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  1. Tue Sep 29 08:09:35 2020
  2. Tue Sep 29 08:09:35 2020 Msieve v. 1.54 (SVN 1025)
  3. Tue Sep 29 08:09:35 2020 random seeds: 1020b9e5 6ef238af
  4. Tue Sep 29 08:09:35 2020 factoring 120022126957597320333159139744749404373249697036952220381427694377455743982586488845453342973632927519924916431246372481337729424921899953831789484868842237453739032873223269277598731643098113494097 (198 digits)
  5. Tue Sep 29 08:09:36 2020 searching for 15-digit factors
  6. Tue Sep 29 08:09:36 2020 commencing number field sieve (198-digit input)
  7. Tue Sep 29 08:09:36 2020 R0: 3264415921067916092024692109591027749531
  8. Tue Sep 29 08:09:36 2020 R1: -1
  9. Tue Sep 29 08:09:36 2020 A0: -24571
  10. Tue Sep 29 08:09:36 2020 A1: 0
  11. Tue Sep 29 08:09:36 2020 A2: 0
  12. Tue Sep 29 08:09:36 2020 A3: 0
  13. Tue Sep 29 08:09:36 2020 A4: 0
  14. Tue Sep 29 08:09:36 2020 A5: 0
  15. Tue Sep 29 08:09:36 2020 A6: 1
  16. Tue Sep 29 08:09:36 2020 skew 5.39, size 9.675e-12, alpha -1.250, combined = 6.256e-13 rroots = 2
  17. Tue Sep 29 08:09:36 2020
  18. Tue Sep 29 08:09:36 2020 commencing relation filtering
  19. Tue Sep 29 08:09:36 2020 setting target matrix density to 132.0
  20. Tue Sep 29 08:09:36 2020 estimated available RAM is 16007.4 MB
  21. Tue Sep 29 08:09:36 2020 commencing duplicate removal, pass 1
  22. Tue Sep 29 08:11:18 2020 error -15 reading relation 11197507
  23. Tue Sep 29 08:11:18 2020 error -15 reading relation 11197581
  24. Tue Sep 29 08:11:18 2020 error -11 reading relation 11197663
  25. Tue Sep 29 08:11:18 2020 error -11 reading relation 11197698
  26. Tue Sep 29 08:11:18 2020 error -15 reading relation 11198437
  27. Tue Sep 29 08:11:18 2020 error -11 reading relation 11198610
  28. Tue Sep 29 08:11:18 2020 error -15 reading relation 11198822
  29. Tue Sep 29 08:11:18 2020 error -11 reading relation 11199029
  30. Tue Sep 29 08:11:18 2020 error -11 reading relation 11199360
  31. Tue Sep 29 08:11:18 2020 error -11 reading relation 11199361
  32. Tue Sep 29 08:11:18 2020 error -15 reading relation 11199579
  33. Tue Sep 29 08:11:18 2020 error -11 reading relation 11199858
  34. Tue Sep 29 08:11:18 2020 error -15 reading relation 11199932
  35. Tue Sep 29 08:11:18 2020 error -11 reading relation 11200066
  36. Tue Sep 29 08:11:18 2020 error -11 reading relation 11250434
  37. Tue Sep 29 08:11:18 2020 error -15 reading relation 11250769
  38. Tue Sep 29 08:11:18 2020 error -15 reading relation 11250841
  39. Tue Sep 29 08:11:18 2020 error -1 reading relation 11251076
  40. Tue Sep 29 08:11:18 2020 error -11 reading relation 11251149
  41. Tue Sep 29 08:11:19 2020 error -6 reading relation 11266055
  42. Tue Sep 29 08:11:19 2020 error -11 reading relation 11266200
  43. Tue Sep 29 08:11:19 2020 error -11 reading relation 11266275
  44. Tue Sep 29 08:11:19 2020 error -11 reading relation 11266370
  45. Tue Sep 29 08:11:19 2020 error -11 reading relation 11266440
  46. Tue Sep 29 08:11:19 2020 error -11 reading relation 11267114
  47. Tue Sep 29 08:11:19 2020 error -11 reading relation 11267349
  48. Tue Sep 29 08:11:19 2020 error -15 reading relation 11267822
  49. Tue Sep 29 08:11:19 2020 error -15 reading relation 11267859
  50. Tue Sep 29 08:11:19 2020 error -15 reading relation 11267932
  51. Tue Sep 29 08:11:19 2020 error -11 reading relation 11267971
  52. Tue Sep 29 08:11:19 2020 error -11 reading relation 11268079
  53. Tue Sep 29 08:11:19 2020 error -1 reading relation 11268266
  54. Tue Sep 29 08:11:19 2020 error -6 reading relation 11268397
  55. Tue Sep 29 08:11:19 2020 error -15 reading relation 11268433
  56. Tue Sep 29 08:11:19 2020 error -15 reading relation 11268615
  57. Tue Sep 29 08:11:19 2020 error -15 reading relation 11268935
  58. Tue Sep 29 08:11:19 2020 error -11 reading relation 11269284
  59. Tue Sep 29 08:11:19 2020 error -1 reading relation 11269360
  60. Tue Sep 29 08:11:19 2020 error -11 reading relation 11269471
  61. Tue Sep 29 08:11:19 2020 error -1 reading relation 11269510
  62. Tue Sep 29 08:11:19 2020 error -15 reading relation 11269836
  63. Tue Sep 29 08:11:19 2020 error -11 reading relation 11270013
  64. Tue Sep 29 08:11:19 2020 error -11 reading relation 11270210
  65. Tue Sep 29 08:11:19 2020 error -11 reading relation 11270529
  66. Tue Sep 29 08:11:19 2020 error -15 reading relation 11270676
  67. Tue Sep 29 08:11:19 2020 error -15 reading relation 11270923
  68. Tue Sep 29 08:11:19 2020 error -11 reading relation 11271117
  69. Tue Sep 29 08:11:19 2020 error -11 reading relation 11271190
  70. Tue Sep 29 08:11:19 2020 error -15 reading relation 11271263
  71. Tue Sep 29 08:11:19 2020 error -15 reading relation 11271370
  72. Tue Sep 29 08:21:14 2020 error -1 reading relation 91773935
  73. Tue Sep 29 08:23:46 2020 skipped 5 relations with b > 2^32
  74. Tue Sep 29 08:23:46 2020 skipped 36 relations with composite factors
  75. Tue Sep 29 08:23:46 2020 found 5463357 hash collisions in 111737996 relations
  76. Tue Sep 29 08:23:58 2020 commencing duplicate removal, pass 2
  77. Tue Sep 29 08:24:48 2020 found 42761 duplicates and 111695235 unique relations
  78. Tue Sep 29 08:24:48 2020 memory use: 378.4 MB
  79. Tue Sep 29 08:24:48 2020 reading ideals above 77922304
  80. Tue Sep 29 08:24:48 2020 commencing singleton removal, initial pass
  81. Tue Sep 29 08:36:53 2020 memory use: 2756.0 MB
  82. Tue Sep 29 08:36:53 2020 reading all ideals from disk
  83. Tue Sep 29 08:36:55 2020 memory use: 1896.3 MB
  84. Tue Sep 29 08:36:59 2020 commencing in-memory singleton removal
  85. Tue Sep 29 08:37:04 2020 begin with 111695235 relations and 83522368 unique ideals
  86. Tue Sep 29 08:37:51 2020 reduce to 81856917 relations and 51443366 ideals in 11 passes
  87. Tue Sep 29 08:37:51 2020 max relations containing the same ideal: 50
  88. Tue Sep 29 08:37:56 2020 reading ideals above 720000
  89. Tue Sep 29 08:37:56 2020 commencing singleton removal, initial pass
  90. Tue Sep 29 08:49:22 2020 memory use: 1506.0 MB
  91. Tue Sep 29 08:49:22 2020 reading all ideals from disk
  92. Tue Sep 29 08:49:24 2020 memory use: 3168.1 MB
  93. Tue Sep 29 08:49:35 2020 keeping 60097894 ideals with weight <= 200, target excess is 453401
  94. Tue Sep 29 08:49:46 2020 commencing in-memory singleton removal
  95. Tue Sep 29 08:49:55 2020 begin with 81856917 relations and 60097894 unique ideals
  96. Tue Sep 29 08:50:45 2020 reduce to 81856409 relations and 60097386 ideals in 6 passes
  97. Tue Sep 29 08:50:45 2020 max relations containing the same ideal: 200
  98. Tue Sep 29 08:51:22 2020 removing 7538675 relations and 5538675 ideals in 2000000 cliques
  99. Tue Sep 29 08:51:25 2020 commencing in-memory singleton removal
  100. Tue Sep 29 08:51:32 2020 begin with 74317734 relations and 60097386 unique ideals
  101. Tue Sep 29 08:52:26 2020 reduce to 73763952 relations and 53988496 ideals in 7 passes
  102. Tue Sep 29 08:52:26 2020 max relations containing the same ideal: 195
  103. Tue Sep 29 08:53:01 2020 removing 6132043 relations and 4132043 ideals in 2000000 cliques
  104. Tue Sep 29 08:53:04 2020 commencing in-memory singleton removal
  105. Tue Sep 29 08:53:10 2020 begin with 67631909 relations and 53988496 unique ideals
  106. Tue Sep 29 08:53:52 2020 reduce to 67244663 relations and 49458729 ideals in 6 passes
  107. Tue Sep 29 08:53:52 2020 max relations containing the same ideal: 188
  108. Tue Sep 29 08:54:21 2020 removing 5743704 relations and 3743704 ideals in 2000000 cliques
  109. Tue Sep 29 08:54:23 2020 commencing in-memory singleton removal
  110. Tue Sep 29 08:54:30 2020 begin with 61500959 relations and 49458729 unique ideals
  111. Tue Sep 29 08:55:09 2020 reduce to 61156877 relations and 45361407 ideals in 6 passes
  112. Tue Sep 29 08:55:09 2020 max relations containing the same ideal: 178
  113. Tue Sep 29 08:55:39 2020 removing 5548777 relations and 3548777 ideals in 2000000 cliques
  114. Tue Sep 29 08:55:42 2020 commencing in-memory singleton removal
  115. Tue Sep 29 08:55:48 2020 begin with 55608100 relations and 45361407 unique ideals
  116. Tue Sep 29 08:56:25 2020 reduce to 55277550 relations and 41472469 ideals in 7 passes
  117. Tue Sep 29 08:56:25 2020 max relations containing the same ideal: 164
  118. Tue Sep 29 08:56:52 2020 removing 5429816 relations and 3429816 ideals in 2000000 cliques
  119. Tue Sep 29 08:56:54 2020 commencing in-memory singleton removal
  120. Tue Sep 29 08:56:59 2020 begin with 49847734 relations and 41472469 unique ideals
  121. Tue Sep 29 08:57:34 2020 reduce to 49513890 relations and 37698401 ideals in 7 passes
  122. Tue Sep 29 08:57:34 2020 max relations containing the same ideal: 152
  123. Tue Sep 29 08:57:56 2020 removing 5353235 relations and 3353235 ideals in 2000000 cliques
  124. Tue Sep 29 08:57:59 2020 commencing in-memory singleton removal
  125. Tue Sep 29 08:58:03 2020 begin with 44160655 relations and 37698401 unique ideals
  126. Tue Sep 29 08:58:31 2020 reduce to 43813921 relations and 33986475 ideals in 6 passes
  127. Tue Sep 29 08:58:31 2020 max relations containing the same ideal: 140
  128. Tue Sep 29 08:58:53 2020 removing 5306054 relations and 3306054 ideals in 2000000 cliques
  129. Tue Sep 29 08:58:55 2020 commencing in-memory singleton removal
  130. Tue Sep 29 08:58:58 2020 begin with 38507867 relations and 33986475 unique ideals
  131. Tue Sep 29 08:59:22 2020 reduce to 38135410 relations and 30293803 ideals in 6 passes
  132. Tue Sep 29 08:59:22 2020 max relations containing the same ideal: 127
  133. Tue Sep 29 08:59:39 2020 removing 5280983 relations and 3280983 ideals in 2000000 cliques
  134. Tue Sep 29 08:59:42 2020 commencing in-memory singleton removal
  135. Tue Sep 29 08:59:45 2020 begin with 32854427 relations and 30293803 unique ideals
  136. Tue Sep 29 09:00:11 2020 reduce to 32443927 relations and 26584850 ideals in 8 passes
  137. Tue Sep 29 09:00:11 2020 max relations containing the same ideal: 113
  138. Tue Sep 29 09:00:28 2020 removing 5268405 relations and 3268405 ideals in 2000000 cliques
  139. Tue Sep 29 09:00:30 2020 commencing in-memory singleton removal
  140. Tue Sep 29 09:00:32 2020 begin with 27175522 relations and 26584850 unique ideals
  141. Tue Sep 29 09:00:51 2020 reduce to 26711126 relations and 22829276 ideals in 7 passes
  142. Tue Sep 29 09:00:51 2020 max relations containing the same ideal: 99
  143. Tue Sep 29 09:01:04 2020 removing 5261508 relations and 3261508 ideals in 2000000 cliques
  144. Tue Sep 29 09:01:06 2020 commencing in-memory singleton removal
  145. Tue Sep 29 09:01:07 2020 begin with 21449618 relations and 22829276 unique ideals
  146. Tue Sep 29 09:01:23 2020 reduce to 20897646 relations and 18982290 ideals in 8 passes
  147. Tue Sep 29 09:01:23 2020 max relations containing the same ideal: 85
  148. Tue Sep 29 09:01:34 2020 removing 3851386 relations and 2461976 ideals in 1389410 cliques
  149. Tue Sep 29 09:01:35 2020 commencing in-memory singleton removal
  150. Tue Sep 29 09:01:37 2020 begin with 17046260 relations and 18982290 unique ideals
  151. Tue Sep 29 09:01:50 2020 reduce to 16611125 relations and 16060365 ideals in 8 passes
  152. Tue Sep 29 09:01:50 2020 max relations containing the same ideal: 75
  153. Tue Sep 29 09:01:59 2020 removing 133708 relations and 108894 ideals in 24814 cliques
  154. Tue Sep 29 09:02:00 2020 commencing in-memory singleton removal
  155. Tue Sep 29 09:02:02 2020 begin with 16477417 relations and 16060365 unique ideals
  156. Tue Sep 29 09:02:07 2020 reduce to 16476459 relations and 15950513 ideals in 4 passes
  157. Tue Sep 29 09:02:07 2020 max relations containing the same ideal: 75
  158. Tue Sep 29 09:02:11 2020 relations with 0 large ideals: 16523
  159. Tue Sep 29 09:02:11 2020 relations with 1 large ideals: 6347
  160. Tue Sep 29 09:02:11 2020 relations with 2 large ideals: 66454
  161. Tue Sep 29 09:02:11 2020 relations with 3 large ideals: 440128
  162. Tue Sep 29 09:02:11 2020 relations with 4 large ideals: 1567026
  163. Tue Sep 29 09:02:11 2020 relations with 5 large ideals: 3296240
  164. Tue Sep 29 09:02:11 2020 relations with 6 large ideals: 4337306
  165. Tue Sep 29 09:02:11 2020 relations with 7+ large ideals: 6746435
  166. Tue Sep 29 09:02:11 2020 commencing 2-way merge
  167. Tue Sep 29 09:02:22 2020 reduce to 11481322 relation sets and 10955376 unique ideals
  168. Tue Sep 29 09:02:22 2020 commencing full merge
  169. Tue Sep 29 09:07:32 2020 memory use: 1539.2 MB
  170. Tue Sep 29 09:07:34 2020 found 5096188 cycles, need 5093576
  171. Tue Sep 29 09:07:35 2020 weight of 5093576 cycles is about 672741173 (132.08/cycle)
  172. Tue Sep 29 09:07:35 2020 distribution of cycle lengths:
  173. Tue Sep 29 09:07:35 2020 1 relations: 106805
  174. Tue Sep 29 09:07:35 2020 2 relations: 214923
  175. Tue Sep 29 09:07:35 2020 3 relations: 295481
  176. Tue Sep 29 09:07:35 2020 4 relations: 337503
  177. Tue Sep 29 09:07:35 2020 5 relations: 368654
  178. Tue Sep 29 09:07:35 2020 6 relations: 380067
  179. Tue Sep 29 09:07:35 2020 7 relations: 382247
  180. Tue Sep 29 09:07:35 2020 8 relations: 369770
  181. Tue Sep 29 09:07:35 2020 9 relations: 352544
  182. Tue Sep 29 09:07:35 2020 10+ relations: 2285582
  183. Tue Sep 29 09:07:35 2020 heaviest cycle: 28 relations
  184. Tue Sep 29 09:07:37 2020 commencing cycle optimization
  185. Tue Sep 29 09:07:50 2020 start with 49465981 relations
  186. Tue Sep 29 09:10:00 2020 pruned 2952552 relations
  187. Tue Sep 29 09:10:00 2020 memory use: 1195.9 MB
  188. Tue Sep 29 09:10:00 2020 distribution of cycle lengths:
  189. Tue Sep 29 09:10:00 2020 1 relations: 106805
  190. Tue Sep 29 09:10:00 2020 2 relations: 221039
  191. Tue Sep 29 09:10:00 2020 3 relations: 309689
  192. Tue Sep 29 09:10:00 2020 4 relations: 355678
  193. Tue Sep 29 09:10:00 2020 5 relations: 393258
  194. Tue Sep 29 09:10:00 2020 6 relations: 406481
  195. Tue Sep 29 09:10:00 2020 7 relations: 410447
  196. Tue Sep 29 09:10:00 2020 8 relations: 396537
  197. Tue Sep 29 09:10:00 2020 9 relations: 376929
  198. Tue Sep 29 09:10:00 2020 10+ relations: 2116713
  199. Tue Sep 29 09:10:00 2020 heaviest cycle: 28 relations
  200. Tue Sep 29 09:10:12 2020 RelProcTime: 3636
  201. Tue Sep 29 12:46:50 2020
  202. Tue Sep 29 12:46:50 2020
  203. Tue Sep 29 12:46:50 2020 Msieve v. 1.54 (SVN 1025)
  204. Tue Sep 29 12:46:50 2020 random seeds: 6e023db3 c2f8f867
  205. Tue Sep 29 12:46:50 2020 factoring 120022126957597320333159139744749404373249697036952220381427694377455743982586488845453342973632927519924916431246372481337729424921899953831789484868842237453739032873223269277598731643098113494097 (198 digits)
  206. Tue Sep 29 12:46:51 2020 searching for 15-digit factors
  207. Tue Sep 29 12:46:51 2020 commencing number field sieve (198-digit input)
  208. Tue Sep 29 12:46:51 2020 R0: 3264415921067916092024692109591027749531
  209. Tue Sep 29 12:46:51 2020 R1: -1
  210. Tue Sep 29 12:46:51 2020 A0: -24571
  211. Tue Sep 29 12:46:51 2020 A1: 0
  212. Tue Sep 29 12:46:51 2020 A2: 0
  213. Tue Sep 29 12:46:51 2020 A3: 0
  214. Tue Sep 29 12:46:51 2020 A4: 0
  215. Tue Sep 29 12:46:51 2020 A5: 0
  216. Tue Sep 29 12:46:51 2020 A6: 1
  217. Tue Sep 29 12:46:51 2020 skew 5.39, size 9.675e-12, alpha -1.250, combined = 6.256e-13 rroots = 2
  218. Tue Sep 29 12:46:51 2020
  219. Tue Sep 29 12:46:51 2020 commencing linear algebra
  220. Tue Sep 29 12:46:52 2020 read 5093576 cycles
  221. Tue Sep 29 12:46:59 2020 cycles contain 16247099 unique relations
  222. Tue Sep 29 12:48:20 2020 read 16247099 relations
  223. Tue Sep 29 12:48:41 2020 using 20 quadratic characters above 4294917295
  224. Tue Sep 29 12:49:42 2020 building initial matrix
  225. Tue Sep 29 12:52:44 2020 memory use: 2136.7 MB
  226. Tue Sep 29 12:52:46 2020 read 5093576 cycles
  227. Tue Sep 29 12:52:47 2020 matrix is 5093399 x 5093576 (2560.0 MB) with weight 746671573 (146.59/col)
  228. Tue Sep 29 12:52:47 2020 sparse part has weight 615065348 (120.75/col)
  229. Tue Sep 29 12:53:56 2020 filtering completed in 2 passes
  230. Tue Sep 29 12:53:57 2020 matrix is 5093381 x 5093557 (2560.0 MB) with weight 746670410 (146.59/col)
  231. Tue Sep 29 12:53:57 2020 sparse part has weight 615064672 (120.75/col)
  232. Tue Sep 29 12:54:09 2020 matrix starts at (0, 0)
  233. Tue Sep 29 12:54:10 2020 matrix is 5093381 x 5093557 (2560.0 MB) with weight 746670410 (146.59/col)
  234. Tue Sep 29 12:54:10 2020 sparse part has weight 615064672 (120.75/col)
  235. Tue Sep 29 12:54:10 2020 saving the first 48 matrix rows for later
  236. Tue Sep 29 12:54:11 2020 matrix includes 64 packed rows
  237. Tue Sep 29 12:54:11 2020 matrix is 5093333 x 5093557 (2458.3 MB) with weight 640222165 (125.69/col)
  238. Tue Sep 29 12:54:11 2020 sparse part has weight 593504168 (116.52/col)
  239. Tue Sep 29 12:54:11 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  240. Tue Sep 29 12:54:27 2020 commencing Lanczos iteration (4 threads)
  241. Tue Sep 29 12:54:27 2020 memory use: 2324.4 MB
  242. Tue Sep 29 12:54:47 2020 linear algebra at 0.0%, ETA 18h36m
  243. Tue Sep 29 12:54:53 2020 checkpointing every 290000 dimensions
  244. Wed Sep 30 07:07:17 2020 lanczos halted after 80541 iterations (dim = 5093331)
  245. Wed Sep 30 07:07:21 2020 recovered 34 nontrivial dependencies
  246. Wed Sep 30 07:07:21 2020 BLanczosTime: 66030
  247. Wed Sep 30 07:07:21 2020
  248. Wed Sep 30 07:07:21 2020 commencing square root phase
  249. Wed Sep 30 07:07:21 2020 reading relations for dependency 1
  250. Wed Sep 30 07:07:22 2020 read 2546288 cycles
  251. Wed Sep 30 07:07:26 2020 cycles contain 8122990 unique relations
  252. Wed Sep 30 07:08:13 2020 read 8122990 relations
  253. Wed Sep 30 07:08:43 2020 multiplying 8122990 relations
  254. Wed Sep 30 07:13:09 2020 multiply complete, coefficients have about 215.35 million bits
  255. Wed Sep 30 07:13:10 2020 initial square root is modulo 53492113
  256. Wed Sep 30 07:18:14 2020 sqrtTime: 653
  257. Wed Sep 30 07:18:14 2020 p69 factor: 747959920136887643034088789010470661733528918600968871646703508804673
  258. Wed Sep 30 07:18:14 2020 p129 factor: 160465987182349970785371694598829568930536027954590849160194584876089531675928570463273856107918266082168555990844733996150633489
  259. Wed Sep 30 07:18:14 2020 elapsed time 18:31:24
  260.  
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