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kyleaskine
Jun 5th, 2026
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  1. Thu Jun 4 18:49:11 2026
  2. Thu Jun 4 18:49:11 2026
  3. Thu Jun 4 18:49:11 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 4 18:49:11 2026 random seeds: b3bde4f4 7101c2b0
  5. Thu Jun 4 18:49:11 2026 Using 8 OpenMP threads
  6. Thu Jun 4 18:49:11 2026 factoring 1998986083094601531876140167866953918517199891093559851304480393296030455506145168132674715482215007627431698395226176475009662748580977836846308751197483254701 (160 digits)
  7. Thu Jun 4 18:49:11 2026 no P-1/P+1/ECM available, skipping
  8. Thu Jun 4 18:49:11 2026 commencing number field sieve (160-digit input)
  9. Thu Jun 4 18:49:11 2026 R0: -17925747672535408588380374328683
  10. Thu Jun 4 18:49:11 2026 R1: 56784604914184979
  11. Thu Jun 4 18:49:11 2026 A0: -623715158744606144937006120416957470677480
  12. Thu Jun 4 18:49:11 2026 A1: 32564673057916430294052548891899318
  13. Thu Jun 4 18:49:11 2026 A2: 1073289457133562726022282619
  14. Thu Jun 4 18:49:11 2026 A3: -31095796974055676108
  15. Thu Jun 4 18:49:11 2026 A4: -297801729894
  16. Thu Jun 4 18:49:11 2026 A5: 1080
  17. Thu Jun 4 18:49:11 2026 skew 68268655.52, size 1.667e-15, alpha -8.073, combined = 1.527e-12 rroots = 5
  18. Thu Jun 4 18:49:11 2026
  19. Thu Jun 4 18:49:11 2026 commencing relation filtering
  20. Thu Jun 4 18:49:11 2026 estimated available RAM is 31872.1 MB
  21. Thu Jun 4 18:49:11 2026 commencing duplicate removal, pass 1
  22. Thu Jun 4 18:49:57 2026 error -1 reading relation 44005937
  23. Thu Jun 4 18:50:23 2026 error -1 reading relation 73798825
  24. Thu Jun 4 18:50:25 2026 error -1 reading relation 75570614
  25. Thu Jun 4 18:50:50 2026 error -1 reading relation 105466981
  26. Thu Jun 4 18:50:50 2026 error -1 reading relation 105609025
  27. Thu Jun 4 18:51:11 2026 error -1 reading relation 132096860
  28. Thu Jun 4 18:51:15 2026 error -1 reading relation 137674361
  29. Thu Jun 4 18:51:15 2026 error -1 reading relation 137733575
  30. Thu Jun 4 18:51:16 2026 error -1 reading relation 138461918
  31. Thu Jun 4 18:51:17 2026 skipped 103 malformed relations
  32. Thu Jun 4 18:51:17 2026 found 21021374 hash collisions in 140258917 relations
  33. Thu Jun 4 18:51:32 2026 added 122157 free relations
  34. Thu Jun 4 18:51:32 2026 commencing duplicate removal, pass 2
  35. Thu Jun 4 18:52:05 2026 found 19696263 duplicates and 120684811 unique relations
  36. Thu Jun 4 18:52:05 2026 memory use: 788.8 MB
  37. Thu Jun 4 18:52:05 2026 reading ideals above 74907648
  38. Thu Jun 4 18:52:05 2026 commencing singleton removal, initial pass
  39. Thu Jun 4 18:53:53 2026 memory use: 2756.0 MB
  40. Thu Jun 4 18:53:53 2026 reading all ideals from disk
  41. Thu Jun 4 18:53:54 2026 memory use: 2973.7 MB
  42. Thu Jun 4 18:53:59 2026 commencing in-memory singleton removal
  43. Thu Jun 4 18:54:00 2026 begin with 120684811 relations and 106506185 unique ideals
  44. Thu Jun 4 18:54:07 2026 reduce to 66568383 relations and 46352101 ideals in 14 passes
  45. Thu Jun 4 18:54:07 2026 max relations containing the same ideal: 49
  46. Thu Jun 4 18:54:08 2026 reading ideals above 720000
  47. Thu Jun 4 18:54:08 2026 commencing singleton removal, initial pass
  48. Thu Jun 4 18:55:50 2026 memory use: 1506.0 MB
  49. Thu Jun 4 18:55:51 2026 reading all ideals from disk
  50. Thu Jun 4 18:55:52 2026 memory use: 2976.1 MB
  51. Thu Jun 4 18:56:09 2026 keeping 54786407 ideals with weight <= 200, target excess is 344476
  52. Thu Jun 4 18:56:13 2026 commencing in-memory singleton removal
  53. Thu Jun 4 18:56:15 2026 begin with 66568383 relations and 54786407 unique ideals
  54. Thu Jun 4 18:56:22 2026 reduce to 66558506 relations and 54776529 ideals in 9 passes
  55. Thu Jun 4 18:56:22 2026 max relations containing the same ideal: 200
  56. Thu Jun 4 18:56:40 2026 removing 9721628 relations and 7721628 ideals in 2000000 cliques
  57. Thu Jun 4 18:56:42 2026 commencing in-memory singleton removal
  58. Thu Jun 4 18:56:43 2026 begin with 56836878 relations and 54776529 unique ideals
  59. Thu Jun 4 18:56:50 2026 reduce to 55775473 relations and 45954548 ideals in 10 passes
  60. Thu Jun 4 18:56:50 2026 max relations containing the same ideal: 189
  61. Thu Jun 4 18:57:04 2026 removing 7588809 relations and 5588809 ideals in 2000000 cliques
  62. Thu Jun 4 18:57:06 2026 commencing in-memory singleton removal
  63. Thu Jun 4 18:57:07 2026 begin with 48186664 relations and 45954548 unique ideals
  64. Thu Jun 4 18:57:12 2026 reduce to 47409305 relations and 39561256 ideals in 10 passes
  65. Thu Jun 4 18:57:12 2026 max relations containing the same ideal: 172
  66. Thu Jun 4 18:57:25 2026 removing 7000031 relations and 5000031 ideals in 2000000 cliques
  67. Thu Jun 4 18:57:26 2026 commencing in-memory singleton removal
  68. Thu Jun 4 18:57:27 2026 begin with 40409274 relations and 39561256 unique ideals
  69. Thu Jun 4 18:57:31 2026 reduce to 39666336 relations and 33789438 ideals in 9 passes
  70. Thu Jun 4 18:57:31 2026 max relations containing the same ideal: 152
  71. Thu Jun 4 18:57:41 2026 removing 6720118 relations and 4720118 ideals in 2000000 cliques
  72. Thu Jun 4 18:57:43 2026 commencing in-memory singleton removal
  73. Thu Jun 4 18:57:44 2026 begin with 32946218 relations and 33789438 unique ideals
  74. Thu Jun 4 18:57:46 2026 reduce to 32158939 relations and 28246409 ideals in 8 passes
  75. Thu Jun 4 18:57:46 2026 max relations containing the same ideal: 132
  76. Thu Jun 4 18:57:55 2026 removing 6562482 relations and 4562482 ideals in 2000000 cliques
  77. Thu Jun 4 18:57:56 2026 commencing in-memory singleton removal
  78. Thu Jun 4 18:57:57 2026 begin with 25596457 relations and 28246409 unique ideals
  79. Thu Jun 4 18:57:59 2026 reduce to 24705030 relations and 22742900 ideals in 8 passes
  80. Thu Jun 4 18:57:59 2026 max relations containing the same ideal: 114
  81. Thu Jun 4 18:58:05 2026 removing 5316069 relations and 3753532 ideals in 1562537 cliques
  82. Thu Jun 4 18:58:06 2026 commencing in-memory singleton removal
  83. Thu Jun 4 18:58:07 2026 begin with 19388961 relations and 22742900 unique ideals
  84. Thu Jun 4 18:58:08 2026 reduce to 18637076 relations and 18195328 ideals in 8 passes
  85. Thu Jun 4 18:58:08 2026 max relations containing the same ideal: 96
  86. Thu Jun 4 18:58:13 2026 removing 289315 relations and 247160 ideals in 42155 cliques
  87. Thu Jun 4 18:58:14 2026 commencing in-memory singleton removal
  88. Thu Jun 4 18:58:14 2026 begin with 18347761 relations and 18195328 unique ideals
  89. Thu Jun 4 18:58:15 2026 reduce to 18345402 relations and 17945804 ideals in 5 passes
  90. Thu Jun 4 18:58:15 2026 max relations containing the same ideal: 96
  91. Thu Jun 4 18:58:17 2026 relations with 0 large ideals: 1136
  92. Thu Jun 4 18:58:17 2026 relations with 1 large ideals: 3242
  93. Thu Jun 4 18:58:17 2026 relations with 2 large ideals: 52879
  94. Thu Jun 4 18:58:17 2026 relations with 3 large ideals: 393439
  95. Thu Jun 4 18:58:17 2026 relations with 4 large ideals: 1551477
  96. Thu Jun 4 18:58:17 2026 relations with 5 large ideals: 3571160
  97. Thu Jun 4 18:58:17 2026 relations with 6 large ideals: 5065207
  98. Thu Jun 4 18:58:17 2026 relations with 7+ large ideals: 7706862
  99. Thu Jun 4 18:58:17 2026 commencing 2-way merge
  100. Thu Jun 4 18:58:23 2026 reduce to 11455458 relation sets and 11055860 unique ideals
  101. Thu Jun 4 18:58:23 2026 commencing full merge
  102. Thu Jun 4 19:00:19 2026 memory use: 1414.0 MB
  103. Thu Jun 4 19:00:19 2026 found 5776545 cycles, need 5724060
  104. Thu Jun 4 19:00:20 2026 weight of 5724060 cycles is about 515445853 (90.05/cycle)
  105. Thu Jun 4 19:00:20 2026 distribution of cycle lengths:
  106. Thu Jun 4 19:00:20 2026 1 relations: 400814
  107. Thu Jun 4 19:00:20 2026 2 relations: 518365
  108. Thu Jun 4 19:00:20 2026 3 relations: 569436
  109. Thu Jun 4 19:00:20 2026 4 relations: 563779
  110. Thu Jun 4 19:00:20 2026 5 relations: 560580
  111. Thu Jun 4 19:00:20 2026 6 relations: 523984
  112. Thu Jun 4 19:00:20 2026 7 relations: 485388
  113. Thu Jun 4 19:00:20 2026 8 relations: 425885
  114. Thu Jun 4 19:00:20 2026 9 relations: 365857
  115. Thu Jun 4 19:00:20 2026 10+ relations: 1309972
  116. Thu Jun 4 19:00:20 2026 heaviest cycle: 22 relations
  117. Thu Jun 4 19:00:21 2026 commencing cycle optimization
  118. Thu Jun 4 19:00:27 2026 start with 38047983 relations
  119. Thu Jun 4 19:01:00 2026 pruned 1273455 relations
  120. Thu Jun 4 19:01:00 2026 memory use: 1153.3 MB
  121. Thu Jun 4 19:01:00 2026 distribution of cycle lengths:
  122. Thu Jun 4 19:01:00 2026 1 relations: 400814
  123. Thu Jun 4 19:01:00 2026 2 relations: 530801
  124. Thu Jun 4 19:01:00 2026 3 relations: 592549
  125. Thu Jun 4 19:01:00 2026 4 relations: 583701
  126. Thu Jun 4 19:01:00 2026 5 relations: 582950
  127. Thu Jun 4 19:01:00 2026 6 relations: 542076
  128. Thu Jun 4 19:01:00 2026 7 relations: 500171
  129. Thu Jun 4 19:01:00 2026 8 relations: 434128
  130. Thu Jun 4 19:01:00 2026 9 relations: 368450
  131. Thu Jun 4 19:01:00 2026 10+ relations: 1188420
  132. Thu Jun 4 19:01:00 2026 heaviest cycle: 22 relations
  133. Thu Jun 4 19:01:05 2026 RelProcTime: 714
  134. Thu Jun 4 19:01:05 2026
  135. Thu Jun 4 19:01:05 2026 commencing linear algebra
  136. Thu Jun 4 19:01:05 2026 using VBITS=64
  137. Thu Jun 4 19:01:05 2026 read 5724060 cycles
  138. Thu Jun 4 19:01:09 2026 cycles contain 18106386 unique relations
  139. Thu Jun 4 19:01:23 2026 read 18106386 relations
  140. Thu Jun 4 19:01:27 2026 using 20 quadratic characters above 4294917295
  141. Thu Jun 4 19:01:34 2026 building initial matrix
  142. Thu Jun 4 19:03:23 2026 memory use: 2542.4 MB
  143. Thu Jun 4 19:03:24 2026 read 5724060 cycles
  144. Thu Jun 4 19:03:25 2026 matrix is 5723882 x 5724060 (2130.7 MB) with weight 670445320 (117.13/col)
  145. Thu Jun 4 19:03:25 2026 sparse part has weight 489873604 (85.58/col)
  146. Thu Jun 4 19:03:59 2026 filtering completed in 2 passes
  147. Thu Jun 4 19:04:00 2026 matrix is 5723386 x 5723563 (2130.7 MB) with weight 670424188 (117.13/col)
  148. Thu Jun 4 19:04:00 2026 sparse part has weight 489868365 (85.59/col)
  149. Thu Jun 4 19:04:07 2026 matrix starts at (0, 0)
  150. Thu Jun 4 19:04:07 2026 matrix is 5723386 x 5723563 (2130.7 MB) with weight 670424188 (117.13/col)
  151. Thu Jun 4 19:04:07 2026 sparse part has weight 489868365 (85.59/col)
  152. Thu Jun 4 19:04:07 2026 saving the first 48 matrix rows for later
  153. Thu Jun 4 19:04:08 2026 matrix includes 64 packed rows
  154. Thu Jun 4 19:04:08 2026 matrix is 5723338 x 5723563 (2075.4 MB) with weight 552578053 (96.54/col)
  155. Thu Jun 4 19:04:08 2026 sparse part has weight 486821987 (85.06/col)
  156. Thu Jun 4 19:04:08 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  157. Thu Jun 4 19:04:08 2026 selected card has CUDA arch 8.6
  158. Thu Jun 4 19:05:22 2026 commencing Lanczos iteration
  159. Thu Jun 4 19:05:23 2026 memory use: 4107.2 MB
  160. Thu Jun 4 19:05:54 2026 checking every 30000 dimensions, checkpointing every 2250000 dimensions
  161. Thu Jun 4 19:06:13 2026 linear algebra at 0.5%, ETA 2h36m
  162. Thu Jun 4 21:39:09 2026 lanczos halted after 90506 iterations (dim = 5723338)
  163. Thu Jun 4 21:39:12 2026 recovered 30 nontrivial dependencies
  164. Thu Jun 4 21:39:12 2026 BLanczosTime: 9487
  165. Thu Jun 4 21:39:12 2026
  166. Thu Jun 4 21:39:12 2026 commencing square root phase
  167. Thu Jun 4 21:39:12 2026 reading relations for dependency 1
  168. Thu Jun 4 21:39:13 2026 read 2862123 cycles
  169. Thu Jun 4 21:39:15 2026 cycles contain 9057380 unique relations
  170. Thu Jun 4 21:39:44 2026 read 9057380 relations
  171. Thu Jun 4 21:40:04 2026 multiplying 9057380 relations
  172. Thu Jun 4 21:40:49 2026 multiply complete, coefficients have about 444.92 million bits
  173. Thu Jun 4 21:40:49 2026 initial square root is modulo 96226079
  174. Thu Jun 4 21:42:08 2026 GCD is 1, no factor found
  175. Thu Jun 4 21:42:08 2026 reading relations for dependency 2
  176. Thu Jun 4 21:42:08 2026 read 2862399 cycles
  177. Thu Jun 4 21:42:10 2026 cycles contain 9055932 unique relations
  178. Thu Jun 4 21:42:20 2026 read 9055932 relations
  179. Thu Jun 4 21:42:39 2026 multiplying 9055932 relations
  180. Thu Jun 4 21:43:24 2026 multiply complete, coefficients have about 444.85 million bits
  181. Thu Jun 4 21:43:25 2026 initial square root is modulo 95939273
  182. Thu Jun 4 21:44:42 2026 GCD is N, no factor found
  183. Thu Jun 4 21:44:42 2026 reading relations for dependency 3
  184. Thu Jun 4 21:44:43 2026 read 2862414 cycles
  185. Thu Jun 4 21:44:45 2026 cycles contain 9048072 unique relations
  186. Thu Jun 4 21:44:52 2026 read 9048072 relations
  187. Thu Jun 4 21:45:12 2026 multiplying 9048072 relations
  188. Thu Jun 4 21:45:56 2026 multiply complete, coefficients have about 444.46 million bits
  189. Thu Jun 4 21:45:57 2026 initial square root is modulo 94415687
  190. Thu Jun 4 21:47:14 2026 GCD is N, no factor found
  191. Thu Jun 4 21:47:14 2026 reading relations for dependency 4
  192. Thu Jun 4 21:47:14 2026 read 2861495 cycles
  193. Thu Jun 4 21:47:16 2026 cycles contain 9055262 unique relations
  194. Thu Jun 4 21:47:24 2026 read 9055262 relations
  195. Thu Jun 4 21:47:43 2026 multiplying 9055262 relations
  196. Thu Jun 4 21:48:28 2026 multiply complete, coefficients have about 444.82 million bits
  197. Thu Jun 4 21:48:29 2026 initial square root is modulo 95838157
  198. Thu Jun 4 21:49:47 2026 GCD is 1, no factor found
  199. Thu Jun 4 21:49:47 2026 reading relations for dependency 5
  200. Thu Jun 4 21:49:48 2026 read 2862601 cycles
  201. Thu Jun 4 21:49:50 2026 cycles contain 9054732 unique relations
  202. Thu Jun 4 21:49:58 2026 read 9054732 relations
  203. Thu Jun 4 21:50:17 2026 multiplying 9054732 relations
  204. Thu Jun 4 21:51:01 2026 multiply complete, coefficients have about 444.80 million bits
  205. Thu Jun 4 21:51:02 2026 initial square root is modulo 95746753
  206. Thu Jun 4 21:52:20 2026 sqrtTime: 788
  207. Thu Jun 4 21:52:20 2026 p76 factor: 6939372528499109118300337258126769483473774105249241188079770248265556124661
  208. Thu Jun 4 21:52:20 2026 p84 factor: 288064385488028373856092520031260399129325279056911414007817559208714883104651527641
  209. Thu Jun 4 21:52:20 2026 elapsed time 03:03:09
  210.  
Tags: math
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