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Mar 20th, 2025
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  1. Thu Mar 20 02:04:55 2025
  2. Thu Mar 20 02:04:55 2025
  3. Thu Mar 20 02:04:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Mar 20 02:04:55 2025 random seeds: 3e6ea0f5 05ca5d97
  5. Thu Mar 20 02:04:55 2025 MPI process 0 of 1
  6. Thu Mar 20 02:04:55 2025 Using 64 OpenMP threads
  7. Thu Mar 20 02:04:55 2025 factoring 938021111600629663093080154582283732535279193451535907595146419060684564422112693930112943765922766146440673800776097370608782937606472276373406818674476137190633227787 (168 digits)
  8. Thu Mar 20 02:04:55 2025 searching for 15-digit factors
  9. Thu Mar 20 02:04:56 2025 commencing number field sieve (168-digit input)
  10. Thu Mar 20 02:04:56 2025 R0: -309443930916607413013469462066458
  11. Thu Mar 20 02:04:56 2025 R1: 897845511343602761
  12. Thu Mar 20 02:04:56 2025 A0: -738959930041788539232909735059830411826775
  13. Thu Mar 20 02:04:56 2025 A1: 101312745574630230662261415756433435
  14. Thu Mar 20 02:04:56 2025 A2: 8070686508588822241175166021
  15. Thu Mar 20 02:04:56 2025 A3: -612082993207073349027
  16. Thu Mar 20 02:04:56 2025 A4: -21786836061838
  17. Thu Mar 20 02:04:56 2025 A5: 330600
  18. Thu Mar 20 02:04:56 2025 skew 22351771.53, size 2.037e-16, alpha -7.765, combined = 4.362e-13 rroots = 5
  19. Thu Mar 20 02:04:56 2025
  20. Thu Mar 20 02:04:56 2025 commencing relation filtering
  21. Thu Mar 20 02:04:56 2025 setting target matrix density to 110.0
  22. Thu Mar 20 02:04:56 2025 estimated available RAM is 257736.5 MB
  23. Thu Mar 20 02:04:56 2025 commencing duplicate removal, pass 1
  24. Thu Mar 20 02:07:46 2025 error -1 reading relation 82829311
  25. Thu Mar 20 02:08:26 2025 error -1 reading relation 102043259
  26. Thu Mar 20 02:09:55 2025 error -1 reading relation 147369974
  27. Thu Mar 20 02:10:02 2025 error -1 reading relation 151011987
  28. Thu Mar 20 02:10:04 2025 error -1 reading relation 152324471
  29. Thu Mar 20 02:10:04 2025 error -1 reading relation 152330421
  30. Thu Mar 20 02:10:04 2025 error -15 reading relation 152331493
  31. Thu Mar 20 02:10:23 2025 error -1 reading relation 162067057
  32. Thu Mar 20 02:10:27 2025 error -1 reading relation 164021173
  33. Thu Mar 20 02:10:51 2025 error -1 reading relation 176670842
  34. Thu Mar 20 02:11:44 2025 error -1 reading relation 202828296
  35. Thu Mar 20 02:12:01 2025 error -1 reading relation 211489340
  36. Thu Mar 20 02:13:38 2025 skipped 2 relations with composite factors
  37. Thu Mar 20 02:13:38 2025 skipped 147 malformed relations
  38. Thu Mar 20 02:13:38 2025 found 56199660 hash collisions in 259144613 relations
  39. Thu Mar 20 02:14:00 2025 commencing duplicate removal, pass 2
  40. Thu Mar 20 02:19:06 2025 found 57672251 duplicates and 201472362 unique relations
  41. Thu Mar 20 02:19:06 2025 memory use: 1449.5 MB
  42. Thu Mar 20 02:19:06 2025 reading ideals above 720000
  43. Thu Mar 20 02:19:06 2025 commencing singleton removal, initial pass
  44. Thu Mar 20 02:33:58 2025 memory use: 6024.0 MB
  45. Thu Mar 20 02:33:59 2025 reading all ideals from disk
  46. Thu Mar 20 02:34:05 2025 memory use: 9319.5 MB
  47. Thu Mar 20 02:34:46 2025 keeping 215466751 ideals with weight <= 200, target excess is 991842
  48. Thu Mar 20 02:35:23 2025 commencing in-memory singleton removal
  49. Thu Mar 20 02:35:26 2025 begin with 201472362 relations and 215466751 unique ideals
  50. Thu Mar 20 02:35:36 2025 reduce to 83330596 relations and 79149427 ideals in 21 passes
  51. Thu Mar 20 02:35:36 2025 max relations containing the same ideal: 114
  52. Thu Mar 20 02:36:45 2025 removing 5104444 relations and 4704444 ideals in 400000 cliques
  53. Thu Mar 20 02:36:49 2025 commencing in-memory singleton removal
  54. Thu Mar 20 02:36:50 2025 begin with 78226152 relations and 79149427 unique ideals
  55. Thu Mar 20 02:36:57 2025 reduce to 77937371 relations and 74153956 ideals in 11 passes
  56. Thu Mar 20 02:36:57 2025 max relations containing the same ideal: 108
  57. Thu Mar 20 02:38:03 2025 removing 3747974 relations and 3347974 ideals in 400000 cliques
  58. Thu Mar 20 02:38:05 2025 commencing in-memory singleton removal
  59. Thu Mar 20 02:38:06 2025 begin with 74189397 relations and 74153956 unique ideals
  60. Thu Mar 20 02:38:10 2025 reduce to 74020214 relations and 70635748 ideals in 11 passes
  61. Thu Mar 20 02:38:10 2025 max relations containing the same ideal: 104
  62. Thu Mar 20 02:38:57 2025 removing 3315769 relations and 2915769 ideals in 400000 cliques
  63. Thu Mar 20 02:39:00 2025 commencing in-memory singleton removal
  64. Thu Mar 20 02:39:01 2025 begin with 70704445 relations and 70635748 unique ideals
  65. Thu Mar 20 02:39:07 2025 reduce to 70562599 relations and 67577314 ideals in 10 passes
  66. Thu Mar 20 02:39:07 2025 max relations containing the same ideal: 101
  67. Thu Mar 20 02:40:00 2025 removing 3091515 relations and 2691515 ideals in 400000 cliques
  68. Thu Mar 20 02:40:03 2025 commencing in-memory singleton removal
  69. Thu Mar 20 02:40:04 2025 begin with 67471084 relations and 67577314 unique ideals
  70. Thu Mar 20 02:40:09 2025 reduce to 67341726 relations and 64755660 ideals in 10 passes
  71. Thu Mar 20 02:40:09 2025 max relations containing the same ideal: 99
  72. Thu Mar 20 02:40:54 2025 removing 2944506 relations and 2544506 ideals in 400000 cliques
  73. Thu Mar 20 02:40:57 2025 commencing in-memory singleton removal
  74. Thu Mar 20 02:40:57 2025 begin with 64397220 relations and 64755660 unique ideals
  75. Thu Mar 20 02:41:00 2025 reduce to 64274396 relations and 62087624 ideals in 10 passes
  76. Thu Mar 20 02:41:00 2025 max relations containing the same ideal: 94
  77. Thu Mar 20 02:41:26 2025 removing 2842936 relations and 2442936 ideals in 400000 cliques
  78. Thu Mar 20 02:41:28 2025 commencing in-memory singleton removal
  79. Thu Mar 20 02:41:29 2025 begin with 61431460 relations and 62087624 unique ideals
  80. Thu Mar 20 02:41:31 2025 reduce to 61310016 relations and 59522511 ideals in 8 passes
  81. Thu Mar 20 02:41:31 2025 max relations containing the same ideal: 92
  82. Thu Mar 20 02:41:54 2025 removing 2770193 relations and 2370193 ideals in 400000 cliques
  83. Thu Mar 20 02:41:56 2025 commencing in-memory singleton removal
  84. Thu Mar 20 02:41:56 2025 begin with 58539823 relations and 59522511 unique ideals
  85. Thu Mar 20 02:41:58 2025 reduce to 58419698 relations and 57031454 ideals in 8 passes
  86. Thu Mar 20 02:41:58 2025 max relations containing the same ideal: 89
  87. Thu Mar 20 02:42:43 2025 removing 1770148 relations and 1532441 ideals in 237707 cliques
  88. Thu Mar 20 02:42:46 2025 commencing in-memory singleton removal
  89. Thu Mar 20 02:42:47 2025 begin with 56649550 relations and 57031454 unique ideals
  90. Thu Mar 20 02:42:51 2025 reduce to 56599701 relations and 55448958 ideals in 9 passes
  91. Thu Mar 20 02:42:51 2025 max relations containing the same ideal: 88
  92. Thu Mar 20 02:43:44 2025 relations with 0 large ideals: 3582
  93. Thu Mar 20 02:43:44 2025 relations with 1 large ideals: 22511
  94. Thu Mar 20 02:43:44 2025 relations with 2 large ideals: 322296
  95. Thu Mar 20 02:43:44 2025 relations with 3 large ideals: 2017018
  96. Thu Mar 20 02:43:44 2025 relations with 4 large ideals: 6808524
  97. Thu Mar 20 02:43:44 2025 relations with 5 large ideals: 13534640
  98. Thu Mar 20 02:43:44 2025 relations with 6 large ideals: 16278832
  99. Thu Mar 20 02:43:44 2025 relations with 7+ large ideals: 17612298
  100. Thu Mar 20 02:43:44 2025 commencing 2-way merge
  101. Thu Mar 20 02:44:33 2025 reduce to 32853252 relation sets and 31702509 unique ideals
  102. Thu Mar 20 02:44:33 2025 commencing full merge
  103. Thu Mar 20 02:56:39 2025 memory use: 3464.0 MB
  104. Thu Mar 20 02:56:42 2025 found 14243518 cycles, need 14230709
  105. Thu Mar 20 02:56:45 2025 weight of 14230709 cycles is about 1565418546 (110.00/cycle)
  106. Thu Mar 20 02:56:45 2025 distribution of cycle lengths:
  107. Thu Mar 20 02:56:45 2025 1 relations: 1426686
  108. Thu Mar 20 02:56:45 2025 2 relations: 1189627
  109. Thu Mar 20 02:56:45 2025 3 relations: 1166030
  110. Thu Mar 20 02:56:45 2025 4 relations: 1099493
  111. Thu Mar 20 02:56:45 2025 5 relations: 1042454
  112. Thu Mar 20 02:56:45 2025 6 relations: 935886
  113. Thu Mar 20 02:56:45 2025 7 relations: 880337
  114. Thu Mar 20 02:56:45 2025 8 relations: 787189
  115. Thu Mar 20 02:56:45 2025 9 relations: 705774
  116. Thu Mar 20 02:56:45 2025 10+ relations: 4997233
  117. Thu Mar 20 02:56:45 2025 heaviest cycle: 28 relations
  118. Thu Mar 20 02:56:49 2025 commencing cycle optimization
  119. Thu Mar 20 02:57:16 2025 start with 117144367 relations
  120. Thu Mar 20 03:00:52 2025 pruned 3469222 relations
  121. Thu Mar 20 03:00:52 2025 memory use: 3480.3 MB
  122. Thu Mar 20 03:00:52 2025 distribution of cycle lengths:
  123. Thu Mar 20 03:00:52 2025 1 relations: 1426686
  124. Thu Mar 20 03:00:52 2025 2 relations: 1219843
  125. Thu Mar 20 03:00:52 2025 3 relations: 1209217
  126. Thu Mar 20 03:00:52 2025 4 relations: 1131476
  127. Thu Mar 20 03:00:52 2025 5 relations: 1073325
  128. Thu Mar 20 03:00:52 2025 6 relations: 959080
  129. Thu Mar 20 03:00:52 2025 7 relations: 898287
  130. Thu Mar 20 03:00:52 2025 8 relations: 798348
  131. Thu Mar 20 03:00:52 2025 9 relations: 716242
  132. Thu Mar 20 03:00:52 2025 10+ relations: 4798205
  133. Thu Mar 20 03:00:52 2025 heaviest cycle: 28 relations
  134. Thu Mar 20 03:01:12 2025 RelProcTime: 3376
  135. Thu Mar 20 03:01:12 2025
  136. Thu Mar 20 03:01:12 2025 commencing linear algebra
  137. Thu Mar 20 03:01:12 2025 using VBITS=256
  138. Thu Mar 20 03:01:12 2025 initialized process (0,0) of 1 x 1 grid
  139. Thu Mar 20 03:01:14 2025 read 14230709 cycles
  140. Thu Mar 20 03:01:40 2025 cycles contain 55552833 unique relations
  141. Thu Mar 20 03:06:44 2025 read 55552833 relations
  142. Thu Mar 20 03:06:49 2025 using 20 quadratic characters above 4294917295
  143. Thu Mar 20 03:06:56 2025 building initial matrix
  144. Thu Mar 20 03:16:22 2025 memory use: 7407.6 MB
  145. Thu Mar 20 03:16:32 2025 read 14230709 cycles
  146. Thu Mar 20 03:16:34 2025 matrix is 14230530 x 14230709 (6320.1 MB) with weight 1921152796 (135.00/col)
  147. Thu Mar 20 03:16:34 2025 sparse part has weight 1486008305 (104.42/col)
  148. Thu Mar 20 03:20:54 2025 filtering completed in 2 passes
  149. Thu Mar 20 03:21:00 2025 matrix is 14229001 x 14229180 (6320.0 MB) with weight 1921082782 (135.01/col)
  150. Thu Mar 20 03:21:00 2025 sparse part has weight 1485991273 (104.43/col)
  151. Thu Mar 20 03:22:53 2025 matrix starts at (0, 0)
  152. Thu Mar 20 03:22:58 2025 matrix is 14229001 x 14229180 (6320.0 MB) with weight 1921082782 (135.01/col)
  153. Thu Mar 20 03:22:58 2025 sparse part has weight 1485991273 (104.43/col)
  154. Thu Mar 20 03:22:58 2025 saving the first 240 matrix rows for later
  155. Thu Mar 20 03:23:03 2025 matrix includes 256 packed rows
  156. Thu Mar 20 03:23:14 2025 matrix is 14228761 x 14229180 (5751.0 MB) with weight 1361001933 (95.65/col)
  157. Thu Mar 20 03:23:14 2025 sparse part has weight 1279918129 (89.95/col)
  158. Thu Mar 20 03:23:14 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  159. Thu Mar 20 03:23:53 2025 commencing Lanczos iteration (64 threads)
  160. Thu Mar 20 03:23:53 2025 memory use: 8498.6 MB
  161. Thu Mar 20 03:25:56 2025 linear algebra at 0.2%, ETA 15h35m
  162. Thu Mar 20 03:28:53 2025 checking every 10000 dimensions, checkpointing every 930000 dimensions
  163. Thu Mar 20 18:38:06 2025 lanczos halted after 55749 iterations (dim = 14228761)
  164. Thu Mar 20 18:38:51 2025 recovered 29 nontrivial dependencies
  165. Thu Mar 20 18:38:52 2025 BLanczosTime: 56260
  166. Thu Mar 20 18:38:52 2025
  167. Thu Mar 20 18:38:52 2025 commencing square root phase
  168. Thu Mar 20 18:38:52 2025 handling dependencies 1 to 64
  169. Thu Mar 20 18:38:52 2025 reading relations for dependency 1
  170. Thu Mar 20 18:38:53 2025 read 7114140 cycles
  171. Thu Mar 20 18:39:04 2025 cycles contain 27777512 unique relations
  172. Thu Mar 20 18:42:48 2025 read 27777512 relations
  173. Thu Mar 20 18:44:24 2025 multiplying 27777512 relations
  174. Thu Mar 20 18:47:02 2025 multiply complete, coefficients have about 1555.90 million bits
  175. Thu Mar 20 18:47:07 2025 initial square root is modulo 9535349
  176. Thu Mar 20 18:55:49 2025 sqrtTime: 1017
  177. Thu Mar 20 18:55:49 2025 p78 factor: 796026564690238850343068961188548042464428840760968466484975484003367388687271
  178. Thu Mar 20 18:55:49 2025 p91 factor: 1178379156185127747897144143260022485260066715922072180480431578143062541014953304434937597
  179. Thu Mar 20 18:55:49 2025 elapsed time 16:50:54
  180.  
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