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Dec 30th, 2025
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  1. Tue Dec 30 17:16:42 2025
  2. Tue Dec 30 17:16:42 2025
  3. Tue Dec 30 17:16:42 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Dec 30 17:16:42 2025 random seeds: ce7a0698 f0041551
  5. Tue Dec 30 17:16:42 2025 factoring 338690083097187122344166006825017806964820166674917832021272270342272831182181331613765815253865203381852578476514014296578670172227099393440367038455949485521532163224687680289978621124520103480221721518759071 (210 digits)
  6. Tue Dec 30 17:16:43 2025 no P-1/P+1/ECM available, skipping
  7. Tue Dec 30 17:16:43 2025 commencing number field sieve (210-digit input)
  8. Tue Dec 30 17:16:43 2025 R0: 17424191727156485838066472240045024285824242
  9. Tue Dec 30 17:16:43 2025 R1: -4174229477059986197671
  10. Tue Dec 30 17:16:43 2025 A0: 1
  11. Tue Dec 30 17:16:43 2025 A1: 3
  12. Tue Dec 30 17:16:43 2025 A2: -3
  13. Tue Dec 30 17:16:43 2025 A3: -4
  14. Tue Dec 30 17:16:43 2025 A4: 1
  15. Tue Dec 30 17:16:43 2025 A5: 1
  16. Tue Dec 30 17:16:43 2025 skew 1.47, size 9.812e-15, alpha 2.379, combined = 4.217e-12 rroots = 5
  17. Tue Dec 30 17:16:43 2025
  18. Tue Dec 30 17:16:43 2025 commencing relation filtering
  19. Tue Dec 30 17:16:43 2025 setting target matrix density to 104.0
  20. Tue Dec 30 17:16:43 2025 estimated available RAM is 7902.4 MB
  21. Tue Dec 30 17:16:43 2025 commencing duplicate removal, pass 1
  22. Tue Dec 30 17:25:38 2025 skipped 14 relations with b > 2^32
  23. Tue Dec 30 17:25:38 2025 found 3726222 hash collisions in 92008024 relations
  24. Tue Dec 30 17:25:38 2025 commencing duplicate removal, pass 2
  25. Tue Dec 30 17:26:04 2025 found 0 duplicates and 92008024 unique relations
  26. Tue Dec 30 17:26:04 2025 memory use: 261.2 MB
  27. Tue Dec 30 17:26:04 2025 reading ideals above 47906816
  28. Tue Dec 30 17:26:04 2025 commencing singleton removal, initial pass
  29. Tue Dec 30 17:32:39 2025 memory use: 1506.0 MB
  30. Tue Dec 30 17:32:39 2025 reading all ideals from disk
  31. Tue Dec 30 17:32:42 2025 memory use: 1633.1 MB
  32. Tue Dec 30 17:32:45 2025 commencing in-memory singleton removal
  33. Tue Dec 30 17:32:48 2025 begin with 92008024 relations and 80056721 unique ideals
  34. Tue Dec 30 17:33:20 2025 reduce to 54914493 relations and 38550883 ideals in 14 passes
  35. Tue Dec 30 17:33:20 2025 max relations containing the same ideal: 74
  36. Tue Dec 30 17:33:23 2025 reading ideals above 720000
  37. Tue Dec 30 17:33:23 2025 commencing singleton removal, initial pass
  38. Tue Dec 30 17:38:18 2025 memory use: 1378.0 MB
  39. Tue Dec 30 17:38:18 2025 reading all ideals from disk
  40. Tue Dec 30 17:38:22 2025 memory use: 1981.7 MB
  41. Tue Dec 30 17:38:26 2025 keeping 44041332 ideals with weight <= 200, target excess is 275363
  42. Tue Dec 30 17:38:31 2025 commencing in-memory singleton removal
  43. Tue Dec 30 17:38:34 2025 begin with 54914494 relations and 44041332 unique ideals
  44. Tue Dec 30 17:39:07 2025 reduce to 54914273 relations and 44041108 ideals in 10 passes
  45. Tue Dec 30 17:39:07 2025 max relations containing the same ideal: 200
  46. Tue Dec 30 17:39:26 2025 removing 8718396 relations and 6718396 ideals in 2000000 cliques
  47. Tue Dec 30 17:39:29 2025 commencing in-memory singleton removal
  48. Tue Dec 30 17:39:31 2025 begin with 46195877 relations and 44041108 unique ideals
  49. Tue Dec 30 17:39:54 2025 reduce to 44951401 relations and 36019929 ideals in 9 passes
  50. Tue Dec 30 17:39:54 2025 max relations containing the same ideal: 185
  51. Tue Dec 30 17:40:09 2025 removing 7026652 relations and 5026652 ideals in 2000000 cliques
  52. Tue Dec 30 17:40:11 2025 commencing in-memory singleton removal
  53. Tue Dec 30 17:40:13 2025 begin with 37924749 relations and 36019929 unique ideals
  54. Tue Dec 30 17:40:31 2025 reduce to 37057403 relations and 30086237 ideals in 9 passes
  55. Tue Dec 30 17:40:31 2025 max relations containing the same ideal: 167
  56. Tue Dec 30 17:40:44 2025 removing 6476768 relations and 4476768 ideals in 2000000 cliques
  57. Tue Dec 30 17:40:46 2025 commencing in-memory singleton removal
  58. Tue Dec 30 17:40:48 2025 begin with 30580635 relations and 30086237 unique ideals
  59. Tue Dec 30 17:41:01 2025 reduce to 29752956 relations and 24739237 ideals in 8 passes
  60. Tue Dec 30 17:41:01 2025 max relations containing the same ideal: 147
  61. Tue Dec 30 17:41:11 2025 removing 6209905 relations and 4209905 ideals in 2000000 cliques
  62. Tue Dec 30 17:41:13 2025 commencing in-memory singleton removal
  63. Tue Dec 30 17:41:14 2025 begin with 23543051 relations and 24739237 unique ideals
  64. Tue Dec 30 17:41:25 2025 reduce to 22654090 relations and 19584501 ideals in 9 passes
  65. Tue Dec 30 17:41:25 2025 max relations containing the same ideal: 122
  66. Tue Dec 30 17:41:33 2025 removing 6036288 relations and 4036288 ideals in 2000000 cliques
  67. Tue Dec 30 17:41:35 2025 commencing in-memory singleton removal
  68. Tue Dec 30 17:41:35 2025 begin with 16617802 relations and 19584501 unique ideals
  69. Tue Dec 30 17:41:43 2025 reduce to 15570101 relations and 14413212 ideals in 9 passes
  70. Tue Dec 30 17:41:43 2025 max relations containing the same ideal: 89
  71. Tue Dec 30 17:41:48 2025 removing 2978455 relations and 2140988 ideals in 837467 cliques
  72. Tue Dec 30 17:41:49 2025 commencing in-memory singleton removal
  73. Tue Dec 30 17:41:50 2025 begin with 12591646 relations and 14413212 unique ideals
  74. Tue Dec 30 17:41:55 2025 reduce to 12170138 relations and 11828712 ideals in 8 passes
  75. Tue Dec 30 17:41:55 2025 max relations containing the same ideal: 80
  76. Tue Dec 30 17:41:59 2025 removing 152040 relations and 130036 ideals in 22004 cliques
  77. Tue Dec 30 17:42:00 2025 commencing in-memory singleton removal
  78. Tue Dec 30 17:42:01 2025 begin with 12018098 relations and 11828712 unique ideals
  79. Tue Dec 30 17:42:04 2025 reduce to 12016892 relations and 11697469 ideals in 5 passes
  80. Tue Dec 30 17:42:04 2025 max relations containing the same ideal: 78
  81. Tue Dec 30 17:42:06 2025 relations with 0 large ideals: 22425
  82. Tue Dec 30 17:42:06 2025 relations with 1 large ideals: 3014
  83. Tue Dec 30 17:42:06 2025 relations with 2 large ideals: 34973
  84. Tue Dec 30 17:42:06 2025 relations with 3 large ideals: 255932
  85. Tue Dec 30 17:42:06 2025 relations with 4 large ideals: 998312
  86. Tue Dec 30 17:42:06 2025 relations with 5 large ideals: 2291386
  87. Tue Dec 30 17:42:06 2025 relations with 6 large ideals: 3633364
  88. Tue Dec 30 17:42:06 2025 relations with 7+ large ideals: 4777486
  89. Tue Dec 30 17:42:06 2025 commencing 2-way merge
  90. Tue Dec 30 17:42:11 2025 reduce to 7640193 relation sets and 7320770 unique ideals
  91. Tue Dec 30 17:42:11 2025 commencing full merge
  92. Tue Dec 30 17:44:39 2025 memory use: 1061.9 MB
  93. Tue Dec 30 17:44:40 2025 found 3606817 cycles, need 3590970
  94. Tue Dec 30 17:44:41 2025 weight of 3590970 cycles is about 373520373 (104.02/cycle)
  95. Tue Dec 30 17:44:41 2025 distribution of cycle lengths:
  96. Tue Dec 30 17:44:41 2025 1 relations: 197486
  97. Tue Dec 30 17:44:41 2025 2 relations: 245363
  98. Tue Dec 30 17:44:41 2025 3 relations: 269239
  99. Tue Dec 30 17:44:41 2025 4 relations: 272322
  100. Tue Dec 30 17:44:41 2025 5 relations: 275093
  101. Tue Dec 30 17:44:41 2025 6 relations: 269102
  102. Tue Dec 30 17:44:41 2025 7 relations: 259147
  103. Tue Dec 30 17:44:41 2025 8 relations: 244562
  104. Tue Dec 30 17:44:41 2025 9 relations: 226959
  105. Tue Dec 30 17:44:41 2025 10+ relations: 1331697
  106. Tue Dec 30 17:44:41 2025 heaviest cycle: 28 relations
  107. Tue Dec 30 17:44:42 2025 commencing cycle optimization
  108. Tue Dec 30 17:44:48 2025 start with 30517237 relations
  109. Tue Dec 30 17:45:40 2025 pruned 1335515 relations
  110. Tue Dec 30 17:45:40 2025 memory use: 812.0 MB
  111. Tue Dec 30 17:45:40 2025 distribution of cycle lengths:
  112. Tue Dec 30 17:45:40 2025 1 relations: 197486
  113. Tue Dec 30 17:45:40 2025 2 relations: 250131
  114. Tue Dec 30 17:45:40 2025 3 relations: 278930
  115. Tue Dec 30 17:45:40 2025 4 relations: 282498
  116. Tue Dec 30 17:45:40 2025 5 relations: 287733
  117. Tue Dec 30 17:45:40 2025 6 relations: 281376
  118. Tue Dec 30 17:45:40 2025 7 relations: 272045
  119. Tue Dec 30 17:45:40 2025 8 relations: 255824
  120. Tue Dec 30 17:45:40 2025 9 relations: 236886
  121. Tue Dec 30 17:45:40 2025 10+ relations: 1248061
  122. Tue Dec 30 17:45:40 2025 heaviest cycle: 28 relations
  123. Tue Dec 30 17:45:45 2025 RelProcTime: 1742
  124. Tue Dec 30 17:45:45 2025
  125. Tue Dec 30 17:45:45 2025 commencing linear algebra
  126. Tue Dec 30 17:45:45 2025 using VBITS=512
  127. Tue Dec 30 17:45:45 2025 read 3590970 cycles
  128. Tue Dec 30 17:45:52 2025 cycles contain 11832752 unique relations
  129. Tue Dec 30 17:46:39 2025 read 11832752 relations
  130. Tue Dec 30 17:46:51 2025 using 20 quadratic characters above 4294917295
  131. Tue Dec 30 17:47:37 2025 building initial matrix
  132. Tue Dec 30 17:49:19 2025 memory use: 1441.4 MB
  133. Tue Dec 30 17:49:21 2025 read 3590970 cycles
  134. Tue Dec 30 17:49:21 2025 matrix is 3590793 x 3590970 (1490.7 MB) with weight 426451315 (118.76/col)
  135. Tue Dec 30 17:49:21 2025 sparse part has weight 351277193 (97.82/col)
  136. Tue Dec 30 17:49:52 2025 filtering completed in 2 passes
  137. Tue Dec 30 17:49:53 2025 matrix is 3590700 x 3590838 (1490.7 MB) with weight 426446560 (118.76/col)
  138. Tue Dec 30 17:49:53 2025 sparse part has weight 351274930 (97.83/col)
  139. Tue Dec 30 17:50:01 2025 matrix starts at (0, 0)
  140. Tue Dec 30 17:50:01 2025 matrix is 3590700 x 3590838 (1490.7 MB) with weight 426446560 (118.76/col)
  141. Tue Dec 30 17:50:01 2025 sparse part has weight 351274930 (97.83/col)
  142. Tue Dec 30 17:50:01 2025 saving the first 496 matrix rows for later
  143. Tue Dec 30 17:50:02 2025 matrix includes 512 packed rows
  144. Tue Dec 30 17:50:04 2025 matrix is 3590204 x 3590838 (1409.6 MB) with weight 300546170 (83.70/col)
  145. Tue Dec 30 17:50:04 2025 sparse part has weight 283341281 (78.91/col)
  146. Tue Dec 30 17:50:04 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  147. Tue Dec 30 17:50:04 2025 selected card has CUDA arch 8.6
  148. Tue Dec 30 17:50:28 2025 commencing Lanczos iteration
  149. Tue Dec 30 17:50:28 2025 memory use: 3969.9 MB
  150. Tue Dec 30 17:50:41 2025 linear algebra at 0.4%, ETA 0h46m
  151. Tue Dec 30 17:50:41 2025 checkpointing every 4760000 dimensions
  152. Tue Dec 30 18:37:37 2025 lanczos halted after 7024 iterations (dim = 3590200)
  153. Tue Dec 30 18:38:22 2025 recovered 32 nontrivial dependencies
  154. Tue Dec 30 18:38:22 2025 BLanczosTime: 3157
  155. Tue Dec 30 18:38:22 2025
  156. Tue Dec 30 18:38:22 2025 commencing square root phase
  157. Tue Dec 30 18:38:22 2025 handling dependencies 1 to 64
  158. Tue Dec 30 18:38:22 2025 reading relations for dependency 1
  159. Tue Dec 30 18:38:23 2025 read 1795647 cycles
  160. Tue Dec 30 18:38:26 2025 cycles contain 5916998 unique relations
  161. Tue Dec 30 18:38:55 2025 read 5916998 relations
  162. Tue Dec 30 18:39:13 2025 multiplying 5916998 relations
  163. Tue Dec 30 18:40:58 2025 multiply complete, coefficients have about 143.76 million bits
  164. Tue Dec 30 18:40:59 2025 initial square root is modulo 144349
  165. Tue Dec 30 18:43:11 2025 sqrtTime: 289
  166. Tue Dec 30 18:43:11 2025 p76 factor: 3692098560037422522510807926865788337134619101255308180211976374492956914421
  167. Tue Dec 30 18:43:11 2025 p134 factor: 91733759971389879052046654450910906596410533106744573132822966407205073120436651493309614552332545387586251098550941189269133292051651
  168. Tue Dec 30 18:43:11 2025 elapsed time 01:26:29
  169.  
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