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C193_146_35

Mar 7th, 2016
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  1. Tue Mar 1 10:44:04 2016
  2. Tue Mar 1 10:44:04 2016
  3. Tue Mar 1 10:44:04 2016 Msieve v. 1.53 (SVN 991)
  4. Tue Mar 1 10:44:04 2016 random seeds: f942147c 639409d7
  5. Tue Mar 1 10:44:04 2016 factoring 7696592341935484894323179696449177620540994610846498091454797556210125568623665705435748603739870295450406337472573229500165172669582522707750154119420874037636258171815091869344517859086217811 (193 digits)
  6. Tue Mar 1 10:44:06 2016 no P-1/P+1/ECM available, skipping
  7. Tue Mar 1 10:44:06 2016 commencing number field sieve (193-digit input)
  8. Tue Mar 1 10:44:06 2016 R0: 9685390482496
  9. Tue Mar 1 10:44:06 2016 R1: -11419131242070580387175083160400390625
  10. Tue Mar 1 10:44:06 2016 A0: 178850
  11. Tue Mar 1 10:44:06 2016 A1: 0
  12. Tue Mar 1 10:44:06 2016 A2: 0
  13. Tue Mar 1 10:44:06 2016 A3: 0
  14. Tue Mar 1 10:44:06 2016 A4: 0
  15. Tue Mar 1 10:44:06 2016 A5: 0
  16. Tue Mar 1 10:44:06 2016 A6: 1
  17. Tue Mar 1 10:44:06 2016 skew 1.00, size 1.047e-11, alpha 0.931, combined = 5.963e-13 rroots = 0
  18. Tue Mar 1 10:44:06 2016
  19. Tue Mar 1 10:44:06 2016 commencing relation filtering
  20. Tue Mar 1 10:44:06 2016 setting target matrix density to 120.0
  21. Tue Mar 1 10:44:06 2016 estimated available RAM is 16010.6 MB
  22. Tue Mar 1 10:44:06 2016 commencing duplicate removal, pass 1
  23. Tue Mar 1 10:58:36 2016 error -11 reading relation 55274330
  24. Tue Mar 1 11:06:37 2016 found 3382915 hash collisions in 87559159 relations
  25. Tue Mar 1 11:07:12 2016 added 1219797 free relations
  26. Tue Mar 1 11:07:12 2016 commencing duplicate removal, pass 2
  27. Tue Mar 1 11:08:02 2016 found 0 duplicates and 88778956 unique relations
  28. Tue Mar 1 11:08:02 2016 memory use: 261.2 MB
  29. Tue Mar 1 11:08:02 2016 reading ideals above 67043328
  30. Tue Mar 1 11:08:02 2016 commencing singleton removal, initial pass
  31. Tue Mar 1 11:26:08 2016 memory use: 1506.0 MB
  32. Tue Mar 1 11:26:08 2016 reading all ideals from disk
  33. Tue Mar 1 11:26:10 2016 memory use: 1679.0 MB
  34. Tue Mar 1 11:26:19 2016 commencing in-memory singleton removal
  35. Tue Mar 1 11:26:27 2016 begin with 88778956 relations and 80425431 unique ideals
  36. Tue Mar 1 11:27:52 2016 reduce to 50462454 relations and 37438277 ideals in 16 passes
  37. Tue Mar 1 11:27:52 2016 max relations containing the same ideal: 34
  38. Tue Mar 1 11:27:59 2016 reading ideals above 720000
  39. Tue Mar 1 11:28:00 2016 commencing singleton removal, initial pass
  40. Tue Mar 1 11:41:44 2016 memory use: 1378.0 MB
  41. Tue Mar 1 11:41:44 2016 reading all ideals from disk
  42. Tue Mar 1 11:41:47 2016 memory use: 1914.2 MB
  43. Tue Mar 1 11:41:57 2016 keeping 45085479 ideals with weight <= 200, target excess is 263827
  44. Tue Mar 1 11:42:07 2016 commencing in-memory singleton removal
  45. Tue Mar 1 11:42:17 2016 begin with 50462456 relations and 45085479 unique ideals
  46. Tue Mar 1 11:43:41 2016 reduce to 50461888 relations and 45084905 ideals in 7 passes
  47. Tue Mar 1 11:43:41 2016 max relations containing the same ideal: 200
  48. Tue Mar 1 11:44:28 2016 removing 6098573 relations and 5098573 ideals in 1000000 cliques
  49. Tue Mar 1 11:44:32 2016 commencing in-memory singleton removal
  50. Tue Mar 1 11:44:40 2016 begin with 44363315 relations and 45084905 unique ideals
  51. Tue Mar 1 11:46:21 2016 reduce to 43768373 relations and 39376158 ideals in 10 passes
  52. Tue Mar 1 11:46:21 2016 max relations containing the same ideal: 191
  53. Tue Mar 1 11:47:00 2016 removing 4684487 relations and 3684487 ideals in 1000000 cliques
  54. Tue Mar 1 11:47:03 2016 commencing in-memory singleton removal
  55. Tue Mar 1 11:47:09 2016 begin with 39083886 relations and 39376158 unique ideals
  56. Tue Mar 1 11:48:20 2016 reduce to 38698465 relations and 35297258 ideals in 8 passes
  57. Tue Mar 1 11:48:20 2016 max relations containing the same ideal: 177
  58. Tue Mar 1 11:48:56 2016 removing 4228815 relations and 3228815 ideals in 1000000 cliques
  59. Tue Mar 1 11:48:58 2016 commencing in-memory singleton removal
  60. Tue Mar 1 11:49:05 2016 begin with 34469650 relations and 35297258 unique ideals
  61. Tue Mar 1 11:49:53 2016 reduce to 34128509 relations and 31719106 ideals in 8 passes
  62. Tue Mar 1 11:49:53 2016 max relations containing the same ideal: 162
  63. Tue Mar 1 11:50:18 2016 removing 3978844 relations and 2978844 ideals in 1000000 cliques
  64. Tue Mar 1 11:50:20 2016 commencing in-memory singleton removal
  65. Tue Mar 1 11:50:24 2016 begin with 30149665 relations and 31719106 unique ideals
  66. Tue Mar 1 11:51:03 2016 reduce to 29816240 relations and 28397948 ideals in 7 passes
  67. Tue Mar 1 11:51:03 2016 max relations containing the same ideal: 149
  68. Tue Mar 1 11:51:31 2016 removing 3821944 relations and 2821944 ideals in 1000000 cliques
  69. Tue Mar 1 11:51:33 2016 commencing in-memory singleton removal
  70. Tue Mar 1 11:51:38 2016 begin with 25994296 relations and 28397948 unique ideals
  71. Tue Mar 1 11:52:12 2016 reduce to 25647821 relations and 25219323 ideals in 8 passes
  72. Tue Mar 1 11:52:12 2016 max relations containing the same ideal: 134
  73. Tue Mar 1 11:52:34 2016 removing 681254 relations and 558796 ideals in 122458 cliques
  74. Tue Mar 1 11:52:35 2016 commencing in-memory singleton removal
  75. Tue Mar 1 11:52:38 2016 begin with 24966567 relations and 25219323 unique ideals
  76. Tue Mar 1 11:53:05 2016 reduce to 24955482 relations and 24649391 ideals in 6 passes
  77. Tue Mar 1 11:53:05 2016 max relations containing the same ideal: 133
  78. Tue Mar 1 11:53:16 2016 relations with 0 large ideals: 9600
  79. Tue Mar 1 11:53:16 2016 relations with 1 large ideals: 2545
  80. Tue Mar 1 11:53:16 2016 relations with 2 large ideals: 19719
  81. Tue Mar 1 11:53:16 2016 relations with 3 large ideals: 180831
  82. Tue Mar 1 11:53:16 2016 relations with 4 large ideals: 924827
  83. Tue Mar 1 11:53:16 2016 relations with 5 large ideals: 2838851
  84. Tue Mar 1 11:53:16 2016 relations with 6 large ideals: 5469844
  85. Tue Mar 1 11:53:16 2016 relations with 7+ large ideals: 15509265
  86. Tue Mar 1 11:53:16 2016 commencing 2-way merge
  87. Tue Mar 1 11:53:46 2016 reduce to 16493401 relation sets and 16187310 unique ideals
  88. Tue Mar 1 11:53:46 2016 commencing full merge
  89. Tue Mar 1 12:23:01 2016 memory use: 746.0 MB
  90. Tue Mar 1 12:23:01 2016 found 30047 cycles, need 3377027
  91. Tue Mar 1 12:23:01 2016 too few cycles, matrix probably cannot build
  92. Wed Mar 2 11:23:51 2016
  93. Wed Mar 2 11:23:51 2016
  94. Wed Mar 2 11:23:51 2016 Msieve v. 1.53 (SVN 991)
  95. Wed Mar 2 11:23:51 2016 random seeds: feb8a332 b4128fd1
  96. Wed Mar 2 11:23:51 2016 factoring 7696592341935484894323179696449177620540994610846498091454797556210125568623665705435748603739870295450406337472573229500165172669582522707750154119420874037636258171815091869344517859086217811 (193 digits)
  97. Wed Mar 2 11:23:53 2016 no P-1/P+1/ECM available, skipping
  98. Wed Mar 2 11:23:53 2016 commencing number field sieve (193-digit input)
  99. Wed Mar 2 11:23:53 2016 R0: 9685390482496
  100. Wed Mar 2 11:23:53 2016 R1: -11419131242070580387175083160400390625
  101. Wed Mar 2 11:23:53 2016 A0: 178850
  102. Wed Mar 2 11:23:53 2016 A1: 0
  103. Wed Mar 2 11:23:53 2016 A2: 0
  104. Wed Mar 2 11:23:53 2016 A3: 0
  105. Wed Mar 2 11:23:53 2016 A4: 0
  106. Wed Mar 2 11:23:53 2016 A5: 0
  107. Wed Mar 2 11:23:53 2016 A6: 1
  108. Wed Mar 2 11:23:53 2016 skew 1.00, size 1.047e-11, alpha 0.931, combined = 5.963e-13 rroots = 0
  109. Wed Mar 2 11:23:53 2016
  110. Wed Mar 2 11:23:53 2016 commencing relation filtering
  111. Wed Mar 2 11:23:53 2016 setting target matrix density to 110.0
  112. Wed Mar 2 11:23:53 2016 estimated available RAM is 16010.6 MB
  113. Wed Mar 2 11:23:53 2016 commencing duplicate removal, pass 1
  114. Wed Mar 2 11:38:27 2016 error -11 reading relation 55274330
  115. Wed Mar 2 11:47:20 2016 found 3465761 hash collisions in 88649076 relations
  116. Wed Mar 2 11:47:55 2016 added 1219797 free relations
  117. Wed Mar 2 11:47:55 2016 commencing duplicate removal, pass 2
  118. Wed Mar 2 11:48:47 2016 found 0 duplicates and 89868873 unique relations
  119. Wed Mar 2 11:48:47 2016 memory use: 261.2 MB
  120. Wed Mar 2 11:48:47 2016 reading ideals above 67043328
  121. Wed Mar 2 11:48:47 2016 commencing singleton removal, initial pass
  122. Wed Mar 2 12:07:08 2016 memory use: 1506.0 MB
  123. Wed Mar 2 12:07:08 2016 reading all ideals from disk
  124. Wed Mar 2 12:07:10 2016 memory use: 1701.6 MB
  125. Wed Mar 2 12:07:18 2016 commencing in-memory singleton removal
  126. Wed Mar 2 12:07:27 2016 begin with 89868873 relations and 80771527 unique ideals
  127. Wed Mar 2 12:09:05 2016 reduce to 51985276 relations and 38360696 ideals in 15 passes
  128. Wed Mar 2 12:09:05 2016 max relations containing the same ideal: 35
  129. Wed Mar 2 12:09:12 2016 reading ideals above 720000
  130. Wed Mar 2 12:09:13 2016 commencing singleton removal, initial pass
  131. Wed Mar 2 12:23:00 2016 memory use: 1378.0 MB
  132. Wed Mar 2 12:23:01 2016 reading all ideals from disk
  133. Wed Mar 2 12:23:03 2016 memory use: 1972.6 MB
  134. Wed Mar 2 12:23:14 2016 keeping 45999446 ideals with weight <= 200, target excess is 272285
  135. Wed Mar 2 12:23:26 2016 commencing in-memory singleton removal
  136. Wed Mar 2 12:23:35 2016 begin with 51985278 relations and 45999446 unique ideals
  137. Wed Mar 2 12:24:44 2016 reduce to 51984866 relations and 45999028 ideals in 6 passes
  138. Wed Mar 2 12:24:44 2016 max relations containing the same ideal: 200
  139. Wed Mar 2 12:25:34 2016 removing 6016300 relations and 5016300 ideals in 1000000 cliques
  140. Wed Mar 2 12:25:38 2016 commencing in-memory singleton removal
  141. Wed Mar 2 12:25:46 2016 begin with 45968566 relations and 45999028 unique ideals
  142. Wed Mar 2 12:27:25 2016 reduce to 45410294 relations and 40410660 ideals in 9 passes
  143. Wed Mar 2 12:27:25 2016 max relations containing the same ideal: 190
  144. Wed Mar 2 12:28:09 2016 removing 4625225 relations and 3625225 ideals in 1000000 cliques
  145. Wed Mar 2 12:28:12 2016 commencing in-memory singleton removal
  146. Wed Mar 2 12:28:19 2016 begin with 40785069 relations and 40410660 unique ideals
  147. Wed Mar 2 12:29:26 2016 reduce to 40423436 relations and 36415709 ideals in 8 passes
  148. Wed Mar 2 12:29:26 2016 max relations containing the same ideal: 177
  149. Wed Mar 2 12:29:57 2016 removing 4177002 relations and 3177002 ideals in 1000000 cliques
  150. Wed Mar 2 12:30:00 2016 commencing in-memory singleton removal
  151. Wed Mar 2 12:30:06 2016 begin with 36246434 relations and 36415709 unique ideals
  152. Wed Mar 2 12:31:12 2016 reduce to 35927477 relations and 32912426 ideals in 8 passes
  153. Wed Mar 2 12:31:12 2016 max relations containing the same ideal: 164
  154. Wed Mar 2 12:31:47 2016 removing 3933522 relations and 2933522 ideals in 1000000 cliques
  155. Wed Mar 2 12:31:49 2016 commencing in-memory singleton removal
  156. Wed Mar 2 12:31:55 2016 begin with 31993955 relations and 32912426 unique ideals
  157. Wed Mar 2 12:32:59 2016 reduce to 31685646 relations and 29662781 ideals in 9 passes
  158. Wed Mar 2 12:32:59 2016 max relations containing the same ideal: 150
  159. Wed Mar 2 12:33:29 2016 removing 3776175 relations and 2776175 ideals in 1000000 cliques
  160. Wed Mar 2 12:33:31 2016 commencing in-memory singleton removal
  161. Wed Mar 2 12:33:34 2016 begin with 27909471 relations and 29662781 unique ideals
  162. Wed Mar 2 12:34:19 2016 reduce to 27594820 relations and 26563228 ideals in 8 passes
  163. Wed Mar 2 12:34:19 2016 max relations containing the same ideal: 140
  164. Wed Mar 2 12:34:46 2016 removing 2803501 relations and 2087760 ideals in 715741 cliques
  165. Wed Mar 2 12:34:48 2016 commencing in-memory singleton removal
  166. Wed Mar 2 12:34:52 2016 begin with 24791319 relations and 26563228 unique ideals
  167. Wed Mar 2 12:35:28 2016 reduce to 24599093 relations and 24278795 ideals in 8 passes
  168. Wed Mar 2 12:35:28 2016 max relations containing the same ideal: 130
  169. Wed Mar 2 12:35:52 2016 relations with 0 large ideals: 9899
  170. Wed Mar 2 12:35:52 2016 relations with 1 large ideals: 2728
  171. Wed Mar 2 12:35:52 2016 relations with 2 large ideals: 21700
  172. Wed Mar 2 12:35:52 2016 relations with 3 large ideals: 194060
  173. Wed Mar 2 12:35:52 2016 relations with 4 large ideals: 972315
  174. Wed Mar 2 12:35:52 2016 relations with 5 large ideals: 2918159
  175. Wed Mar 2 12:35:52 2016 relations with 6 large ideals: 5497167
  176. Wed Mar 2 12:35:52 2016 relations with 7+ large ideals: 14983065
  177. Wed Mar 2 12:35:52 2016 commencing 2-way merge
  178. Wed Mar 2 12:36:15 2016 reduce to 16348163 relation sets and 16027865 unique ideals
  179. Wed Mar 2 12:36:15 2016 commencing full merge
  180. Wed Mar 2 12:48:20 2016 memory use: 2145.7 MB
  181. Wed Mar 2 12:48:21 2016 found 7537770 cycles, need 7528065
  182. Wed Mar 2 12:48:24 2016 weight of 7528065 cycles is about 828103935 (110.00/cycle)
  183. Wed Mar 2 12:48:24 2016 distribution of cycle lengths:
  184. Wed Mar 2 12:48:24 2016 1 relations: 326421
  185. Wed Mar 2 12:48:24 2016 2 relations: 515462
  186. Wed Mar 2 12:48:24 2016 3 relations: 606789
  187. Wed Mar 2 12:48:24 2016 4 relations: 618281
  188. Wed Mar 2 12:48:24 2016 5 relations: 615585
  189. Wed Mar 2 12:48:24 2016 6 relations: 593212
  190. Wed Mar 2 12:48:24 2016 7 relations: 562049
  191. Wed Mar 2 12:48:24 2016 8 relations: 522303
  192. Wed Mar 2 12:48:24 2016 9 relations: 482403
  193. Wed Mar 2 12:48:24 2016 10+ relations: 2685560
  194. Wed Mar 2 12:48:24 2016 heaviest cycle: 28 relations
  195. Wed Mar 2 12:48:27 2016 commencing cycle optimization
  196. Wed Mar 2 12:48:50 2016 start with 62784587 relations
  197. Wed Mar 2 12:53:17 2016 pruned 2683983 relations
  198. Wed Mar 2 12:53:17 2016 memory use: 1676.6 MB
  199. Wed Mar 2 12:53:17 2016 distribution of cycle lengths:
  200. Wed Mar 2 12:53:17 2016 1 relations: 326421
  201. Wed Mar 2 12:53:17 2016 2 relations: 528559
  202. Wed Mar 2 12:53:17 2016 3 relations: 633473
  203. Wed Mar 2 12:53:17 2016 4 relations: 643612
  204. Wed Mar 2 12:53:17 2016 5 relations: 645034
  205. Wed Mar 2 12:53:17 2016 6 relations: 617895
  206. Wed Mar 2 12:53:17 2016 7 relations: 586730
  207. Wed Mar 2 12:53:17 2016 8 relations: 541396
  208. Wed Mar 2 12:53:17 2016 9 relations: 498407
  209. Wed Mar 2 12:53:17 2016 10+ relations: 2506538
  210. Wed Mar 2 12:53:17 2016 heaviest cycle: 28 relations
  211. Wed Mar 2 12:53:35 2016 RelProcTime: 5382
  212. Wed Mar 2 12:53:35 2016
  213. Wed Mar 2 12:53:35 2016 commencing linear algebra
  214. Wed Mar 2 12:53:40 2016 read 7528065 cycles
  215. Wed Mar 2 12:54:10 2016 cycles contain 24383750 unique relations
  216. Wed Mar 2 12:58:31 2016 read 24383750 relations
  217. Wed Mar 2 12:59:43 2016 using 20 quadratic characters above 4294917295
  218. Wed Mar 2 13:02:33 2016 building initial matrix
  219. Wed Mar 2 13:13:34 2016 memory use: 3141.6 MB
  220. Wed Mar 2 13:13:41 2016 read 7528065 cycles
  221. Wed Mar 2 13:13:43 2016 matrix is 7527888 x 7528065 (3299.7 MB) with weight 948323709 (125.97/col)
  222. Wed Mar 2 13:13:43 2016 sparse part has weight 782192553 (103.90/col)
  223. Wed Mar 2 13:16:33 2016 filtering completed in 2 passes
  224. Wed Mar 2 13:16:35 2016 matrix is 7527805 x 7527982 (3299.7 MB) with weight 948321253 (125.97/col)
  225. Wed Mar 2 13:16:35 2016 sparse part has weight 782191907 (103.90/col)
  226. Wed Mar 2 13:17:05 2016 matrix starts at (0, 0)
  227. Wed Mar 2 13:17:07 2016 matrix is 7527805 x 7527982 (3299.7 MB) with weight 948321253 (125.97/col)
  228. Wed Mar 2 13:17:07 2016 sparse part has weight 782191907 (103.90/col)
  229. Wed Mar 2 13:17:07 2016 saving the first 48 matrix rows for later
  230. Wed Mar 2 13:17:10 2016 matrix includes 64 packed rows
  231. Wed Mar 2 13:17:12 2016 matrix is 7527757 x 7527982 (3148.2 MB) with weight 809155042 (107.49/col)
  232. Wed Mar 2 13:17:12 2016 sparse part has weight 749998497 (99.63/col)
  233. Wed Mar 2 13:17:12 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  234. Wed Mar 2 13:18:10 2016 commencing Lanczos iteration (2 threads)
  235. Wed Mar 2 13:18:10 2016 memory use: 2655.4 MB
  236. Wed Mar 2 13:20:53 2016 linear algebra at 0.0%, ETA 217h39m
  237. Wed Mar 2 13:21:45 2016 checkpointing every 40000 dimensions
  238. Mon Mar 7 09:04:20 2016 lanczos halted after 119041 iterations (dim = 7527755)
  239. Mon Mar 7 09:04:30 2016 recovered 39 nontrivial dependencies
  240. Mon Mar 7 09:04:30 2016 BLanczosTime: 418255
  241. Mon Mar 7 09:04:30 2016
  242. Mon Mar 7 09:04:30 2016 commencing square root phase
  243. Mon Mar 7 09:04:30 2016 handling dependencies 1 to 64
  244. Mon Mar 7 09:04:30 2016 reading relations for dependency 1
  245. Mon Mar 7 09:04:31 2016 read 3765493 cycles
  246. Mon Mar 7 09:04:39 2016 cycles contain 12195458 unique relations
  247. Mon Mar 7 09:06:00 2016 read 12195458 relations
  248. Mon Mar 7 09:07:08 2016 multiplying 12195458 relations
  249. Mon Mar 7 09:20:06 2016 multiply complete, coefficients have about 318.40 million bits
  250. Mon Mar 7 09:20:08 2016 initial square root is modulo 516673
  251. Mon Mar 7 09:33:53 2016 GCD is N, no factor found
  252. Mon Mar 7 09:33:53 2016 reading relations for dependency 2
  253. Mon Mar 7 09:33:54 2016 read 3763784 cycles
  254. Mon Mar 7 09:34:02 2016 cycles contain 12191554 unique relations
  255. Mon Mar 7 09:35:22 2016 read 12191554 relations
  256. Mon Mar 7 09:36:32 2016 multiplying 12191554 relations
  257. Mon Mar 7 09:47:41 2016 multiply complete, coefficients have about 318.30 million bits
  258. Mon Mar 7 09:47:42 2016 initial square root is modulo 514669
  259. Mon Mar 7 09:59:57 2016 GCD is 1, no factor found
  260. Mon Mar 7 09:59:57 2016 reading relations for dependency 3
  261. Mon Mar 7 09:59:58 2016 read 3761584 cycles
  262. Mon Mar 7 10:00:07 2016 cycles contain 12185470 unique relations
  263. Mon Mar 7 10:01:27 2016 read 12185470 relations
  264. Mon Mar 7 10:02:37 2016 multiplying 12185470 relations
  265. Mon Mar 7 10:15:02 2016 multiply complete, coefficients have about 318.14 million bits
  266. Mon Mar 7 10:15:04 2016 initial square root is modulo 511111
  267. Mon Mar 7 10:26:51 2016 sqrtTime: 4941
  268. Mon Mar 7 10:26:51 2016 p73 factor: 7327548063132608434181872870518544222864755386045933779282355250804289829
  269. Mon Mar 7 10:26:51 2016 p121 factor: 1050363951982746315741179165768532452671157900974401213827016103594515595275523115907310107047395921745149383517252315159
  270. Mon Mar 7 10:26:51 2016 elapsed time 119:03:00
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