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Aug 3rd, 2025
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  1. Mon Jul 28 21:41:58 2025
  2. Mon Jul 28 21:41:58 2025
  3. Mon Jul 28 21:41:58 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jul 28 21:41:58 2025 random seeds: 40cb5a3a f64cc185
  5. Mon Jul 28 21:41:58 2025 MPI process 0 of 1
  6. Mon Jul 28 21:41:58 2025 Using 32 OpenMP threads
  7. Mon Jul 28 21:41:58 2025 factoring 81055428847138894869436000461307013637187602579827516493453940872660591673741061405716231485006864944931431340654434400304647318748360694160098043925451481686780208323 (167 digits)
  8. Mon Jul 28 21:41:59 2025 searching for 15-digit factors
  9. Mon Jul 28 21:42:00 2025 commencing number field sieve (167-digit input)
  10. Mon Jul 28 21:42:00 2025 R0: -162652947936712387371866151447493
  11. Mon Jul 28 21:42:00 2025 R1: 8333980456033835468158513
  12. Mon Jul 28 21:42:00 2025 A0: -2133826113839922050128022652581300422560
  13. Mon Jul 28 21:42:00 2025 A1: 737919128314070109676815156884437
  14. Mon Jul 28 21:42:00 2025 A2: -546996369991442891504418390
  15. Mon Jul 28 21:42:00 2025 A3: -29364351341736521724
  16. Mon Jul 28 21:42:00 2025 A4: 10751536647388
  17. Mon Jul 28 21:42:00 2025 A5: 307440
  18. Mon Jul 28 21:42:00 2025 skew 8343687.68, size 3.585e-16, alpha -7.335, combined = 6.323e-13 rroots = 3
  19. Mon Jul 28 21:42:00 2025
  20. Mon Jul 28 21:42:00 2025 commencing relation filtering
  21. Mon Jul 28 21:42:00 2025 setting target matrix density to 120.0
  22. Mon Jul 28 21:42:00 2025 estimated available RAM is 257736.5 MB
  23. Mon Jul 28 21:42:00 2025 commencing duplicate removal, pass 1
  24. Mon Jul 28 21:43:42 2025 error -1 reading relation 44675825
  25. Mon Jul 28 21:44:25 2025 error -1 reading relation 63946244
  26. Mon Jul 28 21:45:12 2025 error -1 reading relation 86094606
  27. Mon Jul 28 21:45:50 2025 error -1 reading relation 103289854
  28. Mon Jul 28 21:46:17 2025 error -1 reading relation 114838524
  29. Mon Jul 28 21:46:18 2025 error -1 reading relation 115292275
  30. Mon Jul 28 21:47:14 2025 error -1 reading relation 141756374
  31. Mon Jul 28 21:47:15 2025 error -1 reading relation 142336513
  32. Mon Jul 28 21:47:44 2025 error -1 reading relation 155666756
  33. Mon Jul 28 21:47:49 2025 error -1 reading relation 158246855
  34. Mon Jul 28 21:48:06 2025 error -1 reading relation 165711706
  35. Mon Jul 28 21:49:24 2025 error -1 reading relation 202528188
  36. Mon Jul 28 21:50:15 2025 error -1 reading relation 225826780
  37. Mon Jul 28 21:50:19 2025 error -1 reading relation 227861262
  38. Mon Jul 28 21:50:19 2025 error -1 reading relation 227885716
  39. Mon Jul 28 21:51:30 2025 skipped 100 malformed relations
  40. Mon Jul 28 21:51:30 2025 found 49906189 hash collisions in 259953661 relations
  41. Mon Jul 28 21:51:55 2025 commencing duplicate removal, pass 2
  42. Mon Jul 28 21:58:09 2025 found 48304562 duplicates and 211649099 unique relations
  43. Mon Jul 28 21:58:09 2025 memory use: 1449.5 MB
  44. Mon Jul 28 21:58:10 2025 reading ideals above 720000
  45. Mon Jul 28 21:58:10 2025 commencing singleton removal, initial pass
  46. Mon Jul 28 22:16:27 2025 memory use: 6024.0 MB
  47. Mon Jul 28 22:16:28 2025 reading all ideals from disk
  48. Mon Jul 28 22:16:33 2025 memory use: 9725.3 MB
  49. Mon Jul 28 22:17:08 2025 keeping 217921684 ideals with weight <= 200, target excess is 1029573
  50. Mon Jul 28 22:17:51 2025 commencing in-memory singleton removal
  51. Mon Jul 28 22:17:56 2025 begin with 211649099 relations and 217921684 unique ideals
  52. Mon Jul 28 22:18:16 2025 reduce to 97515717 relations and 87266830 ideals in 18 passes
  53. Mon Jul 28 22:18:16 2025 max relations containing the same ideal: 125
  54. Mon Jul 28 22:19:19 2025 removing 8554792 relations and 7554792 ideals in 1000000 cliques
  55. Mon Jul 28 22:19:25 2025 commencing in-memory singleton removal
  56. Mon Jul 28 22:19:27 2025 begin with 88960925 relations and 87266830 unique ideals
  57. Mon Jul 28 22:19:35 2025 reduce to 88343590 relations and 79085935 ideals in 10 passes
  58. Mon Jul 28 22:19:35 2025 max relations containing the same ideal: 115
  59. Mon Jul 28 22:20:26 2025 removing 6394072 relations and 5394072 ideals in 1000000 cliques
  60. Mon Jul 28 22:20:29 2025 commencing in-memory singleton removal
  61. Mon Jul 28 22:20:31 2025 begin with 81949518 relations and 79085935 unique ideals
  62. Mon Jul 28 22:20:38 2025 reduce to 81553973 relations and 73291521 ideals in 9 passes
  63. Mon Jul 28 22:20:38 2025 max relations containing the same ideal: 109
  64. Mon Jul 28 22:21:37 2025 removing 5726889 relations and 4726889 ideals in 1000000 cliques
  65. Mon Jul 28 22:21:41 2025 commencing in-memory singleton removal
  66. Mon Jul 28 22:21:43 2025 begin with 75827084 relations and 73291521 unique ideals
  67. Mon Jul 28 22:21:49 2025 reduce to 75478186 relations and 68211553 ideals in 10 passes
  68. Mon Jul 28 22:21:49 2025 max relations containing the same ideal: 103
  69. Mon Jul 28 22:22:31 2025 removing 5382265 relations and 4382265 ideals in 1000000 cliques
  70. Mon Jul 28 22:22:35 2025 commencing in-memory singleton removal
  71. Mon Jul 28 22:22:37 2025 begin with 70095921 relations and 68211553 unique ideals
  72. Mon Jul 28 22:22:42 2025 reduce to 69762349 relations and 63491464 ideals in 9 passes
  73. Mon Jul 28 22:22:42 2025 max relations containing the same ideal: 98
  74. Mon Jul 28 22:23:25 2025 removing 5181657 relations and 4181657 ideals in 1000000 cliques
  75. Mon Jul 28 22:23:30 2025 commencing in-memory singleton removal
  76. Mon Jul 28 22:23:31 2025 begin with 64580692 relations and 63491464 unique ideals
  77. Mon Jul 28 22:23:35 2025 reduce to 64245700 relations and 58970347 ideals in 8 passes
  78. Mon Jul 28 22:23:35 2025 max relations containing the same ideal: 95
  79. Mon Jul 28 22:24:15 2025 removing 5058198 relations and 4058198 ideals in 1000000 cliques
  80. Mon Jul 28 22:24:18 2025 commencing in-memory singleton removal
  81. Mon Jul 28 22:24:19 2025 begin with 59187502 relations and 58970347 unique ideals
  82. Mon Jul 28 22:24:24 2025 reduce to 58839250 relations and 54558967 ideals in 9 passes
  83. Mon Jul 28 22:24:24 2025 max relations containing the same ideal: 92
  84. Mon Jul 28 22:25:01 2025 removing 4983712 relations and 3983712 ideals in 1000000 cliques
  85. Mon Jul 28 22:25:04 2025 commencing in-memory singleton removal
  86. Mon Jul 28 22:25:05 2025 begin with 53855538 relations and 54558967 unique ideals
  87. Mon Jul 28 22:25:09 2025 reduce to 53481889 relations and 50195963 ideals in 10 passes
  88. Mon Jul 28 22:25:09 2025 max relations containing the same ideal: 87
  89. Mon Jul 28 22:25:40 2025 removing 4965350 relations and 3965350 ideals in 1000000 cliques
  90. Mon Jul 28 22:25:43 2025 commencing in-memory singleton removal
  91. Mon Jul 28 22:25:44 2025 begin with 48516539 relations and 50195963 unique ideals
  92. Mon Jul 28 22:25:48 2025 reduce to 48103344 relations and 45810518 ideals in 10 passes
  93. Mon Jul 28 22:25:48 2025 max relations containing the same ideal: 80
  94. Mon Jul 28 22:26:13 2025 removing 4979107 relations and 3979107 ideals in 1000000 cliques
  95. Mon Jul 28 22:26:15 2025 commencing in-memory singleton removal
  96. Mon Jul 28 22:26:16 2025 begin with 43124237 relations and 45810518 unique ideals
  97. Mon Jul 28 22:26:19 2025 reduce to 42654716 relations and 41353444 ideals in 10 passes
  98. Mon Jul 28 22:26:19 2025 max relations containing the same ideal: 73
  99. Mon Jul 28 22:26:44 2025 removing 839944 relations and 732977 ideals in 106967 cliques
  100. Mon Jul 28 22:26:46 2025 commencing in-memory singleton removal
  101. Mon Jul 28 22:26:47 2025 begin with 41814772 relations and 41353444 unique ideals
  102. Mon Jul 28 22:26:50 2025 reduce to 41802127 relations and 40607786 ideals in 7 passes
  103. Mon Jul 28 22:26:50 2025 max relations containing the same ideal: 72
  104. Mon Jul 28 22:26:55 2025 relations with 0 large ideals: 3696
  105. Mon Jul 28 22:26:55 2025 relations with 1 large ideals: 28254
  106. Mon Jul 28 22:26:55 2025 relations with 2 large ideals: 376784
  107. Mon Jul 28 22:26:55 2025 relations with 3 large ideals: 2118897
  108. Mon Jul 28 22:26:55 2025 relations with 4 large ideals: 6327917
  109. Mon Jul 28 22:26:55 2025 relations with 5 large ideals: 11005537
  110. Mon Jul 28 22:26:55 2025 relations with 6 large ideals: 11548900
  111. Mon Jul 28 22:26:55 2025 relations with 7+ large ideals: 10392142
  112. Mon Jul 28 22:26:55 2025 commencing 2-way merge
  113. Mon Jul 28 22:27:32 2025 reduce to 24517610 relation sets and 23323268 unique ideals
  114. Mon Jul 28 22:27:32 2025 commencing full merge
  115. Mon Jul 28 22:40:03 2025 memory use: 2667.0 MB
  116. Mon Jul 28 22:40:07 2025 found 10409370 cycles, need 10393468
  117. Mon Jul 28 22:40:10 2025 weight of 10393468 cycles is about 1247915700 (120.07/cycle)
  118. Mon Jul 28 22:40:10 2025 distribution of cycle lengths:
  119. Mon Jul 28 22:40:10 2025 1 relations: 889305
  120. Mon Jul 28 22:40:10 2025 2 relations: 741287
  121. Mon Jul 28 22:40:10 2025 3 relations: 727830
  122. Mon Jul 28 22:40:10 2025 4 relations: 699457
  123. Mon Jul 28 22:40:10 2025 5 relations: 690275
  124. Mon Jul 28 22:40:10 2025 6 relations: 656945
  125. Mon Jul 28 22:40:10 2025 7 relations: 626368
  126. Mon Jul 28 22:40:10 2025 8 relations: 595694
  127. Mon Jul 28 22:40:10 2025 9 relations: 562764
  128. Mon Jul 28 22:40:10 2025 10+ relations: 4203543
  129. Mon Jul 28 22:40:10 2025 heaviest cycle: 28 relations
  130. Mon Jul 28 22:40:14 2025 commencing cycle optimization
  131. Mon Jul 28 22:40:43 2025 start with 92991674 relations
  132. Mon Jul 28 22:45:46 2025 pruned 3295974 relations
  133. Mon Jul 28 22:45:46 2025 memory use: 2634.6 MB
  134. Mon Jul 28 22:45:47 2025 distribution of cycle lengths:
  135. Mon Jul 28 22:45:47 2025 1 relations: 889305
  136. Mon Jul 28 22:45:47 2025 2 relations: 759561
  137. Mon Jul 28 22:45:47 2025 3 relations: 755028
  138. Mon Jul 28 22:45:47 2025 4 relations: 722060
  139. Mon Jul 28 22:45:47 2025 5 relations: 715626
  140. Mon Jul 28 22:45:47 2025 6 relations: 678628
  141. Mon Jul 28 22:45:47 2025 7 relations: 648454
  142. Mon Jul 28 22:45:47 2025 8 relations: 614528
  143. Mon Jul 28 22:45:47 2025 9 relations: 579006
  144. Mon Jul 28 22:45:47 2025 10+ relations: 4031272
  145. Mon Jul 28 22:45:47 2025 heaviest cycle: 28 relations
  146. Mon Jul 28 22:46:14 2025 RelProcTime: 3854
  147. Mon Jul 28 22:46:14 2025
  148. Mon Jul 28 22:46:14 2025 commencing linear algebra
  149. Mon Jul 28 22:46:14 2025 using VBITS=256
  150. Mon Jul 28 22:46:14 2025 stopping after matrix build
  151. Mon Jul 28 22:46:14 2025 initialized process (0,0) of 1 x 1 grid
  152. Mon Jul 28 22:46:15 2025 read 10393468 cycles
  153. Mon Jul 28 22:46:40 2025 cycles contain 40900307 unique relations
  154. Mon Jul 28 22:51:23 2025 read 40900307 relations
  155. Mon Jul 28 22:51:29 2025 using 20 quadratic characters above 4294917295
  156. Mon Jul 28 22:51:35 2025 building initial matrix
  157. Mon Jul 28 23:01:24 2025 memory use: 5583.7 MB
  158. Mon Jul 28 23:01:34 2025 read 10393468 cycles
  159. Mon Jul 28 23:01:35 2025 matrix is 10393291 x 10393468 (4946.7 MB) with weight 1520060565 (146.25/col)
  160. Mon Jul 28 23:01:35 2025 sparse part has weight 1172018108 (112.76/col)
  161. Mon Jul 28 23:04:21 2025 filtering completed in 2 passes
  162. Mon Jul 28 23:04:24 2025 matrix is 10392719 x 10392895 (4946.6 MB) with weight 1520033354 (146.26/col)
  163. Mon Jul 28 23:04:24 2025 sparse part has weight 1172011888 (112.77/col)
  164. Mon Jul 28 23:05:28 2025 BLanczosTime: 1154
  165. Mon Jul 28 23:05:28 2025 elapsed time 01:23:30
  166. Mon Jul 28 23:42:39 2025
  167. Mon Jul 28 23:42:39 2025
  168. Mon Jul 28 23:42:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  169. Mon Jul 28 23:42:39 2025 random seeds: 9bf5436e 52a98742
  170. Mon Jul 28 23:42:39 2025 Using 64 OpenMP threads
  171. Mon Jul 28 23:42:39 2025 factoring 81055428847138894869436000461307013637187602579827516493453940872660591673741061405716231485006864944931431340654434400304647318748360694160098043925451481686780208323 (167 digits)
  172. Mon Jul 28 23:42:40 2025 searching for 15-digit factors
  173. Mon Jul 28 23:42:40 2025 commencing number field sieve (167-digit input)
  174. Mon Jul 28 23:42:40 2025 R0: -162652947936712387371866151447493
  175. Mon Jul 28 23:42:40 2025 R1: 8333980456033835468158513
  176. Mon Jul 28 23:42:40 2025 A0: -2133826113839922050128022652581300422560
  177. Mon Jul 28 23:42:40 2025 A1: 737919128314070109676815156884437
  178. Mon Jul 28 23:42:40 2025 A2: -546996369991442891504418390
  179. Mon Jul 28 23:42:40 2025 A3: -29364351341736521724
  180. Mon Jul 28 23:42:40 2025 A4: 10751536647388
  181. Mon Jul 28 23:42:40 2025 A5: 307440
  182. Mon Jul 28 23:42:40 2025 skew 8343687.68, size 3.585e-16, alpha -7.335, combined = 6.323e-13 rroots = 3
  183. Mon Jul 28 23:42:40 2025
  184. Mon Jul 28 23:42:40 2025 commencing linear algebra
  185. Mon Jul 28 23:42:40 2025 using VBITS=256
  186. Mon Jul 28 23:42:40 2025 skipping matrix build
  187. Mon Jul 28 23:42:43 2025 matrix starts at (0, 0)
  188. Mon Jul 28 23:42:44 2025 matrix is 10392719 x 10392895 (4946.6 MB) with weight 1520033354 (146.26/col)
  189. Mon Jul 28 23:42:44 2025 sparse part has weight 1172011888 (112.77/col)
  190. Mon Jul 28 23:42:44 2025 saving the first 240 matrix rows for later
  191. Mon Jul 28 23:42:47 2025 matrix includes 256 packed rows
  192. Mon Jul 28 23:42:50 2025 matrix is 10392479 x 10392895 (4469.1 MB) with weight 1074852157 (103.42/col)
  193. Mon Jul 28 23:42:50 2025 sparse part has weight 1005271329 (96.73/col)
  194. Mon Jul 28 23:42:50 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Mon Jul 28 23:43:11 2025 commencing Lanczos iteration (64 threads)
  196. Mon Jul 28 23:43:11 2025 memory use: 6124.4 MB
  197. Mon Jul 28 23:44:47 2025 linear algebra at 0.3%, ETA 8h55m
  198. Mon Jul 28 23:47:05 2025 checking every 10000 dimensions, checkpointing every 1190000 dimensions
  199. Tue Jul 29 08:20:56 2025 lanczos halted after 40719 iterations (dim = 10392479)
  200. Tue Jul 29 08:21:30 2025 recovered 32 nontrivial dependencies
  201. Tue Jul 29 08:21:31 2025 BLanczosTime: 31131
  202. Tue Jul 29 08:21:31 2025
  203. Tue Jul 29 08:21:31 2025 commencing square root phase
  204. Tue Jul 29 08:21:31 2025 handling dependencies 1 to 64
  205. Tue Jul 29 08:21:31 2025 reading relations for dependency 1
  206. Tue Jul 29 08:21:32 2025 read 5196106 cycles
  207. Tue Jul 29 08:21:41 2025 cycles contain 20448456 unique relations
  208. Tue Jul 29 08:25:48 2025 read 20448456 relations
  209. Tue Jul 29 08:27:19 2025 multiplying 20448456 relations
  210. Tue Jul 29 08:42:04 2025 multiply complete, coefficients have about 1132.91 million bits
  211. Tue Jul 29 08:42:09 2025 initial square root is modulo 120763
  212. Tue Jul 29 08:54:03 2025 sqrtTime: 1952
  213. Tue Jul 29 08:54:03 2025 p66 factor: 172103954729379377975186426882835052248939551131409175751367313787
  214. Tue Jul 29 08:54:03 2025 p102 factor: 470967846000938829720076300551513326749639464763853584481303911584469647396722533453979639134428445529
  215. Tue Jul 29 08:54:03 2025 elapsed time 09:11:24
  216.  
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