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Mar 21st, 2021
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  1. Sat Mar 20 04:43:17 2021
  2. Sat Mar 20 04:43:17 2021
  3. Sat Mar 20 04:43:17 2021 Msieve v. 1.54 (SVN 1025)
  4. Sat Mar 20 04:43:17 2021 random seeds: 4c443838 6cefb9c4
  5. Sat Mar 20 04:43:17 2021 factoring 535843192774378161036188657128890057345353865603199894969632922256838329826323195333246795586045123108535771050462020172097830671641451894466964569561755477764095938129346944210925148449898586179332605282108615557 (213 digits)
  6. Sat Mar 20 04:43:18 2021 searching for 15-digit factors
  7. Sat Mar 20 04:43:19 2021 commencing number field sieve (213-digit input)
  8. Sat Mar 20 04:43:19 2021 R0: 100913820647592380852971721378050891087
  9. Sat Mar 20 04:43:19 2021 R1: -1
  10. Sat Mar 20 04:43:19 2021 A0: 1
  11. Sat Mar 20 04:43:19 2021 A1: 1
  12. Sat Mar 20 04:43:19 2021 A2: 1
  13. Sat Mar 20 04:43:19 2021 A3: 1
  14. Sat Mar 20 04:43:19 2021 A4: 1
  15. Sat Mar 20 04:43:19 2021 A5: 1
  16. Sat Mar 20 04:43:19 2021 A6: 1
  17. Sat Mar 20 04:43:19 2021 skew 1.00, size 2.695e-11, alpha 2.428, combined = 1.311e-12 rroots = 0
  18. Sat Mar 20 04:43:19 2021
  19. Sat Mar 20 04:43:19 2021 commencing relation filtering
  20. Sat Mar 20 04:43:19 2021 setting target matrix density to 120.0
  21. Sat Mar 20 04:43:19 2021 estimated available RAM is 15984.6 MB
  22. Sat Mar 20 04:43:19 2021 commencing duplicate removal, pass 1
  23. Sat Mar 20 04:54:36 2021 error -15 reading relation 92383218
  24. Sat Mar 20 04:56:11 2021 error -15 reading relation 104431572
  25. Sat Mar 20 04:57:58 2021 skipped 16 relations with b > 2^32
  26. Sat Mar 20 04:57:58 2021 skipped 2 relations with composite factors
  27. Sat Mar 20 04:57:58 2021 found 3023032 hash collisions in 114378832 relations
  28. Sat Mar 20 04:57:58 2021 commencing duplicate removal, pass 2
  29. Sat Mar 20 04:58:32 2021 found 89283 duplicates and 114289549 unique relations
  30. Sat Mar 20 04:58:32 2021 memory use: 381.2 MB
  31. Sat Mar 20 04:58:32 2021 reading ideals above 83951616
  32. Sat Mar 20 04:58:32 2021 commencing singleton removal, initial pass
  33. Sat Mar 20 05:10:29 2021 memory use: 2756.0 MB
  34. Sat Mar 20 05:10:29 2021 reading all ideals from disk
  35. Sat Mar 20 05:10:32 2021 memory use: 1917.8 MB
  36. Sat Mar 20 05:10:37 2021 commencing in-memory singleton removal
  37. Sat Mar 20 05:10:42 2021 begin with 114289549 relations and 84336555 unique ideals
  38. Sat Mar 20 05:11:22 2021 reduce to 84261748 relations and 51884251 ideals in 11 passes
  39. Sat Mar 20 05:11:22 2021 max relations containing the same ideal: 40
  40. Sat Mar 20 05:11:27 2021 reading ideals above 720000
  41. Sat Mar 20 05:11:27 2021 commencing singleton removal, initial pass
  42. Sat Mar 20 05:20:45 2021 memory use: 1506.0 MB
  43. Sat Mar 20 05:20:45 2021 reading all ideals from disk
  44. Sat Mar 20 05:20:53 2021 memory use: 3155.9 MB
  45. Sat Mar 20 05:21:01 2021 keeping 61222560 ideals with weight <= 200, target excess is 433963
  46. Sat Mar 20 05:21:09 2021 commencing in-memory singleton removal
  47. Sat Mar 20 05:21:16 2021 begin with 84261749 relations and 61222560 unique ideals
  48. Sat Mar 20 05:21:43 2021 reduce to 84261599 relations and 61222410 ideals in 4 passes
  49. Sat Mar 20 05:21:43 2021 max relations containing the same ideal: 200
  50. Sat Mar 20 05:22:17 2021 removing 7630393 relations and 5630393 ideals in 2000000 cliques
  51. Sat Mar 20 05:22:20 2021 commencing in-memory singleton removal
  52. Sat Mar 20 05:22:26 2021 begin with 76631206 relations and 61222410 unique ideals
  53. Sat Mar 20 05:23:13 2021 reduce to 76059442 relations and 55003448 ideals in 7 passes
  54. Sat Mar 20 05:23:13 2021 max relations containing the same ideal: 197
  55. Sat Mar 20 05:23:44 2021 removing 6214967 relations and 4214967 ideals in 2000000 cliques
  56. Sat Mar 20 05:23:46 2021 commencing in-memory singleton removal
  57. Sat Mar 20 05:23:52 2021 begin with 69844475 relations and 55003448 unique ideals
  58. Sat Mar 20 05:24:29 2021 reduce to 69450167 relations and 50383867 ideals in 6 passes
  59. Sat Mar 20 05:24:29 2021 max relations containing the same ideal: 185
  60. Sat Mar 20 05:24:58 2021 removing 5794749 relations and 3794749 ideals in 2000000 cliques
  61. Sat Mar 20 05:25:00 2021 commencing in-memory singleton removal
  62. Sat Mar 20 05:25:05 2021 begin with 63655418 relations and 50383867 unique ideals
  63. Sat Mar 20 05:25:42 2021 reduce to 63307920 relations and 46232432 ideals in 7 passes
  64. Sat Mar 20 05:25:42 2021 max relations containing the same ideal: 177
  65. Sat Mar 20 05:26:08 2021 removing 5576098 relations and 3576098 ideals in 2000000 cliques
  66. Sat Mar 20 05:26:10 2021 commencing in-memory singleton removal
  67. Sat Mar 20 05:26:15 2021 begin with 57731822 relations and 46232432 unique ideals
  68. Sat Mar 20 05:26:47 2021 reduce to 57400679 relations and 42315816 ideals in 7 passes
  69. Sat Mar 20 05:26:47 2021 max relations containing the same ideal: 165
  70. Sat Mar 20 05:27:06 2021 removing 5439754 relations and 3439754 ideals in 2000000 cliques
  71. Sat Mar 20 05:27:07 2021 commencing in-memory singleton removal
  72. Sat Mar 20 05:27:11 2021 begin with 51960925 relations and 42315816 unique ideals
  73. Sat Mar 20 05:27:31 2021 reduce to 51631939 relations and 38537041 ideals in 6 passes
  74. Sat Mar 20 05:27:31 2021 max relations containing the same ideal: 153
  75. Sat Mar 20 05:27:48 2021 removing 5348484 relations and 3348484 ideals in 2000000 cliques
  76. Sat Mar 20 05:27:50 2021 commencing in-memory singleton removal
  77. Sat Mar 20 05:27:53 2021 begin with 46283455 relations and 38537041 unique ideals
  78. Sat Mar 20 05:28:10 2021 reduce to 45946063 relations and 34839780 ideals in 6 passes
  79. Sat Mar 20 05:28:10 2021 max relations containing the same ideal: 144
  80. Sat Mar 20 05:28:25 2021 removing 5284635 relations and 3284635 ideals in 2000000 cliques
  81. Sat Mar 20 05:28:27 2021 commencing in-memory singleton removal
  82. Sat Mar 20 05:28:29 2021 begin with 40661428 relations and 34839780 unique ideals
  83. Sat Mar 20 05:28:47 2021 reduce to 40307856 relations and 31188500 ideals in 7 passes
  84. Sat Mar 20 05:28:47 2021 max relations containing the same ideal: 130
  85. Sat Mar 20 05:29:01 2021 removing 5238561 relations and 3238561 ideals in 2000000 cliques
  86. Sat Mar 20 05:29:03 2021 commencing in-memory singleton removal
  87. Sat Mar 20 05:29:05 2021 begin with 35069295 relations and 31188500 unique ideals
  88. Sat Mar 20 05:29:23 2021 reduce to 34688850 relations and 27553551 ideals in 7 passes
  89. Sat Mar 20 05:29:23 2021 max relations containing the same ideal: 119
  90. Sat Mar 20 05:29:36 2021 removing 5202485 relations and 3202485 ideals in 2000000 cliques
  91. Sat Mar 20 05:29:38 2021 commencing in-memory singleton removal
  92. Sat Mar 20 05:29:40 2021 begin with 29486365 relations and 27553551 unique ideals
  93. Sat Mar 20 05:29:54 2021 reduce to 29065775 relations and 23910751 ideals in 7 passes
  94. Sat Mar 20 05:29:54 2021 max relations containing the same ideal: 102
  95. Sat Mar 20 05:30:05 2021 removing 5170348 relations and 3170348 ideals in 2000000 cliques
  96. Sat Mar 20 05:30:07 2021 commencing in-memory singleton removal
  97. Sat Mar 20 05:30:08 2021 begin with 23895427 relations and 23910751 unique ideals
  98. Sat Mar 20 05:30:19 2021 reduce to 23417573 relations and 20235995 ideals in 7 passes
  99. Sat Mar 20 05:30:19 2021 max relations containing the same ideal: 87
  100. Sat Mar 20 05:30:28 2021 removing 5132154 relations and 3132154 ideals in 2000000 cliques
  101. Sat Mar 20 05:30:30 2021 commencing in-memory singleton removal
  102. Sat Mar 20 05:30:31 2021 begin with 18285419 relations and 20235995 unique ideals
  103. Sat Mar 20 05:30:42 2021 reduce to 17697564 relations and 16475221 ideals in 8 passes
  104. Sat Mar 20 05:30:42 2021 max relations containing the same ideal: 75
  105. Sat Mar 20 05:30:49 2021 removing 2160540 relations and 1441595 ideals in 718945 cliques
  106. Sat Mar 20 05:30:50 2021 commencing in-memory singleton removal
  107. Sat Mar 20 05:30:51 2021 begin with 15537024 relations and 16475221 unique ideals
  108. Sat Mar 20 05:31:00 2021 reduce to 15310714 relations and 14798395 ideals in 9 passes
  109. Sat Mar 20 05:31:00 2021 max relations containing the same ideal: 67
  110. Sat Mar 20 05:31:06 2021 removing 50693 relations and 41772 ideals in 8921 cliques
  111. Sat Mar 20 05:31:07 2021 commencing in-memory singleton removal
  112. Sat Mar 20 05:31:08 2021 begin with 15260021 relations and 14798395 unique ideals
  113. Sat Mar 20 05:31:13 2021 reduce to 15259848 relations and 14756450 ideals in 4 passes
  114. Sat Mar 20 05:31:13 2021 max relations containing the same ideal: 67
  115. Sat Mar 20 05:31:15 2021 relations with 0 large ideals: 32507
  116. Sat Mar 20 05:31:15 2021 relations with 1 large ideals: 9591
  117. Sat Mar 20 05:31:15 2021 relations with 2 large ideals: 91642
  118. Sat Mar 20 05:31:15 2021 relations with 3 large ideals: 550583
  119. Sat Mar 20 05:31:15 2021 relations with 4 large ideals: 1782334
  120. Sat Mar 20 05:31:15 2021 relations with 5 large ideals: 3392794
  121. Sat Mar 20 05:31:15 2021 relations with 6 large ideals: 4015754
  122. Sat Mar 20 05:31:15 2021 relations with 7+ large ideals: 5384643
  123. Sat Mar 20 05:31:15 2021 commencing 2-way merge
  124. Sat Mar 20 05:31:23 2021 reduce to 10760820 relation sets and 10257422 unique ideals
  125. Sat Mar 20 05:31:23 2021 commencing full merge
  126. Sat Mar 20 05:35:19 2021 memory use: 1403.4 MB
  127. Sat Mar 20 05:35:20 2021 found 4798960 cycles, need 4787622
  128. Sat Mar 20 05:35:22 2021 weight of 4787622 cycles is about 575307724 (120.17/cycle)
  129. Sat Mar 20 05:35:22 2021 distribution of cycle lengths:
  130. Sat Mar 20 05:35:22 2021 1 relations: 135762
  131. Sat Mar 20 05:35:22 2021 2 relations: 222650
  132. Sat Mar 20 05:35:22 2021 3 relations: 295623
  133. Sat Mar 20 05:35:22 2021 4 relations: 329757
  134. Sat Mar 20 05:35:22 2021 5 relations: 354842
  135. Sat Mar 20 05:35:22 2021 6 relations: 362849
  136. Sat Mar 20 05:35:22 2021 7 relations: 360985
  137. Sat Mar 20 05:35:22 2021 8 relations: 348301
  138. Sat Mar 20 05:35:22 2021 9 relations: 327572
  139. Sat Mar 20 05:35:22 2021 10+ relations: 2049281
  140. Sat Mar 20 05:35:22 2021 heaviest cycle: 28 relations
  141. Sat Mar 20 05:35:23 2021 commencing cycle optimization
  142. Sat Mar 20 05:35:33 2021 start with 44910179 relations
  143. Sat Mar 20 05:37:13 2021 pruned 2558093 relations
  144. Sat Mar 20 05:37:13 2021 memory use: 1098.4 MB
  145. Sat Mar 20 05:37:13 2021 distribution of cycle lengths:
  146. Sat Mar 20 05:37:13 2021 1 relations: 135762
  147. Sat Mar 20 05:37:13 2021 2 relations: 228508
  148. Sat Mar 20 05:37:13 2021 3 relations: 309138
  149. Sat Mar 20 05:37:13 2021 4 relations: 346221
  150. Sat Mar 20 05:37:13 2021 5 relations: 376986
  151. Sat Mar 20 05:37:13 2021 6 relations: 386137
  152. Sat Mar 20 05:37:13 2021 7 relations: 386443
  153. Sat Mar 20 05:37:13 2021 8 relations: 370814
  154. Sat Mar 20 05:37:13 2021 9 relations: 348877
  155. Sat Mar 20 05:37:13 2021 10+ relations: 1898736
  156. Sat Mar 20 05:37:13 2021 heaviest cycle: 28 relations
  157. Sat Mar 20 05:37:21 2021 RelProcTime: 3242
  158. Sat Mar 20 05:37:21 2021
  159. Sat Mar 20 05:37:21 2021 commencing linear algebra
  160. Sat Mar 20 05:37:22 2021 read 4787622 cycles
  161. Sat Mar 20 05:37:32 2021 cycles contain 15040560 unique relations
  162. Sat Mar 20 05:39:14 2021 read 15040560 relations
  163. Sat Mar 20 05:39:41 2021 using 20 quadratic characters above 4294917295
  164. Sat Mar 20 05:40:33 2021 building initial matrix
  165. Sat Mar 20 05:42:51 2021 memory use: 1861.0 MB
  166. Sat Mar 20 05:42:53 2021 read 4787622 cycles
  167. Sat Mar 20 05:42:54 2021 matrix is 4787445 x 4787622 (2223.0 MB) with weight 632974909 (132.21/col)
  168. Sat Mar 20 05:42:54 2021 sparse part has weight 530075819 (110.72/col)
  169. Sat Mar 20 05:43:40 2021 filtering completed in 2 passes
  170. Sat Mar 20 05:43:41 2021 matrix is 4787396 x 4787573 (2223.0 MB) with weight 632973303 (132.21/col)
  171. Sat Mar 20 05:43:41 2021 sparse part has weight 530075265 (110.72/col)
  172. Sat Mar 20 05:43:49 2021 matrix starts at (0, 0)
  173. Sat Mar 20 05:43:50 2021 matrix is 4787396 x 4787573 (2223.0 MB) with weight 632973303 (132.21/col)
  174. Sat Mar 20 05:43:50 2021 sparse part has weight 530075265 (110.72/col)
  175. Sat Mar 20 05:43:50 2021 saving the first 48 matrix rows for later
  176. Sat Mar 20 05:43:51 2021 matrix includes 64 packed rows
  177. Sat Mar 20 05:43:52 2021 matrix is 4787348 x 4787573 (2125.5 MB) with weight 545696594 (113.98/col)
  178. Sat Mar 20 05:43:52 2021 sparse part has weight 509318971 (106.38/col)
  179. Sat Mar 20 05:43:52 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  180. Sat Mar 20 05:44:08 2021 commencing Lanczos iteration (3 threads)
  181. Sat Mar 20 05:44:08 2021 memory use: 2017.5 MB
  182. Sat Mar 20 05:44:27 2021 linear algebra at 0.0%, ETA 16h35m
  183. Sat Mar 20 05:44:33 2021 checkpointing every 300000 dimensions
  184. Sat Mar 20 20:46:37 2021
  185. Sat Mar 20 20:46:37 2021
  186. Sat Mar 20 20:46:37 2021 Msieve v. 1.54 (SVN 1025)
  187. Sat Mar 20 20:46:37 2021 random seeds: 549d1295 0b973ad2
  188. Sat Mar 20 20:46:37 2021 factoring 535843192774378161036188657128890057345353865603199894969632922256838329826323195333246795586045123108535771050462020172097830671641451894466964569561755477764095938129346944210925148449898586179332605282108615557 (213 digits)
  189. Sat Mar 20 20:46:38 2021 searching for 15-digit factors
  190. Sat Mar 20 20:46:38 2021 commencing number field sieve (213-digit input)
  191. Sat Mar 20 20:46:38 2021 R0: 100913820647592380852971721378050891087
  192. Sat Mar 20 20:46:38 2021 R1: -1
  193. Sat Mar 20 20:46:38 2021 A0: 1
  194. Sat Mar 20 20:46:38 2021 A1: 1
  195. Sat Mar 20 20:46:38 2021 A2: 1
  196. Sat Mar 20 20:46:38 2021 A3: 1
  197. Sat Mar 20 20:46:38 2021 A4: 1
  198. Sat Mar 20 20:46:38 2021 A5: 1
  199. Sat Mar 20 20:46:38 2021 A6: 1
  200. Sat Mar 20 20:46:38 2021 skew 1.00, size 2.695e-11, alpha 2.428, combined = 1.311e-12 rroots = 0
  201. Sat Mar 20 20:46:38 2021
  202. Sat Mar 20 20:46:38 2021 commencing linear algebra
  203. Sat Mar 20 20:47:03 2021
  204. Sat Mar 20 20:47:03 2021
  205. Sat Mar 20 20:47:03 2021 Msieve v. 1.54 (SVN 1025)
  206. Sat Mar 20 20:47:03 2021 random seeds: 88d2c831 82ca7f17
  207. Sat Mar 20 20:47:03 2021 factoring 535843192774378161036188657128890057345353865603199894969632922256838329826323195333246795586045123108535771050462020172097830671641451894466964569561755477764095938129346944210925148449898586179332605282108615557 (213 digits)
  208. Sat Mar 20 20:47:04 2021 searching for 15-digit factors
  209. Sat Mar 20 20:47:05 2021 commencing number field sieve (213-digit input)
  210. Sat Mar 20 20:47:05 2021 R0: 100913820647592380852971721378050891087
  211. Sat Mar 20 20:47:05 2021 R1: -1
  212. Sat Mar 20 20:47:05 2021 A0: 1
  213. Sat Mar 20 20:47:05 2021 A1: 1
  214. Sat Mar 20 20:47:05 2021 A2: 1
  215. Sat Mar 20 20:47:05 2021 A3: 1
  216. Sat Mar 20 20:47:05 2021 A4: 1
  217. Sat Mar 20 20:47:05 2021 A5: 1
  218. Sat Mar 20 20:47:05 2021 A6: 1
  219. Sat Mar 20 20:47:05 2021 skew 1.00, size 2.695e-11, alpha 2.428, combined = 1.311e-12 rroots = 0
  220. Sat Mar 20 20:47:05 2021
  221. Sat Mar 20 20:47:05 2021 commencing linear algebra
  222. Sat Mar 20 20:47:05 2021 skipping matrix build
  223. Sat Mar 20 20:47:07 2021 matrix starts at (0, 0)
  224. Sat Mar 20 20:47:07 2021 matrix is 4787396 x 4787573 (2223.0 MB) with weight 632973303 (132.21/col)
  225. Sat Mar 20 20:47:07 2021 sparse part has weight 530075265 (110.72/col)
  226. Sat Mar 20 20:47:07 2021 saving the first 48 matrix rows for later
  227. Sat Mar 20 20:47:08 2021 matrix includes 64 packed rows
  228. Sat Mar 20 20:47:09 2021 matrix is 4787348 x 4787573 (2125.5 MB) with weight 545696594 (113.98/col)
  229. Sat Mar 20 20:47:09 2021 sparse part has weight 509318971 (106.38/col)
  230. Sat Mar 20 20:47:09 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  231. Sat Mar 20 20:47:24 2021 commencing Lanczos iteration (3 threads)
  232. Sat Mar 20 20:47:24 2021 memory use: 2017.5 MB
  233. Sat Mar 20 20:47:24 2021 restarting at iteration 47442 (dim = 3000056)
  234. Sat Mar 20 20:47:41 2021 linear algebra at 62.7%, ETA 5h32m
  235. Sat Mar 20 20:47:46 2021 checkpointing every 330000 dimensions
  236. Sun Mar 21 02:09:01 2021 lanczos halted after 75706 iterations (dim = 4787346)
  237. Sun Mar 21 02:09:08 2021 recovered 37 nontrivial dependencies
  238. Sun Mar 21 02:09:08 2021 BLanczosTime: 19323
  239. Sun Mar 21 02:09:08 2021
  240. Sun Mar 21 02:09:08 2021 commencing square root phase
  241. Sun Mar 21 02:09:08 2021 handling dependencies 1 to 64
  242. Sun Mar 21 02:09:08 2021 reading relations for dependency 1
  243. Sun Mar 21 02:09:08 2021 read 2393381 cycles
  244. Sun Mar 21 02:09:11 2021 cycles contain 7522328 unique relations
  245. Sun Mar 21 02:09:56 2021 read 7522328 relations
  246. Sun Mar 21 02:10:19 2021 multiplying 7522328 relations
  247. Sun Mar 21 02:13:45 2021 multiply complete, coefficients have about 183.55 million bits
  248. Sun Mar 21 02:13:46 2021 initial square root is modulo 3866033
  249. Sun Mar 21 02:17:37 2021 sqrtTime: 509
  250. Sun Mar 21 02:17:37 2021 p64 factor: 1845914286666240345152355461832424698793610885271617575900490239
  251. Sun Mar 21 02:17:37 2021 p150 factor: 290286064009029438519603143452144501212115407938869534810790947507146257198661154408393983251802290878172863909459992041516727020223338952772833149563
  252. Sun Mar 21 02:17:37 2021 elapsed time 05:30:34
  253.  
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