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Oct 5th, 2021
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  1. Fri Oct 1 10:13:54 2021
  2. Fri Oct 1 10:13:54 2021
  3. Fri Oct 1 10:13:54 2021 Msieve v. 1.54 (SVN 1043M)
  4. Fri Oct 1 10:13:54 2021 random seeds: be4a08d9 1f7303d4
  5. Fri Oct 1 10:13:54 2021 factoring 1715170483299747294812530758723778677899986774807368016104336354607592462307731196113401547975076888202050088420118579881716881930230008839282580549555608019870572017 (166 digits)
  6. Fri Oct 1 10:13:55 2021 searching for 15-digit factors
  7. Fri Oct 1 10:13:55 2021 commencing number field sieve (166-digit input)
  8. Fri Oct 1 10:13:55 2021 R0: -194159773603281063713214754761467
  9. Fri Oct 1 10:13:55 2021 R1: 2373429158633383
  10. Fri Oct 1 10:13:55 2021 A0: 272465262669369617674525454646027591417600
  11. Fri Oct 1 10:13:55 2021 A1: 23811493442483500545314408797313460
  12. Fri Oct 1 10:13:55 2021 A2: -4604008679588145385351610688
  13. Fri Oct 1 10:13:55 2021 A3: -320344549764879270173
  14. Fri Oct 1 10:13:55 2021 A4: 4466022956060
  15. Fri Oct 1 10:13:55 2021 A5: 6216
  16. Fri Oct 1 10:13:55 2021 skew 34935098.91, size 4.020e-16, alpha -7.976, combined = 6.441e-13 rroots = 5
  17. Fri Oct 1 10:13:55 2021
  18. Fri Oct 1 10:13:55 2021 commencing relation filtering
  19. Fri Oct 1 10:13:55 2021 setting target matrix density to 130.0
  20. Fri Oct 1 10:13:55 2021 estimated available RAM is 15745.0 MB
  21. Fri Oct 1 10:13:55 2021 commencing duplicate removal, pass 1
  22. Fri Oct 1 10:47:49 2021 skipped 39 relations with composite factors
  23. Fri Oct 1 10:47:49 2021 found 29280254 hash collisions in 126521679 relations
  24. Fri Oct 1 10:48:21 2021 added 122242 free relations
  25. Fri Oct 1 10:48:21 2021 commencing duplicate removal, pass 2
  26. Fri Oct 1 11:09:25 2021 found 30486401 duplicates and 96157520 unique relations
  27. Fri Oct 1 11:09:25 2021 memory use: 724.8 MB
  28. Fri Oct 1 11:09:25 2021 reading ideals above 111476736
  29. Fri Oct 1 11:09:25 2021 commencing singleton removal, initial pass
  30. Fri Oct 1 11:35:19 2021 memory use: 1506.0 MB
  31. Fri Oct 1 11:35:19 2021 reading all ideals from disk
  32. Fri Oct 1 11:35:57 2021 memory use: 1567.0 MB
  33. Fri Oct 1 11:36:01 2021 commencing in-memory singleton removal
  34. Fri Oct 1 11:36:05 2021 begin with 96157520 relations and 77820197 unique ideals
  35. Fri Oct 1 11:36:53 2021 reduce to 61022687 relations and 39004256 ideals in 14 passes
  36. Fri Oct 1 11:36:53 2021 max relations containing the same ideal: 33
  37. Fri Oct 1 11:36:56 2021 reading ideals above 720000
  38. Fri Oct 1 11:36:57 2021 commencing singleton removal, initial pass
  39. Fri Oct 1 11:59:30 2021 memory use: 1378.0 MB
  40. Fri Oct 1 11:59:30 2021 reading all ideals from disk
  41. Fri Oct 1 12:00:24 2021 memory use: 2307.2 MB
  42. Fri Oct 1 12:00:30 2021 keeping 51430120 ideals with weight <= 200, target excess is 324970
  43. Fri Oct 1 12:00:36 2021 commencing in-memory singleton removal
  44. Fri Oct 1 12:00:41 2021 begin with 61022687 relations and 51430120 unique ideals
  45. Fri Oct 1 12:01:55 2021 reduce to 60878426 relations and 51285803 ideals in 10 passes
  46. Fri Oct 1 12:01:55 2021 max relations containing the same ideal: 200
  47. Fri Oct 1 12:02:24 2021 removing 5667722 relations and 4667722 ideals in 1000000 cliques
  48. Fri Oct 1 12:02:27 2021 commencing in-memory singleton removal
  49. Fri Oct 1 12:02:32 2021 begin with 55210704 relations and 51285803 unique ideals
  50. Fri Oct 1 12:03:16 2021 reduce to 54836141 relations and 46236016 ideals in 8 passes
  51. Fri Oct 1 12:03:16 2021 max relations containing the same ideal: 195
  52. Fri Oct 1 12:03:43 2021 removing 4321037 relations and 3321037 ideals in 1000000 cliques
  53. Fri Oct 1 12:03:45 2021 commencing in-memory singleton removal
  54. Fri Oct 1 12:03:50 2021 begin with 50515104 relations and 46236016 unique ideals
  55. Fri Oct 1 12:04:43 2021 reduce to 50263059 relations and 42658285 ideals in 8 passes
  56. Fri Oct 1 12:04:43 2021 max relations containing the same ideal: 184
  57. Fri Oct 1 12:05:08 2021 removing 3909340 relations and 2909340 ideals in 1000000 cliques
  58. Fri Oct 1 12:05:11 2021 commencing in-memory singleton removal
  59. Fri Oct 1 12:05:15 2021 begin with 46353719 relations and 42658285 unique ideals
  60. Fri Oct 1 12:05:45 2021 reduce to 46130581 relations and 39521754 ideals in 7 passes
  61. Fri Oct 1 12:05:45 2021 max relations containing the same ideal: 176
  62. Fri Oct 1 12:06:07 2021 removing 3697669 relations and 2697669 ideals in 1000000 cliques
  63. Fri Oct 1 12:06:09 2021 commencing in-memory singleton removal
  64. Fri Oct 1 12:06:14 2021 begin with 42432912 relations and 39521754 unique ideals
  65. Fri Oct 1 12:06:56 2021 reduce to 42219589 relations and 36606700 ideals in 7 passes
  66. Fri Oct 1 12:06:56 2021 max relations containing the same ideal: 166
  67. Fri Oct 1 12:07:23 2021 removing 3568141 relations and 2568141 ideals in 1000000 cliques
  68. Fri Oct 1 12:07:26 2021 commencing in-memory singleton removal
  69. Fri Oct 1 12:07:30 2021 begin with 38651448 relations and 36606700 unique ideals
  70. Fri Oct 1 12:08:02 2021 reduce to 38440674 relations and 33823548 ideals in 7 passes
  71. Fri Oct 1 12:08:02 2021 max relations containing the same ideal: 158
  72. Fri Oct 1 12:08:20 2021 removing 3478999 relations and 2478999 ideals in 1000000 cliques
  73. Fri Oct 1 12:08:22 2021 commencing in-memory singleton removal
  74. Fri Oct 1 12:08:25 2021 begin with 34961675 relations and 33823548 unique ideals
  75. Fri Oct 1 12:08:48 2021 reduce to 34746059 relations and 31124118 ideals in 7 passes
  76. Fri Oct 1 12:08:48 2021 max relations containing the same ideal: 146
  77. Fri Oct 1 12:09:04 2021 removing 3418620 relations and 2418620 ideals in 1000000 cliques
  78. Fri Oct 1 12:09:06 2021 commencing in-memory singleton removal
  79. Fri Oct 1 12:09:08 2021 begin with 31327439 relations and 31124118 unique ideals
  80. Fri Oct 1 12:09:27 2021 reduce to 31101020 relations and 28473558 ideals in 7 passes
  81. Fri Oct 1 12:09:27 2021 max relations containing the same ideal: 141
  82. Fri Oct 1 12:09:42 2021 removing 3380298 relations and 2380298 ideals in 1000000 cliques
  83. Fri Oct 1 12:09:43 2021 commencing in-memory singleton removal
  84. Fri Oct 1 12:09:45 2021 begin with 27720722 relations and 28473558 unique ideals
  85. Fri Oct 1 12:10:02 2021 reduce to 27474713 relations and 25840726 ideals in 7 passes
  86. Fri Oct 1 12:10:02 2021 max relations containing the same ideal: 125
  87. Fri Oct 1 12:10:14 2021 removing 3360870 relations and 2360870 ideals in 1000000 cliques
  88. Fri Oct 1 12:10:16 2021 commencing in-memory singleton removal
  89. Fri Oct 1 12:10:18 2021 begin with 24113843 relations and 25840726 unique ideals
  90. Fri Oct 1 12:10:31 2021 reduce to 23833725 relations and 23191173 ideals in 7 passes
  91. Fri Oct 1 12:10:31 2021 max relations containing the same ideal: 114
  92. Fri Oct 1 12:10:42 2021 removing 1160457 relations and 894871 ideals in 265586 cliques
  93. Fri Oct 1 12:10:43 2021 commencing in-memory singleton removal
  94. Fri Oct 1 12:10:45 2021 begin with 22673268 relations and 23191173 unique ideals
  95. Fri Oct 1 12:10:55 2021 reduce to 22638044 relations and 22260731 ideals in 6 passes
  96. Fri Oct 1 12:10:55 2021 max relations containing the same ideal: 108
  97. Fri Oct 1 12:11:09 2021 relations with 0 large ideals: 1122
  98. Fri Oct 1 12:11:09 2021 relations with 1 large ideals: 2410
  99. Fri Oct 1 12:11:09 2021 relations with 2 large ideals: 39779
  100. Fri Oct 1 12:11:09 2021 relations with 3 large ideals: 319096
  101. Fri Oct 1 12:11:09 2021 relations with 4 large ideals: 1382130
  102. Fri Oct 1 12:11:09 2021 relations with 5 large ideals: 3576409
  103. Fri Oct 1 12:11:09 2021 relations with 6 large ideals: 5813667
  104. Fri Oct 1 12:11:09 2021 relations with 7+ large ideals: 11503431
  105. Fri Oct 1 12:11:09 2021 commencing 2-way merge
  106. Fri Oct 1 12:11:25 2021 reduce to 15197748 relation sets and 14820435 unique ideals
  107. Fri Oct 1 12:11:25 2021 commencing full merge
  108. Fri Oct 1 12:17:16 2021 memory use: 1879.1 MB
  109. Fri Oct 1 12:17:18 2021 found 6678023 cycles, need 6670635
  110. Fri Oct 1 12:17:20 2021 weight of 6670635 cycles is about 867615986 (130.06/cycle)
  111. Fri Oct 1 12:17:20 2021 distribution of cycle lengths:
  112. Fri Oct 1 12:17:20 2021 1 relations: 179676
  113. Fri Oct 1 12:17:20 2021 2 relations: 354443
  114. Fri Oct 1 12:17:20 2021 3 relations: 439414
  115. Fri Oct 1 12:17:20 2021 4 relations: 467516
  116. Fri Oct 1 12:17:20 2021 5 relations: 492892
  117. Fri Oct 1 12:17:20 2021 6 relations: 492219
  118. Fri Oct 1 12:17:20 2021 7 relations: 485477
  119. Fri Oct 1 12:17:20 2021 8 relations: 469261
  120. Fri Oct 1 12:17:20 2021 9 relations: 444019
  121. Fri Oct 1 12:17:20 2021 10+ relations: 2845718
  122. Fri Oct 1 12:17:20 2021 heaviest cycle: 28 relations
  123. Fri Oct 1 12:17:22 2021 commencing cycle optimization
  124. Fri Oct 1 12:17:37 2021 start with 61898019 relations
  125. Fri Oct 1 12:20:32 2021 pruned 3155246 relations
  126. Fri Oct 1 12:20:32 2021 memory use: 1582.1 MB
  127. Fri Oct 1 12:20:32 2021 distribution of cycle lengths:
  128. Fri Oct 1 12:20:32 2021 1 relations: 179676
  129. Fri Oct 1 12:20:32 2021 2 relations: 365412
  130. Fri Oct 1 12:20:32 2021 3 relations: 460949
  131. Fri Oct 1 12:20:32 2021 4 relations: 490288
  132. Fri Oct 1 12:20:32 2021 5 relations: 521008
  133. Fri Oct 1 12:20:32 2021 6 relations: 519157
  134. Fri Oct 1 12:20:32 2021 7 relations: 514515
  135. Fri Oct 1 12:20:32 2021 8 relations: 494297
  136. Fri Oct 1 12:20:32 2021 9 relations: 467411
  137. Fri Oct 1 12:20:32 2021 10+ relations: 2657922
  138. Fri Oct 1 12:20:32 2021 heaviest cycle: 28 relations
  139. Fri Oct 1 12:20:47 2021 RelProcTime: 7612
  140. Fri Oct 1 12:20:47 2021 elapsed time 02:06:53
  141. Fri Oct 1 23:47:03 2021
  142. Fri Oct 1 23:47:03 2021
  143. Fri Oct 1 23:47:03 2021 Msieve v. 1.52 (SVN exported)
  144. Fri Oct 1 23:47:03 2021 random seeds: b7a3cca8 380e94f9
  145. Fri Oct 1 23:47:03 2021 factoring 1715170483299747294812530758723778677899986774807368016104336354607592462307731196113401547975076888202050088420118579881716881930230008839282580549555608019870572017 (166 digits)
  146. Fri Oct 1 23:47:05 2021 searching for 15-digit factors
  147. Fri Oct 1 23:47:07 2021 commencing number field sieve (166-digit input)
  148. Fri Oct 1 23:47:07 2021 R0: -194159773603281063713214754761467
  149. Fri Oct 1 23:47:07 2021 R1: 2373429158633383
  150. Fri Oct 1 23:47:07 2021 A0: 272465262669369617674525454646027591417600
  151. Fri Oct 1 23:47:07 2021 A1: 23811493442483500545314408797313460
  152. Fri Oct 1 23:47:07 2021 A2: -4604008679588145385351610688
  153. Fri Oct 1 23:47:07 2021 A3: -320344549764879270173
  154. Fri Oct 1 23:47:07 2021 A4: 4466022956060
  155. Fri Oct 1 23:47:07 2021 A5: 6216
  156. Fri Oct 1 23:47:07 2021 skew 34935098.91, size 4.020e-16, alpha -7.976, combined = 6.441e-13 rroots = 5
  157. Fri Oct 1 23:47:07 2021
  158. Fri Oct 1 23:47:07 2021 commencing linear algebra
  159. Fri Oct 1 23:47:07 2021 skipping matrix build
  160. Fri Oct 1 23:47:29 2021 matrix starts at (0, 0)
  161. Fri Oct 1 23:47:33 2021 matrix is 6670428 x 6670607 (3346.4 MB) with weight 1016412775 (152.37/col)
  162. Fri Oct 1 23:47:33 2021 sparse part has weight 797201240 (119.51/col)
  163. Fri Oct 1 23:47:33 2021 saving the first 48 matrix rows for later
  164. Fri Oct 1 23:47:36 2021 matrix includes 64 packed rows
  165. Fri Oct 1 23:47:38 2021 matrix is 6670380 x 6670607 (3254.9 MB) with weight 876029272 (131.33/col)
  166. Fri Oct 1 23:47:38 2021 sparse part has weight 786551152 (117.91/col)
  167. Fri Oct 1 23:47:38 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  168. Fri Oct 1 23:48:41 2021 commencing Lanczos iteration (4 threads)
  169. Fri Oct 1 23:48:41 2021 memory use: 2701.6 MB
  170. Fri Oct 1 23:49:54 2021 linear algebra at 0.0%, ETA 85h28m
  171. Fri Oct 1 23:50:18 2021 checkpointing every 80000 dimensions
  172. Tue Oct 5 16:16:06 2021 lanczos halted after 105483 iterations (dim = 6670378)
  173. Tue Oct 5 16:16:18 2021 recovered 29 nontrivial dependencies
  174. Tue Oct 5 16:16:19 2021 BLanczosTime: 318552
  175. Tue Oct 5 16:16:19 2021 elapsed time 88:29:16
  176. Tue Oct 5 14:41:26 2021
  177. Tue Oct 5 14:41:26 2021
  178. Tue Oct 5 14:41:26 2021 Msieve v. 1.54 (SVN 1043M)
  179. Tue Oct 5 14:41:26 2021 random seeds: 7532c370 0c3f8c65
  180. Tue Oct 5 14:41:26 2021 factoring 1715170483299747294812530758723778677899986774807368016104336354607592462307731196113401547975076888202050088420118579881716881930230008839282580549555608019870572017 (166 digits)
  181. Tue Oct 5 14:41:27 2021 searching for 15-digit factors
  182. Tue Oct 5 14:41:27 2021 commencing number field sieve (166-digit input)
  183. Tue Oct 5 14:41:27 2021 R0: -194159773603281063713214754761467
  184. Tue Oct 5 14:41:27 2021 R1: 2373429158633383
  185. Tue Oct 5 14:41:27 2021 A0: 272465262669369617674525454646027591417600
  186. Tue Oct 5 14:41:27 2021 A1: 23811493442483500545314408797313460
  187. Tue Oct 5 14:41:27 2021 A2: -4604008679588145385351610688
  188. Tue Oct 5 14:41:27 2021 A3: -320344549764879270173
  189. Tue Oct 5 14:41:27 2021 A4: 4466022956060
  190. Tue Oct 5 14:41:27 2021 A5: 6216
  191. Tue Oct 5 14:41:27 2021 skew 34935098.91, size 4.020e-16, alpha -7.976, combined = 6.441e-13 rroots = 5
  192. Tue Oct 5 14:41:27 2021
  193. Tue Oct 5 14:41:27 2021 commencing square root phase
  194. Tue Oct 5 14:41:27 2021 reading relations for dependency 1
  195. Tue Oct 5 14:41:48 2021 read 3336088 cycles
  196. Tue Oct 5 14:41:56 2021 cycles contain 11226696 unique relations
  197. Tue Oct 5 15:00:20 2021 read 11226696 relations
  198. Tue Oct 5 15:01:26 2021 multiplying 11226696 relations
  199. Tue Oct 5 15:12:52 2021 multiply complete, coefficients have about 597.26 million bits
  200. Tue Oct 5 15:12:55 2021 initial square root is modulo 228211
  201. Tue Oct 5 15:26:58 2021 found factor: 115938579663037946948592790628656162868195914775833873049
  202. Tue Oct 5 15:26:58 2021 reading relations for dependency 2
  203. Tue Oct 5 15:26:59 2021 read 3333470 cycles
  204. Tue Oct 5 15:27:08 2021 cycles contain 11225784 unique relations
  205. Tue Oct 5 15:28:16 2021 read 11225784 relations
  206. Tue Oct 5 15:29:22 2021 multiplying 11225784 relations
  207. Tue Oct 5 15:40:43 2021 multiply complete, coefficients have about 597.21 million bits
  208. Tue Oct 5 15:40:46 2021 initial square root is modulo 228103
  209. Tue Oct 5 15:54:40 2021 GCD is N, no factor found
  210. Tue Oct 5 15:54:40 2021 reading relations for dependency 3
  211. Tue Oct 5 15:54:41 2021 read 3337608 cycles
  212. Tue Oct 5 15:54:49 2021 cycles contain 11229586 unique relations
  213. Tue Oct 5 15:56:01 2021 read 11229586 relations
  214. Tue Oct 5 15:57:01 2021 multiplying 11229586 relations
  215. Tue Oct 5 16:08:31 2021 multiply complete, coefficients have about 597.41 million bits
  216. Tue Oct 5 16:08:34 2021 initial square root is modulo 228929
  217. Tue Oct 5 16:22:34 2021 GCD is 1, no factor found
  218. Tue Oct 5 16:22:34 2021 reading relations for dependency 4
  219. Tue Oct 5 16:22:34 2021 read 3334613 cycles
  220. Tue Oct 5 16:22:42 2021 cycles contain 11226226 unique relations
  221. Tue Oct 5 16:23:48 2021 read 11226226 relations
  222. Tue Oct 5 16:24:49 2021 multiplying 11226226 relations
  223. Tue Oct 5 16:36:27 2021 multiply complete, coefficients have about 597.23 million bits
  224. Tue Oct 5 16:36:31 2021 initial square root is modulo 228103
  225. Tue Oct 5 16:50:32 2021 GCD is N, no factor found
  226. Tue Oct 5 16:50:32 2021 reading relations for dependency 5
  227. Tue Oct 5 16:50:33 2021 read 3334604 cycles
  228. Tue Oct 5 16:50:41 2021 cycles contain 11228272 unique relations
  229. Tue Oct 5 16:51:46 2021 read 11228272 relations
  230. Tue Oct 5 16:52:45 2021 multiplying 11228272 relations
  231. Tue Oct 5 17:04:16 2021 multiply complete, coefficients have about 597.33 million bits
  232. Tue Oct 5 17:04:19 2021 initial square root is modulo 228647
  233. Tue Oct 5 17:18:21 2021 sqrtTime: 9414
  234. Tue Oct 5 17:18:21 2021 p49 factor: 5344645882023761862003710601599000698849669374691
  235. Tue Oct 5 17:18:21 2021 p57 factor: 115938579663037946948592790628656162868195914775833873049
  236. Tue Oct 5 17:18:21 2021 p61 factor: 2767963652998672592847582213728130881202204332761017879934163
  237. Tue Oct 5 17:18:21 2021 elapsed time 02:36:55
  238.  
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