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Jun 3rd, 2025
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  1. Tue Jun 3 13:04:15 2025
  2. Tue Jun 3 13:04:15 2025
  3. Tue Jun 3 13:04:15 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jun 3 13:04:15 2025 random seeds: 5e0fe009 bf8c07c6
  5. Tue Jun 3 13:04:15 2025 MPI process 0 of 1
  6. Tue Jun 3 13:04:15 2025 Using 64 OpenMP threads
  7. Tue Jun 3 13:04:15 2025 factoring 263272708678741996869687842480223927382800890748220487587942628400053938919468102587373694480150357092998748845948192232347989947857150812376712822969958201137239 (162 digits)
  8. Tue Jun 3 13:04:16 2025 searching for 15-digit factors
  9. Tue Jun 3 13:04:16 2025 commencing number field sieve (162-digit input)
  10. Tue Jun 3 13:04:16 2025 R0: -759605653650801590888435186901
  11. Tue Jun 3 13:04:16 2025 R1: 7633503448357908515465773
  12. Tue Jun 3 13:04:16 2025 A0: 36745360667014513482790012790659714654
  13. Tue Jun 3 13:04:16 2025 A1: 47619988387419320303113411838721
  14. Tue Jun 3 13:04:16 2025 A2: -86589715870738842624815660
  15. Tue Jun 3 13:04:16 2025 A3: 1726099707019114773
  16. Tue Jun 3 13:04:16 2025 A4: 17005861429972
  17. Tue Jun 3 13:04:16 2025 A5: 670320
  18. Tue Jun 3 13:04:16 2025 skew 1333709.93, size 9.900e-16, alpha -6.819, combined = 1.149e-12 rroots = 3
  19. Tue Jun 3 13:04:16 2025
  20. Tue Jun 3 13:04:16 2025 commencing relation filtering
  21. Tue Jun 3 13:04:16 2025 setting target matrix density to 120.0
  22. Tue Jun 3 13:04:16 2025 estimated available RAM is 257736.5 MB
  23. Tue Jun 3 13:04:16 2025 commencing duplicate removal, pass 1
  24. Tue Jun 3 13:06:18 2025 error -1 reading relation 70729872
  25. Tue Jun 3 13:06:25 2025 error -1 reading relation 73908010
  26. Tue Jun 3 13:06:34 2025 error -1 reading relation 79183314
  27. Tue Jun 3 13:06:42 2025 error -15 reading relation 83895514
  28. Tue Jun 3 13:06:42 2025 error -1 reading relation 83895515
  29. Tue Jun 3 13:07:25 2025 error -1 reading relation 107027438
  30. Tue Jun 3 13:07:25 2025 error -1 reading relation 107028498
  31. Tue Jun 3 13:07:33 2025 skipped 77 malformed relations
  32. Tue Jun 3 13:07:33 2025 found 19536447 hash collisions in 111830186 relations
  33. Tue Jun 3 13:07:56 2025 added 122062 free relations
  34. Tue Jun 3 13:07:56 2025 commencing duplicate removal, pass 2
  35. Tue Jun 3 13:10:03 2025 found 18248396 duplicates and 93703852 unique relations
  36. Tue Jun 3 13:10:03 2025 memory use: 660.8 MB
  37. Tue Jun 3 13:10:03 2025 reading ideals above 720000
  38. Tue Jun 3 13:10:03 2025 commencing singleton removal, initial pass
  39. Tue Jun 3 13:15:37 2025 memory use: 2756.0 MB
  40. Tue Jun 3 13:15:37 2025 reading all ideals from disk
  41. Tue Jun 3 13:15:39 2025 memory use: 4223.9 MB
  42. Tue Jun 3 13:15:50 2025 keeping 88376690 ideals with weight <= 200, target excess is 489537
  43. Tue Jun 3 13:16:03 2025 commencing in-memory singleton removal
  44. Tue Jun 3 13:16:05 2025 begin with 93703852 relations and 88376690 unique ideals
  45. Tue Jun 3 13:16:10 2025 reduce to 56755409 relations and 47275757 ideals in 15 passes
  46. Tue Jun 3 13:16:10 2025 max relations containing the same ideal: 155
  47. Tue Jun 3 13:16:36 2025 removing 5744364 relations and 4744364 ideals in 1000000 cliques
  48. Tue Jun 3 13:16:39 2025 commencing in-memory singleton removal
  49. Tue Jun 3 13:16:39 2025 begin with 51011045 relations and 47275757 unique ideals
  50. Tue Jun 3 13:16:42 2025 reduce to 50585477 relations and 42096367 ideals in 8 passes
  51. Tue Jun 3 13:16:42 2025 max relations containing the same ideal: 144
  52. Tue Jun 3 13:17:03 2025 removing 4366843 relations and 3366844 ideals in 1000000 cliques
  53. Tue Jun 3 13:17:05 2025 commencing in-memory singleton removal
  54. Tue Jun 3 13:17:06 2025 begin with 46218634 relations and 42096367 unique ideals
  55. Tue Jun 3 13:17:09 2025 reduce to 45932103 relations and 38437212 ideals in 8 passes
  56. Tue Jun 3 13:17:09 2025 max relations containing the same ideal: 132
  57. Tue Jun 3 13:17:28 2025 removing 3955801 relations and 2955801 ideals in 1000000 cliques
  58. Tue Jun 3 13:17:30 2025 commencing in-memory singleton removal
  59. Tue Jun 3 13:17:30 2025 begin with 41976302 relations and 38437212 unique ideals
  60. Tue Jun 3 13:17:32 2025 reduce to 41718079 relations and 35218033 ideals in 7 passes
  61. Tue Jun 3 13:17:32 2025 max relations containing the same ideal: 125
  62. Tue Jun 3 13:17:46 2025 removing 3745089 relations and 2745089 ideals in 1000000 cliques
  63. Tue Jun 3 13:17:48 2025 commencing in-memory singleton removal
  64. Tue Jun 3 13:17:48 2025 begin with 37972990 relations and 35218033 unique ideals
  65. Tue Jun 3 13:17:49 2025 reduce to 37724092 relations and 32218641 ideals in 7 passes
  66. Tue Jun 3 13:17:49 2025 max relations containing the same ideal: 117
  67. Tue Jun 3 13:18:01 2025 removing 3622520 relations and 2622520 ideals in 1000000 cliques
  68. Tue Jun 3 13:18:03 2025 commencing in-memory singleton removal
  69. Tue Jun 3 13:18:03 2025 begin with 34101572 relations and 32218641 unique ideals
  70. Tue Jun 3 13:18:04 2025 reduce to 33850518 relations and 29339316 ideals in 7 passes
  71. Tue Jun 3 13:18:04 2025 max relations containing the same ideal: 115
  72. Tue Jun 3 13:18:17 2025 removing 3543052 relations and 2543052 ideals in 1000000 cliques
  73. Tue Jun 3 13:18:19 2025 commencing in-memory singleton removal
  74. Tue Jun 3 13:18:20 2025 begin with 30307466 relations and 29339316 unique ideals
  75. Tue Jun 3 13:18:21 2025 reduce to 30046288 relations and 26528381 ideals in 8 passes
  76. Tue Jun 3 13:18:21 2025 max relations containing the same ideal: 103
  77. Tue Jun 3 13:18:32 2025 removing 3489612 relations and 2489612 ideals in 1000000 cliques
  78. Tue Jun 3 13:18:33 2025 commencing in-memory singleton removal
  79. Tue Jun 3 13:18:33 2025 begin with 26556676 relations and 26528381 unique ideals
  80. Tue Jun 3 13:18:35 2025 reduce to 26277722 relations and 23752008 ideals in 7 passes
  81. Tue Jun 3 13:18:35 2025 max relations containing the same ideal: 95
  82. Tue Jun 3 13:18:46 2025 removing 3453598 relations and 2453598 ideals in 1000000 cliques
  83. Tue Jun 3 13:18:48 2025 commencing in-memory singleton removal
  84. Tue Jun 3 13:18:48 2025 begin with 22824124 relations and 23752008 unique ideals
  85. Tue Jun 3 13:18:49 2025 reduce to 22517074 relations and 20981506 ideals in 8 passes
  86. Tue Jun 3 13:18:49 2025 max relations containing the same ideal: 84
  87. Tue Jun 3 13:18:59 2025 removing 3345338 relations and 2377633 ideals in 967705 cliques
  88. Tue Jun 3 13:19:00 2025 commencing in-memory singleton removal
  89. Tue Jun 3 13:19:01 2025 begin with 19171736 relations and 20981506 unique ideals
  90. Tue Jun 3 13:19:02 2025 reduce to 18837578 relations and 18257798 ideals in 8 passes
  91. Tue Jun 3 13:19:02 2025 max relations containing the same ideal: 76
  92. Tue Jun 3 13:19:10 2025 removing 86903 relations and 74986 ideals in 11917 cliques
  93. Tue Jun 3 13:19:11 2025 commencing in-memory singleton removal
  94. Tue Jun 3 13:19:11 2025 begin with 18750675 relations and 18257798 unique ideals
  95. Tue Jun 3 13:19:11 2025 reduce to 18750454 relations and 18182591 ideals in 5 passes
  96. Tue Jun 3 13:19:11 2025 max relations containing the same ideal: 74
  97. Tue Jun 3 13:19:14 2025 relations with 0 large ideals: 1591
  98. Tue Jun 3 13:19:14 2025 relations with 1 large ideals: 8054
  99. Tue Jun 3 13:19:14 2025 relations with 2 large ideals: 113631
  100. Tue Jun 3 13:19:14 2025 relations with 3 large ideals: 699219
  101. Tue Jun 3 13:19:14 2025 relations with 4 large ideals: 2285224
  102. Tue Jun 3 13:19:14 2025 relations with 5 large ideals: 4379478
  103. Tue Jun 3 13:19:14 2025 relations with 6 large ideals: 5196921
  104. Tue Jun 3 13:19:14 2025 relations with 7+ large ideals: 6066336
  105. Tue Jun 3 13:19:14 2025 commencing 2-way merge
  106. Tue Jun 3 13:19:27 2025 reduce to 12130957 relation sets and 11563094 unique ideals
  107. Tue Jun 3 13:19:27 2025 commencing full merge
  108. Tue Jun 3 13:24:22 2025 memory use: 1494.3 MB
  109. Tue Jun 3 13:24:23 2025 found 5523850 cycles, need 5479294
  110. Tue Jun 3 13:24:25 2025 weight of 5479294 cycles is about 658255521 (120.14/cycle)
  111. Tue Jun 3 13:24:25 2025 distribution of cycle lengths:
  112. Tue Jun 3 13:24:25 2025 1 relations: 189255
  113. Tue Jun 3 13:24:25 2025 2 relations: 336971
  114. Tue Jun 3 13:24:25 2025 3 relations: 405932
  115. Tue Jun 3 13:24:25 2025 4 relations: 417386
  116. Tue Jun 3 13:24:25 2025 5 relations: 426555
  117. Tue Jun 3 13:24:25 2025 6 relations: 421345
  118. Tue Jun 3 13:24:25 2025 7 relations: 412103
  119. Tue Jun 3 13:24:25 2025 8 relations: 389761
  120. Tue Jun 3 13:24:25 2025 9 relations: 364494
  121. Tue Jun 3 13:24:25 2025 10+ relations: 2115492
  122. Tue Jun 3 13:24:25 2025 heaviest cycle: 28 relations
  123. Tue Jun 3 13:24:27 2025 commencing cycle optimization
  124. Tue Jun 3 13:24:41 2025 start with 47562069 relations
  125. Tue Jun 3 13:26:41 2025 pruned 2194910 relations
  126. Tue Jun 3 13:26:41 2025 memory use: 1266.2 MB
  127. Tue Jun 3 13:26:41 2025 distribution of cycle lengths:
  128. Tue Jun 3 13:26:41 2025 1 relations: 189255
  129. Tue Jun 3 13:26:41 2025 2 relations: 346732
  130. Tue Jun 3 13:26:41 2025 3 relations: 424823
  131. Tue Jun 3 13:26:41 2025 4 relations: 436627
  132. Tue Jun 3 13:26:41 2025 5 relations: 449314
  133. Tue Jun 3 13:26:41 2025 6 relations: 442535
  134. Tue Jun 3 13:26:41 2025 7 relations: 433432
  135. Tue Jun 3 13:26:41 2025 8 relations: 408020
  136. Tue Jun 3 13:26:41 2025 9 relations: 380017
  137. Tue Jun 3 13:26:41 2025 10+ relations: 1968539
  138. Tue Jun 3 13:26:41 2025 heaviest cycle: 28 relations
  139. Tue Jun 3 13:26:50 2025 RelProcTime: 1354
  140. Tue Jun 3 13:26:50 2025
  141. Tue Jun 3 13:26:50 2025 commencing linear algebra
  142. Tue Jun 3 13:26:50 2025 using VBITS=256
  143. Tue Jun 3 13:26:50 2025 initialized process (0,0) of 1 x 1 grid
  144. Tue Jun 3 13:26:51 2025 read 5479294 cycles
  145. Tue Jun 3 13:27:03 2025 cycles contain 18433505 unique relations
  146. Tue Jun 3 13:29:09 2025 read 18433505 relations
  147. Tue Jun 3 13:29:10 2025 using 20 quadratic characters above 4294917295
  148. Tue Jun 3 13:29:13 2025 building initial matrix
  149. Tue Jun 3 13:34:00 2025 memory use: 2529.4 MB
  150. Tue Jun 3 13:34:06 2025 read 5479294 cycles
  151. Tue Jun 3 13:34:07 2025 matrix is 5479117 x 5479294 (2580.4 MB) with weight 781492503 (142.63/col)
  152. Tue Jun 3 13:34:07 2025 sparse part has weight 610686938 (111.45/col)
  153. Tue Jun 3 13:35:18 2025 filtering completed in 2 passes
  154. Tue Jun 3 13:35:20 2025 matrix is 5478939 x 5479114 (2580.4 MB) with weight 781484332 (142.63/col)
  155. Tue Jun 3 13:35:20 2025 sparse part has weight 610684491 (111.46/col)
  156. Tue Jun 3 13:35:54 2025 matrix starts at (0, 0)
  157. Tue Jun 3 13:35:55 2025 matrix is 5478939 x 5479114 (2580.4 MB) with weight 781484332 (142.63/col)
  158. Tue Jun 3 13:35:55 2025 sparse part has weight 610684491 (111.46/col)
  159. Tue Jun 3 13:35:55 2025 saving the first 240 matrix rows for later
  160. Tue Jun 3 13:35:57 2025 matrix includes 256 packed rows
  161. Tue Jun 3 13:36:00 2025 matrix is 5478699 x 5479114 (2298.1 MB) with weight 552279308 (100.80/col)
  162. Tue Jun 3 13:36:00 2025 sparse part has weight 514757707 (93.95/col)
  163. Tue Jun 3 13:36:00 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  164. Tue Jun 3 13:36:17 2025 commencing Lanczos iteration (64 threads)
  165. Tue Jun 3 13:36:17 2025 memory use: 3330.0 MB
  166. Tue Jun 3 13:37:58 2025 linear algebra at 0.6%, ETA 4h50m
  167. Tue Jun 3 13:39:04 2025 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  168. Tue Jun 3 15:47:39 2025 lanczos halted after 21466 iterations (dim = 5478699)
  169. Tue Jun 3 15:47:56 2025 recovered 33 nontrivial dependencies
  170. Tue Jun 3 15:47:57 2025 BLanczosTime: 8467
  171. Tue Jun 3 15:47:57 2025
  172. Tue Jun 3 15:47:57 2025 commencing square root phase
  173. Tue Jun 3 15:47:57 2025 handling dependencies 1 to 64
  174. Tue Jun 3 15:47:57 2025 reading relations for dependency 1
  175. Tue Jun 3 15:47:57 2025 read 2738197 cycles
  176. Tue Jun 3 15:48:01 2025 cycles contain 9212102 unique relations
  177. Tue Jun 3 15:49:33 2025 read 9212102 relations
  178. Tue Jun 3 15:50:03 2025 multiplying 9212102 relations
  179. Tue Jun 3 15:50:53 2025 multiply complete, coefficients have about 528.31 million bits
  180. Tue Jun 3 15:50:55 2025 initial square root is modulo 3017019799
  181. Tue Jun 3 15:53:27 2025 sqrtTime: 330
  182. Tue Jun 3 15:53:27 2025 p79 factor: 2848810559111502899811000558220400329487650876977091018306695936296543227944479
  183. Tue Jun 3 15:53:27 2025 p83 factor: 92414958178494121850407465359570287597855922848283324373923100180606092450563018441
  184. Tue Jun 3 15:53:27 2025 elapsed time 02:49:12
  185.  
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