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kyleaskine
Feb 3rd, 2026
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  1. Tue Feb 3 19:40:29 2026
  2. Tue Feb 3 19:40:29 2026
  3. Tue Feb 3 19:40:29 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Feb 3 19:40:29 2026 random seeds: 8ce61bac c5ab746a
  5. Tue Feb 3 19:40:29 2026 Using 8 OpenMP threads
  6. Tue Feb 3 19:40:29 2026 factoring 1115119258190680491344069216767168231484107371573198239937283240373935843963627090456169316558959273675527762118773785094789489775317492276219518313922802503484481 (163 digits)
  7. Tue Feb 3 19:40:30 2026 searching for 15-digit factors
  8. Tue Feb 3 19:40:30 2026 commencing number field sieve (163-digit input)
  9. Tue Feb 3 19:40:30 2026 R0: -24747756749975908126570732424192
  10. Tue Feb 3 19:40:30 2026 R1: 128762628731340572987
  11. Tue Feb 3 19:40:30 2026 A0: 130534345966620713595806829827997140166
  12. Tue Feb 3 19:40:30 2026 A1: 212499035805030112584799713719784
  13. Tue Feb 3 19:40:30 2026 A2: -80369947998638295074881451
  14. Tue Feb 3 19:40:30 2026 A3: -24652170854784536131
  15. Tue Feb 3 19:40:30 2026 A4: 2849496119218
  16. Tue Feb 3 19:40:30 2026 A5: 240240
  17. Tue Feb 3 19:40:30 2026 skew 1.00, size 1.278e-15, alpha -7.530, combined = 9.184e-15 rroots = 5
  18. Tue Feb 3 19:40:30 2026
  19. Tue Feb 3 19:40:30 2026 commencing relation filtering
  20. Tue Feb 3 19:40:30 2026 estimated available RAM is 78540.1 MB
  21. Tue Feb 3 19:40:30 2026 commencing duplicate removal, pass 1
  22. Tue Feb 3 19:41:45 2026 error -1 reading relation 34876171
  23. Tue Feb 3 19:41:46 2026 error -15 reading relation 35212188
  24. Tue Feb 3 19:41:46 2026 error -15 reading relation 35335477
  25. Tue Feb 3 19:41:54 2026 error -1 reading relation 39126003
  26. Tue Feb 3 19:41:54 2026 error -1 reading relation 39133216
  27. Tue Feb 3 19:41:55 2026 error -1 reading relation 39213543
  28. Tue Feb 3 19:41:57 2026 error -1 reading relation 40194103
  29. Tue Feb 3 19:43:46 2026 error -1 reading relation 95220869
  30. Tue Feb 3 19:43:58 2026 error -1 reading relation 101115328
  31. Tue Feb 3 19:43:59 2026 error -1 reading relation 101545046
  32. Tue Feb 3 19:44:55 2026 error -1 reading relation 126847529
  33. Tue Feb 3 19:44:58 2026 error -1 reading relation 128156404
  34. Tue Feb 3 19:44:58 2026 error -1 reading relation 128266987
  35. Tue Feb 3 19:45:05 2026 skipped 54 malformed relations
  36. Tue Feb 3 19:45:05 2026 found 18426999 hash collisions in 131965751 relations
  37. Tue Feb 3 19:45:23 2026 added 121879 free relations
  38. Tue Feb 3 19:45:23 2026 commencing duplicate removal, pass 2
  39. Tue Feb 3 19:46:17 2026 found 17172301 duplicates and 114915329 unique relations
  40. Tue Feb 3 19:46:17 2026 memory use: 788.8 MB
  41. Tue Feb 3 19:46:17 2026 reading ideals above 720000
  42. Tue Feb 3 19:46:17 2026 commencing singleton removal, initial pass
  43. Tue Feb 3 19:54:34 2026 memory use: 3012.0 MB
  44. Tue Feb 3 19:54:34 2026 reading all ideals from disk
  45. Tue Feb 3 19:54:37 2026 memory use: 5134.7 MB
  46. Tue Feb 3 19:54:45 2026 keeping 113373525 ideals with weight <= 200, target excess is 605625
  47. Tue Feb 3 19:54:57 2026 commencing in-memory singleton removal
  48. Tue Feb 3 19:54:59 2026 begin with 114915329 relations and 113373525 unique ideals
  49. Tue Feb 3 19:55:18 2026 reduce to 57690128 relations and 48609891 ideals in 16 passes
  50. Tue Feb 3 19:55:18 2026 max relations containing the same ideal: 132
  51. Tue Feb 3 19:55:45 2026 removing 6364718 relations and 5364718 ideals in 1000000 cliques
  52. Tue Feb 3 19:55:46 2026 commencing in-memory singleton removal
  53. Tue Feb 3 19:55:47 2026 begin with 51325410 relations and 48609891 unique ideals
  54. Tue Feb 3 19:55:55 2026 reduce to 50817974 relations and 42726640 ideals in 9 passes
  55. Tue Feb 3 19:55:55 2026 max relations containing the same ideal: 120
  56. Tue Feb 3 19:56:17 2026 removing 4798405 relations and 3798405 ideals in 1000000 cliques
  57. Tue Feb 3 19:56:19 2026 commencing in-memory singleton removal
  58. Tue Feb 3 19:56:20 2026 begin with 46019569 relations and 42726640 unique ideals
  59. Tue Feb 3 19:56:26 2026 reduce to 45679348 relations and 38581424 ideals in 8 passes
  60. Tue Feb 3 19:56:26 2026 max relations containing the same ideal: 115
  61. Tue Feb 3 19:56:45 2026 removing 4320545 relations and 3320545 ideals in 1000000 cliques
  62. Tue Feb 3 19:56:47 2026 commencing in-memory singleton removal
  63. Tue Feb 3 19:56:47 2026 begin with 41358803 relations and 38581424 unique ideals
  64. Tue Feb 3 19:56:52 2026 reduce to 41053794 relations and 34949718 ideals in 8 passes
  65. Tue Feb 3 19:56:52 2026 max relations containing the same ideal: 108
  66. Tue Feb 3 19:57:10 2026 removing 4076833 relations and 3076833 ideals in 1000000 cliques
  67. Tue Feb 3 19:57:12 2026 commencing in-memory singleton removal
  68. Tue Feb 3 19:57:12 2026 begin with 36976961 relations and 34949718 unique ideals
  69. Tue Feb 3 19:57:17 2026 reduce to 36678823 relations and 31568250 ideals in 8 passes
  70. Tue Feb 3 19:57:17 2026 max relations containing the same ideal: 98
  71. Tue Feb 3 19:57:33 2026 removing 3928001 relations and 2928001 ideals in 1000000 cliques
  72. Tue Feb 3 19:57:35 2026 commencing in-memory singleton removal
  73. Tue Feb 3 19:57:35 2026 begin with 32750822 relations and 31568250 unique ideals
  74. Tue Feb 3 19:57:40 2026 reduce to 32447771 relations and 28329974 ideals in 9 passes
  75. Tue Feb 3 19:57:40 2026 max relations containing the same ideal: 90
  76. Tue Feb 3 19:57:54 2026 removing 3829417 relations and 2829417 ideals in 1000000 cliques
  77. Tue Feb 3 19:57:55 2026 commencing in-memory singleton removal
  78. Tue Feb 3 19:57:56 2026 begin with 28618354 relations and 28329974 unique ideals
  79. Tue Feb 3 19:58:00 2026 reduce to 28301282 relations and 25175029 ideals in 9 passes
  80. Tue Feb 3 19:58:00 2026 max relations containing the same ideal: 85
  81. Tue Feb 3 19:58:13 2026 removing 3764446 relations and 2764446 ideals in 1000000 cliques
  82. Tue Feb 3 19:58:14 2026 commencing in-memory singleton removal
  83. Tue Feb 3 19:58:15 2026 begin with 24536836 relations and 25175029 unique ideals
  84. Tue Feb 3 19:58:18 2026 reduce to 24194398 relations and 22058008 ideals in 8 passes
  85. Tue Feb 3 19:58:18 2026 max relations containing the same ideal: 78
  86. Tue Feb 3 19:58:28 2026 removing 3714444 relations and 2714444 ideals in 1000000 cliques
  87. Tue Feb 3 19:58:29 2026 commencing in-memory singleton removal
  88. Tue Feb 3 19:58:29 2026 begin with 20479954 relations and 22058008 unique ideals
  89. Tue Feb 3 19:58:31 2026 reduce to 20095484 relations and 18945737 ideals in 8 passes
  90. Tue Feb 3 19:58:31 2026 max relations containing the same ideal: 66
  91. Tue Feb 3 19:58:40 2026 removing 1953365 relations and 1506144 ideals in 447221 cliques
  92. Tue Feb 3 19:58:41 2026 commencing in-memory singleton removal
  93. Tue Feb 3 19:58:41 2026 begin with 18142119 relations and 18945737 unique ideals
  94. Tue Feb 3 19:58:43 2026 reduce to 18026267 relations and 17321591 ideals in 8 passes
  95. Tue Feb 3 19:58:43 2026 max relations containing the same ideal: 62
  96. Tue Feb 3 19:58:52 2026 relations with 0 large ideals: 2025
  97. Tue Feb 3 19:58:52 2026 relations with 1 large ideals: 14774
  98. Tue Feb 3 19:58:52 2026 relations with 2 large ideals: 192070
  99. Tue Feb 3 19:58:52 2026 relations with 3 large ideals: 1042419
  100. Tue Feb 3 19:58:52 2026 relations with 4 large ideals: 2954464
  101. Tue Feb 3 19:58:52 2026 relations with 5 large ideals: 4817849
  102. Tue Feb 3 19:58:52 2026 relations with 6 large ideals: 4780908
  103. Tue Feb 3 19:58:52 2026 relations with 7+ large ideals: 4221758
  104. Tue Feb 3 19:58:52 2026 commencing 2-way merge
  105. Tue Feb 3 19:59:03 2026 reduce to 11150927 relation sets and 10446251 unique ideals
  106. Tue Feb 3 19:59:03 2026 commencing full merge
  107. Tue Feb 3 20:02:35 2026 memory use: 1308.3 MB
  108. Tue Feb 3 20:02:36 2026 found 5630744 cycles, need 5534451
  109. Tue Feb 3 20:02:38 2026 weight of 5534451 cycles is about 498224319 (90.02/cycle)
  110. Tue Feb 3 20:02:38 2026 distribution of cycle lengths:
  111. Tue Feb 3 20:02:38 2026 1 relations: 392397
  112. Tue Feb 3 20:02:38 2026 2 relations: 505154
  113. Tue Feb 3 20:02:38 2026 3 relations: 549340
  114. Tue Feb 3 20:02:38 2026 4 relations: 539367
  115. Tue Feb 3 20:02:38 2026 5 relations: 533648
  116. Tue Feb 3 20:02:38 2026 6 relations: 503141
  117. Tue Feb 3 20:02:38 2026 7 relations: 467439
  118. Tue Feb 3 20:02:38 2026 8 relations: 419235
  119. Tue Feb 3 20:02:38 2026 9 relations: 366615
  120. Tue Feb 3 20:02:38 2026 10+ relations: 1258115
  121. Tue Feb 3 20:02:38 2026 heaviest cycle: 20 relations
  122. Tue Feb 3 20:02:40 2026 commencing cycle optimization
  123. Tue Feb 3 20:02:50 2026 start with 36325440 relations
  124. Tue Feb 3 20:03:52 2026 pruned 1160343 relations
  125. Tue Feb 3 20:03:53 2026 memory use: 1114.3 MB
  126. Tue Feb 3 20:03:53 2026 distribution of cycle lengths:
  127. Tue Feb 3 20:03:53 2026 1 relations: 392397
  128. Tue Feb 3 20:03:53 2026 2 relations: 517371
  129. Tue Feb 3 20:03:53 2026 3 relations: 571525
  130. Tue Feb 3 20:03:53 2026 4 relations: 557681
  131. Tue Feb 3 20:03:53 2026 5 relations: 554178
  132. Tue Feb 3 20:03:53 2026 6 relations: 519760
  133. Tue Feb 3 20:03:53 2026 7 relations: 482477
  134. Tue Feb 3 20:03:53 2026 8 relations: 428891
  135. Tue Feb 3 20:03:53 2026 9 relations: 371148
  136. Tue Feb 3 20:03:53 2026 10+ relations: 1139023
  137. Tue Feb 3 20:03:53 2026 heaviest cycle: 20 relations
  138. Tue Feb 3 20:04:02 2026 RelProcTime: 1412
  139. Tue Feb 3 20:04:02 2026
  140. Tue Feb 3 20:04:02 2026 commencing linear algebra
  141. Tue Feb 3 20:04:02 2026 using VBITS=256
  142. Tue Feb 3 20:04:02 2026 read 5534451 cycles
  143. Tue Feb 3 20:04:10 2026 cycles contain 17601965 unique relations
  144. Tue Feb 3 20:04:36 2026 read 17601965 relations
  145. Tue Feb 3 20:04:42 2026 using 20 quadratic characters above 4294917295
  146. Tue Feb 3 20:04:53 2026 building initial matrix
  147. Tue Feb 3 20:08:16 2026 memory use: 2481.8 MB
  148. Tue Feb 3 20:08:18 2026 read 5534451 cycles
  149. Tue Feb 3 20:08:18 2026 matrix is 5534271 x 5534451 (2063.5 MB) with weight 643394871 (116.25/col)
  150. Tue Feb 3 20:08:18 2026 sparse part has weight 474518793 (85.74/col)
  151. Tue Feb 3 20:08:58 2026 filtering completed in 2 passes
  152. Tue Feb 3 20:09:00 2026 matrix is 5533351 x 5533530 (2063.4 MB) with weight 643353069 (116.26/col)
  153. Tue Feb 3 20:09:00 2026 sparse part has weight 474505321 (85.75/col)
  154. Tue Feb 3 20:09:11 2026 matrix starts at (0, 0)
  155. Tue Feb 3 20:09:11 2026 matrix is 5533351 x 5533530 (2063.4 MB) with weight 643353069 (116.26/col)
  156. Tue Feb 3 20:09:11 2026 sparse part has weight 474505321 (85.75/col)
  157. Tue Feb 3 20:09:11 2026 saving the first 240 matrix rows for later
  158. Tue Feb 3 20:09:12 2026 matrix includes 256 packed rows
  159. Tue Feb 3 20:09:14 2026 matrix is 5533111 x 5533530 (1872.9 MB) with weight 431777596 (78.03/col)
  160. Tue Feb 3 20:09:14 2026 sparse part has weight 402432349 (72.73/col)
  161. Tue Feb 3 20:09:14 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  162. Tue Feb 3 20:09:14 2026 selected card has CUDA arch 12.0
  163. Tue Feb 3 20:09:36 2026 commencing Lanczos iteration
  164. Tue Feb 3 20:09:37 2026 memory use: 4463.5 MB
  165. Tue Feb 3 20:09:50 2026 linear algebra at 0.6%, ETA 0h38m
  166. Tue Feb 3 20:10:09 2026 checking every 140000 dimensions, checkpointing every 8680000 dimensions
  167. Tue Feb 3 20:47:16 2026 lanczos halted after 21680 iterations (dim = 5533109)
  168. Tue Feb 3 20:47:32 2026 recovered 28 nontrivial dependencies
  169. Tue Feb 3 20:47:32 2026 BLanczosTime: 2610
  170. Tue Feb 3 20:47:32 2026
  171. Tue Feb 3 20:47:32 2026 commencing square root phase
  172. Tue Feb 3 20:47:32 2026 reading relations for dependency 1
  173. Tue Feb 3 20:47:33 2026 read 2767870 cycles
  174. Tue Feb 3 20:47:36 2026 cycles contain 8802276 unique relations
  175. Tue Feb 3 20:47:45 2026 read 8802276 relations
  176. Tue Feb 3 20:48:11 2026 multiplying 8802276 relations
  177. Tue Feb 3 20:48:58 2026 multiply complete, coefficients have about 478.03 million bits
  178. Tue Feb 3 20:48:59 2026 initial square root is modulo 377913353
  179. Tue Feb 3 20:50:37 2026 GCD is N, no factor found
  180. Tue Feb 3 20:50:37 2026 reading relations for dependency 2
  181. Tue Feb 3 20:50:38 2026 read 2766309 cycles
  182. Tue Feb 3 20:50:41 2026 cycles contain 8796774 unique relations
  183. Tue Feb 3 20:50:51 2026 read 8796774 relations
  184. Tue Feb 3 20:51:18 2026 multiplying 8796774 relations
  185. Tue Feb 3 20:52:07 2026 multiply complete, coefficients have about 477.74 million bits
  186. Tue Feb 3 20:52:08 2026 initial square root is modulo 373415069
  187. Tue Feb 3 20:53:51 2026 GCD is 1, no factor found
  188. Tue Feb 3 20:53:51 2026 reading relations for dependency 3
  189. Tue Feb 3 20:53:52 2026 read 2767451 cycles
  190. Tue Feb 3 20:53:55 2026 cycles contain 8801722 unique relations
  191. Tue Feb 3 20:54:06 2026 read 8801722 relations
  192. Tue Feb 3 20:54:33 2026 multiplying 8801722 relations
  193. Tue Feb 3 20:55:22 2026 multiply complete, coefficients have about 478.01 million bits
  194. Tue Feb 3 20:55:23 2026 initial square root is modulo 377542937
  195. Tue Feb 3 20:57:07 2026 sqrtTime: 575
  196. Tue Feb 3 20:57:07 2026 p67 factor: 6177356336218749643898014839675037277016973109237643818680773198697
  197. Tue Feb 3 20:57:07 2026 p96 factor: 180517230591437976492139392210175786450006526937559363308884185447588886398127434162686151726873
  198. Tue Feb 3 20:57:07 2026 elapsed time 01:16:38
  199.  
Tags: math
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