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Dec 29th, 2025
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  1. Mon Dec 29 21:38:05 2025
  2. Mon Dec 29 21:38:05 2025
  3. Mon Dec 29 21:38:05 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Dec 29 21:38:05 2025 random seeds: 57236961 4c6c0fa4
  5. Mon Dec 29 21:38:05 2025 factoring 11391692897575868198774608344280019905250132347646850657236413216629381133534758864441423106385915294584079329668179433940520070134286126605105365091737807432484957616358117374114681415844042774006580400519317103 (212 digits)
  6. Mon Dec 29 21:38:06 2025 no P-1/P+1/ECM available, skipping
  7. Mon Dec 29 21:38:06 2025 commencing number field sieve (212-digit input)
  8. Mon Dec 29 21:38:06 2025 R0: 20353954377680925378735164463584989896986090
  9. Mon Dec 29 21:38:06 2025 R1: -4511535700588096352467
  10. Mon Dec 29 21:38:06 2025 A0: 1
  11. Mon Dec 29 21:38:06 2025 A1: 3
  12. Mon Dec 29 21:38:06 2025 A2: -3
  13. Mon Dec 29 21:38:06 2025 A3: -4
  14. Mon Dec 29 21:38:06 2025 A4: 1
  15. Mon Dec 29 21:38:06 2025 A5: 1
  16. Mon Dec 29 21:38:06 2025 skew 1.47, size 9.317e-15, alpha 2.379, combined = 4.078e-12 rroots = 5
  17. Mon Dec 29 21:38:06 2025
  18. Mon Dec 29 21:38:06 2025 commencing relation filtering
  19. Mon Dec 29 21:38:06 2025 setting target matrix density to 112.0
  20. Mon Dec 29 21:38:06 2025 estimated available RAM is 7902.4 MB
  21. Mon Dec 29 21:38:06 2025 commencing duplicate removal, pass 1
  22. Mon Dec 29 21:49:49 2025 skipped 14 relations with b > 2^32
  23. Mon Dec 29 21:49:49 2025 found 3786850 hash collisions in 92767131 relations
  24. Mon Dec 29 21:49:58 2025 added 2926299 free relations
  25. Mon Dec 29 21:49:58 2025 commencing duplicate removal, pass 2
  26. Mon Dec 29 21:50:37 2025 found 0 duplicates and 95693430 unique relations
  27. Mon Dec 29 21:50:37 2025 memory use: 261.2 MB
  28. Mon Dec 29 21:50:37 2025 reading ideals above 48037888
  29. Mon Dec 29 21:50:37 2025 commencing singleton removal, initial pass
  30. Mon Dec 29 21:59:53 2025 memory use: 1506.0 MB
  31. Mon Dec 29 21:59:53 2025 reading all ideals from disk
  32. Mon Dec 29 21:59:57 2025 memory use: 1695.2 MB
  33. Mon Dec 29 22:00:01 2025 commencing in-memory singleton removal
  34. Mon Dec 29 22:00:06 2025 begin with 95693430 relations and 81122289 unique ideals
  35. Mon Dec 29 22:00:49 2025 reduce to 59623880 relations and 41008227 ideals in 13 passes
  36. Mon Dec 29 22:00:49 2025 max relations containing the same ideal: 27
  37. Mon Dec 29 22:00:53 2025 reading ideals above 720000
  38. Mon Dec 29 22:00:53 2025 commencing singleton removal, initial pass
  39. Mon Dec 29 22:08:38 2025 memory use: 1378.0 MB
  40. Mon Dec 29 22:08:38 2025 reading all ideals from disk
  41. Mon Dec 29 22:08:43 2025 memory use: 2149.8 MB
  42. Mon Dec 29 22:08:49 2025 keeping 46489206 ideals with weight <= 200, target excess is 299610
  43. Mon Dec 29 22:08:56 2025 commencing in-memory singleton removal
  44. Mon Dec 29 22:09:02 2025 begin with 59623881 relations and 46489206 unique ideals
  45. Mon Dec 29 22:09:22 2025 reduce to 59623750 relations and 46489071 ideals in 4 passes
  46. Mon Dec 29 22:09:22 2025 max relations containing the same ideal: 200
  47. Mon Dec 29 22:09:51 2025 removing 8453552 relations and 6453552 ideals in 2000000 cliques
  48. Mon Dec 29 22:09:54 2025 commencing in-memory singleton removal
  49. Mon Dec 29 22:09:58 2025 begin with 51170198 relations and 46489071 unique ideals
  50. Mon Dec 29 22:10:31 2025 reduce to 50100018 relations and 38919574 ideals in 9 passes
  51. Mon Dec 29 22:10:31 2025 max relations containing the same ideal: 189
  52. Mon Dec 29 22:10:53 2025 removing 6822491 relations and 4822491 ideals in 2000000 cliques
  53. Mon Dec 29 22:10:56 2025 commencing in-memory singleton removal
  54. Mon Dec 29 22:10:59 2025 begin with 43277527 relations and 38919574 unique ideals
  55. Mon Dec 29 22:11:27 2025 reduce to 42543144 relations and 33332528 ideals in 9 passes
  56. Mon Dec 29 22:11:27 2025 max relations containing the same ideal: 169
  57. Mon Dec 29 22:11:46 2025 removing 6300879 relations and 4300879 ideals in 2000000 cliques
  58. Mon Dec 29 22:11:48 2025 commencing in-memory singleton removal
  59. Mon Dec 29 22:11:51 2025 begin with 36242265 relations and 33332528 unique ideals
  60. Mon Dec 29 22:12:09 2025 reduce to 35564526 relations and 28323334 ideals in 7 passes
  61. Mon Dec 29 22:12:09 2025 max relations containing the same ideal: 152
  62. Mon Dec 29 22:12:25 2025 removing 6041262 relations and 4041262 ideals in 2000000 cliques
  63. Mon Dec 29 22:12:28 2025 commencing in-memory singleton removal
  64. Mon Dec 29 22:12:30 2025 begin with 29523264 relations and 28323334 unique ideals
  65. Mon Dec 29 22:12:48 2025 reduce to 28828767 relations and 23551057 ideals in 9 passes
  66. Mon Dec 29 22:12:48 2025 max relations containing the same ideal: 134
  67. Mon Dec 29 22:13:01 2025 removing 5891721 relations and 3891721 ideals in 2000000 cliques
  68. Mon Dec 29 22:13:03 2025 commencing in-memory singleton removal
  69. Mon Dec 29 22:13:05 2025 begin with 22937046 relations and 23551057 unique ideals
  70. Mon Dec 29 22:13:17 2025 reduce to 22164613 relations and 18838197 ideals in 8 passes
  71. Mon Dec 29 22:13:17 2025 max relations containing the same ideal: 110
  72. Mon Dec 29 22:13:28 2025 removing 5782136 relations and 3782136 ideals in 2000000 cliques
  73. Mon Dec 29 22:13:30 2025 commencing in-memory singleton removal
  74. Mon Dec 29 22:13:31 2025 begin with 16382477 relations and 18838197 unique ideals
  75. Mon Dec 29 22:13:41 2025 reduce to 15459172 relations and 14056428 ideals in 9 passes
  76. Mon Dec 29 22:13:41 2025 max relations containing the same ideal: 87
  77. Mon Dec 29 22:13:48 2025 removing 3393589 relations and 2338393 ideals in 1055196 cliques
  78. Mon Dec 29 22:13:50 2025 commencing in-memory singleton removal
  79. Mon Dec 29 22:13:51 2025 begin with 12065583 relations and 14056428 unique ideals
  80. Mon Dec 29 22:13:58 2025 reduce to 11547361 relations and 11166116 ideals in 9 passes
  81. Mon Dec 29 22:13:58 2025 max relations containing the same ideal: 70
  82. Mon Dec 29 22:14:03 2025 removing 209938 relations and 176241 ideals in 33697 cliques
  83. Mon Dec 29 22:14:04 2025 commencing in-memory singleton removal
  84. Mon Dec 29 22:14:05 2025 begin with 11337423 relations and 11166116 unique ideals
  85. Mon Dec 29 22:14:10 2025 reduce to 11334873 relations and 10987316 ideals in 6 passes
  86. Mon Dec 29 22:14:10 2025 max relations containing the same ideal: 69
  87. Mon Dec 29 22:14:12 2025 relations with 0 large ideals: 24388
  88. Mon Dec 29 22:14:12 2025 relations with 1 large ideals: 3750
  89. Mon Dec 29 22:14:12 2025 relations with 2 large ideals: 45670
  90. Mon Dec 29 22:14:12 2025 relations with 3 large ideals: 310297
  91. Mon Dec 29 22:14:12 2025 relations with 4 large ideals: 1120052
  92. Mon Dec 29 22:14:12 2025 relations with 5 large ideals: 2364744
  93. Mon Dec 29 22:14:12 2025 relations with 6 large ideals: 3449992
  94. Mon Dec 29 22:14:12 2025 relations with 7+ large ideals: 4015980
  95. Mon Dec 29 22:14:12 2025 commencing 2-way merge
  96. Mon Dec 29 22:14:19 2025 reduce to 7314501 relation sets and 6966944 unique ideals
  97. Mon Dec 29 22:14:19 2025 commencing full merge
  98. Mon Dec 29 22:17:41 2025 memory use: 1001.5 MB
  99. Mon Dec 29 22:17:42 2025 found 3372513 cycles, need 3367144
  100. Mon Dec 29 22:17:43 2025 weight of 3367144 cycles is about 377304493 (112.05/cycle)
  101. Mon Dec 29 22:17:43 2025 distribution of cycle lengths:
  102. Mon Dec 29 22:17:43 2025 1 relations: 143866
  103. Mon Dec 29 22:17:43 2025 2 relations: 195970
  104. Mon Dec 29 22:17:43 2025 3 relations: 230195
  105. Mon Dec 29 22:17:43 2025 4 relations: 240351
  106. Mon Dec 29 22:17:43 2025 5 relations: 244925
  107. Mon Dec 29 22:17:43 2025 6 relations: 245110
  108. Mon Dec 29 22:17:43 2025 7 relations: 239684
  109. Mon Dec 29 22:17:43 2025 8 relations: 229168
  110. Mon Dec 29 22:17:43 2025 9 relations: 214174
  111. Mon Dec 29 22:17:43 2025 10+ relations: 1383701
  112. Mon Dec 29 22:17:43 2025 heaviest cycle: 28 relations
  113. Mon Dec 29 22:17:45 2025 commencing cycle optimization
  114. Mon Dec 29 22:17:53 2025 start with 30753216 relations
  115. Mon Dec 29 22:19:11 2025 pruned 1477647 relations
  116. Mon Dec 29 22:19:11 2025 memory use: 786.6 MB
  117. Mon Dec 29 22:19:11 2025 distribution of cycle lengths:
  118. Mon Dec 29 22:19:11 2025 1 relations: 143866
  119. Mon Dec 29 22:19:11 2025 2 relations: 199984
  120. Mon Dec 29 22:19:11 2025 3 relations: 238908
  121. Mon Dec 29 22:19:11 2025 4 relations: 249668
  122. Mon Dec 29 22:19:11 2025 5 relations: 257711
  123. Mon Dec 29 22:19:11 2025 6 relations: 257666
  124. Mon Dec 29 22:19:11 2025 7 relations: 253126
  125. Mon Dec 29 22:19:11 2025 8 relations: 241237
  126. Mon Dec 29 22:19:11 2025 9 relations: 224812
  127. Mon Dec 29 22:19:11 2025 10+ relations: 1300166
  128. Mon Dec 29 22:19:11 2025 heaviest cycle: 28 relations
  129. Mon Dec 29 22:19:19 2025 RelProcTime: 2473
  130. Mon Dec 29 22:19:19 2025
  131. Mon Dec 29 22:19:19 2025 commencing linear algebra
  132. Mon Dec 29 22:19:19 2025 using VBITS=512
  133. Mon Dec 29 22:19:20 2025 read 3367144 cycles
  134. Mon Dec 29 22:19:28 2025 cycles contain 11146415 unique relations
  135. Mon Dec 29 22:20:29 2025 read 11146415 relations
  136. Mon Dec 29 22:20:48 2025 using 20 quadratic characters above 4294917295
  137. Mon Dec 29 22:21:46 2025 building initial matrix
  138. Mon Dec 29 22:24:15 2025 memory use: 1367.6 MB
  139. Mon Dec 29 22:24:16 2025 read 3367144 cycles
  140. Mon Dec 29 22:24:17 2025 matrix is 3366967 x 3367144 (1485.3 MB) with weight 425472469 (126.36/col)
  141. Mon Dec 29 22:24:17 2025 sparse part has weight 352326874 (104.64/col)
  142. Mon Dec 29 22:25:00 2025 filtering completed in 2 passes
  143. Mon Dec 29 22:25:01 2025 matrix is 3366912 x 3367050 (1485.3 MB) with weight 425470226 (126.36/col)
  144. Mon Dec 29 22:25:01 2025 sparse part has weight 352326244 (104.64/col)
  145. Mon Dec 29 22:25:10 2025 matrix starts at (0, 0)
  146. Mon Dec 29 22:25:10 2025 matrix is 3366912 x 3367050 (1485.3 MB) with weight 425470226 (126.36/col)
  147. Mon Dec 29 22:25:10 2025 sparse part has weight 352326244 (104.64/col)
  148. Mon Dec 29 22:25:10 2025 saving the first 496 matrix rows for later
  149. Mon Dec 29 22:25:11 2025 matrix includes 512 packed rows
  150. Mon Dec 29 22:25:14 2025 matrix is 3366416 x 3367050 (1389.7 MB) with weight 300877957 (89.36/col)
  151. Mon Dec 29 22:25:14 2025 sparse part has weight 283500448 (84.20/col)
  152. Mon Dec 29 22:25:15 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  153. Mon Dec 29 22:25:15 2025 selected card has CUDA arch 8.6
  154. Mon Dec 29 22:25:44 2025 commencing Lanczos iteration
  155. Mon Dec 29 22:25:44 2025 memory use: 3858.4 MB
  156. Mon Dec 29 22:25:56 2025 linear algebra at 0.5%, ETA 0h40m
  157. Mon Dec 29 22:25:57 2025 checkpointing every 4760000 dimensions
  158. Mon Dec 29 23:08:28 2025 lanczos halted after 6586 iterations (dim = 3366414)
  159. Mon Dec 29 23:09:37 2025 recovered 33 nontrivial dependencies
  160. Mon Dec 29 23:09:37 2025 BLanczosTime: 3018
  161. Mon Dec 29 23:09:37 2025
  162. Mon Dec 29 23:09:37 2025 commencing square root phase
  163. Mon Dec 29 23:09:37 2025 handling dependencies 1 to 64
  164. Mon Dec 29 23:09:37 2025 reading relations for dependency 1
  165. Mon Dec 29 23:09:38 2025 read 1682667 cycles
  166. Mon Dec 29 23:09:42 2025 cycles contain 5569198 unique relations
  167. Mon Dec 29 23:10:31 2025 read 5569198 relations
  168. Mon Dec 29 23:11:00 2025 multiplying 5569198 relations
  169. Mon Dec 29 23:13:21 2025 multiply complete, coefficients have about 135.28 million bits
  170. Mon Dec 29 23:13:22 2025 initial square root is modulo 71593
  171. Mon Dec 29 23:16:15 2025 sqrtTime: 398
  172. Mon Dec 29 23:16:15 2025 p53 factor: 25601374279246268494572067983215697249982236303093703
  173. Mon Dec 29 23:16:15 2025 p159 factor: 444964116899401529802040165512490649687787324952928827996024664293663702517531165562316588633550698360175404642985989620302437978629488018828872622716899787801
  174. Mon Dec 29 23:16:15 2025 elapsed time 01:38:10
  175.  
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