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C222_127_97

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Sep 5th, 2017
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  1. Fri Aug 25 11:35:39 2017 Msieve v. 1.53 (SVN unknown)
  2. Fri Aug 25 11:35:39 2017 random seeds: 4d391b44 539899e3
  3. Fri Aug 25 11:35:39 2017 factoring 136492511581775089024117139893972407425671819028452361539319594394807438281156804697518148072407672673426927975994420660045143097498604430406328103630062188790737782462452584954339423334667913738505669162748840918714170249 (222 digits)
  4. Fri Aug 25 11:35:40 2017 searching for 15-digit factors
  5. Fri Aug 25 11:35:41 2017 commencing number field sieve (222-digit input)
  6. Fri Aug 25 11:35:41 2017 R0: 527480512638944839726474542256547576188897
  7. Fri Aug 25 11:35:41 2017 R1: -4579937329576774398276408998492161
  8. Fri Aug 25 11:35:41 2017 A0: 127
  9. Fri Aug 25 11:35:41 2017 A1: 0
  10. Fri Aug 25 11:35:41 2017 A2: 0
  11. Fri Aug 25 11:35:41 2017 A3: 0
  12. Fri Aug 25 11:35:41 2017 A4: 0
  13. Fri Aug 25 11:35:41 2017 A5: 0
  14. Fri Aug 25 11:35:41 2017 A6: 97
  15. Fri Aug 25 11:35:41 2017 skew 1.05, size 1.485e-12, alpha -0.607, combined = 1.595e-13 rroots = 0
  16. Fri Aug 25 11:35:41 2017
  17. Fri Aug 25 11:35:41 2017 commencing relation filtering
  18. Fri Aug 25 11:35:41 2017 setting target matrix density to 128.0
  19. Fri Aug 25 11:35:41 2017 estimated available RAM is 16003.1 MB
  20. Fri Aug 25 11:35:41 2017 commencing duplicate removal, pass 1
  21. Fri Aug 25 11:45:00 2017 error -1 reading relation 79068548
  22. Fri Aug 25 11:45:06 2017 error -1 reading relation 79947431
  23. Fri Aug 25 11:45:06 2017 error -1 reading relation 79947432
  24. Fri Aug 25 11:45:06 2017 error -1 reading relation 79947433
  25. [ . . . deleted 2700 records, mostly error -1 & -11 . . . ]
  26. Fri Aug 25 11:48:30 2017 error -11 reading relation 108373883
  27. Fri Aug 25 11:55:53 2017 error -15 reading relation 170001097
  28. Fri Aug 25 11:55:53 2017 error -11 reading relation 170001188
  29. Fri Aug 25 11:57:59 2017 error -15 reading relation 187484436
  30. Fri Aug 25 11:58:57 2017 error -15 reading relation 195567256
  31. Fri Aug 25 11:59:29 2017 skipped 181 relations with b > 2^32
  32. Fri Aug 25 11:59:29 2017 skipped 1707 relations with composite factors
  33. Fri Aug 25 11:59:29 2017 found 8674859 hash collisions in 199009349 relations
  34. Fri Aug 25 11:59:39 2017 commencing duplicate removal, pass 2
  35. Fri Aug 25 12:00:37 2017 found 1 duplicates and 199009348 unique relations
  36. Fri Aug 25 12:00:37 2017 memory use: 522.4 MB
  37. Fri Aug 25 12:00:37 2017 reading ideals above 129957888
  38. Fri Aug 25 12:00:37 2017 commencing singleton removal, initial pass
  39. Fri Aug 25 12:18:50 2017 memory use: 5512.0 MB
  40. Fri Aug 25 12:18:50 2017 reading all ideals from disk
  41. Fri Aug 25 12:18:58 2017 memory use: 3834.3 MB
  42. Fri Aug 25 12:19:05 2017 commencing in-memory singleton removal
  43. Fri Aug 25 12:19:11 2017 begin with 199009348 relations and 164086011 unique ideals
  44. Fri Aug 25 12:20:34 2017 reduce to 134656213 relations and 93628444 ideals in 14 passes
  45. Fri Aug 25 12:20:34 2017 max relations containing the same ideal: 37
  46. Fri Aug 25 12:20:41 2017 reading ideals above 720000
  47. Fri Aug 25 12:20:41 2017 commencing singleton removal, initial pass
  48. Fri Aug 25 12:36:12 2017 memory use: 3012.0 MB
  49. Fri Aug 25 12:36:12 2017 reading all ideals from disk
  50. Fri Aug 25 12:36:26 2017 memory use: 5374.9 MB
  51. Fri Aug 25 12:36:39 2017 keeping 107672577 ideals with weight <= 200, target excess is 706012
  52. Fri Aug 25 12:36:53 2017 commencing in-memory singleton removal
  53. Fri Aug 25 12:37:03 2017 begin with 134656213 relations and 107672577 unique ideals
  54. Fri Aug 25 12:37:46 2017 reduce to 134656178 relations and 107672542 ideals in 4 passes
  55. Fri Aug 25 12:37:46 2017 max relations containing the same ideal: 200
  56. Fri Aug 25 12:38:37 2017 removing 10487523 relations and 8487523 ideals in 2000000 cliques
  57. Fri Aug 25 12:38:41 2017 commencing in-memory singleton removal
  58. Fri Aug 25 12:38:50 2017 begin with 124168655 relations and 107672542 unique ideals
  59. Fri Aug 25 12:40:10 2017 reduce to 123599317 relations and 98605152 ideals in 8 passes
  60. Fri Aug 25 12:40:10 2017 max relations containing the same ideal: 196
  61. Fri Aug 25 12:40:54 2017 removing 7972276 relations and 5972276 ideals in 2000000 cliques
  62. Fri Aug 25 12:40:58 2017 commencing in-memory singleton removal
  63. Fri Aug 25 12:41:05 2017 begin with 115627041 relations and 98605152 unique ideals
  64. Fri Aug 25 12:41:59 2017 reduce to 115251980 relations and 92251814 ideals in 7 passes
  65. Fri Aug 25 12:41:59 2017 max relations containing the same ideal: 190
  66. Fri Aug 25 12:42:39 2017 removing 7206442 relations and 5206442 ideals in 2000000 cliques
  67. Fri Aug 25 12:42:42 2017 commencing in-memory singleton removal
  68. Fri Aug 25 12:42:49 2017 begin with 108045538 relations and 92251814 unique ideals
  69. Fri Aug 25 12:43:46 2017 reduce to 107720470 relations and 86715083 ideals in 8 passes
  70. Fri Aug 25 12:43:46 2017 max relations containing the same ideal: 183
  71. Fri Aug 25 12:44:23 2017 removing 6802601 relations and 4802601 ideals in 2000000 cliques
  72. Fri Aug 25 12:44:26 2017 commencing in-memory singleton removal
  73. Fri Aug 25 12:44:32 2017 begin with 100917869 relations and 86715083 unique ideals
  74. Fri Aug 25 12:45:18 2017 reduce to 100617764 relations and 81607248 ideals in 7 passes
  75. Fri Aug 25 12:45:18 2017 max relations containing the same ideal: 175
  76. Fri Aug 25 12:45:53 2017 removing 6539781 relations and 4539781 ideals in 2000000 cliques
  77. Fri Aug 25 12:45:56 2017 commencing in-memory singleton removal
  78. Fri Aug 25 12:46:02 2017 begin with 94077983 relations and 81607248 unique ideals
  79. Fri Aug 25 12:46:39 2017 reduce to 93790493 relations and 76774916 ideals in 6 passes
  80. Fri Aug 25 12:46:39 2017 max relations containing the same ideal: 170
  81. Fri Aug 25 12:47:12 2017 removing 6351405 relations and 4351405 ideals in 2000000 cliques
  82. Fri Aug 25 12:47:15 2017 commencing in-memory singleton removal
  83. Fri Aug 25 12:47:20 2017 begin with 87439088 relations and 76774916 unique ideals
  84. Fri Aug 25 12:47:54 2017 reduce to 87156423 relations and 72135519 ideals in 6 passes
  85. Fri Aug 25 12:47:54 2017 max relations containing the same ideal: 164
  86. Fri Aug 25 12:48:25 2017 removing 6209866 relations and 4209866 ideals in 2000000 cliques
  87. Fri Aug 25 12:48:27 2017 commencing in-memory singleton removal
  88. Fri Aug 25 12:48:32 2017 begin with 80946557 relations and 72135519 unique ideals
  89. Fri Aug 25 12:49:14 2017 reduce to 80664022 relations and 67637312 ideals in 8 passes
  90. Fri Aug 25 12:49:14 2017 max relations containing the same ideal: 157
  91. Fri Aug 25 12:49:42 2017 removing 6099325 relations and 4099325 ideals in 2000000 cliques
  92. Fri Aug 25 12:49:45 2017 commencing in-memory singleton removal
  93. Fri Aug 25 12:49:49 2017 begin with 74564697 relations and 67637312 unique ideals
  94. Fri Aug 25 12:50:18 2017 reduce to 74274298 relations and 63241268 ideals in 6 passes
  95. Fri Aug 25 12:50:18 2017 max relations containing the same ideal: 145
  96. Fri Aug 25 12:50:44 2017 removing 6020981 relations and 4020981 ideals in 2000000 cliques
  97. Fri Aug 25 12:50:46 2017 commencing in-memory singleton removal
  98. Fri Aug 25 12:50:51 2017 begin with 68253317 relations and 63241268 unique ideals
  99. Fri Aug 25 12:51:17 2017 reduce to 67948343 relations and 58908250 ideals in 6 passes
  100. Fri Aug 25 12:51:17 2017 max relations containing the same ideal: 135
  101. Fri Aug 25 12:51:41 2017 removing 5967135 relations and 3967135 ideals in 2000000 cliques
  102. Fri Aug 25 12:51:43 2017 commencing in-memory singleton removal
  103. Fri Aug 25 12:51:47 2017 begin with 61981208 relations and 58908250 unique ideals
  104. Fri Aug 25 12:52:14 2017 reduce to 61652630 relations and 54604148 ideals in 7 passes
  105. Fri Aug 25 12:52:14 2017 max relations containing the same ideal: 126
  106. Fri Aug 25 12:52:36 2017 removing 5941111 relations and 3941111 ideals in 2000000 cliques
  107. Fri Aug 25 12:52:38 2017 commencing in-memory singleton removal
  108. Fri Aug 25 12:52:41 2017 begin with 55711519 relations and 54604148 unique ideals
  109. Fri Aug 25 12:53:02 2017 reduce to 55345317 relations and 50286690 ideals in 6 passes
  110. Fri Aug 25 12:53:02 2017 max relations containing the same ideal: 117
  111. Fri Aug 25 12:53:22 2017 removing 5949087 relations and 3949087 ideals in 2000000 cliques
  112. Fri Aug 25 12:53:24 2017 commencing in-memory singleton removal
  113. Fri Aug 25 12:53:27 2017 begin with 49396230 relations and 50286690 unique ideals
  114. Fri Aug 25 12:53:48 2017 reduce to 48973400 relations and 45901657 ideals in 7 passes
  115. Fri Aug 25 12:53:48 2017 max relations containing the same ideal: 111
  116. Fri Aug 25 12:54:06 2017 removing 6006112 relations and 4006112 ideals in 2000000 cliques
  117. Fri Aug 25 12:54:08 2017 commencing in-memory singleton removal
  118. Fri Aug 25 12:54:11 2017 begin with 42967288 relations and 45901657 unique ideals
  119. Fri Aug 25 12:54:31 2017 reduce to 42452843 relations and 41363389 ideals in 8 passes
  120. Fri Aug 25 12:54:31 2017 max relations containing the same ideal: 99
  121. Fri Aug 25 12:54:47 2017 removing 1178081 relations and 907601 ideals in 270480 cliques
  122. Fri Aug 25 12:54:48 2017 commencing in-memory singleton removal
  123. Fri Aug 25 12:54:51 2017 begin with 41274762 relations and 41363389 unique ideals
  124. Fri Aug 25 12:55:08 2017 reduce to 41250340 relations and 40431224 ideals in 7 passes
  125. Fri Aug 25 12:55:08 2017 max relations containing the same ideal: 99
  126. Fri Aug 25 12:55:29 2017 relations with 0 large ideals: 26893
  127. Fri Aug 25 12:55:29 2017 relations with 1 large ideals: 10188
  128. Fri Aug 25 12:55:29 2017 relations with 2 large ideals: 138864
  129. Fri Aug 25 12:55:29 2017 relations with 3 large ideals: 941070
  130. Fri Aug 25 12:55:29 2017 relations with 4 large ideals: 3474702
  131. Fri Aug 25 12:55:29 2017 relations with 5 large ideals: 7709710
  132. Fri Aug 25 12:55:29 2017 relations with 6 large ideals: 10778526
  133. Fri Aug 25 12:55:29 2017 relations with 7+ large ideals: 18170387
  134. Fri Aug 25 12:55:29 2017 commencing 2-way merge
  135. Fri Aug 25 12:55:48 2017 reduce to 28755433 relation sets and 27936317 unique ideals
  136. Fri Aug 25 12:55:48 2017 commencing full merge
  137. Fri Aug 25 13:05:30 2017 memory use: 3533.2 MB
  138. Fri Aug 25 13:05:32 2017 found 12456683 cycles, need 12434517
  139. Fri Aug 25 13:05:35 2017 weight of 12434517 cycles is about 1592233468 (128.05/cycle)
  140. Fri Aug 25 13:05:35 2017 distribution of cycle lengths:
  141. Fri Aug 25 13:05:35 2017 1 relations: 364509
  142. Fri Aug 25 13:05:35 2017 2 relations: 593961
  143. Fri Aug 25 13:05:35 2017 3 relations: 765531
  144. Fri Aug 25 13:05:35 2017 4 relations: 842273
  145. Fri Aug 25 13:05:35 2017 5 relations: 901433
  146. Fri Aug 25 13:05:35 2017 6 relations: 920339
  147. Fri Aug 25 13:05:35 2017 7 relations: 918499
  148. Fri Aug 25 13:05:35 2017 8 relations: 893094
  149. Fri Aug 25 13:05:35 2017 9 relations: 845393
  150. Fri Aug 25 13:05:35 2017 10+ relations: 5389485
  151. Fri Aug 25 13:05:35 2017 heaviest cycle: 28 relations
  152. Fri Aug 25 13:05:38 2017 commencing cycle optimization
  153. Fri Aug 25 13:06:00 2017 start with 116553229 relations
  154. Fri Aug 25 13:10:17 2017 pruned 6285304 relations
  155. Fri Aug 25 13:10:18 2017 memory use: 2919.1 MB
  156. Fri Aug 25 13:10:18 2017 distribution of cycle lengths:
  157. Fri Aug 25 13:10:18 2017 1 relations: 364509
  158. Fri Aug 25 13:10:18 2017 2 relations: 611179
  159. Fri Aug 25 13:10:18 2017 3 relations: 801665
  160. Fri Aug 25 13:10:18 2017 4 relations: 883977
  161. Fri Aug 25 13:10:18 2017 5 relations: 956153
  162. Fri Aug 25 13:10:18 2017 6 relations: 977110
  163. Fri Aug 25 13:10:18 2017 7 relations: 979588
  164. Fri Aug 25 13:10:18 2017 8 relations: 947888
  165. Fri Aug 25 13:10:18 2017 9 relations: 895720
  166. Fri Aug 25 13:10:18 2017 10+ relations: 5016728
  167. Fri Aug 25 13:10:18 2017 heaviest cycle: 28 relations
  168. Fri Aug 25 13:10:36 2017 RelProcTime: 5695
  169. Fri Aug 25 13:10:36 2017
  170. Fri Aug 25 13:10:36 2017 commencing linear algebra
  171. Fri Aug 25 13:10:41 2017 read 12434517 cycles
  172. Fri Aug 25 13:11:05 2017 cycles contain 40893585 unique relations
  173. Fri Aug 25 13:14:31 2017 read 40893585 relations
  174. Fri Aug 25 13:15:41 2017 using 20 quadratic characters above 4294917295
  175. Fri Aug 25 13:18:20 2017 building initial matrix
  176. Fri Aug 25 13:26:14 2017 memory use: 5382.9 MB
  177. Fri Aug 25 13:26:19 2017 read 12434517 cycles
  178. Fri Aug 25 13:26:20 2017 matrix is 12434340 x 12434517 (6124.3 MB) with weight 1768553244 (142.23/col)
  179. Fri Aug 25 13:26:20 2017 sparse part has weight 1468666017 (118.11/col)
  180. Fri Aug 25 13:28:54 2017 filtering completed in 2 passes
  181. Fri Aug 25 13:28:56 2017 matrix is 12434284 x 12434461 (6124.3 MB) with weight 1768551466 (142.23/col)
  182. Fri Aug 25 13:28:56 2017 sparse part has weight 1468665629 (118.11/col)
  183. Fri Aug 25 13:29:41 2017 matrix starts at (0, 0)
  184. Fri Aug 25 13:29:42 2017 matrix is 12434284 x 12434461 (6124.3 MB) with weight 1768551466 (142.23/col)
  185. Fri Aug 25 13:29:42 2017 sparse part has weight 1468665629 (118.11/col)
  186. Fri Aug 25 13:29:42 2017 saving the first 48 matrix rows for later
  187. Fri Aug 25 13:29:44 2017 matrix includes 64 packed rows
  188. Fri Aug 25 13:29:46 2017 matrix is 12434236 x 12434461 (5879.5 MB) with weight 1516520745 (121.96/col)
  189. Fri Aug 25 13:29:46 2017 sparse part has weight 1416918165 (113.95/col)
  190. Fri Aug 25 13:29:46 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  191. Fri Aug 25 13:30:41 2017 commencing Lanczos iteration (4 threads)
  192. Fri Aug 25 13:30:41 2017 memory use: 5019.8 MB
  193. Fri Aug 25 13:31:46 2017 linear algebra at 0.0%, ETA 141h 3m
  194. Fri Aug 25 13:32:07 2017 checkpointing every 90000 dimensions
  195. Sat Sep 2 09:41:11 2017
  196. Sat Sep 2 09:41:11 2017
  197. Sat Sep 2 09:41:11 2017 Msieve v. 1.53 (SVN unknown)
  198. Sat Sep 2 09:41:11 2017 random seeds: fc6b5d2a 10becc1a
  199. Sat Sep 2 09:41:11 2017 factoring 136492511581775089024117139893972407425671819028452361539319594394807438281156804697518148072407672673426927975994420660045143097498604430406328103630062188790737782462452584954339423334667913738505669162748840918714170249 (222 digits)
  200. Sat Sep 2 09:41:12 2017 searching for 15-digit factors
  201. Sat Sep 2 09:41:12 2017 commencing number field sieve (222-digit input)
  202. Sat Sep 2 09:41:12 2017 R0: 527480512638944839726474542256547576188897
  203. Sat Sep 2 09:41:12 2017 R1: -4579937329576774398276408998492161
  204. Sat Sep 2 09:41:12 2017 A0: 127
  205. Sat Sep 2 09:41:12 2017 A1: 0
  206. Sat Sep 2 09:41:12 2017 A2: 0
  207. Sat Sep 2 09:41:12 2017 A3: 0
  208. Sat Sep 2 09:41:12 2017 A4: 0
  209. Sat Sep 2 09:41:12 2017 A5: 0
  210. Sat Sep 2 09:41:12 2017 A6: 97
  211. Sat Sep 2 09:41:12 2017 skew 1.05, size 1.485e-12, alpha -0.607, combined = 1.595e-13 rroots = 0
  212. Sat Sep 2 09:41:12 2017
  213. Sat Sep 2 09:41:12 2017 commencing linear algebra
  214. Sat Sep 2 09:41:12 2017 skipping matrix build
  215. Sat Sep 2 09:41:28 2017 matrix starts at (0, 0)
  216. Sat Sep 2 09:41:29 2017 matrix is 12434284 x 12434461 (6124.3 MB) with weight 1768551466 (142.23/col)
  217. Sat Sep 2 09:41:29 2017 sparse part has weight 1468665629 (118.11/col)
  218. Sat Sep 2 09:41:29 2017 saving the first 48 matrix rows for later
  219. Sat Sep 2 09:41:31 2017 matrix includes 64 packed rows
  220. Sat Sep 2 09:41:33 2017 matrix is 12434236 x 12434461 (5879.5 MB) with weight 1516520745 (121.96/col)
  221. Sat Sep 2 09:41:33 2017 sparse part has weight 1416918165 (113.95/col)
  222. Sat Sep 2 09:41:33 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  223. Sat Sep 2 09:42:29 2017 commencing Lanczos iteration (4 threads)
  224. Sat Sep 2 09:42:29 2017 memory use: 5019.8 MB
  225. Sat Sep 2 09:42:31 2017 restarting at iteration 88246 (dim = 5580060)
  226. Sat Sep 2 09:44:00 2017 linear algebra at 44.9%, ETA 111h45m
  227. Sat Sep 2 09:44:26 2017 checkpointing every 70000 dimensions
  228. Tue Sep 5 02:11:12 2017 lanczos halted after 196634 iterations (dim = 12434233)
  229. Tue Sep 5 02:11:35 2017 recovered 34 nontrivial dependencies
  230. Tue Sep 5 02:11:35 2017 BLanczosTime: 232223
  231. Tue Sep 5 02:11:35 2017
  232. Tue Sep 5 02:11:35 2017 commencing square root phase
  233. Tue Sep 5 02:11:35 2017 handling dependencies 1 to 64
  234. Tue Sep 5 02:11:35 2017 reading relations for dependency 1
  235. Tue Sep 5 02:11:36 2017 read 6218896 cycles
  236. Tue Sep 5 02:11:47 2017 cycles contain 20446536 unique relations
  237. Tue Sep 5 02:13:41 2017 read 20446536 relations
  238. Tue Sep 5 02:14:53 2017 multiplying 20446536 relations
  239. Tue Sep 5 02:31:00 2017 multiply complete, coefficients have about 653.85 million bits
  240. Tue Sep 5 02:31:02 2017 initial square root is modulo 734653
  241. Tue Sep 5 02:47:58 2017 GCD is N, no factor found
  242. Tue Sep 5 02:47:58 2017 reading relations for dependency 2
  243. Tue Sep 5 02:47:59 2017 read 6218794 cycles
  244. Tue Sep 5 02:48:10 2017 cycles contain 20451428 unique relations
  245. Tue Sep 5 02:50:04 2017 read 20451428 relations
  246. Tue Sep 5 02:51:16 2017 multiplying 20451428 relations
  247. Tue Sep 5 03:07:22 2017 multiply complete, coefficients have about 654.01 million bits
  248. Tue Sep 5 03:07:24 2017 initial square root is modulo 737059
  249. Tue Sep 5 03:24:12 2017 sqrtTime: 4357
  250. Tue Sep 5 03:24:12 2017 p100 factor: 3905912703148775246781555048979261422317390478231410724461030221353638153862559871127869790404397679
  251. Tue Sep 5 03:24:12 2017 p122 factor: 34945100404251437026463520848043092735577742835243930171408590635939771906676166810030793650630643970719961820843336381831
  252. Tue Sep 5 03:24:12 2017 elapsed time 65:43:01
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