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Oct 17th, 2024
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  1. Thu Oct 17 08:59:44 2024
  2. Thu Oct 17 08:59:44 2024 Msieve v. 1.54 (SVN Unversioned directory)
  3. Thu Oct 17 08:59:44 2024 random seeds: d3d35392 e7d09ecb
  4. Thu Oct 17 08:59:44 2024 factoring 234094123573101923936421366543845577913696188806616874908184985348952722383780174423814826912025980849010645302571133328748786182617855767775887524243520112150533046647713913816555558911439 (189 digits)
  5. Thu Oct 17 08:59:46 2024 searching for 15-digit factors
  6. Thu Oct 17 08:59:46 2024 commencing number field sieve (189-digit input)
  7. Thu Oct 17 08:59:46 2024 R0: 5545312619114920252940839600578479297
  8. Thu Oct 17 08:59:46 2024 R1: -1
  9. Thu Oct 17 08:59:46 2024 A0: -177473
  10. Thu Oct 17 08:59:46 2024 A1: 0
  11. Thu Oct 17 08:59:46 2024 A2: 0
  12. Thu Oct 17 08:59:46 2024 A3: 0
  13. Thu Oct 17 08:59:46 2024 A4: 0
  14. Thu Oct 17 08:59:46 2024 A5: 0
  15. Thu Oct 17 08:59:46 2024 A6: 1
  16. Thu Oct 17 08:59:46 2024 skew 9.51, size 1.627e-11, alpha 2.484, combined = 9.326e-13 rroots = 2
  17. Thu Oct 17 08:59:46 2024
  18. Thu Oct 17 08:59:46 2024 commencing relation filtering
  19. Thu Oct 17 08:59:46 2024 setting target matrix density to 112.0
  20. Thu Oct 17 08:59:46 2024 estimated available RAM is 15954.6 MB
  21. Thu Oct 17 08:59:46 2024 commencing duplicate removal, pass 1
  22. Thu Oct 17 09:11:00 2024 error -5 reading relation 81176009
  23. Thu Oct 17 09:12:42 2024 skipped 1 relations with b > 2^32
  24. Thu Oct 17 09:12:42 2024 skipped 2 relations with composite factors
  25. Thu Oct 17 09:12:42 2024 found 3875242 hash collisions in 93899466 relations
  26. Thu Oct 17 09:13:10 2024 added 1218175 free relations
  27. Thu Oct 17 09:13:10 2024 commencing duplicate removal, pass 2
  28. Thu Oct 17 09:13:45 2024 found 0 duplicates and 95117641 unique relations
  29. Thu Oct 17 09:13:45 2024 memory use: 261.2 MB
  30. Thu Oct 17 09:13:45 2024 reading ideals above 67305472
  31. Thu Oct 17 09:13:45 2024 commencing singleton removal, initial pass
  32. Thu Oct 17 09:23:56 2024 memory use: 2756.0 MB
  33. Thu Oct 17 09:23:56 2024 reading all ideals from disk
  34. Thu Oct 17 09:23:59 2024 memory use: 1806.6 MB
  35. Thu Oct 17 09:24:06 2024 commencing in-memory singleton removal
  36. Thu Oct 17 09:24:12 2024 begin with 95117641 relations and 82802963 unique ideals
  37. Thu Oct 17 09:25:17 2024 reduce to 59181237 relations and 42930984 ideals in 14 passes
  38. Thu Oct 17 09:25:17 2024 max relations containing the same ideal: 40
  39. Thu Oct 17 09:25:23 2024 reading ideals above 720000
  40. Thu Oct 17 09:25:23 2024 commencing singleton removal, initial pass
  41. Thu Oct 17 09:34:53 2024 memory use: 1378.0 MB
  42. Thu Oct 17 09:34:53 2024 reading all ideals from disk
  43. Thu Oct 17 09:34:57 2024 memory use: 2239.1 MB
  44. Thu Oct 17 09:35:05 2024 keeping 50563580 ideals with weight <= 200, target excess is 303326
  45. Thu Oct 17 09:35:15 2024 commencing in-memory singleton removal
  46. Thu Oct 17 09:35:23 2024 begin with 59181237 relations and 50563580 unique ideals
  47. Thu Oct 17 09:36:14 2024 reduce to 59180801 relations and 50563144 ideals in 6 passes
  48. Thu Oct 17 09:36:14 2024 max relations containing the same ideal: 200
  49. Thu Oct 17 09:36:54 2024 removing 5836468 relations and 4836468 ideals in 1000000 cliques
  50. Thu Oct 17 09:36:57 2024 commencing in-memory singleton removal
  51. Thu Oct 17 09:37:04 2024 begin with 53344333 relations and 50563144 unique ideals
  52. Thu Oct 17 09:38:10 2024 reduce to 52849762 relations and 45221106 ideals in 9 passes
  53. Thu Oct 17 09:38:10 2024 max relations containing the same ideal: 194
  54. Thu Oct 17 09:38:47 2024 removing 4493524 relations and 3493524 ideals in 1000000 cliques
  55. Thu Oct 17 09:38:49 2024 commencing in-memory singleton removal
  56. Thu Oct 17 09:38:56 2024 begin with 48356238 relations and 45221106 unique ideals
  57. Thu Oct 17 09:39:43 2024 reduce to 48033613 relations and 41398557 ideals in 7 passes
  58. Thu Oct 17 09:39:43 2024 max relations containing the same ideal: 184
  59. Thu Oct 17 09:40:17 2024 removing 4091622 relations and 3091622 ideals in 1000000 cliques
  60. Thu Oct 17 09:40:19 2024 commencing in-memory singleton removal
  61. Thu Oct 17 09:40:24 2024 begin with 43941991 relations and 41398557 unique ideals
  62. Thu Oct 17 09:41:03 2024 reduce to 43657922 relations and 38017291 ideals in 7 passes
  63. Thu Oct 17 09:41:03 2024 max relations containing the same ideal: 172
  64. Thu Oct 17 09:41:32 2024 removing 3873466 relations and 2873466 ideals in 1000000 cliques
  65. Thu Oct 17 09:41:34 2024 commencing in-memory singleton removal
  66. Thu Oct 17 09:41:39 2024 begin with 39784456 relations and 38017291 unique ideals
  67. Thu Oct 17 09:42:14 2024 reduce to 39515133 relations and 34868727 ideals in 7 passes
  68. Thu Oct 17 09:42:14 2024 max relations containing the same ideal: 163
  69. Thu Oct 17 09:42:40 2024 removing 3740370 relations and 2740370 ideals in 1000000 cliques
  70. Thu Oct 17 09:42:42 2024 commencing in-memory singleton removal
  71. Thu Oct 17 09:42:46 2024 begin with 35774763 relations and 34868727 unique ideals
  72. Thu Oct 17 09:43:17 2024 reduce to 35507946 relations and 31855549 ideals in 7 passes
  73. Thu Oct 17 09:43:17 2024 max relations containing the same ideal: 158
  74. Thu Oct 17 09:43:40 2024 removing 3642269 relations and 2642269 ideals in 1000000 cliques
  75. Thu Oct 17 09:43:42 2024 commencing in-memory singleton removal
  76. Thu Oct 17 09:43:46 2024 begin with 31865677 relations and 31855549 unique ideals
  77. Thu Oct 17 09:44:14 2024 reduce to 31592691 relations and 28933515 ideals in 7 passes
  78. Thu Oct 17 09:44:14 2024 max relations containing the same ideal: 141
  79. Thu Oct 17 09:44:35 2024 removing 3571104 relations and 2571104 ideals in 1000000 cliques
  80. Thu Oct 17 09:44:37 2024 commencing in-memory singleton removal
  81. Thu Oct 17 09:44:40 2024 begin with 28021587 relations and 28933515 unique ideals
  82. Thu Oct 17 09:45:08 2024 reduce to 27736775 relations and 26069950 ideals in 8 passes
  83. Thu Oct 17 09:45:08 2024 max relations containing the same ideal: 131
  84. Thu Oct 17 09:45:26 2024 removing 3519991 relations and 2519991 ideals in 1000000 cliques
  85. Thu Oct 17 09:45:28 2024 commencing in-memory singleton removal
  86. Thu Oct 17 09:45:30 2024 begin with 24216784 relations and 26069950 unique ideals
  87. Thu Oct 17 09:45:54 2024 reduce to 23904542 relations and 23228110 ideals in 8 passes
  88. Thu Oct 17 09:45:54 2024 max relations containing the same ideal: 118
  89. Thu Oct 17 09:46:09 2024 removing 1414610 relations and 1090037 ideals in 324573 cliques
  90. Thu Oct 17 09:46:11 2024 commencing in-memory singleton removal
  91. Thu Oct 17 09:46:13 2024 begin with 22489932 relations and 23228110 unique ideals
  92. Thu Oct 17 09:46:29 2024 reduce to 22434830 relations and 22082371 ideals in 6 passes
  93. Thu Oct 17 09:46:29 2024 max relations containing the same ideal: 116
  94. Thu Oct 17 09:46:49 2024 relations with 0 large ideals: 10378
  95. Thu Oct 17 09:46:49 2024 relations with 1 large ideals: 4664
  96. Thu Oct 17 09:46:49 2024 relations with 2 large ideals: 30778
  97. Thu Oct 17 09:46:49 2024 relations with 3 large ideals: 256749
  98. Thu Oct 17 09:46:49 2024 relations with 4 large ideals: 1167203
  99. Thu Oct 17 09:46:49 2024 relations with 5 large ideals: 3179795
  100. Thu Oct 17 09:46:49 2024 relations with 6 large ideals: 5424327
  101. Thu Oct 17 09:46:49 2024 relations with 7+ large ideals: 12360936
  102. Thu Oct 17 09:46:49 2024 commencing 2-way merge
  103. Thu Oct 17 09:47:09 2024 reduce to 14981490 relation sets and 14629031 unique ideals
  104. Thu Oct 17 09:47:09 2024 commencing full merge
  105. Thu Oct 17 09:54:38 2024 memory use: 1973.3 MB
  106. Thu Oct 17 09:54:40 2024 found 6867773 cycles, need 6851231
  107. Thu Oct 17 09:54:44 2024 weight of 6851231 cycles is about 767742611 (112.06/cycle)
  108. Thu Oct 17 09:54:44 2024 distribution of cycle lengths:
  109. Thu Oct 17 09:54:44 2024 1 relations: 276093
  110. Thu Oct 17 09:54:44 2024 2 relations: 434938
  111. Thu Oct 17 09:54:44 2024 3 relations: 516984
  112. Thu Oct 17 09:54:44 2024 4 relations: 534764
  113. Thu Oct 17 09:54:44 2024 5 relations: 544117
  114. Thu Oct 17 09:54:44 2024 6 relations: 527425
  115. Thu Oct 17 09:54:44 2024 7 relations: 510282
  116. Thu Oct 17 09:54:44 2024 8 relations: 478705
  117. Thu Oct 17 09:54:44 2024 9 relations: 444483
  118. Thu Oct 17 09:54:44 2024 10+ relations: 2583440
  119. Thu Oct 17 09:54:44 2024 heaviest cycle: 28 relations
  120. Thu Oct 17 09:54:47 2024 commencing cycle optimization
  121. Thu Oct 17 09:55:05 2024 start with 58746855 relations
  122. Thu Oct 17 09:58:00 2024 pruned 2647806 relations
  123. Thu Oct 17 09:58:00 2024 memory use: 1544.5 MB
  124. Thu Oct 17 09:58:00 2024 distribution of cycle lengths:
  125. Thu Oct 17 09:58:00 2024 1 relations: 276093
  126. Thu Oct 17 09:58:00 2024 2 relations: 446073
  127. Thu Oct 17 09:58:00 2024 3 relations: 540122
  128. Thu Oct 17 09:58:00 2024 4 relations: 557965
  129. Thu Oct 17 09:58:00 2024 5 relations: 571170
  130. Thu Oct 17 09:58:00 2024 6 relations: 551733
  131. Thu Oct 17 09:58:00 2024 7 relations: 534735
  132. Thu Oct 17 09:58:00 2024 8 relations: 499236
  133. Thu Oct 17 09:58:00 2024 9 relations: 462320
  134. Thu Oct 17 09:58:00 2024 10+ relations: 2411784
  135. Thu Oct 17 09:58:00 2024 heaviest cycle: 28 relations
  136. Thu Oct 17 09:58:17 2024 RelProcTime: 3511
  137. Thu Oct 17 09:58:17 2024 elapsed time 00:58:33
  138. Thu Oct 17 16:57:13 2024
  139. Thu Oct 17 16:57:13 2024
  140. Thu Oct 17 16:57:13 2024 Msieve v. 1.54 (SVN Unversioned directory)
  141. Thu Oct 17 16:57:13 2024 random seeds: ef3149ce 05b4b31e
  142. Thu Oct 17 16:57:13 2024 factoring 234094123573101923936421366543845577913696188806616874908184985348952722383780174423814826912025980849010645302571133328748786182617855767775887524243520112150533046647713913816555558911439 (189 digits)
  143. Thu Oct 17 16:57:14 2024 no P-1/P+1/ECM available, skipping
  144. Thu Oct 17 16:57:14 2024 commencing number field sieve (189-digit input)
  145. Thu Oct 17 16:57:14 2024 R0: 5545312619114920252940839600578479297
  146. Thu Oct 17 16:57:14 2024 R1: -1
  147. Thu Oct 17 16:57:14 2024 A0: -177473
  148. Thu Oct 17 16:57:14 2024 A1: 0
  149. Thu Oct 17 16:57:14 2024 A2: 0
  150. Thu Oct 17 16:57:14 2024 A3: 0
  151. Thu Oct 17 16:57:14 2024 A4: 0
  152. Thu Oct 17 16:57:14 2024 A5: 0
  153. Thu Oct 17 16:57:14 2024 A6: 1
  154. Thu Oct 17 16:57:14 2024 skew 9.51, size 1.627e-11, alpha 2.484, combined = 9.326e-13 rroots = 2
  155. Thu Oct 17 16:57:14 2024
  156. Thu Oct 17 16:57:14 2024 commencing linear algebra
  157. Thu Oct 17 16:57:14 2024 using VBITS=512
  158. Thu Oct 17 16:57:14 2024 read 6851231 cycles
  159. Thu Oct 17 16:57:27 2024 cycles contain 22249434 unique relations
  160. Thu Oct 17 16:59:17 2024 read 22249434 relations
  161. Thu Oct 17 16:59:58 2024 using 20 quadratic characters above 4294917295
  162. Thu Oct 17 17:01:29 2024 building initial matrix
  163. Thu Oct 17 17:05:43 2024 memory use: 2766.6 MB
  164. Thu Oct 17 17:06:25 2024 read 6851231 cycles
  165. Thu Oct 17 17:06:26 2024 matrix is 6851054 x 6851231 (2999.9 MB) with weight 854674122 (124.75/col)
  166. Thu Oct 17 17:06:26 2024 sparse part has weight 717895701 (104.78/col)
  167. Thu Oct 17 17:07:47 2024 filtering completed in 2 passes
  168. Thu Oct 17 17:07:49 2024 matrix is 6850978 x 6851139 (2999.9 MB) with weight 854671812 (124.75/col)
  169. Thu Oct 17 17:07:49 2024 sparse part has weight 717895085 (104.78/col)
  170. Thu Oct 17 17:09:20 2024 matrix starts at (0, 0)
  171. Thu Oct 17 17:09:21 2024 matrix is 6850978 x 6851139 (2999.9 MB) with weight 854671812 (124.75/col)
  172. Thu Oct 17 17:09:21 2024 sparse part has weight 717895085 (104.78/col)
  173. Thu Oct 17 17:09:21 2024 saving the first 496 matrix rows for later
  174. Thu Oct 17 17:09:23 2024 matrix includes 512 packed rows
  175. Thu Oct 17 17:09:28 2024 matrix is 6850482 x 6851139 (2853.6 MB) with weight 617483975 (90.13/col)
  176. Thu Oct 17 17:09:28 2024 sparse part has weight 583614083 (85.18/col)
  177. Thu Oct 17 17:09:28 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  178. Thu Oct 17 17:09:28 2024 selected card has CUDA arch 8.6
  179. Thu Oct 17 17:15:08 2024
  180. Thu Oct 17 17:15:08 2024
  181. Thu Oct 17 17:15:08 2024 Msieve v. 1.54 (SVN Unversioned directory)
  182. Thu Oct 17 17:15:08 2024 random seeds: ed49fb1c 9b5c14d3
  183. Thu Oct 17 17:15:08 2024 factoring 234094123573101923936421366543845577913696188806616874908184985348952722383780174423814826912025980849010645302571133328748786182617855767775887524243520112150533046647713913816555558911439 (189 digits)
  184. Thu Oct 17 17:15:09 2024 no P-1/P+1/ECM available, skipping
  185. Thu Oct 17 17:15:09 2024 commencing number field sieve (189-digit input)
  186. Thu Oct 17 17:15:09 2024 R0: 5545312619114920252940839600578479297
  187. Thu Oct 17 17:15:09 2024 R1: -1
  188. Thu Oct 17 17:15:09 2024 A0: -177473
  189. Thu Oct 17 17:15:09 2024 A1: 0
  190. Thu Oct 17 17:15:09 2024 A2: 0
  191. Thu Oct 17 17:15:09 2024 A3: 0
  192. Thu Oct 17 17:15:09 2024 A4: 0
  193. Thu Oct 17 17:15:09 2024 A5: 0
  194. Thu Oct 17 17:15:09 2024 A6: 1
  195. Thu Oct 17 17:15:09 2024 skew 9.51, size 1.627e-11, alpha 2.484, combined = 9.326e-13 rroots = 2
  196. Thu Oct 17 17:15:09 2024
  197. Thu Oct 17 17:15:09 2024 commencing linear algebra
  198. Thu Oct 17 17:15:09 2024 using VBITS=512
  199. Thu Oct 17 17:15:09 2024 skipping matrix build
  200. Thu Oct 17 17:15:31 2024 matrix starts at (0, 0)
  201. Thu Oct 17 17:15:32 2024 matrix is 6850978 x 6851139 (2999.9 MB) with weight 854671812 (124.75/col)
  202. Thu Oct 17 17:15:32 2024 sparse part has weight 717895085 (104.78/col)
  203. Thu Oct 17 17:15:32 2024 saving the first 496 matrix rows for later
  204. Thu Oct 17 17:15:34 2024 matrix includes 512 packed rows
  205. Thu Oct 17 17:15:38 2024 matrix is 6850482 x 6851139 (2853.6 MB) with weight 617483975 (90.13/col)
  206. Thu Oct 17 17:15:38 2024 sparse part has weight 583614083 (85.18/col)
  207. Thu Oct 17 17:15:39 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  208. Thu Oct 17 17:15:39 2024 selected card has CUDA arch 8.6
  209. Thu Oct 17 17:16:22 2024 commencing Lanczos iteration
  210. Thu Oct 17 17:16:23 2024 memory use: 7954.7 MB
  211. Thu Oct 17 17:16:47 2024 linear algebra at 0.2%, ETA 2h58m
  212. Thu Oct 17 17:16:48 2024 checkpointing every 2290000 dimensions
  213. Thu Oct 17 20:30:32 2024 lanczos halted after 13401 iterations (dim = 6850480)
  214. Thu Oct 17 20:32:45 2024 recovered 35 nontrivial dependencies
  215. Thu Oct 17 20:32:46 2024 BLanczosTime: 11857
  216. Thu Oct 17 20:32:46 2024
  217. Thu Oct 17 20:32:46 2024 commencing square root phase
  218. Thu Oct 17 20:32:46 2024 handling dependencies 1 to 64
  219. Thu Oct 17 20:32:46 2024 reading relations for dependency 1
  220. Thu Oct 17 20:32:48 2024 read 3426420 cycles
  221. Thu Oct 17 20:33:02 2024 cycles contain 11128464 unique relations
  222. Thu Oct 17 20:35:14 2024 read 11128464 relations
  223. Thu Oct 17 20:36:45 2024 multiplying 11128464 relations
  224. Thu Oct 17 20:49:58 2024 multiply complete, coefficients have about 288.98 million bits
  225. Thu Oct 17 20:50:00 2024 initial square root is modulo 153271
  226. Thu Oct 17 21:02:46 2024 sqrtTime: 1800
  227. Thu Oct 17 21:02:46 2024 p73 factor: 1574988905703635968949613506732609657809464189775316600933286452391529537
  228. Thu Oct 17 21:02:46 2024 p117 factor: 148632236535354473601653134145835307894747262651413270843228203998154618799473206102308804264753366502261456506373647
  229. Thu Oct 17 21:02:46 2024 elapsed time 03:47:38
  230.  
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