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Jan 15th, 2026
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  1. Thu Jan 15 12:50:16 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Thu Jan 15 12:50:16 2026 random seeds: 5cb331fd 9706a6a4
  3. Thu Jan 15 12:50:16 2026 Using 32 OpenMP threads
  4. Thu Jan 15 12:50:16 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits)
  5. Thu Jan 15 12:50:16 2026 no P-1/P+1/ECM available, skipping
  6. Thu Jan 15 12:50:16 2026 commencing number field sieve (195-digit input)
  7. Thu Jan 15 12:50:16 2026 R0: 1
  8. Thu Jan 15 12:50:16 2026 R1: -297705283981146579603954922325839
  9. Thu Jan 15 12:50:16 2026 A0: -66772173679
  10. Thu Jan 15 12:50:16 2026 A1: 0
  11. Thu Jan 15 12:50:16 2026 A2: 0
  12. Thu Jan 15 12:50:16 2026 A3: 0
  13. Thu Jan 15 12:50:16 2026 A4: 0
  14. Thu Jan 15 12:50:16 2026 A5: 0
  15. Thu Jan 15 12:50:16 2026 A6: 1
  16. Thu Jan 15 12:50:16 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2
  17. Thu Jan 15 12:50:16 2026
  18. Thu Jan 15 12:50:16 2026 commencing relation filtering
  19. Thu Jan 15 12:50:16 2026 setting target matrix density to 100.0
  20. Thu Jan 15 12:50:16 2026 estimated available RAM is 128740.1 MB
  21. Thu Jan 15 12:50:16 2026 commencing duplicate removal, pass 1
  22. Thu Jan 15 12:50:39 2026 error -6 reading relation 45896774
  23. Thu Jan 15 12:50:47 2026 found 3078960 hash collisions in 59655999 relations
  24. Thu Jan 15 12:50:53 2026 added 1219325 free relations
  25. Thu Jan 15 12:50:53 2026 commencing duplicate removal, pass 2
  26. Thu Jan 15 12:51:01 2026 found 0 duplicates and 60875324 unique relations
  27. Thu Jan 15 12:51:01 2026 memory use: 197.2 MB
  28. Thu Jan 15 12:51:01 2026 reading ideals above 720000
  29. Thu Jan 15 12:51:01 2026 commencing singleton removal, initial pass
  30. Thu Jan 15 12:52:24 2026 memory use: 1506.0 MB
  31. Thu Jan 15 12:52:24 2026 reading all ideals from disk
  32. Thu Jan 15 12:52:24 2026 memory use: 2677.1 MB
  33. Thu Jan 15 12:52:27 2026 keeping 58013094 ideals with weight <= 200, target excess is 315604
  34. Thu Jan 15 12:52:29 2026 commencing in-memory singleton removal
  35. Thu Jan 15 12:52:30 2026 begin with 60875324 relations and 58013094 unique ideals
  36. Thu Jan 15 12:52:35 2026 reduce to 39148512 relations and 34721802 ideals in 18 passes
  37. Thu Jan 15 12:52:35 2026 max relations containing the same ideal: 156
  38. Thu Jan 15 12:52:42 2026 removing 6091939 relations and 5091939 ideals in 1000000 cliques
  39. Thu Jan 15 12:52:43 2026 commencing in-memory singleton removal
  40. Thu Jan 15 12:52:43 2026 begin with 33056573 relations and 34721802 unique ideals
  41. Thu Jan 15 12:52:45 2026 reduce to 32221305 relations and 28766665 ideals in 11 passes
  42. Thu Jan 15 12:52:45 2026 max relations containing the same ideal: 135
  43. Thu Jan 15 12:52:51 2026 removing 4745999 relations and 3745999 ideals in 1000000 cliques
  44. Thu Jan 15 12:52:52 2026 commencing in-memory singleton removal
  45. Thu Jan 15 12:52:53 2026 begin with 27475306 relations and 28766665 unique ideals
  46. Thu Jan 15 12:52:54 2026 reduce to 26902266 relations and 24429122 ideals in 9 passes
  47. Thu Jan 15 12:52:54 2026 max relations containing the same ideal: 123
  48. Thu Jan 15 12:52:59 2026 removing 4312851 relations and 3312851 ideals in 1000000 cliques
  49. Thu Jan 15 12:53:00 2026 commencing in-memory singleton removal
  50. Thu Jan 15 12:53:00 2026 begin with 22589415 relations and 24429122 unique ideals
  51. Thu Jan 15 12:53:01 2026 reduce to 22024898 relations and 20531771 ideals in 10 passes
  52. Thu Jan 15 12:53:01 2026 max relations containing the same ideal: 106
  53. Thu Jan 15 12:53:06 2026 removing 4121748 relations and 3121748 ideals in 1000000 cliques
  54. Thu Jan 15 12:53:06 2026 commencing in-memory singleton removal
  55. Thu Jan 15 12:53:07 2026 begin with 17903150 relations and 20531771 unique ideals
  56. Thu Jan 15 12:53:07 2026 reduce to 17275104 relations and 16755104 ideals in 11 passes
  57. Thu Jan 15 12:53:07 2026 max relations containing the same ideal: 94
  58. Thu Jan 15 12:53:11 2026 removing 966285 relations and 812386 ideals in 153899 cliques
  59. Thu Jan 15 12:53:11 2026 commencing in-memory singleton removal
  60. Thu Jan 15 12:53:11 2026 begin with 16308819 relations and 16755104 unique ideals
  61. Thu Jan 15 12:53:12 2026 reduce to 16270858 relations and 15904393 ideals in 8 passes
  62. Thu Jan 15 12:53:12 2026 max relations containing the same ideal: 89
  63. Thu Jan 15 12:53:17 2026 relations with 0 large ideals: 12127
  64. Thu Jan 15 12:53:17 2026 relations with 1 large ideals: 3520
  65. Thu Jan 15 12:53:17 2026 relations with 2 large ideals: 51364
  66. Thu Jan 15 12:53:17 2026 relations with 3 large ideals: 366067
  67. Thu Jan 15 12:53:17 2026 relations with 4 large ideals: 1407496
  68. Thu Jan 15 12:53:17 2026 relations with 5 large ideals: 3188634
  69. Thu Jan 15 12:53:17 2026 relations with 6 large ideals: 4418718
  70. Thu Jan 15 12:53:17 2026 relations with 7+ large ideals: 6822932
  71. Thu Jan 15 12:53:17 2026 commencing 2-way merge
  72. Thu Jan 15 12:53:22 2026 reduce to 9815349 relation sets and 9448884 unique ideals
  73. Thu Jan 15 12:53:22 2026 commencing full merge
  74. Thu Jan 15 12:55:16 2026 memory use: 1273.0 MB
  75. Thu Jan 15 12:55:17 2026 found 4596246 cycles, need 4567084
  76. Thu Jan 15 12:55:17 2026 weight of 4567084 cycles is about 457079072 (100.08/cycle)
  77. Thu Jan 15 12:55:17 2026 distribution of cycle lengths:
  78. Thu Jan 15 12:55:17 2026 1 relations: 389685
  79. Thu Jan 15 12:55:17 2026 2 relations: 384217
  80. Thu Jan 15 12:55:17 2026 3 relations: 379306
  81. Thu Jan 15 12:55:17 2026 4 relations: 359586
  82. Thu Jan 15 12:55:17 2026 5 relations: 346442
  83. Thu Jan 15 12:55:17 2026 6 relations: 330300
  84. Thu Jan 15 12:55:17 2026 7 relations: 309794
  85. Thu Jan 15 12:55:17 2026 8 relations: 288918
  86. Thu Jan 15 12:55:17 2026 9 relations: 264252
  87. Thu Jan 15 12:55:17 2026 10+ relations: 1514584
  88. Thu Jan 15 12:55:17 2026 heaviest cycle: 28 relations
  89. Thu Jan 15 12:55:18 2026 commencing cycle optimization
  90. Thu Jan 15 12:55:23 2026 start with 35670026 relations
  91. Thu Jan 15 12:55:59 2026 pruned 1197370 relations
  92. Thu Jan 15 12:55:59 2026 memory use: 1031.4 MB
  93. Thu Jan 15 12:55:59 2026 distribution of cycle lengths:
  94. Thu Jan 15 12:55:59 2026 1 relations: 389685
  95. Thu Jan 15 12:55:59 2026 2 relations: 392035
  96. Thu Jan 15 12:55:59 2026 3 relations: 392427
  97. Thu Jan 15 12:55:59 2026 4 relations: 370630
  98. Thu Jan 15 12:55:59 2026 5 relations: 358930
  99. Thu Jan 15 12:55:59 2026 6 relations: 340700
  100. Thu Jan 15 12:55:59 2026 7 relations: 320406
  101. Thu Jan 15 12:55:59 2026 8 relations: 296999
  102. Thu Jan 15 12:55:59 2026 9 relations: 270494
  103. Thu Jan 15 12:55:59 2026 10+ relations: 1434778
  104. Thu Jan 15 12:55:59 2026 heaviest cycle: 28 relations
  105. Thu Jan 15 12:56:03 2026 RelProcTime: 347
  106. Thu Jan 15 12:56:03 2026 elapsed time 00:05:47
  107. Thu Jan 15 12:56:10 2026
  108. Thu Jan 15 12:56:10 2026
  109. Thu Jan 15 12:56:10 2026 Msieve v. 1.54 (SVN 573b9ef)
  110. Thu Jan 15 12:56:10 2026 random seeds: c47d9c95 cb0d7904
  111. Thu Jan 15 12:56:10 2026 MPI process 0 of 2
  112. Thu Jan 15 12:56:10 2026 Using 8 OpenMP threads
  113. Thu Jan 15 12:56:10 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits)
  114. Thu Jan 15 12:56:10 2026 no P-1/P+1/ECM available, skipping
  115. Thu Jan 15 12:56:10 2026 commencing number field sieve (195-digit input)
  116. Thu Jan 15 12:56:10 2026 R0: 1
  117. Thu Jan 15 12:56:10 2026 R1: -297705283981146579603954922325839
  118. Thu Jan 15 12:56:10 2026 A0: -66772173679
  119. Thu Jan 15 12:56:10 2026 A1: 0
  120. Thu Jan 15 12:56:10 2026 A2: 0
  121. Thu Jan 15 12:56:10 2026 A3: 0
  122. Thu Jan 15 12:56:10 2026 A4: 0
  123. Thu Jan 15 12:56:10 2026 A5: 0
  124. Thu Jan 15 12:56:10 2026 A6: 1
  125. Thu Jan 15 12:56:10 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2
  126. Thu Jan 15 12:56:10 2026
  127. Thu Jan 15 12:56:10 2026 commencing linear algebra
  128. Thu Jan 15 12:56:10 2026 using VBITS=256
  129. Thu Jan 15 12:56:10 2026 initialized process (0,0) of 1 x 2 grid
  130. Thu Jan 15 12:56:10 2026 read 4567084 cycles
  131. Thu Jan 15 12:56:15 2026 cycles contain 16008125 unique relations
  132. Thu Jan 15 12:56:23 2026 read 16008125 relations
  133. Thu Jan 15 12:56:25 2026 using 20 quadratic characters above 4294917295
  134. Thu Jan 15 12:56:30 2026 building initial matrix
  135. Thu Jan 15 12:57:58 2026 memory use: 2056.9 MB
  136. Thu Jan 15 12:58:00 2026 read 4567084 cycles
  137. Thu Jan 15 12:58:01 2026 matrix is 4566907 x 4567084 (1840.4 MB) with weight 548885819 (120.18/col)
  138. Thu Jan 15 12:58:01 2026 sparse part has weight 432201703 (94.63/col)
  139. Thu Jan 15 12:58:21 2026 filtering completed in 2 passes
  140. Thu Jan 15 12:58:22 2026 matrix is 4566360 x 4566529 (1840.3 MB) with weight 548864116 (120.19/col)
  141. Thu Jan 15 12:58:22 2026 sparse part has weight 432194495 (94.64/col)
  142. Thu Jan 15 12:58:27 2026 matrix starts at (0, 0)
  143. Thu Jan 15 12:58:28 2026 matrix is 4566360 x 2283247 (920.2 MB) with weight 274429740 (120.19/col)
  144. Thu Jan 15 12:58:28 2026 sparse part has weight 216097425 (94.64/col)
  145. Thu Jan 15 12:58:28 2026 saving the first 240 matrix rows for later
  146. Thu Jan 15 12:58:28 2026 matrix includes 256 packed rows
  147. Thu Jan 15 12:58:29 2026 matrix is 4566120 x 2283247 (841.0 MB) with weight 195452342 (85.60/col)
  148. Thu Jan 15 12:58:29 2026 sparse part has weight 183924621 (80.55/col)
  149. Thu Jan 15 12:58:29 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  150. Thu Jan 15 12:58:29 2026 selected card has CUDA arch 8.6
  151. Thu Jan 15 12:58:35 2026 commencing Lanczos iteration
  152. Thu Jan 15 12:58:36 2026 memory use: 2195.8 MB
  153. Thu Jan 15 12:58:50 2026 linear algebra at 0.7%, ETA 0h34m
  154. Thu Jan 15 12:59:10 2026 checking every 130000 dimensions, checkpointing every 8190000 dimensions
  155. Thu Jan 15 13:33:07 2026 lanczos halted after 17891 iterations (dim = 4566118)
  156. Thu Jan 15 13:34:07 2026 recovered 35 nontrivial dependencies
  157. Thu Jan 15 13:34:08 2026 BLanczosTime: 2278
  158. Thu Jan 15 13:34:08 2026 elapsed time 00:37:58
  159. Thu Jan 15 13:37:33 2026
  160. Thu Jan 15 13:37:33 2026
  161. Thu Jan 15 13:37:33 2026 Msieve v. 1.54 (SVN 573b9ef)
  162. Thu Jan 15 13:37:33 2026 random seeds: 58280119 442b6626
  163. Thu Jan 15 13:37:33 2026 Using 32 OpenMP threads
  164. Thu Jan 15 13:37:33 2026 factoring 696176337947704622087125009524631157029640175821831666946095440540571876369782214684204182544084581848883531807631886075883221487456479559856931507559433647019028589304445944715520849262987723281 (195 digits)
  165. Thu Jan 15 13:37:34 2026 no P-1/P+1/ECM available, skipping
  166. Thu Jan 15 13:37:34 2026 commencing number field sieve (195-digit input)
  167. Thu Jan 15 13:37:34 2026 R0: 1
  168. Thu Jan 15 13:37:34 2026 R1: -297705283981146579603954922325839
  169. Thu Jan 15 13:37:34 2026 A0: -66772173679
  170. Thu Jan 15 13:37:34 2026 A1: 0
  171. Thu Jan 15 13:37:34 2026 A2: 0
  172. Thu Jan 15 13:37:34 2026 A3: 0
  173. Thu Jan 15 13:37:34 2026 A4: 0
  174. Thu Jan 15 13:37:34 2026 A5: 0
  175. Thu Jan 15 13:37:34 2026 A6: 1
  176. Thu Jan 15 13:37:34 2026 skew 50.72, size 4.697e-11, alpha -0.897, combined = 1.939e-12 rroots = 2
  177. Thu Jan 15 13:37:34 2026
  178. Thu Jan 15 13:37:34 2026 commencing square root phase
  179. Thu Jan 15 13:37:34 2026 reading relations for dependency 1
  180. Thu Jan 15 13:37:34 2026 read 2282304 cycles
  181. Thu Jan 15 13:37:41 2026 cycles contain 8005450 unique relations
  182. Thu Jan 15 13:37:58 2026 read 8005450 relations
  183. Thu Jan 15 13:39:23 2026 multiplying 8005450 relations
  184. Thu Jan 15 13:40:13 2026 multiply complete, coefficients have about 215.63 million bits
  185. Thu Jan 15 13:40:14 2026 initial square root is modulo 54745297
  186. Thu Jan 15 13:42:41 2026 found factor: 259080915307717399999590522976617683052417907941523409933
  187. Thu Jan 15 13:42:41 2026 reading relations for dependency 2
  188. Thu Jan 15 13:42:42 2026 read 2282932 cycles
  189. Thu Jan 15 13:42:57 2026 cycles contain 8003108 unique relations
  190. Thu Jan 15 13:43:07 2026 read 8003108 relations
  191. Thu Jan 15 13:44:32 2026 multiplying 8003108 relations
  192. Thu Jan 15 13:45:22 2026 multiply complete, coefficients have about 215.56 million bits
  193. Thu Jan 15 13:45:23 2026 initial square root is modulo 54444547
  194. Thu Jan 15 13:47:54 2026 sqrtTime: 620
  195. Thu Jan 15 13:47:54 2026 p51 factor: 994363996792331231607512036165220796292501262425981
  196. Thu Jan 15 13:47:54 2026 p57 factor: 259080915307717399999590522976617683052417907941523409933
  197. Thu Jan 15 13:47:54 2026 p88 factor: 2702330382942279370919601312100724700846849271103033787023605206357378470108668709880697
  198. Thu Jan 15 13:47:54 2026 elapsed time 00:10:21
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