commencing number field sieve (166-digit input)
  154. Fri Aug 15 17:03:53 2025 R0: 69368146940232078232919060384407
  155. Fri Aug 15 17:03:53 2025 R1: 65160132560958057786311641
  156. Fri Aug 15 17:03:53 2025 A0: -1251589813813499701055843460488189460
  157. Fri Aug 15 17:03:53 2025 A1: 1594154022530060978924995526446
  158. Fri Aug 15 17:03:53 2025 A2: 8718289625629386519636184
  159. Fri Aug 15 17:03:53 2025 A3: -2100272217717837239
  160. Fri Aug 15 17:03:53 2025 A4: -5272538602872
  161. Fri Aug 15 17:03:53 2025 A5: 316260
  162. Fri Aug 15 17:03:53 2025 skew 1006244.26, size 5.077e-16, alpha -4.711, combined = 7.753e-13 rroots = 5
  163. Fri Aug 15 17:03:53 2025
  164. Fri Aug 15 17:03:53 2025 commencing linear algebra
  165. Fri Aug 15 17:03:53 2025 using VBITS=256
  166. Fri Aug 15 17:03:53 2025 skipping matrix build
  167. Fri Aug 15 17:03:53 2025 initialized process (0,0) of 1 x 1 grid
  168. Fri Aug 15 17:03:57 2025 matrix starts at (0, 0)
  169. Fri Aug 15 17:03:59 2025 matrix is 9255756 x 9255933 (4354.1 MB) with weight 1306320594 (141.13/col)
  170. Fri Aug 15 17:03:59 2025 sparse part has weight 1039574097 (112.31/col)
  171. Fri Aug 15 17:03:59 2025 saving the first 240 matrix rows for later
  172. Fri Aug 15 17:04:01 2025 matrix includes 256 packed rows
  173. Fri Aug 15 17:04:04 2025 matrix is 9255516 x 9255933 (3954.2 MB) with weight 946097583 (102.22/col)
  174. Fri Aug 15 17:04:04 2025 sparse part has weight 888465866 (95.99/col)
  175. Fri Aug 15 17:04:04 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  176. Fri Aug 15 17:04:23 2025 commencing Lanczos iteration (64 threads)
  177. Fri Aug 15 17:04:23 2025 memory use: 5715.3 MB
  178. Fri Aug 15 17:05:40 2025 linear algebra at 0.3%, ETA 6h21m
  179. Fri Aug 15 17:07:34 2025 checking every 20000 dimensions, checkpointing every 1460000 dimensions
  180. Fri Aug 15 23:31:04 2025 lanczos halted after 36264 iterations (dim = 9255513)
  181. Fri Aug 15 23:31:52 2025 recovered 29 nontrivial dependencies
  182. Fri Aug 15 23:31:52 2025 BLanczosTime: 23279
  183. Fri Aug 15 23:31:52 2025
  184. Fri Aug 15 23:31:52 2025 commencing square root phase
  185. Fri Aug 15 23:31:52 2025 handling dependencies 1 to 64
  186. Fri Aug 15 23:31:52 2025 reading relations for dependency 1
  187. Fri Aug 15 23:31:53 2025 read 4627979 cycles
  188. Fri Aug 15 23:32:01 2025 cycles contain 17928458 unique relations
  189. Fri Aug 15 23:35:39 2025 read 17928458 relations
  190. Fri Aug 15 23:36:39 2025 multiplying 17928458 relations
  191. Fri Aug 15 23:38:13 2025 multiply complete, coefficients have about 1003.85 million bits
  192. Fri Aug 15 23:38:16 2025 initial square root is modulo 1013868407
  193. Fri Aug 15 23:43:28 2025 sqrtTime: 696
  194. Fri Aug 15 23:43:28 2025 p83 factor: 24518551351550659056357605171153928255257613696204805333828243046779929839349302413
  195. Fri Aug 15 23:43:28 2025 p84 factor: 108337728359444641680157933580650941283134155328410618010067153469427115725147108923
  196. Fri Aug 15 23:43:28 2025 elapsed time 06:39:36
  197.  
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