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C193_117_115

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Apr 1st, 2016
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  1. Thu Mar 24 17:50:52 2016 Msieve v. 1.53 (SVN unknown)
  2. Thu Mar 24 17:50:52 2016 random seeds: d4dbacb4 6b088004
  3. Thu Mar 24 17:50:52 2016 factoring 7057182841187783692561113624116951686174475921903943676768493029120672827400017707454434079110004519138580633252881168435964508648025440878413331993651537596031559673074640045737931390563472701 (193 digits)
  4. Thu Mar 24 17:50:52 2016 searching for 15-digit factors
  5. Thu Mar 24 17:50:54 2016 commencing number field sieve (193-digit input)
  6. Thu Mar 24 17:50:54 2016 R0: -1974837535354670743420255554740439434253
  7. Thu Mar 24 17:50:54 2016 R1: 1423177164604009829748315563201904296875
  8. Thu Mar 24 17:50:54 2016 A0: 1520875
  9. Thu Mar 24 17:50:54 2016 A1: 0
  10. Thu Mar 24 17:50:54 2016 A2: 0
  11. Thu Mar 24 17:50:54 2016 A3: 0
  12. Thu Mar 24 17:50:54 2016 A4: 0
  13. Thu Mar 24 17:50:54 2016 A5: 0
  14. Thu Mar 24 17:50:54 2016 A6: 117
  15. Thu Mar 24 17:50:54 2016 skew 1.00, size 1.517e-12, alpha -0.378, combined = 1.539e-13 rroots = 0
  16. Thu Mar 24 17:50:54 2016
  17. Thu Mar 24 17:50:54 2016 commencing relation filtering
  18. Thu Mar 24 17:50:54 2016 setting target matrix density to 116.0
  19. Thu Mar 24 17:50:54 2016 estimated available RAM is 16031.0 MB
  20. Thu Mar 24 17:50:54 2016 commencing duplicate removal, pass 1
  21. Thu Mar 24 17:51:57 2016 error -5 reading relation 8487960
  22. Thu Mar 24 17:54:53 2016 error -9 reading relation 33954387
  23. Thu Mar 24 17:54:54 2016 error -9 reading relation 34121062
  24. Thu Mar 24 17:56:21 2016 error -9 reading relation 46346210
  25. Thu Mar 24 17:56:23 2016 error -9 reading relation 46554258
  26. Thu Mar 24 17:56:23 2016 error -1 reading relation 46621301
  27. Thu Mar 24 18:00:22 2016 error -15 reading relation 80859275
  28. Thu Mar 24 18:00:35 2016 error -11 reading relation 82505636
  29. Thu Mar 24 18:00:35 2016 error -1 reading relation 82511591
  30. Thu Mar 24 18:00:59 2016 error -9 reading relation 85577312
  31. Thu Mar 24 18:01:03 2016 error -15 reading relation 86188863
  32. Thu Mar 24 18:02:32 2016 error -1 reading relation 98446992
  33. Thu Mar 24 18:03:06 2016 error -5 reading relation 102968555
  34. Thu Mar 24 18:03:16 2016 error -1 reading relation 104284233
  35. Thu Mar 24 18:03:22 2016 error -9 reading relation 104834395
  36. Thu Mar 24 18:03:45 2016 error -5 reading relation 107309215
  37. Thu Mar 24 18:08:06 2016 error -9 reading relation 141997329
  38. Thu Mar 24 18:09:09 2016 error -15 reading relation 148450994
  39. Thu Mar 24 18:09:10 2016 error -9 reading relation 148551669
  40. Thu Mar 24 18:09:10 2016 error -15 reading relation 148561680
  41. Thu Mar 24 18:09:12 2016 error -9 reading relation 148738733
  42. Thu Mar 24 18:09:13 2016 error -9 reading relation 148882350
  43. Thu Mar 24 18:09:23 2016 error -9 reading relation 149974260
  44. Thu Mar 24 18:09:38 2016 error -15 reading relation 151460618
  45. Thu Mar 24 18:09:43 2016 error -1 reading relation 151935662
  46. Thu Mar 24 18:09:44 2016 error -1 reading relation 152052223
  47. Thu Mar 24 18:09:51 2016 error -1 reading relation 152782672
  48. Thu Mar 24 18:09:51 2016 error -5 reading relation 152782673
  49. Thu Mar 24 18:09:54 2016 error -1 reading relation 153043831
  50. Thu Mar 24 18:09:54 2016 error -5 reading relation 153063029
  51. Thu Mar 24 18:09:55 2016 error -1 reading relation 153066379
  52. Thu Mar 24 18:09:55 2016 error -9 reading relation 153098900
  53. Thu Mar 24 18:09:58 2016 error -9 reading relation 153424046
  54. Thu Mar 24 18:09:58 2016 error -9 reading relation 153426497
  55. Thu Mar 24 18:09:58 2016 error -9 reading relation 153469312
  56. Thu Mar 24 18:09:58 2016 error -9 reading relation 153474922
  57. Thu Mar 24 18:09:58 2016 error -15 reading relation 153489808
  58. Thu Mar 24 18:09:58 2016 error -15 reading relation 153494958
  59. Thu Mar 24 18:10:06 2016 error -15 reading relation 154321138
  60. Thu Mar 24 18:10:11 2016 error -15 reading relation 154834282
  61. Thu Mar 24 18:10:16 2016 error -15 reading relation 155419623
  62. Thu Mar 24 18:10:18 2016 error -15 reading relation 155608977
  63. Thu Mar 24 18:10:19 2016 error -15 reading relation 155664137
  64. Thu Mar 24 18:10:19 2016 error -9 reading relation 155666900
  65. Thu Mar 24 18:10:19 2016 error -15 reading relation 155669357
  66. Thu Mar 24 18:10:21 2016 error -9 reading relation 155808337
  67. Thu Mar 24 18:10:22 2016 error -9 reading relation 155949978
  68. Thu Mar 24 18:10:31 2016 error -15 reading relation 156933343
  69. Thu Mar 24 18:10:32 2016 error -9 reading relation 157099620
  70. Thu Mar 24 18:10:33 2016 error -9 reading relation 157232301
  71. Thu Mar 24 18:10:37 2016 error -1 reading relation 157609607
  72. Thu Mar 24 18:10:47 2016 error -5 reading relation 158830538
  73. Thu Mar 24 18:10:56 2016 error -9 reading relation 159779713
  74. Thu Mar 24 18:11:25 2016 error -5 reading relation 163052139
  75. Thu Mar 24 18:14:03 2016 error -15 reading relation 179783058
  76. Thu Mar 24 18:14:39 2016 error -15 reading relation 183619731
  77. Thu Mar 24 18:14:39 2016 error -15 reading relation 183677916
  78. Thu Mar 24 18:15:00 2016 error -5 reading relation 186093638
  79. Thu Mar 24 18:16:43 2016 error -5 reading relation 199899826
  80. Thu Mar 24 18:16:47 2016 error -9 reading relation 200245329
  81. Thu Mar 24 18:16:51 2016 error -15 reading relation 200616566
  82. Thu Mar 24 18:16:51 2016 error -15 reading relation 200666521
  83. Thu Mar 24 18:16:57 2016 error -9 reading relation 201258895
  84. Thu Mar 24 18:17:16 2016 error -9 reading relation 203565882
  85. Thu Mar 24 18:17:17 2016 error -9 reading relation 203614488
  86. Thu Mar 24 18:17:17 2016 error -9 reading relation 203633980
  87. Thu Mar 24 18:17:56 2016 error -9 reading relation 207972951
  88. Thu Mar 24 18:18:15 2016 error -9 reading relation 210052438
  89. Thu Mar 24 18:18:22 2016 error -15 reading relation 210674385
  90. Thu Mar 24 18:18:46 2016 error -15 reading relation 213152290
  91. Thu Mar 24 18:18:51 2016 error -15 reading relation 213620126
  92. Thu Mar 24 18:19:41 2016 error -1 reading relation 218847371
  93. Thu Mar 24 18:19:41 2016 error -9 reading relation 218929489
  94. Thu Mar 24 18:19:41 2016 error -9 reading relation 218930341
  95. Thu Mar 24 18:19:41 2016 error -9 reading relation 218930378
  96. Thu Mar 24 18:19:42 2016 error -1 reading relation 219008580
  97. Thu Mar 24 18:19:45 2016 error -1 reading relation 219270629
  98. Thu Mar 24 18:19:48 2016 error -1 reading relation 219638091
  99. Thu Mar 24 18:20:05 2016 skipped 10 relations with b > 2^32
  100. Thu Mar 24 18:20:05 2016 skipped 46 relations with composite factors
  101. Thu Mar 24 18:20:05 2016 found 49641438 hash collisions in 220919982 relations
  102. Thu Mar 24 18:20:16 2016 commencing duplicate removal, pass 2
  103. Thu Mar 24 18:25:31 2016 found 52467085 duplicates and 168452897 unique relations
  104. Thu Mar 24 18:25:31 2016 memory use: 1321.5 MB
  105. Thu Mar 24 18:25:31 2016 reading ideals above 153026560
  106. Thu Mar 24 18:25:31 2016 commencing singleton removal, initial pass
  107. Thu Mar 24 18:43:23 2016 memory use: 3012.0 MB
  108. Thu Mar 24 18:43:23 2016 reading all ideals from disk
  109. Thu Mar 24 18:44:05 2016 memory use: 3052.8 MB
  110. Thu Mar 24 18:44:11 2016 commencing in-memory singleton removal
  111. Thu Mar 24 18:44:15 2016 begin with 168452897 relations and 152429445 unique ideals
  112. Thu Mar 24 18:45:06 2016 reduce to 92390493 relations and 66711017 ideals in 17 passes
  113. Thu Mar 24 18:45:06 2016 max relations containing the same ideal: 29
  114. Thu Mar 24 18:45:09 2016 reading ideals above 720000
  115. Thu Mar 24 18:45:10 2016 commencing singleton removal, initial pass
  116. Thu Mar 24 18:58:59 2016 memory use: 2756.0 MB
  117. Thu Mar 24 18:58:59 2016 reading all ideals from disk
  118. Thu Mar 24 18:59:55 2016 memory use: 3668.6 MB
  119. Thu Mar 24 19:00:04 2016 keeping 83435432 ideals with weight <= 200, target excess is 477564
  120. Thu Mar 24 19:00:13 2016 commencing in-memory singleton removal
  121. Thu Mar 24 19:00:20 2016 begin with 92390493 relations and 83435432 unique ideals
  122. Thu Mar 24 19:01:37 2016 reduce to 92368254 relations and 83413184 ideals in 11 passes
  123. Thu Mar 24 19:01:37 2016 max relations containing the same ideal: 200
  124. Thu Mar 24 19:02:15 2016 removing 7612872 relations and 6612872 ideals in 1000000 cliques
  125. Thu Mar 24 19:02:17 2016 commencing in-memory singleton removal
  126. Thu Mar 24 19:02:23 2016 begin with 84755382 relations and 83413184 unique ideals
  127. Thu Mar 24 19:03:15 2016 reduce to 84322127 relations and 76360795 ideals in 9 passes
  128. Thu Mar 24 19:03:15 2016 max relations containing the same ideal: 195
  129. Thu Mar 24 19:03:47 2016 removing 5619185 relations and 4619185 ideals in 1000000 cliques
  130. Thu Mar 24 19:03:49 2016 commencing in-memory singleton removal
  131. Thu Mar 24 19:03:56 2016 begin with 78702942 relations and 76360795 unique ideals
  132. Thu Mar 24 19:04:42 2016 reduce to 78436655 relations and 71471981 ideals in 8 passes
  133. Thu Mar 24 19:04:42 2016 max relations containing the same ideal: 187
  134. Thu Mar 24 19:05:15 2016 removing 4980977 relations and 3980977 ideals in 1000000 cliques
  135. Thu Mar 24 19:05:16 2016 commencing in-memory singleton removal
  136. Thu Mar 24 19:05:21 2016 begin with 73455678 relations and 71471981 unique ideals
  137. Thu Mar 24 19:05:56 2016 reduce to 73229154 relations and 67261663 ideals in 7 passes
  138. Thu Mar 24 19:05:56 2016 max relations containing the same ideal: 181
  139. Thu Mar 24 19:06:24 2016 removing 4635619 relations and 3635619 ideals in 1000000 cliques
  140. Thu Mar 24 19:06:25 2016 commencing in-memory singleton removal
  141. Thu Mar 24 19:06:31 2016 begin with 68593535 relations and 67261663 unique ideals
  142. Thu Mar 24 19:07:11 2016 reduce to 68384146 relations and 63413987 ideals in 8 passes
  143. Thu Mar 24 19:07:11 2016 max relations containing the same ideal: 174
  144. Thu Mar 24 19:07:39 2016 removing 4409795 relations and 3409795 ideals in 1000000 cliques
  145. Thu Mar 24 19:07:40 2016 commencing in-memory singleton removal
  146. Thu Mar 24 19:07:45 2016 begin with 63974351 relations and 63413987 unique ideals
  147. Thu Mar 24 19:08:23 2016 reduce to 63772459 relations and 59799685 ideals in 8 passes
  148. Thu Mar 24 19:08:23 2016 max relations containing the same ideal: 165
  149. Thu Mar 24 19:08:49 2016 removing 4247534 relations and 3247534 ideals in 1000000 cliques
  150. Thu Mar 24 19:08:50 2016 commencing in-memory singleton removal
  151. Thu Mar 24 19:08:55 2016 begin with 59524925 relations and 59799685 unique ideals
  152. Thu Mar 24 19:09:25 2016 reduce to 59322961 relations and 56347355 ideals in 7 passes
  153. Thu Mar 24 19:09:25 2016 max relations containing the same ideal: 157
  154. Thu Mar 24 19:09:49 2016 removing 4139724 relations and 3139724 ideals in 1000000 cliques
  155. Thu Mar 24 19:09:50 2016 commencing in-memory singleton removal
  156. Thu Mar 24 19:09:55 2016 begin with 55183237 relations and 56347355 unique ideals
  157. Thu Mar 24 19:10:26 2016 reduce to 54974660 relations and 52996060 ideals in 8 passes
  158. Thu Mar 24 19:10:26 2016 max relations containing the same ideal: 150
  159. Thu Mar 24 19:10:49 2016 removing 4062376 relations and 3062376 ideals in 1000000 cliques
  160. Thu Mar 24 19:10:50 2016 commencing in-memory singleton removal
  161. Thu Mar 24 19:10:54 2016 begin with 50912284 relations and 52996060 unique ideals
  162. Thu Mar 24 19:11:23 2016 reduce to 50695092 relations and 49713142 ideals in 8 passes
  163. Thu Mar 24 19:11:23 2016 max relations containing the same ideal: 144
  164. Thu Mar 24 19:11:44 2016 removing 2007119 relations and 1579144 ideals in 427975 cliques
  165. Thu Mar 24 19:11:45 2016 commencing in-memory singleton removal
  166. Thu Mar 24 19:11:48 2016 begin with 48687973 relations and 49713142 unique ideals
  167. Thu Mar 24 19:12:09 2016 reduce to 48634145 relations and 48079751 ideals in 6 passes
  168. Thu Mar 24 19:12:09 2016 max relations containing the same ideal: 138
  169. Thu Mar 24 19:12:36 2016 relations with 0 large ideals: 17612
  170. Thu Mar 24 19:12:36 2016 relations with 1 large ideals: 5024
  171. Thu Mar 24 19:12:36 2016 relations with 2 large ideals: 51683
  172. Thu Mar 24 19:12:36 2016 relations with 3 large ideals: 437447
  173. Thu Mar 24 19:12:36 2016 relations with 4 large ideals: 2093422
  174. Thu Mar 24 19:12:36 2016 relations with 5 large ideals: 6055526
  175. Thu Mar 24 19:12:36 2016 relations with 6 large ideals: 11033132
  176. Thu Mar 24 19:12:36 2016 relations with 7+ large ideals: 28940299
  177. Thu Mar 24 19:12:36 2016 commencing 2-way merge
  178. Thu Mar 24 19:13:02 2016 reduce to 32279680 relation sets and 31725286 unique ideals
  179. Thu Mar 24 19:13:02 2016 commencing full merge
  180. Thu Mar 24 19:22:59 2016 memory use: 4089.0 MB
  181. Thu Mar 24 19:23:01 2016 found 14523094 cycles, need 14521486
  182. Thu Mar 24 19:23:05 2016 weight of 14521486 cycles is about 1684839115 (116.02/cycle)
  183. Thu Mar 24 19:23:05 2016 distribution of cycle lengths:
  184. Thu Mar 24 19:23:05 2016 1 relations: 673922
  185. Thu Mar 24 19:23:05 2016 2 relations: 958402
  186. Thu Mar 24 19:23:05 2016 3 relations: 1113065
  187. Thu Mar 24 19:23:05 2016 4 relations: 1137852
  188. Thu Mar 24 19:23:05 2016 5 relations: 1135425
  189. Thu Mar 24 19:23:05 2016 6 relations: 1085813
  190. Thu Mar 24 19:23:05 2016 7 relations: 1035711
  191. Thu Mar 24 19:23:05 2016 8 relations: 970357
  192. Thu Mar 24 19:23:05 2016 9 relations: 898536
  193. Thu Mar 24 19:23:05 2016 10+ relations: 5512403
  194. Thu Mar 24 19:23:05 2016 heaviest cycle: 28 relations
  195. Thu Mar 24 19:23:09 2016 commencing cycle optimization
  196. Thu Mar 24 19:23:30 2016 start with 125378824 relations
  197. Thu Mar 24 19:27:20 2016 pruned 5308882 relations
  198. Thu Mar 24 19:27:21 2016 memory use: 3324.5 MB
  199. Thu Mar 24 19:27:21 2016 distribution of cycle lengths:
  200. Thu Mar 24 19:27:21 2016 1 relations: 673922
  201. Thu Mar 24 19:27:21 2016 2 relations: 982940
  202. Thu Mar 24 19:27:21 2016 3 relations: 1161264
  203. Thu Mar 24 19:27:21 2016 4 relations: 1184578
  204. Thu Mar 24 19:27:21 2016 5 relations: 1187507
  205. Thu Mar 24 19:27:21 2016 6 relations: 1131533
  206. Thu Mar 24 19:27:21 2016 7 relations: 1079864
  207. Thu Mar 24 19:27:21 2016 8 relations: 1005703
  208. Thu Mar 24 19:27:21 2016 9 relations: 928667
  209. Thu Mar 24 19:27:21 2016 10+ relations: 5185508
  210. Thu Mar 24 19:27:21 2016 heaviest cycle: 28 relations
  211. Thu Mar 24 19:27:47 2016 RelProcTime: 5813
  212. Thu Mar 24 19:27:47 2016
  213. Thu Mar 24 19:27:47 2016 commencing linear algebra
  214. Thu Mar 24 19:27:48 2016 read 14521486 cycles
  215. Thu Mar 24 19:28:23 2016 cycles contain 48328497 unique relations
  216. Thu Mar 24 19:35:08 2016 read 48328497 relations
  217. Thu Mar 24 19:36:22 2016 using 20 quadratic characters above 4294917295
  218. Thu Mar 24 19:39:15 2016 building initial matrix
  219. Thu Mar 24 19:47:13 2016 memory use: 6250.1 MB
  220. Thu Mar 24 19:47:19 2016 read 14521486 cycles
  221. Thu Mar 24 19:47:21 2016 matrix is 14521309 x 14521486 (6569.9 MB) with weight 1899525786 (130.81/col)
  222. Thu Mar 24 19:47:21 2016 sparse part has weight 1577034366 (108.60/col)
  223. Thu Mar 24 19:50:02 2016 filtering completed in 2 passes
  224. Thu Mar 24 19:50:04 2016 matrix is 14521267 x 14521444 (6569.9 MB) with weight 1899524432 (130.81/col)
  225. Thu Mar 24 19:50:04 2016 sparse part has weight 1577034040 (108.60/col)
  226. Thu Mar 24 19:54:04 2016 matrix starts at (0, 0)
  227. Thu Mar 24 19:54:05 2016 matrix is 14521267 x 14521444 (6569.9 MB) with weight 1899524432 (130.81/col)
  228. Thu Mar 24 19:54:05 2016 sparse part has weight 1577034040 (108.60/col)
  229. Thu Mar 24 19:54:05 2016 saving the first 48 matrix rows for later
  230. Thu Mar 24 19:54:08 2016 matrix includes 64 packed rows
  231. Thu Mar 24 19:54:09 2016 matrix is 14521219 x 14521444 (6307.2 MB) with weight 1616796424 (111.34/col)
  232. Thu Mar 24 19:54:09 2016 sparse part has weight 1508169454 (103.86/col)
  233. Thu Mar 24 19:54:10 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  234. Thu Mar 24 19:55:05 2016 commencing Lanczos iteration (4 threads)
  235. Thu Mar 24 19:55:05 2016 memory use: 5396.4 MB
  236. Thu Mar 24 19:56:12 2016 linear algebra at 0.0%, ETA 172h42m
  237. Thu Mar 24 19:56:34 2016 checkpointing every 90000 dimensions
  238. Thu Mar 31 20:10:17 2016 lanczos halted after 229638 iterations (dim = 14521215)
  239. Thu Mar 31 20:10:39 2016 recovered 35 nontrivial dependencies
  240. Thu Mar 31 20:10:40 2016 BLanczosTime: 607373
  241. Thu Mar 31 20:10:40 2016
  242. Thu Mar 31 20:10:40 2016 commencing square root phase
  243. Thu Mar 31 20:10:40 2016 handling dependencies 1 to 64
  244. Thu Mar 31 20:10:40 2016 reading relations for dependency 1
  245. Thu Mar 31 20:10:48 2016 read 7259687 cycles
  246. Thu Mar 31 20:10:58 2016 cycles contain 24163078 unique relations
  247. Thu Mar 31 20:16:38 2016 read 24163078 relations
  248. Thu Mar 31 20:18:00 2016 multiplying 24163078 relations
  249. Thu Mar 31 20:37:12 2016 multiply complete, coefficients have about 803.12 million bits
  250. Thu Mar 31 20:37:14 2016 initial square root is modulo 16038691
  251. Thu Mar 31 20:57:03 2016 GCD is N, no factor found
  252. Thu Mar 31 20:57:03 2016 reading relations for dependency 2
  253. Thu Mar 31 20:57:12 2016 read 7261573 cycles
  254. Thu Mar 31 20:57:24 2016 cycles contain 24159648 unique relations
  255. Thu Mar 31 21:03:13 2016 read 24159648 relations
  256. Thu Mar 31 21:04:41 2016 multiplying 24159648 relations
  257. Thu Mar 31 21:23:51 2016 multiply complete, coefficients have about 802.99 million bits
  258. Thu Mar 31 21:23:54 2016 initial square root is modulo 15997957
  259. Thu Mar 31 21:43:28 2016 sqrtTime: 5568
  260. Thu Mar 31 21:43:28 2016 p75 factor: 447503944204251253385550074563481476341705448852420669334114424242887810871
  261. Thu Mar 31 21:43:28 2016 p119 factor: 15770101990356358948677487843718781326727726740565118277510833866339355513576590308908476278203812784200439394463506731
  262. Thu Mar 31 21:43:28 2016 elapsed time 171:52:36
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