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Jun 24th, 2025
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  1. Mon Jun 23 12:20:07 2025
  2. Mon Jun 23 12:20:07 2025
  3. Mon Jun 23 12:20:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jun 23 12:20:07 2025 random seeds: dc844cc0 121736f7
  5. Mon Jun 23 12:20:07 2025 MPI process 0 of 1
  6. Mon Jun 23 12:20:07 2025 Using 64 OpenMP threads
  7. Mon Jun 23 12:20:07 2025 factoring 1902397490253072820791173004907257896604377525085647627636214765364744080953265800473519515239453786722845605600788370635554412392236417691049015466616693612599 (160 digits)
  8. Mon Jun 23 12:20:07 2025 searching for 15-digit factors
  9. Mon Jun 23 12:20:08 2025 commencing number field sieve (160-digit input)
  10. Mon Jun 23 12:20:08 2025 R0: -10034265299184053171015575493657
  11. Mon Jun 23 12:20:08 2025 R1: 21808995425645062289797
  12. Mon Jun 23 12:20:08 2025 A0: 307720715412198902245756285088798939520
  13. Mon Jun 23 12:20:08 2025 A1: 154851425882455359498189862460616
  14. Mon Jun 23 12:20:08 2025 A2: 23710693390200126623989290
  15. Mon Jun 23 12:20:08 2025 A3: 792092101039223165
  16. Mon Jun 23 12:20:08 2025 A4: -672948348944
  17. Mon Jun 23 12:20:08 2025 A5: 20160
  18. Mon Jun 23 12:20:08 2025 skew 9901960.65, size 2.233e-15, alpha -7.160, combined = 1.854e-12 rroots = 3
  19. Mon Jun 23 12:20:08 2025
  20. Mon Jun 23 12:20:08 2025 commencing relation filtering
  21. Mon Jun 23 12:20:08 2025 setting target matrix density to 130.0
  22. Mon Jun 23 12:20:08 2025 estimated available RAM is 257736.5 MB
  23. Mon Jun 23 12:20:08 2025 commencing duplicate removal, pass 1
  24. Mon Jun 23 12:20:29 2025 error -1 reading relation 12119384
  25. Mon Jun 23 12:21:13 2025 error -1 reading relation 36148607
  26. Mon Jun 23 12:21:48 2025 error -1 reading relation 55474596
  27. Mon Jun 23 12:21:56 2025 error -1 reading relation 59338198
  28. Mon Jun 23 12:22:31 2025 error -1 reading relation 79940131
  29. Mon Jun 23 12:22:41 2025 error -15 reading relation 85264349
  30. Mon Jun 23 12:22:41 2025 error -1 reading relation 85744823
  31. Mon Jun 23 12:22:46 2025 error -1 reading relation 88222496
  32. Mon Jun 23 12:22:51 2025 error -1 reading relation 91492890
  33. Mon Jun 23 12:23:01 2025 error -1 reading relation 97035700
  34. Mon Jun 23 12:23:01 2025 error -1 reading relation 97203152
  35. Mon Jun 23 12:23:03 2025 error -1 reading relation 98224499
  36. Mon Jun 23 12:23:09 2025 error -5 reading relation 101751662
  37. Mon Jun 23 12:23:32 2025 skipped 94 malformed relations
  38. Mon Jun 23 12:23:32 2025 found 18217754 hash collisions in 115024864 relations
  39. Mon Jun 23 12:23:59 2025 added 121736 free relations
  40. Mon Jun 23 12:23:59 2025 commencing duplicate removal, pass 2
  41. Mon Jun 23 12:26:39 2025 found 16065178 duplicates and 99081422 unique relations
  42. Mon Jun 23 12:26:39 2025 memory use: 660.8 MB
  43. Mon Jun 23 12:26:39 2025 reading ideals above 720000
  44. Mon Jun 23 12:26:39 2025 commencing singleton removal, initial pass
  45. Mon Jun 23 12:32:30 2025 memory use: 2756.0 MB
  46. Mon Jun 23 12:32:30 2025 reading all ideals from disk
  47. Mon Jun 23 12:32:32 2025 memory use: 4427.3 MB
  48. Mon Jun 23 12:32:44 2025 keeping 89300912 ideals with weight <= 200, target excess is 510296
  49. Mon Jun 23 12:32:58 2025 commencing in-memory singleton removal
  50. Mon Jun 23 12:32:59 2025 begin with 99081422 relations and 89300912 unique ideals
  51. Mon Jun 23 12:33:04 2025 reduce to 63747316 relations and 50300323 ideals in 12 passes
  52. Mon Jun 23 12:33:04 2025 max relations containing the same ideal: 158
  53. Mon Jun 23 12:33:35 2025 removing 8723397 relations and 6723397 ideals in 2000000 cliques
  54. Mon Jun 23 12:33:39 2025 commencing in-memory singleton removal
  55. Mon Jun 23 12:33:40 2025 begin with 55023919 relations and 50300323 unique ideals
  56. Mon Jun 23 12:33:42 2025 reduce to 54105323 relations and 42623092 ideals in 8 passes
  57. Mon Jun 23 12:33:42 2025 max relations containing the same ideal: 142
  58. Mon Jun 23 12:34:08 2025 removing 6869271 relations and 4869271 ideals in 2000000 cliques
  59. Mon Jun 23 12:34:11 2025 commencing in-memory singleton removal
  60. Mon Jun 23 12:34:12 2025 begin with 47236052 relations and 42623092 unique ideals
  61. Mon Jun 23 12:34:14 2025 reduce to 46577846 relations and 37072022 ideals in 7 passes
  62. Mon Jun 23 12:34:14 2025 max relations containing the same ideal: 129
  63. Mon Jun 23 12:34:36 2025 removing 6376952 relations and 4376952 ideals in 2000000 cliques
  64. Mon Jun 23 12:34:39 2025 commencing in-memory singleton removal
  65. Mon Jun 23 12:34:39 2025 begin with 40200894 relations and 37072022 unique ideals
  66. Mon Jun 23 12:34:41 2025 reduce to 39587487 relations and 32057552 ideals in 7 passes
  67. Mon Jun 23 12:34:41 2025 max relations containing the same ideal: 116
  68. Mon Jun 23 12:35:00 2025 removing 6137724 relations and 4137724 ideals in 2000000 cliques
  69. Mon Jun 23 12:35:02 2025 commencing in-memory singleton removal
  70. Mon Jun 23 12:35:02 2025 begin with 33449763 relations and 32057552 unique ideals
  71. Mon Jun 23 12:35:04 2025 reduce to 32817206 relations and 27258902 ideals in 9 passes
  72. Mon Jun 23 12:35:04 2025 max relations containing the same ideal: 99
  73. Mon Jun 23 12:35:21 2025 removing 5999555 relations and 3999555 ideals in 2000000 cliques
  74. Mon Jun 23 12:35:23 2025 commencing in-memory singleton removal
  75. Mon Jun 23 12:35:23 2025 begin with 26817651 relations and 27258902 unique ideals
  76. Mon Jun 23 12:35:24 2025 reduce to 26120047 relations and 22525200 ideals in 7 passes
  77. Mon Jun 23 12:35:24 2025 max relations containing the same ideal: 88
  78. Mon Jun 23 12:35:36 2025 removing 5910296 relations and 3910296 ideals in 2000000 cliques
  79. Mon Jun 23 12:35:38 2025 commencing in-memory singleton removal
  80. Mon Jun 23 12:35:38 2025 begin with 20209751 relations and 22525200 unique ideals
  81. Mon Jun 23 12:35:39 2025 reduce to 19396183 relations and 17746458 ideals in 9 passes
  82. Mon Jun 23 12:35:39 2025 max relations containing the same ideal: 71
  83. Mon Jun 23 12:35:48 2025 removing 3494490 relations and 2436709 ideals in 1057781 cliques
  84. Mon Jun 23 12:35:49 2025 commencing in-memory singleton removal
  85. Mon Jun 23 12:35:50 2025 begin with 15901693 relations and 17746458 unique ideals
  86. Mon Jun 23 12:35:50 2025 reduce to 15489204 relations and 14876952 ideals in 8 passes
  87. Mon Jun 23 12:35:50 2025 max relations containing the same ideal: 61
  88. Mon Jun 23 12:35:58 2025 removing 130467 relations and 110159 ideals in 20308 cliques
  89. Mon Jun 23 12:35:58 2025 commencing in-memory singleton removal
  90. Mon Jun 23 12:35:59 2025 begin with 15358737 relations and 14876952 unique ideals
  91. Mon Jun 23 12:35:59 2025 reduce to 15358146 relations and 14766200 ideals in 5 passes
  92. Mon Jun 23 12:35:59 2025 max relations containing the same ideal: 61
  93. Mon Jun 23 12:36:01 2025 relations with 0 large ideals: 1553
  94. Mon Jun 23 12:36:01 2025 relations with 1 large ideals: 10474
  95. Mon Jun 23 12:36:01 2025 relations with 2 large ideals: 140185
  96. Mon Jun 23 12:36:01 2025 relations with 3 large ideals: 790784
  97. Mon Jun 23 12:36:01 2025 relations with 4 large ideals: 2327859
  98. Mon Jun 23 12:36:01 2025 relations with 5 large ideals: 3964270
  99. Mon Jun 23 12:36:01 2025 relations with 6 large ideals: 4146079
  100. Mon Jun 23 12:36:01 2025 relations with 7+ large ideals: 3976942
  101. Mon Jun 23 12:36:01 2025 commencing 2-way merge
  102. Mon Jun 23 12:36:10 2025 reduce to 9995521 relation sets and 9403575 unique ideals
  103. Mon Jun 23 12:36:10 2025 commencing full merge
  104. Mon Jun 23 12:40:21 2025 memory use: 1245.3 MB
  105. Mon Jun 23 12:40:22 2025 found 4448776 cycles, need 4419775
  106. Mon Jun 23 12:40:24 2025 weight of 4419775 cycles is about 575051183 (130.11/cycle)
  107. Mon Jun 23 12:40:24 2025 distribution of cycle lengths:
  108. Mon Jun 23 12:40:24 2025 1 relations: 93083
  109. Mon Jun 23 12:40:24 2025 2 relations: 216419
  110. Mon Jun 23 12:40:24 2025 3 relations: 278043
  111. Mon Jun 23 12:40:24 2025 4 relations: 300178
  112. Mon Jun 23 12:40:24 2025 5 relations: 317712
  113. Mon Jun 23 12:40:24 2025 6 relations: 320062
  114. Mon Jun 23 12:40:24 2025 7 relations: 321618
  115. Mon Jun 23 12:40:24 2025 8 relations: 310720
  116. Mon Jun 23 12:40:24 2025 9 relations: 296084
  117. Mon Jun 23 12:40:24 2025 10+ relations: 1965856
  118. Mon Jun 23 12:40:24 2025 heaviest cycle: 28 relations
  119. Mon Jun 23 12:40:25 2025 commencing cycle optimization
  120. Mon Jun 23 12:40:35 2025 start with 42252161 relations
  121. Mon Jun 23 12:42:55 2025 pruned 2200192 relations
  122. Mon Jun 23 12:42:55 2025 memory use: 1070.1 MB
  123. Mon Jun 23 12:42:55 2025 distribution of cycle lengths:
  124. Mon Jun 23 12:42:55 2025 1 relations: 93083
  125. Mon Jun 23 12:42:55 2025 2 relations: 222932
  126. Mon Jun 23 12:42:55 2025 3 relations: 291858
  127. Mon Jun 23 12:42:55 2025 4 relations: 315020
  128. Mon Jun 23 12:42:55 2025 5 relations: 336026
  129. Mon Jun 23 12:42:55 2025 6 relations: 339309
  130. Mon Jun 23 12:42:55 2025 7 relations: 341617
  131. Mon Jun 23 12:42:55 2025 8 relations: 329344
  132. Mon Jun 23 12:42:55 2025 9 relations: 312286
  133. Mon Jun 23 12:42:55 2025 10+ relations: 1838300
  134. Mon Jun 23 12:42:55 2025 heaviest cycle: 28 relations
  135. Mon Jun 23 12:43:04 2025 RelProcTime: 1376
  136. Mon Jun 23 12:43:04 2025
  137. Mon Jun 23 12:43:04 2025 commencing linear algebra
  138. Mon Jun 23 12:43:04 2025 using VBITS=256
  139. Mon Jun 23 12:43:04 2025 initialized process (0,0) of 1 x 1 grid
  140. Mon Jun 23 12:43:05 2025 read 4419775 cycles
  141. Mon Jun 23 12:43:14 2025 cycles contain 15054089 unique relations
  142. Mon Jun 23 12:45:08 2025 read 15054089 relations
  143. Mon Jun 23 12:45:09 2025 using 20 quadratic characters above 4294917295
  144. Mon Jun 23 12:45:10 2025 building initial matrix
  145. Mon Jun 23 12:49:14 2025 memory use: 2043.5 MB
  146. Mon Jun 23 12:49:19 2025 read 4419775 cycles
  147. Mon Jun 23 12:49:20 2025 matrix is 4419598 x 4419775 (2203.2 MB) with weight 672653264 (152.19/col)
  148. Mon Jun 23 12:49:20 2025 sparse part has weight 528932767 (119.67/col)
  149. Mon Jun 23 12:50:27 2025 filtering completed in 2 passes
  150. Mon Jun 23 12:50:28 2025 matrix is 4419523 x 4419700 (2203.2 MB) with weight 672649275 (152.19/col)
  151. Mon Jun 23 12:50:28 2025 sparse part has weight 528931374 (119.68/col)
  152. Mon Jun 23 12:50:53 2025 matrix starts at (0, 0)
  153. Mon Jun 23 12:50:53 2025 matrix is 4419523 x 4419700 (2203.2 MB) with weight 672649275 (152.19/col)
  154. Mon Jun 23 12:50:53 2025 sparse part has weight 528931374 (119.68/col)
  155. Mon Jun 23 12:50:53 2025 saving the first 240 matrix rows for later
  156. Mon Jun 23 12:50:54 2025 matrix includes 256 packed rows
  157. Mon Jun 23 12:50:56 2025 matrix is 4419283 x 4419700 (1986.6 MB) with weight 481515669 (108.95/col)
  158. Mon Jun 23 12:50:56 2025 sparse part has weight 450067468 (101.83/col)
  159. Mon Jun 23 12:50:56 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  160. Mon Jun 23 12:51:05 2025 commencing Lanczos iteration (64 threads)
  161. Mon Jun 23 12:51:05 2025 memory use: 2804.6 MB
  162. Mon Jun 23 12:51:44 2025 linear algebra at 0.7%, ETA 1h30m
  163. Mon Jun 23 12:52:42 2025 checking every 40000 dimensions, checkpointing every 2920000 dimensions
  164. Mon Jun 23 14:20:24 2025 lanczos halted after 17316 iterations (dim = 4419282)
  165. Mon Jun 23 14:20:42 2025 recovered 29 nontrivial dependencies
  166. Mon Jun 23 14:20:42 2025 BLanczosTime: 5858
  167. Mon Jun 23 14:20:42 2025
  168. Mon Jun 23 14:20:42 2025 commencing square root phase
  169. Mon Jun 23 14:20:42 2025 handling dependencies 1 to 64
  170. Mon Jun 23 14:20:42 2025 reading relations for dependency 1
  171. Mon Jun 23 14:20:42 2025 read 2209751 cycles
  172. Mon Jun 23 14:20:46 2025 cycles contain 7527168 unique relations
  173. Mon Jun 23 14:22:30 2025 read 7527168 relations
  174. Mon Jun 23 14:22:59 2025 multiplying 7527168 relations
  175. Mon Jun 23 14:24:09 2025 multiply complete, coefficients have about 383.13 million bits
  176. Mon Jun 23 14:24:11 2025 initial square root is modulo 7491091
  177. Mon Jun 23 14:27:21 2025 sqrtTime: 399
  178. Mon Jun 23 14:27:21 2025 p50 factor: 47018745108874002854488336949686604967489257657381
  179. Mon Jun 23 14:27:21 2025 p110 factor: 40460405437192900910657604375393272855454384783364481538063190831227035810092524682676922375074515637664769579
  180. Mon Jun 23 14:27:21 2025 elapsed time 02:07:14
  181.  
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