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Oct 26th, 2018
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  1. Tue Oct 23 12:01:09 2018
  2. Tue Oct 23 12:01:09 2018
  3. Tue Oct 23 12:01:09 2018 Msieve v. 1.53 (SVN 988M)
  4. Tue Oct 23 12:01:09 2018 random seeds: e2c1068e 6d1d89f1
  5. Tue Oct 23 12:01:09 2018 factoring 9050179345658295141709130029820389359683066942337584700674788581111005407674098001101778657771754346784885028677147188012157874937131397291231244641128035189904411223348200214425555138054174597 (193 digits)
  6. Tue Oct 23 12:01:09 2018 searching for 15-digit factors
  7. Tue Oct 23 12:01:10 2018 commencing number field sieve (193-digit input)
  8. Tue Oct 23 12:01:10 2018 R0: 969773729787523602876821942164080815560161
  9. Tue Oct 23 12:01:10 2018 R1: -309485009821345068724781056
  10. Tue Oct 23 12:01:10 2018 A0: 9
  11. Tue Oct 23 12:01:10 2018 A1: 0
  12. Tue Oct 23 12:01:10 2018 A2: 0
  13. Tue Oct 23 12:01:10 2018 A3: 0
  14. Tue Oct 23 12:01:10 2018 A4: 0
  15. Tue Oct 23 12:01:10 2018 A5: 0
  16. Tue Oct 23 12:01:10 2018 A6: 4
  17. Tue Oct 23 12:01:10 2018 skew 1.15, size 2.090e-12, alpha 0.552, combined = 2.009e-13 rroots = 0
  18. Tue Oct 23 12:01:10 2018
  19. Tue Oct 23 12:01:10 2018 commencing relation filtering
  20. Tue Oct 23 12:01:10 2018 setting target matrix density to 130.0
  21. Tue Oct 23 12:01:10 2018 estimated available RAM is 131072.0 MB
  22. Tue Oct 23 12:01:10 2018 commencing duplicate removal, pass 1
  23. Tue Oct 23 12:01:41 2018 error -15 reading relation 5139363
  24. ...
  25. Tue Oct 23 12:25:25 2018 error -9 reading relation 242003397
  26. Tue Oct 23 12:25:25 2018 skipped 135 relations with b > 2^32
  27. Tue Oct 23 12:25:25 2018 skipped 1272 relations with composite factors
  28. Tue Oct 23 12:25:25 2018 found 54443351 hash collisions in 242055365 relations
  29. Tue Oct 23 12:25:36 2018 added 1219066 free relations
  30. Tue Oct 23 12:25:36 2018 commencing duplicate removal, pass 2
  31. Tue Oct 23 12:28:52 2018 found 56985532 duplicates and 186288899 unique relations
  32. Tue Oct 23 12:28:52 2018 memory use: 1321.5 MB
  33. Tue Oct 23 12:28:53 2018 reading ideals above 720000
  34. Tue Oct 23 12:28:53 2018 commencing singleton removal, initial pass
  35. Tue Oct 23 12:47:49 2018 memory use: 5512.0 MB
  36. Tue Oct 23 12:47:49 2018 reading all ideals from disk
  37. Tue Oct 23 12:47:52 2018 memory use: 7420.9 MB
  38. Tue Oct 23 12:48:09 2018 keeping 174213098 ideals with weight <= 200, target excess is 961422
  39. Tue Oct 23 12:48:28 2018 commencing in-memory singleton removal
  40. Tue Oct 23 12:48:41 2018 begin with 186288899 relations and 174213098 unique ideals
  41. Tue Oct 23 12:51:06 2018 reduce to 116809724 relations and 97298815 ideals in 14 passes
  42. Tue Oct 23 12:51:06 2018 max relations containing the same ideal: 154
  43. Tue Oct 23 12:51:53 2018 removing 11282039 relations and 9282039 ideals in 2000000 cliques
  44. Tue Oct 23 12:51:56 2018 commencing in-memory singleton removal
  45. Tue Oct 23 12:52:03 2018 begin with 105527685 relations and 97298815 unique ideals
  46. Tue Oct 23 12:53:20 2018 reduce to 104750476 relations and 87223028 ideals in 9 passes
  47. Tue Oct 23 12:53:20 2018 max relations containing the same ideal: 145
  48. Tue Oct 23 12:54:03 2018 removing 8552288 relations and 6552288 ideals in 2000000 cliques
  49. Tue Oct 23 12:54:05 2018 commencing in-memory singleton removal
  50. Tue Oct 23 12:54:12 2018 begin with 96198188 relations and 87223028 unique ideals
  51. Tue Oct 23 12:55:06 2018 reduce to 95684040 relations and 80146837 ideals in 7 passes
  52. Tue Oct 23 12:55:06 2018 max relations containing the same ideal: 138
  53. Tue Oct 23 12:55:45 2018 removing 7715842 relations and 5715842 ideals in 2000000 cliques
  54. Tue Oct 23 12:55:47 2018 commencing in-memory singleton removal
  55. Tue Oct 23 12:55:53 2018 begin with 87968198 relations and 80146837 unique ideals
  56. Tue Oct 23 12:56:43 2018 reduce to 87514372 relations and 73968490 ideals in 7 passes
  57. Tue Oct 23 12:56:43 2018 max relations containing the same ideal: 128
  58. Tue Oct 23 12:57:18 2018 removing 7283027 relations and 5283027 ideals in 2000000 cliques
  59. Tue Oct 23 12:57:20 2018 commencing in-memory singleton removal
  60. Tue Oct 23 12:57:26 2018 begin with 80231345 relations and 73968490 unique ideals
  61. Tue Oct 23 12:58:11 2018 reduce to 79802836 relations and 68248204 ideals in 7 passes
  62. Tue Oct 23 12:58:11 2018 max relations containing the same ideal: 119
  63. Tue Oct 23 12:58:43 2018 removing 7000974 relations and 5000974 ideals in 2000000 cliques
  64. Tue Oct 23 12:58:45 2018 commencing in-memory singleton removal
  65. Tue Oct 23 12:58:50 2018 begin with 72801862 relations and 68248204 unique ideals
  66. Tue Oct 23 12:59:30 2018 reduce to 72379117 relations and 62815200 ideals in 7 passes
  67. Tue Oct 23 12:59:30 2018 max relations containing the same ideal: 111
  68. Tue Oct 23 12:59:59 2018 removing 6812917 relations and 4812917 ideals in 2000000 cliques
  69. Tue Oct 23 13:00:01 2018 commencing in-memory singleton removal
  70. Tue Oct 23 13:00:06 2018 begin with 65566200 relations and 62815200 unique ideals
  71. Tue Oct 23 13:00:47 2018 reduce to 65136776 relations and 57562617 ideals in 8 passes
  72. Tue Oct 23 13:00:47 2018 max relations containing the same ideal: 104
  73. Tue Oct 23 13:01:13 2018 removing 6673654 relations and 4673654 ideals in 2000000 cliques
  74. Tue Oct 23 13:01:15 2018 commencing in-memory singleton removal
  75. Tue Oct 23 13:01:19 2018 begin with 58463122 relations and 57562617 unique ideals
  76. Tue Oct 23 13:01:55 2018 reduce to 58008762 relations and 52422598 ideals in 8 passes
  77. Tue Oct 23 13:01:55 2018 max relations containing the same ideal: 95
  78. Tue Oct 23 13:02:19 2018 removing 6586266 relations and 4586266 ideals in 2000000 cliques
  79. Tue Oct 23 13:02:21 2018 commencing in-memory singleton removal
  80. Tue Oct 23 13:02:24 2018 begin with 51422496 relations and 52422598 unique ideals
  81. Tue Oct 23 13:02:56 2018 reduce to 50923560 relations and 47323098 ideals in 8 passes
  82. Tue Oct 23 13:02:56 2018 max relations containing the same ideal: 90
  83. Tue Oct 23 13:03:16 2018 removing 6545561 relations and 4545561 ideals in 2000000 cliques
  84. Tue Oct 23 13:03:18 2018 commencing in-memory singleton removal
  85. Tue Oct 23 13:03:21 2018 begin with 44377999 relations and 47323098 unique ideals
  86. Tue Oct 23 13:03:48 2018 reduce to 43800247 relations and 42180703 ideals in 8 passes
  87. Tue Oct 23 13:03:48 2018 max relations containing the same ideal: 80
  88. Tue Oct 23 13:04:05 2018 removing 2158408 relations and 1654114 ideals in 504294 cliques
  89. Tue Oct 23 13:04:07 2018 commencing in-memory singleton removal
  90. Tue Oct 23 13:04:09 2018 begin with 41641839 relations and 42180703 unique ideals
  91. Tue Oct 23 13:04:28 2018 reduce to 41569425 relations and 40453442 ideals in 6 passes
  92. Tue Oct 23 13:04:28 2018 max relations containing the same ideal: 76
  93. Tue Oct 23 13:04:49 2018 relations with 0 large ideals: 36840
  94. Tue Oct 23 13:04:49 2018 relations with 1 large ideals: 20000
  95. Tue Oct 23 13:04:49 2018 relations with 2 large ideals: 261539
  96. Tue Oct 23 13:04:49 2018 relations with 3 large ideals: 1540483
  97. Tue Oct 23 13:04:49 2018 relations with 4 large ideals: 4907158
  98. Tue Oct 23 13:04:49 2018 relations with 5 large ideals: 9348607
  99. Tue Oct 23 13:04:49 2018 relations with 6 large ideals: 11120007
  100. Tue Oct 23 13:04:49 2018 relations with 7+ large ideals: 14334791
  101. Tue Oct 23 13:04:49 2018 commencing 2-way merge
  102. Tue Oct 23 13:05:12 2018 reduce to 28105586 relation sets and 26989603 unique ideals
  103. Tue Oct 23 13:05:12 2018 commencing full merge
  104. Tue Oct 23 13:15:18 2018 memory use: 3473.0 MB
  105. Tue Oct 23 13:15:24 2018 found 12146358 cycles, need 12133803
  106. Tue Oct 23 13:15:24 2018 weight of 12133803 cycles is about 1577855872 (130.04/cycle)
  107. Tue Oct 23 13:15:24 2018 distribution of cycle lengths:
  108. Tue Oct 23 13:15:24 2018 1 relations: 380931
  109. Tue Oct 23 13:15:24 2018 2 relations: 594180
  110. Tue Oct 23 13:15:24 2018 3 relations: 734825
  111. Tue Oct 23 13:15:24 2018 4 relations: 790568
  112. Tue Oct 23 13:15:24 2018 5 relations: 831633
  113. Tue Oct 23 13:15:24 2018 6 relations: 839660
  114. Tue Oct 23 13:15:24 2018 7 relations: 830237
  115. Tue Oct 23 13:15:24 2018 8 relations: 812526
  116. Tue Oct 23 13:15:24 2018 9 relations: 777753
  117. Tue Oct 23 13:15:24 2018 10+ relations: 5541490
  118. Tue Oct 23 13:15:24 2018 heaviest cycle: 28 relations
  119. Tue Oct 23 13:15:29 2018 commencing cycle optimization
  120. Tue Oct 23 13:15:57 2018 start with 118047219 relations
  121. Tue Oct 23 13:21:26 2018 pruned 6114497 relations
  122. Tue Oct 23 13:21:26 2018 memory use: 2939.9 MB
  123. Tue Oct 23 13:21:26 2018 distribution of cycle lengths:
  124. Tue Oct 23 13:21:26 2018 1 relations: 380931
  125. Tue Oct 23 13:21:26 2018 2 relations: 610763
  126. Tue Oct 23 13:21:26 2018 3 relations: 768380
  127. Tue Oct 23 13:21:26 2018 4 relations: 828141
  128. Tue Oct 23 13:21:26 2018 5 relations: 879157
  129. Tue Oct 23 13:21:26 2018 6 relations: 886462
  130. Tue Oct 23 13:21:26 2018 7 relations: 881784
  131. Tue Oct 23 13:21:26 2018 8 relations: 859226
  132. Tue Oct 23 13:21:26 2018 9 relations: 822474
  133. Tue Oct 23 13:21:26 2018 10+ relations: 5216485
  134. Tue Oct 23 13:21:26 2018 heaviest cycle: 28 relations
  135. Tue Oct 23 13:21:54 2018 RelProcTime: 4844
  136. Tue Oct 23 13:21:54 2018
  137. Tue Oct 23 13:21:54 2018 commencing linear algebra
  138. Tue Oct 23 13:21:56 2018 read 12133803 cycles
  139. Tue Oct 23 13:22:24 2018 cycles contain 41032985 unique relations
  140. Tue Oct 23 13:26:42 2018 read 41032985 relations
  141. Tue Oct 23 13:28:10 2018 using 20 quadratic characters above 4294917295
  142. Tue Oct 23 13:30:24 2018 building initial matrix
  143. Tue Oct 23 13:37:48 2018 memory use: 5244.1 MB
  144. Tue Oct 23 13:37:57 2018 read 12133803 cycles
  145. Tue Oct 23 13:37:58 2018 matrix is 12133626 x 12133803 (6107.2 MB) with weight 1744711948 (143.79/col)
  146. Tue Oct 23 13:37:58 2018 sparse part has weight 1467481009 (120.94/col)
  147. Tue Oct 23 13:40:12 2018 filtering completed in 2 passes
  148. Tue Oct 23 13:40:13 2018 matrix is 12133571 x 12133748 (6107.1 MB) with weight 1744710014 (143.79/col)
  149. Tue Oct 23 13:40:13 2018 sparse part has weight 1467480491 (120.94/col)
  150. Tue Oct 23 13:40:55 2018 matrix starts at (0, 0)
  151. Tue Oct 23 13:40:56 2018 matrix is 12133571 x 12133748 (6107.1 MB) with weight 1744710014 (143.79/col)
  152. Tue Oct 23 13:40:56 2018 sparse part has weight 1467480491 (120.94/col)
  153. Tue Oct 23 13:40:56 2018 saving the first 48 matrix rows for later
  154. Tue Oct 23 13:40:58 2018 matrix includes 64 packed rows
  155. Tue Oct 23 13:40:59 2018 matrix is 12133523 x 12133748 (5843.0 MB) with weight 1512795847 (124.68/col)
  156. Tue Oct 23 13:40:59 2018 sparse part has weight 1410380862 (116.24/col)
  157. Tue Oct 23 13:40:59 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  158. Tue Oct 23 13:41:58 2018 commencing Lanczos iteration (8 threads)
  159. Tue Oct 23 13:41:58 2018 memory use: 5017.0 MB
  160. Tue Oct 23 13:42:24 2018 linear algebra at 0.0%, ETA 55h41m
  161. Tue Oct 23 13:42:32 2018 checkpointing every 230000 dimensions
  162. Wed Oct 24 20:24:22 2018
  163. Wed Oct 24 20:24:22 2018
  164. Wed Oct 24 20:24:22 2018 Msieve v. 1.53 (SVN 988M)
  165. Wed Oct 24 20:24:22 2018 random seeds: 4ae7b71a b8f5a688
  166. Wed Oct 24 20:24:22 2018 factoring 9050179345658295141709130029820389359683066942337584700674788581111005407674098001101778657771754346784885028677147188012157874937131397291231244641128035189904411223348200214425555138054174597 (193 digits)
  167. Wed Oct 24 20:24:23 2018 searching for 15-digit factors
  168. Wed Oct 24 20:24:24 2018 commencing number field sieve (193-digit input)
  169. Wed Oct 24 20:24:24 2018 R0: 969773729787523602876821942164080815560161
  170. Wed Oct 24 20:24:24 2018 R1: -309485009821345068724781056
  171. Wed Oct 24 20:24:24 2018 A0: 9
  172. Wed Oct 24 20:24:24 2018 A1: 0
  173. Wed Oct 24 20:24:24 2018 A2: 0
  174. Wed Oct 24 20:24:24 2018 A3: 0
  175. Wed Oct 24 20:24:24 2018 A4: 0
  176. Wed Oct 24 20:24:24 2018 A5: 0
  177. Wed Oct 24 20:24:24 2018 A6: 4
  178. Wed Oct 24 20:24:24 2018 skew 1.15, size 2.090e-12, alpha 0.552, combined = 2.009e-13 rroots = 0
  179. Wed Oct 24 20:24:24 2018
  180. Wed Oct 24 20:24:24 2018 commencing linear algebra
  181. Wed Oct 24 20:24:29 2018 matrix starts at (0, 0)
  182. Wed Oct 24 20:24:31 2018 matrix is 12133571 x 12133748 (6107.1 MB) with weight 1744710014 (143.79/col)
  183. Wed Oct 24 20:24:31 2018 sparse part has weight 1467480491 (120.94/col)
  184. Wed Oct 24 20:24:31 2018 saving the first 48 matrix rows for later
  185. Wed Oct 24 20:24:33 2018 matrix includes 64 packed rows
  186. Wed Oct 24 20:24:34 2018 matrix is 12133523 x 12133748 (5843.0 MB) with weight 1512795847 (124.68/col)
  187. Wed Oct 24 20:24:34 2018 sparse part has weight 1410380862 (116.24/col)
  188. Wed Oct 24 20:24:34 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  189. Wed Oct 24 20:25:43 2018 commencing Lanczos iteration (8 threads)
  190. Wed Oct 24 20:25:43 2018 memory use: 5017.0 MB
  191. Wed Oct 24 20:25:44 2018 restarting at iteration 101844 (dim = 6440041)
  192. Wed Oct 24 20:26:32 2018 linear algebra at 53.1%, ETA 49h48m
  193. Wed Oct 24 20:26:41 2018 lanczos halted after 101872 iterations (dim = 6441819)
  194. Wed Oct 24 20:26:44 2018 BLanczosTime: 140
  195. Wed Oct 24 20:26:44 2018
  196. Wed Oct 24 20:26:44 2018 commencing square root phase
  197. Wed Oct 24 20:26:44 2018 reading relations for dependency 1
  198. Wed Oct 24 20:26:44 2018 error: read_cycles can't open dependency file
  199. Wed Oct 24 20:27:07 2018 lanczos halted after 103184 iterations (dim = 6524849)
  200. Wed Oct 24 20:27:09 2018 BLanczosTime: 111915
  201. Wed Oct 24 20:27:09 2018
  202. Wed Oct 24 20:27:09 2018 commencing square root phase
  203. Wed Oct 24 20:27:09 2018 handling dependencies 1 to 64
  204. Wed Oct 24 20:27:09 2018 reading relations for dependency 1
  205. Wed Oct 24 20:27:09 2018 error: read_cycles can't open dependency file
  206. Wed Oct 24 20:27:20 2018
  207. Wed Oct 24 20:27:20 2018
  208. Wed Oct 24 20:27:20 2018 Msieve v. 1.53 (SVN 988M)
  209. Wed Oct 24 20:27:20 2018 random seeds: 19696904 b1df24ae
  210. Wed Oct 24 20:27:20 2018 factoring 9050179345658295141709130029820389359683066942337584700674788581111005407674098001101778657771754346784885028677147188012157874937131397291231244641128035189904411223348200214425555138054174597 (193 digits)
  211. Wed Oct 24 20:27:21 2018 searching for 15-digit factors
  212. Wed Oct 24 20:27:22 2018 commencing number field sieve (193-digit input)
  213. Wed Oct 24 20:27:22 2018 R0: 969773729787523602876821942164080815560161
  214. Wed Oct 24 20:27:22 2018 R1: -309485009821345068724781056
  215. Wed Oct 24 20:27:22 2018 A0: 9
  216. Wed Oct 24 20:27:22 2018 A1: 0
  217. Wed Oct 24 20:27:22 2018 A2: 0
  218. Wed Oct 24 20:27:22 2018 A3: 0
  219. Wed Oct 24 20:27:22 2018 A4: 0
  220. Wed Oct 24 20:27:22 2018 A5: 0
  221. Wed Oct 24 20:27:22 2018 A6: 4
  222. Wed Oct 24 20:27:22 2018 skew 1.15, size 2.090e-12, alpha 0.552, combined = 2.009e-13 rroots = 0
  223. Wed Oct 24 20:27:22 2018
  224. Wed Oct 24 20:27:22 2018 commencing linear algebra
  225. Wed Oct 24 20:27:26 2018 matrix starts at (0, 0)
  226. Wed Oct 24 20:27:27 2018 matrix is 12133571 x 12133748 (6107.1 MB) with weight 1744710014 (143.79/col)
  227. Wed Oct 24 20:27:27 2018 sparse part has weight 1467480491 (120.94/col)
  228. Wed Oct 24 20:27:27 2018 saving the first 48 matrix rows for later
  229. Wed Oct 24 20:27:29 2018 matrix includes 64 packed rows
  230. Wed Oct 24 20:27:31 2018 matrix is 12133523 x 12133748 (5843.0 MB) with weight 1512795847 (124.68/col)
  231. Wed Oct 24 20:27:31 2018 sparse part has weight 1410380862 (116.24/col)
  232. Wed Oct 24 20:27:31 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  233. Wed Oct 24 20:28:28 2018 commencing Lanczos iteration (8 threads)
  234. Wed Oct 24 20:28:28 2018 memory use: 5017.0 MB
  235. Wed Oct 24 20:28:29 2018 restarting at iteration 103184 (dim = 6524849)
  236. Wed Oct 24 20:28:48 2018 checkpointing every 230000 dimensions
  237. Wed Oct 24 20:28:53 2018 linear algebra at 53.8%, ETA 24h37m
  238. Thu Oct 25 22:04:24 2018 lanczos halted after 191883 iterations (dim = 12133521)
  239. Thu Oct 25 22:04:36 2018 recovered 42 nontrivial dependencies
  240. Thu Oct 25 22:04:39 2018 BLanczosTime: 92237
  241. Thu Oct 25 22:04:39 2018
  242. Thu Oct 25 22:04:39 2018 commencing square root phase
  243. Thu Oct 25 22:04:39 2018 reading relations for dependency 1
  244. Thu Oct 25 22:04:41 2018 read 6067421 cycles
  245. Thu Oct 25 22:04:55 2018 cycles contain 20516364 unique relations
  246. Thu Oct 25 22:08:07 2018 read 20516364 relations
  247. Thu Oct 25 22:09:28 2018 multiplying 20516364 relations
  248. Thu Oct 25 22:20:31 2018 multiply complete, coefficients have about 560.32 million bits
  249. Thu Oct 25 22:20:32 2018 initial square root is modulo 106411
  250. Thu Oct 25 22:32:41 2018 sqrtTime: 1682
  251. Thu Oct 25 22:32:41 2018 p78 factor: 671926902820163553275747311736085200385142203590483809488330220078375891713361
  252. Thu Oct 25 22:32:41 2018 p116 factor: 13468993885605010732911554145166768000952718266373030891356604533418112382819613344036612523377307247455334155237877
  253. Thu Oct 25 22:32:41 2018 elapsed time 26:05:21
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