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Jul 27th, 2025
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  1. Sun Jul 27 05:36:32 2025
  2. Sun Jul 27 05:36:32 2025
  3. Sun Jul 27 05:36:32 2025 Msieve v. 1.54 (SVN unknown)
  4. Sun Jul 27 05:36:32 2025 random seeds: 67b7cbf0 e9591ed2
  5. Sun Jul 27 05:36:32 2025 MPI process 0 of 1
  6. Sun Jul 27 05:36:32 2025 Using 32 OpenMP threads
  7. Sun Jul 27 05:36:32 2025 factoring 130859852117019816538349324288854636337329580476581334916852998133721149001797358495664702537060600779869777659863518912411018992327372783260023535270318961593043 (162 digits)
  8. Sun Jul 27 05:36:32 2025 searching for 15-digit factors
  9. Sun Jul 27 05:36:33 2025 commencing number field sieve (162-digit input)
  10. Sun Jul 27 05:36:33 2025 R0: -17252740382404598627455235339565
  11. Sun Jul 27 05:36:33 2025 R1: 6420694787087753948131127
  12. Sun Jul 27 05:36:33 2025 A0: -18352714143022370808306352197816786
  13. Sun Jul 27 05:36:33 2025 A1: -266415571627131867549915741371
  14. Sun Jul 27 05:36:33 2025 A2: 26129024172660379367646789
  15. Sun Jul 27 05:36:33 2025 A3: 10521155377829678414
  16. Sun Jul 27 05:36:33 2025 A4: -106317532751040
  17. Sun Jul 27 05:36:33 2025 A5: 50122800
  18. Sun Jul 27 05:36:33 2025 skew 473543.34, size 1.154e-15, alpha -7.282, combined = 1.258e-12 rroots = 5
  19. Sun Jul 27 05:36:33 2025
  20. Sun Jul 27 05:36:33 2025 commencing relation filtering
  21. Sun Jul 27 05:36:33 2025 setting target matrix density to 130.0
  22. Sun Jul 27 05:36:33 2025 estimated available RAM is 64014.5 MB
  23. Sun Jul 27 05:36:33 2025 commencing duplicate removal, pass 1
  24. Sun Jul 27 05:36:48 2025 error -15 reading relation 27218799
  25. Sun Jul 27 05:36:53 2025 error -1 reading relation 36687636
  26. Sun Jul 27 05:36:54 2025 error -1 reading relation 38012094
  27. Sun Jul 27 05:37:24 2025 error -1 reading relation 93152698
  28. Sun Jul 27 05:37:35 2025 error -1 reading relation 112115990
  29. Sun Jul 27 05:37:37 2025 error -1 reading relation 116270458
  30. Sun Jul 27 05:37:38 2025 error -1 reading relation 118044063
  31. Sun Jul 27 05:37:55 2025 error -1 reading relation 156482519
  32. Sun Jul 27 05:38:06 2025 error -1 reading relation 176816233
  33. Sun Jul 27 05:38:06 2025 error -1 reading relation 177037624
  34. Sun Jul 27 05:38:06 2025 error -1 reading relation 177381938
  35. Sun Jul 27 05:38:10 2025 error -1 reading relation 183886240
  36. Sun Jul 27 05:38:10 2025 error -1 reading relation 183927437
  37. Sun Jul 27 05:38:11 2025 error -1 reading relation 185323612
  38. Sun Jul 27 05:38:11 2025 skipped 164 malformed relations
  39. Sun Jul 27 05:38:11 2025 found 31716716 hash collisions in 186058719 relations
  40. Sun Jul 27 05:38:22 2025 commencing duplicate removal, pass 2
  41. Sun Jul 27 05:39:06 2025 found 30918883 duplicates and 155139836 unique relations
  42. Sun Jul 27 05:39:06 2025 memory use: 852.8 MB
  43. Sun Jul 27 05:39:06 2025 reading ideals above 720000
  44. Sun Jul 27 05:39:06 2025 commencing singleton removal, initial pass
  45. Sun Jul 27 05:42:07 2025 memory use: 3012.0 MB
  46. Sun Jul 27 05:42:08 2025 reading all ideals from disk
  47. Sun Jul 27 05:42:10 2025 memory use: 7025.2 MB
  48. Sun Jul 27 05:42:16 2025 keeping 134530960 ideals with weight <= 200, target excess is 756911
  49. Sun Jul 27 05:42:23 2025 commencing in-memory singleton removal
  50. Sun Jul 27 05:42:26 2025 begin with 155139836 relations and 134530960 unique ideals
  51. Sun Jul 27 05:42:43 2025 reduce to 107843828 relations and 83054848 ideals in 13 passes
  52. Sun Jul 27 05:42:43 2025 max relations containing the same ideal: 168
  53. Sun Jul 27 05:43:01 2025 removing 9385481 relations and 7385481 ideals in 2000000 cliques
  54. Sun Jul 27 05:43:03 2025 commencing in-memory singleton removal
  55. Sun Jul 27 05:43:05 2025 begin with 98458347 relations and 83054848 unique ideals
  56. Sun Jul 27 05:43:13 2025 reduce to 97778600 relations and 74973671 ideals in 8 passes
  57. Sun Jul 27 05:43:13 2025 max relations containing the same ideal: 155
  58. Sun Jul 27 05:43:29 2025 removing 7312600 relations and 5312600 ideals in 2000000 cliques
  59. Sun Jul 27 05:43:31 2025 commencing in-memory singleton removal
  60. Sun Jul 27 05:43:33 2025 begin with 90466000 relations and 74973671 unique ideals
  61. Sun Jul 27 05:43:39 2025 reduce to 89998612 relations and 69183750 ideals in 7 passes
  62. Sun Jul 27 05:43:39 2025 max relations containing the same ideal: 148
  63. Sun Jul 27 05:43:54 2025 removing 6730770 relations and 4730770 ideals in 2000000 cliques
  64. Sun Jul 27 05:43:56 2025 commencing in-memory singleton removal
  65. Sun Jul 27 05:43:57 2025 begin with 83267842 relations and 69183750 unique ideals
  66. Sun Jul 27 05:44:03 2025 reduce to 82853334 relations and 64029555 ideals in 7 passes
  67. Sun Jul 27 05:44:03 2025 max relations containing the same ideal: 142
  68. Sun Jul 27 05:44:17 2025 removing 6445040 relations and 4445040 ideals in 2000000 cliques
  69. Sun Jul 27 05:44:19 2025 commencing in-memory singleton removal
  70. Sun Jul 27 05:44:20 2025 begin with 76408294 relations and 64029555 unique ideals
  71. Sun Jul 27 05:44:25 2025 reduce to 76011057 relations and 59178316 ideals in 7 passes
  72. Sun Jul 27 05:44:25 2025 max relations containing the same ideal: 138
  73. Sun Jul 27 05:44:38 2025 removing 6274651 relations and 4274651 ideals in 2000000 cliques
  74. Sun Jul 27 05:44:40 2025 commencing in-memory singleton removal
  75. Sun Jul 27 05:44:41 2025 begin with 69736406 relations and 59178316 unique ideals
  76. Sun Jul 27 05:44:45 2025 reduce to 69337634 relations and 54495416 ideals in 7 passes
  77. Sun Jul 27 05:44:45 2025 max relations containing the same ideal: 128
  78. Sun Jul 27 05:44:57 2025 removing 6175856 relations and 4175856 ideals in 2000000 cliques
  79. Sun Jul 27 05:44:59 2025 commencing in-memory singleton removal
  80. Sun Jul 27 05:45:00 2025 begin with 63161778 relations and 54495416 unique ideals
  81. Sun Jul 27 05:45:04 2025 reduce to 62749254 relations and 49896466 ideals in 8 passes
  82. Sun Jul 27 05:45:04 2025 max relations containing the same ideal: 120
  83. Sun Jul 27 05:45:16 2025 removing 6119015 relations and 4119015 ideals in 2000000 cliques
  84. Sun Jul 27 05:45:17 2025 commencing in-memory singleton removal
  85. Sun Jul 27 05:45:18 2025 begin with 56630239 relations and 49896466 unique ideals
  86. Sun Jul 27 05:45:21 2025 reduce to 56191719 relations and 45326617 ideals in 6 passes
  87. Sun Jul 27 05:45:21 2025 max relations containing the same ideal: 113
  88. Sun Jul 27 05:45:31 2025 removing 6097884 relations and 4097884 ideals in 2000000 cliques
  89. Sun Jul 27 05:45:32 2025 commencing in-memory singleton removal
  90. Sun Jul 27 05:45:33 2025 begin with 50093835 relations and 45326617 unique ideals
  91. Sun Jul 27 05:45:36 2025 reduce to 49613284 relations and 40733213 ideals in 7 passes
  92. Sun Jul 27 05:45:36 2025 max relations containing the same ideal: 106
  93. Sun Jul 27 05:45:45 2025 removing 6111301 relations and 4111301 ideals in 2000000 cliques
  94. Sun Jul 27 05:45:46 2025 commencing in-memory singleton removal
  95. Sun Jul 27 05:45:47 2025 begin with 43501983 relations and 40733213 unique ideals
  96. Sun Jul 27 05:45:49 2025 reduce to 42958963 relations and 36059886 ideals in 8 passes
  97. Sun Jul 27 05:45:49 2025 max relations containing the same ideal: 98
  98. Sun Jul 27 05:45:57 2025 removing 6157409 relations and 4157409 ideals in 2000000 cliques
  99. Sun Jul 27 05:45:58 2025 commencing in-memory singleton removal
  100. Sun Jul 27 05:45:59 2025 begin with 36801554 relations and 36059886 unique ideals
  101. Sun Jul 27 05:46:01 2025 reduce to 36162738 relations and 31238054 ideals in 8 passes
  102. Sun Jul 27 05:46:01 2025 max relations containing the same ideal: 82
  103. Sun Jul 27 05:46:08 2025 removing 6244160 relations and 4244160 ideals in 2000000 cliques
  104. Sun Jul 27 05:46:09 2025 commencing in-memory singleton removal
  105. Sun Jul 27 05:46:10 2025 begin with 29918578 relations and 31238054 unique ideals
  106. Sun Jul 27 05:46:11 2025 reduce to 29131110 relations and 26168907 ideals in 8 passes
  107. Sun Jul 27 05:46:11 2025 max relations containing the same ideal: 70
  108. Sun Jul 27 05:46:17 2025 removing 6370879 relations and 4370879 ideals in 2000000 cliques
  109. Sun Jul 27 05:46:18 2025 commencing in-memory singleton removal
  110. Sun Jul 27 05:46:18 2025 begin with 22760231 relations and 26168907 unique ideals
  111. Sun Jul 27 05:46:20 2025 reduce to 21719960 relations and 20694904 ideals in 9 passes
  112. Sun Jul 27 05:46:20 2025 max relations containing the same ideal: 58
  113. Sun Jul 27 05:46:24 2025 removing 853161 relations and 706122 ideals in 147039 cliques
  114. Sun Jul 27 05:46:25 2025 commencing in-memory singleton removal
  115. Sun Jul 27 05:46:25 2025 begin with 20866799 relations and 20694904 unique ideals
  116. Sun Jul 27 05:46:26 2025 reduce to 20842280 relations and 19964104 ideals in 7 passes
  117. Sun Jul 27 05:46:26 2025 max relations containing the same ideal: 56
  118. Sun Jul 27 05:46:31 2025 relations with 0 large ideals: 2758
  119. Sun Jul 27 05:46:31 2025 relations with 1 large ideals: 21445
  120. Sun Jul 27 05:46:31 2025 relations with 2 large ideals: 271779
  121. Sun Jul 27 05:46:31 2025 relations with 3 large ideals: 1386947
  122. Sun Jul 27 05:46:31 2025 relations with 4 large ideals: 3702232
  123. Sun Jul 27 05:46:31 2025 relations with 5 large ideals: 5723458
  124. Sun Jul 27 05:46:31 2025 relations with 6 large ideals: 5384870
  125. Sun Jul 27 05:46:31 2025 relations with 7+ large ideals: 4348791
  126. Sun Jul 27 05:46:31 2025 commencing 2-way merge
  127. Sun Jul 27 05:46:37 2025 reduce to 12992743 relation sets and 12114567 unique ideals
  128. Sun Jul 27 05:46:37 2025 commencing full merge
  129. Sun Jul 27 05:48:52 2025 memory use: 1548.9 MB
  130. Sun Jul 27 05:48:53 2025 found 5661617 cycles, need 5626767
  131. Sun Jul 27 05:48:54 2025 weight of 5626767 cycles is about 732359125 (130.16/cycle)
  132. Sun Jul 27 05:48:54 2025 distribution of cycle lengths:
  133. Sun Jul 27 05:48:54 2025 1 relations: 222262
  134. Sun Jul 27 05:48:54 2025 2 relations: 327974
  135. Sun Jul 27 05:48:54 2025 3 relations: 368483
  136. Sun Jul 27 05:48:54 2025 4 relations: 374343
  137. Sun Jul 27 05:48:54 2025 5 relations: 383378
  138. Sun Jul 27 05:48:54 2025 6 relations: 382104
  139. Sun Jul 27 05:48:54 2025 7 relations: 375080
  140. Sun Jul 27 05:48:54 2025 8 relations: 366390
  141. Sun Jul 27 05:48:54 2025 9 relations: 346506
  142. Sun Jul 27 05:48:54 2025 10+ relations: 2480247
  143. Sun Jul 27 05:48:54 2025 heaviest cycle: 28 relations
  144. Sun Jul 27 05:48:54 2025 commencing cycle optimization
  145. Sun Jul 27 05:49:00 2025 start with 53395171 relations
  146. Sun Jul 27 05:49:58 2025 pruned 2558208 relations
  147. Sun Jul 27 05:49:58 2025 memory use: 1398.2 MB
  148. Sun Jul 27 05:49:58 2025 distribution of cycle lengths:
  149. Sun Jul 27 05:49:58 2025 1 relations: 222262
  150. Sun Jul 27 05:49:58 2025 2 relations: 336654
  151. Sun Jul 27 05:49:58 2025 3 relations: 384680
  152. Sun Jul 27 05:49:58 2025 4 relations: 390933
  153. Sun Jul 27 05:49:58 2025 5 relations: 402903
  154. Sun Jul 27 05:49:58 2025 6 relations: 401132
  155. Sun Jul 27 05:49:58 2025 7 relations: 396737
  156. Sun Jul 27 05:49:58 2025 8 relations: 384765
  157. Sun Jul 27 05:49:58 2025 9 relations: 365000
  158. Sun Jul 27 05:49:58 2025 10+ relations: 2341701
  159. Sun Jul 27 05:49:58 2025 heaviest cycle: 28 relations
  160. Sun Jul 27 05:50:02 2025 RelProcTime: 809
  161. Sun Jul 27 05:50:02 2025
  162. Sun Jul 27 05:50:02 2025 commencing linear algebra
  163. Sun Jul 27 05:50:02 2025 using VBITS=256
  164. Sun Jul 27 05:50:02 2025 initialized process (0,0) of 1 x 1 grid
  165. Sun Jul 27 05:50:02 2025 read 5626767 cycles
  166. Sun Jul 27 05:50:07 2025 cycles contain 20329713 unique relations
  167. Sun Jul 27 05:50:21 2025 read 20329713 relations
  168. Sun Jul 27 05:50:24 2025 using 20 quadratic characters above 4294917295
  169. Sun Jul 27 05:50:26 2025 building initial matrix
  170. Sun Jul 27 05:52:27 2025 memory use: 2794.1 MB
  171. Sun Jul 27 05:52:29 2025 read 5626767 cycles
  172. Sun Jul 27 05:52:29 2025 matrix is 5626590 x 5626767 (2830.7 MB) with weight 855542048 (152.05/col)
  173. Sun Jul 27 05:52:29 2025 sparse part has weight 674521640 (119.88/col)
  174. Sun Jul 27 05:52:58 2025 filtering completed in 2 passes
  175. Sun Jul 27 05:52:59 2025 matrix is 5626396 x 5626572 (2830.6 MB) with weight 855531423 (152.05/col)
  176. Sun Jul 27 05:52:59 2025 sparse part has weight 674517554 (119.88/col)
  177. Sun Jul 27 05:53:07 2025 matrix starts at (0, 0)
  178. Sun Jul 27 05:53:07 2025 matrix is 5626396 x 5626572 (2830.6 MB) with weight 855531423 (152.05/col)
  179. Sun Jul 27 05:53:07 2025 sparse part has weight 674517554 (119.88/col)
  180. Sun Jul 27 05:53:07 2025 saving the first 240 matrix rows for later
  181. Sun Jul 27 05:53:08 2025 matrix includes 256 packed rows
  182. Sun Jul 27 05:53:09 2025 matrix is 5626156 x 5626572 (2525.8 MB) with weight 613523346 (109.04/col)
  183. Sun Jul 27 05:53:09 2025 sparse part has weight 572094171 (101.68/col)
  184. Sun Jul 27 05:53:09 2025 using block size 8192 and superblock size 884736 for processor cache size 36864 kB
  185. Sun Jul 27 05:53:16 2025 commencing Lanczos iteration (32 threads)
  186. Sun Jul 27 05:53:16 2025 memory use: 3569.4 MB
  187. Sun Jul 27 05:55:02 2025 linear algebra at 0.5%, ETA 5h19m
  188. Sun Jul 27 05:57:41 2025 checking every 10000 dimensions, checkpointing every 1050000 dimensions
  189. Sun Jul 27 11:16:48 2025 lanczos halted after 22044 iterations (dim = 5626154)
  190. Sun Jul 27 11:17:03 2025 recovered 30 nontrivial dependencies
  191. Sun Jul 27 11:17:03 2025 BLanczosTime: 19621
  192. Sun Jul 27 11:17:03 2025
  193. Sun Jul 27 11:17:03 2025 commencing square root phase
  194. Sun Jul 27 11:17:03 2025 handling dependencies 1 to 64
  195. Sun Jul 27 11:17:03 2025 reading relations for dependency 1
  196. Sun Jul 27 11:17:03 2025 read 2814469 cycles
  197. Sun Jul 27 11:17:06 2025 cycles contain 10166092 unique relations
  198. Sun Jul 27 11:17:16 2025 read 10166092 relations
  199. Sun Jul 27 11:17:34 2025 multiplying 10166092 relations
  200. Sun Jul 27 11:18:23 2025 multiply complete, coefficients have about 613.62 million bits
  201. Sun Jul 27 11:18:24 2025 initial square root is modulo 320009
  202. Sun Jul 27 11:20:11 2025 GCD is 1, no factor found
  203. Sun Jul 27 11:20:11 2025 reading relations for dependency 2
  204. Sun Jul 27 11:20:11 2025 read 2811347 cycles
  205. Sun Jul 27 11:20:14 2025 cycles contain 10160146 unique relations
  206. Sun Jul 27 11:20:22 2025 read 10160146 relations
  207. Sun Jul 27 11:20:40 2025 multiplying 10160146 relations
  208. Sun Jul 27 11:21:29 2025 multiply complete, coefficients have about 613.25 million bits
  209. Sun Jul 27 11:21:30 2025 initial square root is modulo 317591
  210. Sun Jul 27 11:23:17 2025 sqrtTime: 374
  211. Sun Jul 27 11:23:17 2025 p79 factor: 2819526729953678998090183674420124780758615186669700319199912913313491786435019
  212. Sun Jul 27 11:23:17 2025 p83 factor: 46411992029304033769446511513418797888752403332645835210162361631730004408787599897
  213. Sun Jul 27 11:23:17 2025 elapsed time 05:46:45
  214.  
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