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Aug 18th, 2023
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  1. Fri Aug 18 09:43:46 2023
  2. Fri Aug 18 09:43:46 2023
  3. Fri Aug 18 09:43:46 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Aug 18 09:43:46 2023 random seeds: f6191dd8 dfed2159
  5. Fri Aug 18 09:43:46 2023 factoring 2417339138888695338521199543090682525866880483656455530151695094088184475093643446619977988863667342537705815305010470411266728484026737765045802742939413993704665989443828883307443208431005177782915137 (202 digits)
  6. Fri Aug 18 09:43:47 2023 no P-1/P+1/ECM available, skipping
  7. Fri Aug 18 09:43:47 2023 commencing number field sieve (202-digit input)
  8. Fri Aug 18 09:43:47 2023 R0: 516896312970904440917037960058970093
  9. Fri Aug 18 09:43:47 2023 R1: -1
  10. Fri Aug 18 09:43:47 2023 A0: -9293
  11. Fri Aug 18 09:43:47 2023 A1: 0
  12. Fri Aug 18 09:43:47 2023 A2: 0
  13. Fri Aug 18 09:43:47 2023 A3: 0
  14. Fri Aug 18 09:43:47 2023 A4: 0
  15. Fri Aug 18 09:43:47 2023 A5: 0
  16. Fri Aug 18 09:43:47 2023 A6: 1
  17. Fri Aug 18 09:43:47 2023 skew 4.59, size 4.539e-11, alpha 2.496, combined = 1.921e-12 rroots = 2
  18. Fri Aug 18 09:43:47 2023
  19. Fri Aug 18 09:43:47 2023 commencing relation filtering
  20. Fri Aug 18 09:43:47 2023 setting target matrix density to 120.0
  21. Fri Aug 18 09:43:47 2023 estimated available RAM is 15960.0 MB
  22. Fri Aug 18 09:43:47 2023 commencing duplicate removal, pass 1
  23. Fri Aug 18 10:03:37 2023 skipped 1 relations with b > 2^32
  24. Fri Aug 18 10:03:37 2023 skipped 2 relations with composite factors
  25. Fri Aug 18 10:03:37 2023 found 5586016 hash collisions in 113404588 relations
  26. Fri Aug 18 10:04:00 2023 added 1218999 free relations
  27. Fri Aug 18 10:04:00 2023 commencing duplicate removal, pass 2
  28. Fri Aug 18 10:04:49 2023 found 0 duplicates and 114623587 unique relations
  29. Fri Aug 18 10:04:49 2023 memory use: 378.4 MB
  30. Fri Aug 18 10:04:49 2023 reading ideals above 73990144
  31. Fri Aug 18 10:04:49 2023 commencing singleton removal, initial pass
  32. Fri Aug 18 10:19:52 2023 memory use: 2756.0 MB
  33. Fri Aug 18 10:19:53 2023 reading all ideals from disk
  34. Fri Aug 18 10:19:59 2023 memory use: 1928.0 MB
  35. Fri Aug 18 10:20:06 2023 commencing in-memory singleton removal
  36. Fri Aug 18 10:20:12 2023 begin with 114623587 relations and 84596732 unique ideals
  37. Fri Aug 18 10:21:17 2023 reduce to 84223314 relations and 51760180 ideals in 11 passes
  38. Fri Aug 18 10:21:17 2023 max relations containing the same ideal: 49
  39. Fri Aug 18 10:21:24 2023 reading ideals above 720000
  40. Fri Aug 18 10:21:24 2023 commencing singleton removal, initial pass
  41. Fri Aug 18 10:35:45 2023 memory use: 1506.0 MB
  42. Fri Aug 18 10:35:46 2023 reading all ideals from disk
  43. Fri Aug 18 10:35:56 2023 memory use: 3126.1 MB
  44. Fri Aug 18 10:36:09 2023 keeping 60007859 ideals with weight <= 200, target excess is 433091
  45. Fri Aug 18 10:36:25 2023 commencing in-memory singleton removal
  46. Fri Aug 18 10:36:37 2023 begin with 84223314 relations and 60007859 unique ideals
  47. Fri Aug 18 10:37:10 2023 reduce to 84223142 relations and 60007687 ideals in 3 passes
  48. Fri Aug 18 10:37:10 2023 max relations containing the same ideal: 200
  49. Fri Aug 18 10:38:13 2023 removing 7567635 relations and 5567635 ideals in 2000000 cliques
  50. Fri Aug 18 10:38:18 2023 commencing in-memory singleton removal
  51. Fri Aug 18 10:38:28 2023 begin with 76655507 relations and 60007687 unique ideals
  52. Fri Aug 18 10:39:37 2023 reduce to 76104856 relations and 53873010 ideals in 7 passes
  53. Fri Aug 18 10:39:37 2023 max relations containing the same ideal: 195
  54. Fri Aug 18 10:40:31 2023 removing 6110692 relations and 4110692 ideals in 2000000 cliques
  55. Fri Aug 18 10:40:35 2023 commencing in-memory singleton removal
  56. Fri Aug 18 10:40:45 2023 begin with 69994164 relations and 53873010 unique ideals
  57. Fri Aug 18 10:41:35 2023 reduce to 69618477 relations and 49376782 ideals in 6 passes
  58. Fri Aug 18 10:41:35 2023 max relations containing the same ideal: 185
  59. Fri Aug 18 10:42:27 2023 removing 5706054 relations and 3706054 ideals in 2000000 cliques
  60. Fri Aug 18 10:42:32 2023 commencing in-memory singleton removal
  61. Fri Aug 18 10:42:40 2023 begin with 63912423 relations and 49376782 unique ideals
  62. Fri Aug 18 10:43:33 2023 reduce to 63586264 relations and 45335887 ideals in 7 passes
  63. Fri Aug 18 10:43:33 2023 max relations containing the same ideal: 176
  64. Fri Aug 18 10:44:19 2023 removing 5490469 relations and 3490469 ideals in 2000000 cliques
  65. Fri Aug 18 10:44:24 2023 commencing in-memory singleton removal
  66. Fri Aug 18 10:44:32 2023 begin with 58095795 relations and 45335887 unique ideals
  67. Fri Aug 18 10:45:13 2023 reduce to 57788451 relations and 41529306 ideals in 6 passes
  68. Fri Aug 18 10:45:13 2023 max relations containing the same ideal: 169
  69. Fri Aug 18 10:45:54 2023 removing 5354985 relations and 3354985 ideals in 2000000 cliques
  70. Fri Aug 18 10:45:58 2023 commencing in-memory singleton removal
  71. Fri Aug 18 10:46:04 2023 begin with 52433466 relations and 41529306 unique ideals
  72. Fri Aug 18 10:46:40 2023 reduce to 52132835 relations and 37864562 ideals in 6 passes
  73. Fri Aug 18 10:46:40 2023 max relations containing the same ideal: 158
  74. Fri Aug 18 10:47:18 2023 removing 5261865 relations and 3261865 ideals in 2000000 cliques
  75. Fri Aug 18 10:47:22 2023 commencing in-memory singleton removal
  76. Fri Aug 18 10:47:28 2023 begin with 46870970 relations and 37864562 unique ideals
  77. Fri Aug 18 10:48:00 2023 reduce to 46566370 relations and 34288210 ideals in 6 passes
  78. Fri Aug 18 10:48:00 2023 max relations containing the same ideal: 146
  79. Fri Aug 18 10:48:33 2023 removing 5191037 relations and 3191037 ideals in 2000000 cliques
  80. Fri Aug 18 10:48:36 2023 commencing in-memory singleton removal
  81. Fri Aug 18 10:48:42 2023 begin with 41375333 relations and 34288210 unique ideals
  82. Fri Aug 18 10:49:10 2023 reduce to 41058645 relations and 30769001 ideals in 6 passes
  83. Fri Aug 18 10:49:10 2023 max relations containing the same ideal: 136
  84. Fri Aug 18 10:49:40 2023 removing 5139575 relations and 3139575 ideals in 2000000 cliques
  85. Fri Aug 18 10:49:44 2023 commencing in-memory singleton removal
  86. Fri Aug 18 10:49:49 2023 begin with 35919070 relations and 30769001 unique ideals
  87. Fri Aug 18 10:50:18 2023 reduce to 35583531 relations and 27280413 ideals in 7 passes
  88. Fri Aug 18 10:50:18 2023 max relations containing the same ideal: 121
  89. Fri Aug 18 10:50:42 2023 removing 5094213 relations and 3094213 ideals in 2000000 cliques
  90. Fri Aug 18 10:50:45 2023 commencing in-memory singleton removal
  91. Fri Aug 18 10:50:49 2023 begin with 30489318 relations and 27280413 unique ideals
  92. Fri Aug 18 10:51:10 2023 reduce to 30124927 relations and 23805198 ideals in 7 passes
  93. Fri Aug 18 10:51:10 2023 max relations containing the same ideal: 109
  94. Fri Aug 18 10:51:31 2023 removing 5052033 relations and 3052033 ideals in 2000000 cliques
  95. Fri Aug 18 10:51:34 2023 commencing in-memory singleton removal
  96. Fri Aug 18 10:51:37 2023 begin with 25072894 relations and 23805198 unique ideals
  97. Fri Aug 18 10:51:55 2023 reduce to 24668687 relations and 20327605 ideals in 6 passes
  98. Fri Aug 18 10:51:55 2023 max relations containing the same ideal: 98
  99. Fri Aug 18 10:52:11 2023 removing 5007040 relations and 3007040 ideals in 2000000 cliques
  100. Fri Aug 18 10:52:15 2023 commencing in-memory singleton removal
  101. Fri Aug 18 10:52:17 2023 begin with 19661647 relations and 20327605 unique ideals
  102. Fri Aug 18 10:52:38 2023 reduce to 19190242 relations and 16819043 ideals in 8 passes
  103. Fri Aug 18 10:52:38 2023 max relations containing the same ideal: 81
  104. Fri Aug 18 10:52:55 2023 removing 4667582 relations and 2798769 ideals in 1868813 cliques
  105. Fri Aug 18 10:52:57 2023 commencing in-memory singleton removal
  106. Fri Aug 18 10:52:59 2023 begin with 14522660 relations and 16819043 unique ideals
  107. Fri Aug 18 10:53:10 2023 reduce to 13959469 relations and 13413910 ideals in 8 passes
  108. Fri Aug 18 10:53:10 2023 max relations containing the same ideal: 66
  109. Fri Aug 18 10:53:23 2023 removing 213644 relations and 170471 ideals in 43173 cliques
  110. Fri Aug 18 10:53:24 2023 commencing in-memory singleton removal
  111. Fri Aug 18 10:53:26 2023 begin with 13745825 relations and 13413910 unique ideals
  112. Fri Aug 18 10:53:32 2023 reduce to 13742189 relations and 13239788 ideals in 4 passes
  113. Fri Aug 18 10:53:32 2023 max relations containing the same ideal: 66
  114. Fri Aug 18 10:53:36 2023 relations with 0 large ideals: 14995
  115. Fri Aug 18 10:53:36 2023 relations with 1 large ideals: 11090
  116. Fri Aug 18 10:53:36 2023 relations with 2 large ideals: 104450
  117. Fri Aug 18 10:53:36 2023 relations with 3 large ideals: 601010
  118. Fri Aug 18 10:53:36 2023 relations with 4 large ideals: 1830749
  119. Fri Aug 18 10:53:36 2023 relations with 5 large ideals: 3263252
  120. Fri Aug 18 10:53:36 2023 relations with 6 large ideals: 3610992
  121. Fri Aug 18 10:53:36 2023 relations with 7+ large ideals: 4305651
  122. Fri Aug 18 10:53:36 2023 commencing 2-way merge
  123. Fri Aug 18 10:53:50 2023 reduce to 9922614 relation sets and 9420213 unique ideals
  124. Fri Aug 18 10:53:50 2023 commencing full merge
  125. Fri Aug 18 11:00:14 2023 memory use: 1214.2 MB
  126. Fri Aug 18 11:00:16 2023 found 4397255 cycles, need 4380413
  127. Fri Aug 18 11:00:18 2023 weight of 4380413 cycles is about 526312579 (120.15/cycle)
  128. Fri Aug 18 11:00:18 2023 distribution of cycle lengths:
  129. Fri Aug 18 11:00:18 2023 1 relations: 97912
  130. Fri Aug 18 11:00:18 2023 2 relations: 211516
  131. Fri Aug 18 11:00:18 2023 3 relations: 292218
  132. Fri Aug 18 11:00:18 2023 4 relations: 330239
  133. Fri Aug 18 11:00:18 2023 5 relations: 357974
  134. Fri Aug 18 11:00:18 2023 6 relations: 361938
  135. Fri Aug 18 11:00:18 2023 7 relations: 351926
  136. Fri Aug 18 11:00:18 2023 8 relations: 331987
  137. Fri Aug 18 11:00:18 2023 9 relations: 303122
  138. Fri Aug 18 11:00:18 2023 10+ relations: 1741581
  139. Fri Aug 18 11:00:18 2023 heaviest cycle: 28 relations
  140. Fri Aug 18 11:00:20 2023 commencing cycle optimization
  141. Fri Aug 18 11:00:33 2023 start with 39750340 relations
  142. Fri Aug 18 11:03:12 2023 pruned 2341217 relations
  143. Fri Aug 18 11:03:12 2023 memory use: 981.7 MB
  144. Fri Aug 18 11:03:12 2023 distribution of cycle lengths:
  145. Fri Aug 18 11:03:12 2023 1 relations: 97912
  146. Fri Aug 18 11:03:12 2023 2 relations: 218118
  147. Fri Aug 18 11:03:12 2023 3 relations: 307259
  148. Fri Aug 18 11:03:12 2023 4 relations: 349530
  149. Fri Aug 18 11:03:12 2023 5 relations: 383056
  150. Fri Aug 18 11:03:12 2023 6 relations: 385954
  151. Fri Aug 18 11:03:12 2023 7 relations: 377440
  152. Fri Aug 18 11:03:12 2023 8 relations: 352434
  153. Fri Aug 18 11:03:12 2023 9 relations: 320084
  154. Fri Aug 18 11:03:12 2023 10+ relations: 1588626
  155. Fri Aug 18 11:03:12 2023 heaviest cycle: 28 relations
  156. Fri Aug 18 11:03:26 2023 RelProcTime: 4779
  157. Fri Aug 18 11:03:26 2023 elapsed time 01:19:40
  158. Fri Aug 18 12:13:26 2023
  159. Fri Aug 18 12:13:26 2023
  160. Fri Aug 18 12:13:26 2023 Msieve v. 1.54 (SVN Unversioned directory)
  161. Fri Aug 18 12:13:26 2023 random seeds: f52835e1 ef7ad0b7
  162. Fri Aug 18 12:13:26 2023 factoring 2417339138888695338521199543090682525866880483656455530151695094088184475093643446619977988863667342537705815305010470411266728484026737765045802742939413993704665989443828883307443208431005177782915137 (202 digits)
  163. Fri Aug 18 12:13:27 2023 no P-1/P+1/ECM available, skipping
  164. Fri Aug 18 12:13:27 2023 commencing number field sieve (202-digit input)
  165. Fri Aug 18 12:13:27 2023 R0: 516896312970904440917037960058970093
  166. Fri Aug 18 12:13:27 2023 R1: -1
  167. Fri Aug 18 12:13:27 2023 A0: -9293
  168. Fri Aug 18 12:13:27 2023 A1: 0
  169. Fri Aug 18 12:13:27 2023 A2: 0
  170. Fri Aug 18 12:13:27 2023 A3: 0
  171. Fri Aug 18 12:13:27 2023 A4: 0
  172. Fri Aug 18 12:13:27 2023 A5: 0
  173. Fri Aug 18 12:13:27 2023 A6: 1
  174. Fri Aug 18 12:13:27 2023 skew 4.59, size 4.539e-11, alpha 2.496, combined = 1.921e-12 rroots = 2
  175. Fri Aug 18 12:13:27 2023
  176. Fri Aug 18 12:13:27 2023 commencing linear algebra
  177. Fri Aug 18 12:13:27 2023 using VBITS=512
  178. Fri Aug 18 12:13:27 2023 read 4380413 cycles
  179. Fri Aug 18 12:13:35 2023 cycles contain 13521103 unique relations
  180. Fri Aug 18 12:14:47 2023 read 13521103 relations
  181. Fri Aug 18 12:15:10 2023 using 20 quadratic characters above 4294917295
  182. Fri Aug 18 12:16:04 2023 building initial matrix
  183. Fri Aug 18 12:18:50 2023 memory use: 1674.3 MB
  184. Fri Aug 18 12:18:51 2023 read 4380413 cycles
  185. Fri Aug 18 12:18:52 2023 matrix is 4380236 x 4380413 (2004.5 MB) with weight 568037491 (129.68/col)
  186. Fri Aug 18 12:18:52 2023 sparse part has weight 481666320 (109.96/col)
  187. Fri Aug 18 12:19:43 2023 filtering completed in 2 passes
  188. Fri Aug 18 12:19:44 2023 matrix is 4380160 x 4380322 (2004.5 MB) with weight 568035010 (129.68/col)
  189. Fri Aug 18 12:19:44 2023 sparse part has weight 481665579 (109.96/col)
  190. Fri Aug 18 12:19:55 2023 matrix starts at (0, 0)
  191. Fri Aug 18 12:19:55 2023 matrix is 4380160 x 4380322 (2004.5 MB) with weight 568035010 (129.68/col)
  192. Fri Aug 18 12:19:55 2023 sparse part has weight 481665579 (109.96/col)
  193. Fri Aug 18 12:19:55 2023 saving the first 496 matrix rows for later
  194. Fri Aug 18 12:19:56 2023 matrix includes 512 packed rows
  195. Fri Aug 18 12:19:59 2023 matrix is 4379664 x 4380322 (1873.1 MB) with weight 409599997 (93.51/col)
  196. Fri Aug 18 12:19:59 2023 sparse part has weight 385900540 (88.10/col)
  197. Fri Aug 18 12:19:59 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  198. Fri Aug 18 12:19:59 2023 selected card has CUDA arch 8.6
  199. Fri Aug 18 12:20:26 2023 commencing Lanczos iteration
  200. Fri Aug 18 12:20:26 2023 memory use: 5149.9 MB
  201. Fri Aug 18 12:20:42 2023 linear algebra at 0.4%, ETA 1h15m
  202. Fri Aug 18 12:20:43 2023 checkpointing every 3360000 dimensions
  203. Fri Aug 18 13:34:32 2023 lanczos halted after 8568 iterations (dim = 4379662)
  204. Fri Aug 18 13:35:33 2023 recovered 35 nontrivial dependencies
  205. Fri Aug 18 13:35:34 2023 BLanczosTime: 4927
  206. Fri Aug 18 13:35:34 2023
  207. Fri Aug 18 13:35:34 2023 commencing square root phase
  208. Fri Aug 18 13:35:34 2023 handling dependencies 1 to 64
  209. Fri Aug 18 13:35:34 2023 reading relations for dependency 1
  210. Fri Aug 18 13:35:34 2023 read 2189988 cycles
  211. Fri Aug 18 13:35:38 2023 cycles contain 6760802 unique relations
  212. Fri Aug 18 13:36:13 2023 read 6760802 relations
  213. Fri Aug 18 13:36:38 2023 multiplying 6760802 relations
  214. Fri Aug 18 13:39:56 2023 multiply complete, coefficients have about 171.48 million bits
  215. Fri Aug 18 13:39:56 2023 initial square root is modulo 1425733
  216. Fri Aug 18 13:43:32 2023 GCD is N, no factor found
  217. Fri Aug 18 13:43:32 2023 reading relations for dependency 2
  218. Fri Aug 18 13:43:32 2023 read 2190361 cycles
  219. Fri Aug 18 13:43:36 2023 cycles contain 6762622 unique relations
  220. Fri Aug 18 13:44:12 2023 read 6762622 relations
  221. Fri Aug 18 13:44:38 2023 multiplying 6762622 relations
  222. Fri Aug 18 13:47:55 2023 multiply complete, coefficients have about 171.52 million bits
  223. Fri Aug 18 13:47:55 2023 initial square root is modulo 1430617
  224. Fri Aug 18 13:51:31 2023 found factor: 812789136193630101998619081652103390552971874071299376879134107211332752244218221762296173
  225. Fri Aug 18 13:51:31 2023 reading relations for dependency 3
  226. Fri Aug 18 13:51:31 2023 read 2188176 cycles
  227. Fri Aug 18 13:51:35 2023 cycles contain 6757860 unique relations
  228. Fri Aug 18 13:52:11 2023 read 6757860 relations
  229. Fri Aug 18 13:52:37 2023 multiplying 6757860 relations
  230. Fri Aug 18 13:55:55 2023 multiply complete, coefficients have about 171.40 million bits
  231. Fri Aug 18 13:55:55 2023 initial square root is modulo 1416739
  232. Fri Aug 18 13:59:32 2023 found factor: 812789136193630101998619081652103390552971874071299376879134107211332752244218221762296173
  233. Fri Aug 18 13:59:32 2023 reading relations for dependency 4
  234. Fri Aug 18 13:59:32 2023 read 2189943 cycles
  235. Fri Aug 18 13:59:36 2023 cycles contain 6760168 unique relations
  236. Fri Aug 18 14:00:12 2023 read 6760168 relations
  237. Fri Aug 18 14:00:38 2023 multiplying 6760168 relations
  238. Fri Aug 18 14:03:55 2023 multiply complete, coefficients have about 171.45 million bits
  239. Fri Aug 18 14:03:56 2023 initial square root is modulo 1422637
  240. Fri Aug 18 14:07:30 2023 found factor: 812789136193630101998619081652103390552971874071299376879134107211332752244218221762296173
  241. Fri Aug 18 14:07:30 2023 reading relations for dependency 5
  242. Fri Aug 18 14:07:31 2023 read 2190984 cycles
  243. Fri Aug 18 14:07:35 2023 cycles contain 6764100 unique relations
  244. Fri Aug 18 14:08:11 2023 read 6764100 relations
  245. Fri Aug 18 14:08:37 2023 multiplying 6764100 relations
  246. Fri Aug 18 14:11:54 2023 multiply complete, coefficients have about 171.56 million bits
  247. Fri Aug 18 14:11:55 2023 initial square root is modulo 1435219
  248. Fri Aug 18 14:15:27 2023 sqrtTime: 2393
  249. Fri Aug 18 14:15:27 2023 p50 factor: 54228329617708229580441677476269365857282549267549
  250. Fri Aug 18 14:15:27 2023 p62 factor: 54844548603450687086168073857724743070032688019782911066351081
  251. Fri Aug 18 14:15:27 2023 p90 factor: 812789136193630101998619081652103390552971874071299376879134107211332752244218221762296173
  252. Fri Aug 18 14:15:27 2023 elapsed time 02:02:01
  253.  
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