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Mar 9th, 2025
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  1. Sun Mar 9 18:43:38 2025
  2. Sun Mar 9 18:43:38 2025
  3. Sun Mar 9 18:43:38 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Mar 9 18:43:38 2025 random seeds: ed6b1159 90acde8b
  5. Sun Mar 9 18:43:38 2025 MPI process 0 of 1
  6. Sun Mar 9 18:43:38 2025 Using 64 OpenMP threads
  7. Sun Mar 9 18:43:38 2025 factoring 7182535941302996026909938004055879793762635862716297529830156107949740263561683850117030100137510063903099728804011106291986035604105911885773727354426822881113 (160 digits)
  8. Sun Mar 9 18:43:38 2025 searching for 15-digit factors
  9. Sun Mar 9 18:43:38 2025 commencing number field sieve (160-digit input)
  10. Sun Mar 9 18:43:38 2025 R0: -13035866751766744965456900291403
  11. Sun Mar 9 18:43:38 2025 R1: 77054428627426003
  12. Sun Mar 9 18:43:38 2025 A0: -1451418568342291557249334355040515231880
  13. Sun Mar 9 18:43:38 2025 A1: 592895369169920457991366627958186
  14. Sun Mar 9 18:43:38 2025 A2: 134231544912082665457709627
  15. Sun Mar 9 18:43:38 2025 A3: -14323813042898658624
  16. Sun Mar 9 18:43:38 2025 A4: -932899930098
  17. Sun Mar 9 18:43:38 2025 A5: 19080
  18. Sun Mar 9 18:43:38 2025 skew 12609876.44, size 1.471e-15, alpha -6.811, combined = 1.436e-12 rroots = 5
  19. Sun Mar 9 18:43:38 2025
  20. Sun Mar 9 18:43:38 2025 commencing relation filtering
  21. Sun Mar 9 18:43:38 2025 setting target matrix density to 130.0
  22. Sun Mar 9 18:43:38 2025 estimated available RAM is 257736.5 MB
  23. Sun Mar 9 18:43:38 2025 commencing duplicate removal, pass 1
  24. Sun Mar 9 18:44:54 2025 error -1 reading relation 56473402
  25. Sun Mar 9 18:44:56 2025 error -1 reading relation 57968377
  26. Sun Mar 9 18:45:03 2025 error -1 reading relation 63289634
  27. Sun Mar 9 18:45:34 2025 error -1 reading relation 86439511
  28. Sun Mar 9 18:45:41 2025 error -1 reading relation 91755520
  29. Sun Mar 9 18:45:51 2025 error -1 reading relation 99332082
  30. Sun Mar 9 18:46:05 2025 error -1 reading relation 109985261
  31. Sun Mar 9 18:46:19 2025 skipped 88 malformed relations
  32. Sun Mar 9 18:46:19 2025 found 20915809 hash collisions in 119951778 relations
  33. Sun Mar 9 18:46:40 2025 commencing duplicate removal, pass 2
  34. Sun Mar 9 18:48:50 2025 found 19212985 duplicates and 100738793 unique relations
  35. Sun Mar 9 18:48:50 2025 memory use: 660.8 MB
  36. Sun Mar 9 18:48:50 2025 reading ideals above 720000
  37. Sun Mar 9 18:48:50 2025 commencing singleton removal, initial pass
  38. Sun Mar 9 18:53:20 2025 memory use: 2756.0 MB
  39. Sun Mar 9 18:53:20 2025 reading all ideals from disk
  40. Sun Mar 9 18:53:21 2025 memory use: 4519.8 MB
  41. Sun Mar 9 18:53:31 2025 keeping 90007415 ideals with weight <= 200, target excess is 523339
  42. Sun Mar 9 18:53:42 2025 commencing in-memory singleton removal
  43. Sun Mar 9 18:53:43 2025 begin with 100738793 relations and 90007415 unique ideals
  44. Sun Mar 9 18:53:47 2025 reduce to 66171780 relations and 51978796 ideals in 14 passes
  45. Sun Mar 9 18:53:47 2025 max relations containing the same ideal: 160
  46. Sun Mar 9 18:54:10 2025 removing 8636511 relations and 6636511 ideals in 2000000 cliques
  47. Sun Mar 9 18:54:12 2025 commencing in-memory singleton removal
  48. Sun Mar 9 18:54:13 2025 begin with 57535269 relations and 51978796 unique ideals
  49. Sun Mar 9 18:54:15 2025 reduce to 56670083 relations and 44445189 ideals in 8 passes
  50. Sun Mar 9 18:54:15 2025 max relations containing the same ideal: 149
  51. Sun Mar 9 18:54:34 2025 removing 6812023 relations and 4812023 ideals in 2000000 cliques
  52. Sun Mar 9 18:54:37 2025 commencing in-memory singleton removal
  53. Sun Mar 9 18:54:37 2025 begin with 49858060 relations and 44445189 unique ideals
  54. Sun Mar 9 18:54:39 2025 reduce to 49241531 relations and 38995450 ideals in 8 passes
  55. Sun Mar 9 18:54:39 2025 max relations containing the same ideal: 137
  56. Sun Mar 9 18:54:56 2025 removing 6321296 relations and 4321296 ideals in 2000000 cliques
  57. Sun Mar 9 18:54:58 2025 commencing in-memory singleton removal
  58. Sun Mar 9 18:54:58 2025 begin with 42920235 relations and 38995450 unique ideals
  59. Sun Mar 9 18:55:00 2025 reduce to 42350304 relations and 34083477 ideals in 7 passes
  60. Sun Mar 9 18:55:00 2025 max relations containing the same ideal: 124
  61. Sun Mar 9 18:55:14 2025 removing 6084369 relations and 4084369 ideals in 2000000 cliques
  62. Sun Mar 9 18:55:16 2025 commencing in-memory singleton removal
  63. Sun Mar 9 18:55:17 2025 begin with 36265935 relations and 34083477 unique ideals
  64. Sun Mar 9 18:55:18 2025 reduce to 35688952 relations and 29398218 ideals in 8 passes
  65. Sun Mar 9 18:55:18 2025 max relations containing the same ideal: 112
  66. Sun Mar 9 18:55:30 2025 removing 5940684 relations and 3940684 ideals in 2000000 cliques
  67. Sun Mar 9 18:55:32 2025 commencing in-memory singleton removal
  68. Sun Mar 9 18:55:32 2025 begin with 29748268 relations and 29398218 unique ideals
  69. Sun Mar 9 18:55:33 2025 reduce to 29126835 relations and 24805748 ideals in 8 passes
  70. Sun Mar 9 18:55:33 2025 max relations containing the same ideal: 96
  71. Sun Mar 9 18:55:43 2025 removing 5845311 relations and 3845311 ideals in 2000000 cliques
  72. Sun Mar 9 18:55:45 2025 commencing in-memory singleton removal
  73. Sun Mar 9 18:55:45 2025 begin with 23281524 relations and 24805748 unique ideals
  74. Sun Mar 9 18:55:46 2025 reduce to 22576180 relations and 20213380 ideals in 8 passes
  75. Sun Mar 9 18:55:46 2025 max relations containing the same ideal: 81
  76. Sun Mar 9 18:55:54 2025 removing 5182226 relations and 3426500 ideals in 1755726 cliques
  77. Sun Mar 9 18:55:55 2025 commencing in-memory singleton removal
  78. Sun Mar 9 18:55:55 2025 begin with 17393954 relations and 20213380 unique ideals
  79. Sun Mar 9 18:55:56 2025 reduce to 16673421 relations and 16017456 ideals in 8 passes
  80. Sun Mar 9 18:55:56 2025 max relations containing the same ideal: 67
  81. Sun Mar 9 18:56:02 2025 removing 285501 relations and 236610 ideals in 48891 cliques
  82. Sun Mar 9 18:56:02 2025 commencing in-memory singleton removal
  83. Sun Mar 9 18:56:02 2025 begin with 16387920 relations and 16017456 unique ideals
  84. Sun Mar 9 18:56:03 2025 reduce to 16384650 relations and 15777564 ideals in 5 passes
  85. Sun Mar 9 18:56:03 2025 max relations containing the same ideal: 66
  86. Sun Mar 9 18:56:04 2025 relations with 0 large ideals: 1703
  87. Sun Mar 9 18:56:04 2025 relations with 1 large ideals: 10994
  88. Sun Mar 9 18:56:04 2025 relations with 2 large ideals: 146001
  89. Sun Mar 9 18:56:04 2025 relations with 3 large ideals: 823006
  90. Sun Mar 9 18:56:04 2025 relations with 4 large ideals: 2431023
  91. Sun Mar 9 18:56:04 2025 relations with 5 large ideals: 4178248
  92. Sun Mar 9 18:56:04 2025 relations with 6 large ideals: 4423002
  93. Sun Mar 9 18:56:04 2025 relations with 7+ large ideals: 4370673
  94. Sun Mar 9 18:56:04 2025 commencing 2-way merge
  95. Sun Mar 9 18:56:12 2025 reduce to 10823565 relation sets and 10216479 unique ideals
  96. Sun Mar 9 18:56:12 2025 commencing full merge
  97. Sun Mar 9 18:59:20 2025 memory use: 1322.7 MB
  98. Sun Mar 9 18:59:20 2025 found 4765481 cycles, need 4742679
  99. Sun Mar 9 18:59:22 2025 weight of 4742679 cycles is about 617205278 (130.14/cycle)
  100. Sun Mar 9 18:59:22 2025 distribution of cycle lengths:
  101. Sun Mar 9 18:59:22 2025 1 relations: 102838
  102. Sun Mar 9 18:59:22 2025 2 relations: 230075
  103. Sun Mar 9 18:59:22 2025 3 relations: 296848
  104. Sun Mar 9 18:59:22 2025 4 relations: 324108
  105. Sun Mar 9 18:59:22 2025 5 relations: 344475
  106. Sun Mar 9 18:59:22 2025 6 relations: 347735
  107. Sun Mar 9 18:59:22 2025 7 relations: 347015
  108. Sun Mar 9 18:59:22 2025 8 relations: 333850
  109. Sun Mar 9 18:59:22 2025 9 relations: 317150
  110. Sun Mar 9 18:59:22 2025 10+ relations: 2098585
  111. Sun Mar 9 18:59:22 2025 heaviest cycle: 28 relations
  112. Sun Mar 9 18:59:23 2025 commencing cycle optimization
  113. Sun Mar 9 18:59:30 2025 start with 45422007 relations
  114. Sun Mar 9 19:00:57 2025 pruned 2408350 relations
  115. Sun Mar 9 19:00:57 2025 memory use: 1145.2 MB
  116. Sun Mar 9 19:00:57 2025 distribution of cycle lengths:
  117. Sun Mar 9 19:00:57 2025 1 relations: 102838
  118. Sun Mar 9 19:00:57 2025 2 relations: 237260
  119. Sun Mar 9 19:00:57 2025 3 relations: 311636
  120. Sun Mar 9 19:00:57 2025 4 relations: 340564
  121. Sun Mar 9 19:00:57 2025 5 relations: 365338
  122. Sun Mar 9 19:00:57 2025 6 relations: 368465
  123. Sun Mar 9 19:00:57 2025 7 relations: 368954
  124. Sun Mar 9 19:00:57 2025 8 relations: 353784
  125. Sun Mar 9 19:00:57 2025 9 relations: 335605
  126. Sun Mar 9 19:00:57 2025 10+ relations: 1958235
  127. Sun Mar 9 19:00:57 2025 heaviest cycle: 28 relations
  128. Sun Mar 9 19:01:02 2025 RelProcTime: 1044
  129. Sun Mar 9 19:01:02 2025
  130. Sun Mar 9 19:01:02 2025 commencing linear algebra
  131. Sun Mar 9 19:01:02 2025 using VBITS=256
  132. Sun Mar 9 19:01:02 2025 initialized process (0,0) of 1 x 1 grid
  133. Sun Mar 9 19:01:03 2025 read 4742679 cycles
  134. Sun Mar 9 19:01:10 2025 cycles contain 16076034 unique relations
  135. Sun Mar 9 19:02:49 2025 read 16076034 relations
  136. Sun Mar 9 19:02:50 2025 using 20 quadratic characters above 4294917295
  137. Sun Mar 9 19:02:52 2025 building initial matrix
  138. Sun Mar 9 19:05:51 2025 memory use: 2184.0 MB
  139. Sun Mar 9 19:05:55 2025 read 4742679 cycles
  140. Sun Mar 9 19:05:55 2025 matrix is 4742500 x 4742679 (2386.4 MB) with weight 725948477 (153.07/col)
  141. Sun Mar 9 19:05:55 2025 sparse part has weight 568658218 (119.90/col)
  142. Sun Mar 9 19:06:45 2025 filtering completed in 2 passes
  143. Sun Mar 9 19:06:46 2025 matrix is 4742422 x 4742601 (2386.4 MB) with weight 725944261 (153.07/col)
  144. Sun Mar 9 19:06:46 2025 sparse part has weight 568656705 (119.90/col)
  145. Sun Mar 9 19:07:13 2025 matrix starts at (0, 0)
  146. Sun Mar 9 19:07:13 2025 matrix is 4742422 x 4742601 (2386.4 MB) with weight 725944261 (153.07/col)
  147. Sun Mar 9 19:07:13 2025 sparse part has weight 568656705 (119.90/col)
  148. Sun Mar 9 19:07:13 2025 saving the first 240 matrix rows for later
  149. Sun Mar 9 19:07:14 2025 matrix includes 256 packed rows
  150. Sun Mar 9 19:07:16 2025 matrix is 4742182 x 4742601 (2144.9 MB) with weight 520040795 (109.65/col)
  151. Sun Mar 9 19:07:16 2025 sparse part has weight 486380283 (102.56/col)
  152. Sun Mar 9 19:07:16 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  153. Sun Mar 9 19:07:26 2025 commencing Lanczos iteration (64 threads)
  154. Sun Mar 9 19:07:26 2025 memory use: 3023.5 MB
  155. Sun Mar 9 19:08:11 2025 linear algebra at 0.6%, ETA 1h52m
  156. Sun Mar 9 19:09:22 2025 checking every 40000 dimensions, checkpointing every 2440000 dimensions
  157. Sun Mar 9 20:54:00 2025 lanczos halted after 18581 iterations (dim = 4742181)
  158. Sun Mar 9 20:54:20 2025 recovered 29 nontrivial dependencies
  159. Sun Mar 9 20:54:20 2025 BLanczosTime: 6798
  160. Sun Mar 9 20:54:20 2025
  161. Sun Mar 9 20:54:20 2025 commencing square root phase
  162. Sun Mar 9 20:54:20 2025 handling dependencies 1 to 64
  163. Sun Mar 9 20:54:20 2025 reading relations for dependency 1
  164. Sun Mar 9 20:54:21 2025 read 2371089 cycles
  165. Sun Mar 9 20:54:24 2025 cycles contain 8037730 unique relations
  166. Sun Mar 9 20:56:25 2025 read 8037730 relations
  167. Sun Mar 9 20:57:08 2025 multiplying 8037730 relations
  168. Sun Mar 9 20:58:45 2025 multiply complete, coefficients have about 415.12 million bits
  169. Sun Mar 9 20:58:47 2025 initial square root is modulo 28093687
  170. Sun Mar 9 21:03:02 2025 GCD is 1, no factor found
  171. Sun Mar 9 21:03:02 2025 reading relations for dependency 2
  172. Sun Mar 9 21:03:03 2025 read 2373235 cycles
  173. Sun Mar 9 21:03:10 2025 cycles contain 8039240 unique relations
  174. Sun Mar 9 21:05:16 2025 read 8039240 relations
  175. Sun Mar 9 21:05:58 2025 multiplying 8039240 relations
  176. Sun Mar 9 21:07:34 2025 multiply complete, coefficients have about 415.21 million bits
  177. Sun Mar 9 21:07:36 2025 initial square root is modulo 28192513
  178. Sun Mar 9 21:11:36 2025 GCD is N, no factor found
  179. Sun Mar 9 21:11:36 2025 reading relations for dependency 3
  180. Sun Mar 9 21:11:37 2025 read 2370336 cycles
  181. Sun Mar 9 21:11:42 2025 cycles contain 8036868 unique relations
  182. Sun Mar 9 21:13:51 2025 read 8036868 relations
  183. Sun Mar 9 21:14:33 2025 multiplying 8036868 relations
  184. Sun Mar 9 21:15:59 2025 multiply complete, coefficients have about 415.08 million bits
  185. Sun Mar 9 21:16:01 2025 initial square root is modulo 28051823
  186. Sun Mar 9 21:19:58 2025 GCD is N, no factor found
  187. Sun Mar 9 21:19:58 2025 reading relations for dependency 4
  188. Sun Mar 9 21:19:58 2025 read 2371526 cycles
  189. Sun Mar 9 21:20:04 2025 cycles contain 8036050 unique relations
  190. Sun Mar 9 21:22:12 2025 read 8036050 relations
  191. Sun Mar 9 21:22:49 2025 multiplying 8036050 relations
  192. Sun Mar 9 21:24:16 2025 multiply complete, coefficients have about 415.04 million bits
  193. Sun Mar 9 21:24:17 2025 initial square root is modulo 27995003
  194. Sun Mar 9 21:28:15 2025 GCD is 1, no factor found
  195. Sun Mar 9 21:28:15 2025 reading relations for dependency 5
  196. Sun Mar 9 21:28:16 2025 read 2372088 cycles
  197. Sun Mar 9 21:28:20 2025 cycles contain 8038324 unique relations
  198. Sun Mar 9 21:30:29 2025 read 8038324 relations
  199. Sun Mar 9 21:31:11 2025 multiplying 8038324 relations
  200. Sun Mar 9 21:32:40 2025 multiply complete, coefficients have about 415.16 million bits
  201. Sun Mar 9 21:32:42 2025 initial square root is modulo 28138531
  202. Sun Mar 9 21:36:42 2025 GCD is N, no factor found
  203. Sun Mar 9 21:36:42 2025 reading relations for dependency 6
  204. Sun Mar 9 21:36:43 2025 read 2371552 cycles
  205. Sun Mar 9 21:36:48 2025 cycles contain 8040102 unique relations
  206. Sun Mar 9 21:38:57 2025 read 8040102 relations
  207. Sun Mar 9 21:39:39 2025 multiplying 8040102 relations
  208. Sun Mar 9 21:41:07 2025 multiply complete, coefficients have about 415.25 million bits
  209. Sun Mar 9 21:41:09 2025 initial square root is modulo 28241243
  210. Sun Mar 9 21:45:13 2025 GCD is 1, no factor found
  211. Sun Mar 9 21:45:13 2025 reading relations for dependency 7
  212. Sun Mar 9 21:45:14 2025 read 2372200 cycles
  213. Sun Mar 9 21:45:19 2025 cycles contain 8038726 unique relations
  214. Sun Mar 9 21:47:27 2025 read 8038726 relations
  215. Sun Mar 9 21:48:04 2025 multiplying 8038726 relations
  216. Sun Mar 9 21:49:29 2025 multiply complete, coefficients have about 415.17 million bits
  217. Sun Mar 9 21:49:31 2025 initial square root is modulo 28154681
  218. Sun Mar 9 21:53:26 2025 sqrtTime: 3546
  219. Sun Mar 9 21:53:26 2025 p68 factor: 28236579184362018124215543627610808580574577730835419878394291705001
  220. Sun Mar 9 21:53:26 2025 p93 factor: 254369904173124058105249554418576819344447162431462403907175215165605191811026824963580216113
  221. Sun Mar 9 21:53:26 2025 elapsed time 03:09:48
  222.  
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