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Sep 16th, 2025
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  1. Mon Sep 15 14:48:06 2025
  2. Mon Sep 15 14:48:06 2025
  3. Mon Sep 15 14:48:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 15 14:48:06 2025 random seeds: 77078d48 aafb6b1f
  5. Mon Sep 15 14:48:06 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
  6. Mon Sep 15 14:48:08 2025 searching for 15-digit factors
  7. Mon Sep 15 14:48:09 2025 commencing number field sieve (207-digit input)
  8. Mon Sep 15 14:48:09 2025 R0: 426011234640946920227288591869931519201
  9. Mon Sep 15 14:48:09 2025 R1: -1
  10. Mon Sep 15 14:48:09 2025 A0: -53196641
  11. Mon Sep 15 14:48:09 2025 A1: 0
  12. Mon Sep 15 14:48:09 2025 A2: 0
  13. Mon Sep 15 14:48:09 2025 A3: 0
  14. Mon Sep 15 14:48:09 2025 A4: 0
  15. Mon Sep 15 14:48:09 2025 A5: 0
  16. Mon Sep 15 14:48:09 2025 A6: 1
  17. Mon Sep 15 14:48:09 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
  18. Mon Sep 15 14:48:09 2025
  19. Mon Sep 15 14:48:09 2025 commencing relation filtering
  20. Mon Sep 15 14:48:09 2025 setting target matrix density to 100.0
  21. Mon Sep 15 14:48:09 2025 estimated available RAM is 15938.6 MB
  22. Mon Sep 15 14:48:09 2025 commencing duplicate removal, pass 1
  23. Mon Sep 15 15:14:26 2025 skipped 2 relations with composite factors
  24. Mon Sep 15 15:14:26 2025 found 7935729 hash collisions in 136060198 relations
  25. Mon Sep 15 15:14:58 2025 added 1218594 free relations
  26. Mon Sep 15 15:14:58 2025 commencing duplicate removal, pass 2
  27. Mon Sep 15 15:16:54 2025 found 0 duplicates and 137278792 unique relations
  28. Mon Sep 15 15:16:54 2025 memory use: 394.4 MB
  29. Mon Sep 15 15:16:54 2025 reading ideals above 115933184
  30. Mon Sep 15 15:16:54 2025 commencing singleton removal, initial pass
  31. Mon Sep 15 15:40:53 2025 memory use: 3012.0 MB
  32. Mon Sep 15 15:40:54 2025 reading all ideals from disk
  33. Mon Sep 15 15:41:01 2025 memory use: 2472.5 MB
  34. Mon Sep 15 15:41:24 2025 commencing in-memory singleton removal
  35. Mon Sep 15 15:41:49 2025 begin with 137278792 relations and 116699436 unique ideals
  36. Mon Sep 15 15:46:34 2025 reduce to 86017429 relations and 60156746 ideals in 16 passes
  37. Mon Sep 15 15:46:34 2025 max relations containing the same ideal: 36
  38. Mon Sep 15 15:46:53 2025 reading ideals above 720000
  39. Mon Sep 15 15:46:54 2025 commencing singleton removal, initial pass
  40. Mon Sep 15 16:09:45 2025 memory use: 1506.0 MB
  41. Mon Sep 15 16:09:45 2025 reading all ideals from disk
  42. Mon Sep 15 16:09:56 2025 memory use: 3353.8 MB
  43. Mon Sep 15 16:10:31 2025 keeping 72967943 ideals with weight <= 200, target excess is 436233
  44. Mon Sep 15 16:11:12 2025 commencing in-memory singleton removal
  45. Mon Sep 15 16:11:44 2025 begin with 86017429 relations and 72967943 unique ideals
  46. Mon Sep 15 16:14:54 2025 reduce to 86016779 relations and 72967293 ideals in 6 passes
  47. Mon Sep 15 16:14:54 2025 max relations containing the same ideal: 200
  48. Mon Sep 15 16:17:36 2025 removing 10113292 relations and 8113292 ideals in 2000000 cliques
  49. Mon Sep 15 16:17:42 2025 commencing in-memory singleton removal
  50. Mon Sep 15 16:18:11 2025 begin with 75903487 relations and 72967293 unique ideals
  51. Mon Sep 15 16:21:59 2025 reduce to 74958648 relations and 63881405 ideals in 8 passes
  52. Mon Sep 15 16:21:59 2025 max relations containing the same ideal: 191
  53. Mon Sep 15 16:24:19 2025 removing 7909505 relations and 5909505 ideals in 2000000 cliques
  54. Mon Sep 15 16:24:26 2025 commencing in-memory singleton removal
  55. Mon Sep 15 16:24:48 2025 begin with 67049143 relations and 63881405 unique ideals
  56. Mon Sep 15 16:28:34 2025 reduce to 66383397 relations and 57288416 ideals in 9 passes
  57. Mon Sep 15 16:28:34 2025 max relations containing the same ideal: 181
  58. Mon Sep 15 16:30:38 2025 removing 7278965 relations and 5278965 ideals in 2000000 cliques
  59. Mon Sep 15 16:30:44 2025 commencing in-memory singleton removal
  60. Mon Sep 15 16:31:04 2025 begin with 59104432 relations and 57288416 unique ideals
  61. Mon Sep 15 16:33:48 2025 reduce to 58490792 relations and 51378347 ideals in 8 passes
  62. Mon Sep 15 16:33:48 2025 max relations containing the same ideal: 165
  63. Mon Sep 15 16:35:32 2025 removing 6968879 relations and 4968879 ideals in 2000000 cliques
  64. Mon Sep 15 16:35:38 2025 commencing in-memory singleton removal
  65. Mon Sep 15 16:35:53 2025 begin with 51521913 relations and 51378347 unique ideals
  66. Mon Sep 15 16:38:11 2025 reduce to 50908932 relations and 45777282 ideals in 8 passes
  67. Mon Sep 15 16:38:11 2025 max relations containing the same ideal: 151
  68. Mon Sep 15 16:39:43 2025 removing 6784375 relations and 4784375 ideals in 2000000 cliques
  69. Mon Sep 15 16:39:47 2025 commencing in-memory singleton removal
  70. Mon Sep 15 16:40:00 2025 begin with 44124557 relations and 45777282 unique ideals
  71. Mon Sep 15 16:41:57 2025 reduce to 43478513 relations and 40324355 ideals in 8 passes
  72. Mon Sep 15 16:41:57 2025 max relations containing the same ideal: 134
  73. Mon Sep 15 16:43:15 2025 removing 6667502 relations and 4667502 ideals in 2000000 cliques
  74. Mon Sep 15 16:43:20 2025 commencing in-memory singleton removal
  75. Mon Sep 15 16:43:31 2025 begin with 36811011 relations and 40324355 unique ideals
  76. Mon Sep 15 16:45:07 2025 reduce to 36083907 relations and 34900521 ideals in 8 passes
  77. Mon Sep 15 16:45:07 2025 max relations containing the same ideal: 117
  78. Mon Sep 15 16:46:09 2025 removing 2806122 relations and 2128767 ideals in 677355 cliques
  79. Mon Sep 15 16:46:12 2025 commencing in-memory singleton removal
  80. Mon Sep 15 16:46:22 2025 begin with 33277785 relations and 34900521 unique ideals
  81. Mon Sep 15 16:47:36 2025 reduce to 33125092 relations and 32616491 ideals in 7 passes
  82. Mon Sep 15 16:47:36 2025 max relations containing the same ideal: 111
  83. Mon Sep 15 16:48:46 2025 relations with 0 large ideals: 15897
  84. Mon Sep 15 16:48:46 2025 relations with 1 large ideals: 5268
  85. Mon Sep 15 16:48:46 2025 relations with 2 large ideals: 52790
  86. Mon Sep 15 16:48:46 2025 relations with 3 large ideals: 420786
  87. Mon Sep 15 16:48:46 2025 relations with 4 large ideals: 1844871
  88. Mon Sep 15 16:48:46 2025 relations with 5 large ideals: 4862035
  89. Mon Sep 15 16:48:46 2025 relations with 6 large ideals: 8070528
  90. Mon Sep 15 16:48:46 2025 relations with 7+ large ideals: 17852917
  91. Mon Sep 15 16:48:46 2025 commencing 2-way merge
  92. Mon Sep 15 16:50:04 2025 reduce to 22170175 relation sets and 21661574 unique ideals
  93. Mon Sep 15 16:50:04 2025 commencing full merge
  94. Mon Sep 15 17:13:49 2025 memory use: 2820.6 MB
  95. Mon Sep 15 17:13:55 2025 found 10520727 cycles, need 10469774
  96. Mon Sep 15 17:14:03 2025 weight of 10469774 cycles is about 1047532008 (100.05/cycle)
  97. Mon Sep 15 17:14:03 2025 distribution of cycle lengths:
  98. Mon Sep 15 17:14:03 2025 1 relations: 590207
  99. Mon Sep 15 17:14:03 2025 2 relations: 793588
  100. Mon Sep 15 17:14:03 2025 3 relations: 907290
  101. Mon Sep 15 17:14:03 2025 4 relations: 915132
  102. Mon Sep 15 17:14:03 2025 5 relations: 908543
  103. Mon Sep 15 17:14:03 2025 6 relations: 873544
  104. Mon Sep 15 17:14:03 2025 7 relations: 824775
  105. Mon Sep 15 17:14:03 2025 8 relations: 760947
  106. Mon Sep 15 17:14:03 2025 9 relations: 686364
  107. Mon Sep 15 17:14:03 2025 10+ relations: 3209384
  108. Mon Sep 15 17:14:03 2025 heaviest cycle: 28 relations
  109. Mon Sep 15 17:14:12 2025 commencing cycle optimization
  110. Mon Sep 15 17:15:16 2025 start with 79590154 relations
  111. Mon Sep 15 17:22:35 2025 pruned 3249385 relations
  112. Mon Sep 15 17:22:37 2025 memory use: 2204.2 MB
  113. Mon Sep 15 17:22:37 2025 distribution of cycle lengths:
  114. Mon Sep 15 17:22:37 2025 1 relations: 590207
  115. Mon Sep 15 17:22:37 2025 2 relations: 813734
  116. Mon Sep 15 17:22:37 2025 3 relations: 946819
  117. Mon Sep 15 17:22:37 2025 4 relations: 951643
  118. Mon Sep 15 17:22:37 2025 5 relations: 951083
  119. Mon Sep 15 17:22:37 2025 6 relations: 910256
  120. Mon Sep 15 17:22:37 2025 7 relations: 859871
  121. Mon Sep 15 17:22:37 2025 8 relations: 786949
  122. Mon Sep 15 17:22:37 2025 9 relations: 704533
  123. Mon Sep 15 17:22:37 2025 10+ relations: 2954679
  124. Mon Sep 15 17:22:37 2025 heaviest cycle: 27 relations
  125. Mon Sep 15 17:23:28 2025 RelProcTime: 9319
  126. Mon Sep 15 17:23:28 2025
  127. Mon Sep 15 17:23:28 2025 commencing linear algebra
  128. Mon Sep 15 17:23:28 2025 using VBITS=512
  129. Mon Sep 15 17:23:31 2025 read 10469774 cycles
  130. Mon Sep 15 17:24:32 2025 cycles contain 32833332 unique relations
  131. Mon Sep 15 17:28:55 2025 read 32833332 relations
  132. Mon Sep 15 17:31:35 2025 using 20 quadratic characters above 4294917295
  133. Mon Sep 15 17:35:15 2025 building initial matrix
  134. Mon Sep 15 17:58:57 2025 memory use: 4281.3 MB
  135. Mon Sep 15 17:59:08 2025 read 10469774 cycles
  136. Mon Sep 15 17:59:11 2025 matrix is 10469597 x 10469774 (4207.7 MB) with weight 1222892225 (116.80/col)
  137. Mon Sep 15 17:59:11 2025 sparse part has weight 987862869 (94.35/col)
  138. Mon Sep 15 18:04:44 2025 filtering completed in 2 passes
  139. Mon Sep 15 18:04:49 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
  140. Mon Sep 15 18:04:49 2025 sparse part has weight 987858526 (94.36/col)
  141. Mon Sep 15 18:06:10 2025 matrix starts at (0, 0)
  142. Mon Sep 15 18:06:13 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
  143. Mon Sep 15 18:06:13 2025 sparse part has weight 987858526 (94.36/col)
  144. Mon Sep 15 18:06:13 2025 saving the first 496 matrix rows for later
  145. Mon Sep 15 18:06:20 2025 matrix includes 512 packed rows
  146. Mon Sep 15 18:06:38 2025 matrix is 10468706 x 10469369 (4060.0 MB) with weight 857211414 (81.88/col)
  147. Mon Sep 15 18:06:38 2025 sparse part has weight 813038841 (77.66/col)
  148. Mon Sep 15 20:00:04 2025
  149. Mon Sep 15 20:00:04 2025
  150. Mon Sep 15 20:00:04 2025 Msieve v. 1.54 (SVN unknown)
  151. Mon Sep 15 20:00:04 2025 random seeds: dc3f61af 121d19c4
  152. Mon Sep 15 20:00:04 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
  153. Mon Sep 15 20:00:05 2025 no P-1/P+1/ECM available, skipping
  154. Mon Sep 15 20:00:05 2025 commencing number field sieve (207-digit input)
  155. Mon Sep 15 20:00:05 2025 R0: 426011234640946920227288591869931519201
  156. Mon Sep 15 20:00:05 2025 R1: -1
  157. Mon Sep 15 20:00:05 2025 A0: -53196641
  158. Mon Sep 15 20:00:05 2025 A1: 0
  159. Mon Sep 15 20:00:05 2025 A2: 0
  160. Mon Sep 15 20:00:05 2025 A3: 0
  161. Mon Sep 15 20:00:05 2025 A4: 0
  162. Mon Sep 15 20:00:05 2025 A5: 0
  163. Mon Sep 15 20:00:05 2025 A6: 1
  164. Mon Sep 15 20:00:05 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
  165. Mon Sep 15 20:00:05 2025
  166. Mon Sep 15 20:00:05 2025 commencing linear algebra
  167. Mon Sep 15 20:00:05 2025 using VBITS=256
  168. Mon Sep 15 20:00:05 2025 skipping matrix build
  169. Mon Sep 15 20:00:07 2025 matrix starts at (0, 0)
  170. Mon Sep 15 20:00:08 2025 matrix is 10469202 x 10469369 (4207.7 MB) with weight 1222878602 (116.81/col)
  171. Mon Sep 15 20:00:08 2025 sparse part has weight 987858526 (94.36/col)
  172. Mon Sep 15 20:00:08 2025 saving the first 240 matrix rows for later
  173. Mon Sep 15 20:00:10 2025 matrix includes 256 packed rows
  174. Mon Sep 15 20:00:14 2025 matrix is 10468962 x 10469369 (3909.0 MB) with weight 901449590 (86.10/col)
  175. Mon Sep 15 20:00:14 2025 sparse part has weight 857211414 (81.88/col)
  176. Mon Sep 15 20:00:14 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  177. Mon Sep 15 20:00:14 2025 selected card has CUDA arch 8.6
  178. Mon Sep 15 20:01:12 2025 commencing Lanczos iteration
  179. Mon Sep 15 20:01:12 2025 memory use: 9415.5 MB
  180. Mon Sep 15 20:02:32 2025 linear algebra at 0.3%, ETA 7h28m
  181. Mon Sep 15 20:04:36 2025 checking every 20000 dimensions, checkpointing every 1380000 dimensions
  182. Tue Sep 16 03:52:29 2025 lanczos halted after 41018 iterations (dim = 10468957)
  183. Tue Sep 16 03:53:06 2025 recovered 32 nontrivial dependencies
  184. Tue Sep 16 03:53:07 2025 BLanczosTime: 28382
  185. Tue Sep 16 03:53:07 2025 elapsed time 07:53:03
  186. Tue Sep 16 07:35:19 2025
  187. Tue Sep 16 07:35:19 2025
  188. Tue Sep 16 07:35:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
  189. Tue Sep 16 07:35:19 2025 random seeds: 76241ac7 86ce5b6a
  190. Tue Sep 16 07:35:19 2025 factoring 191908909082030965667770961180983273821360447441474229750150400688667808093531709231774915685830777134770566911420101930351009896327896927786843253078264934656686129633805076658315817493239308033093476768157 (207 digits)
  191. Tue Sep 16 07:35:20 2025 searching for 15-digit factors
  192. Tue Sep 16 07:35:21 2025 commencing number field sieve (207-digit input)
  193. Tue Sep 16 07:35:21 2025 R0: 426011234640946920227288591869931519201
  194. Tue Sep 16 07:35:21 2025 R1: -1
  195. Tue Sep 16 07:35:21 2025 A0: -53196641
  196. Tue Sep 16 07:35:21 2025 A1: 0
  197. Tue Sep 16 07:35:21 2025 A2: 0
  198. Tue Sep 16 07:35:21 2025 A3: 0
  199. Tue Sep 16 07:35:21 2025 A4: 0
  200. Tue Sep 16 07:35:21 2025 A5: 0
  201. Tue Sep 16 07:35:21 2025 A6: 1
  202. Tue Sep 16 07:35:21 2025 skew 24.68, size 4.558e-12, alpha 0.220, combined = 3.752e-13 rroots = 2
  203. Tue Sep 16 07:35:21 2025
  204. Tue Sep 16 07:35:21 2025 commencing square root phase
  205. Tue Sep 16 07:35:21 2025 reading relations for dependency 1
  206. Tue Sep 16 07:35:23 2025 read 5233593 cycles
  207. Tue Sep 16 07:35:50 2025 cycles contain 16413342 unique relations
  208. Tue Sep 16 07:38:08 2025 read 16413342 relations
  209. Tue Sep 16 07:41:43 2025 multiplying 16413342 relations
  210. Tue Sep 16 08:05:32 2025 multiply complete, coefficients have about 442.15 million bits
  211. Tue Sep 16 08:05:35 2025 initial square root is modulo 85811521
  212. Tue Sep 16 08:33:32 2025 sqrtTime: 3491
  213. Tue Sep 16 08:33:32 2025 p67 factor: 6086841780673683072820036663212256818765972366333659447947166347703
  214. Tue Sep 16 08:33:32 2025 p140 factor: 31528486528327463439012240219689032042453990036176239300117774112534353919923412195871124525123407843558799458578720269881502738507007180619
  215. Tue Sep 16 08:33:32 2025 elapsed time 00:58:13
  216.  
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