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  1. Wed May 28 18:16:12 2014
  2. Wed May 28 18:16:12 2014
  3. Wed May 28 18:16:12 2014 Msieve v. 1.52 (SVN 956)
  4. Wed May 28 18:16:12 2014 random seeds: 1be03510 493b593e
  5. Wed May 28 18:16:12 2014 factoring 4949437460549322270200635659376076612652427489596057035222136654211068408954525317880744473917641748010151903285549906246597739737664001751614752051502687803207313504684763412061540932663856087467201917752860419746101656588606607015201 (235 digits)
  6. Wed May 28 18:16:13 2014 no P-1/P+1/ECM available, skipping
  7. Wed May 28 18:16:14 2014 commencing number field sieve (235-digit input)
  8. Wed May 28 18:16:15 2014 R0: -21327100234463183349497947550385773274930109
  9. Wed May 28 18:16:15 2014 R1: 13180872826374098837632191485015125807374171
  10. Wed May 28 18:16:15 2014 A0: 4
  11. Wed May 28 18:16:15 2014 A1: -3
  12. Wed May 28 18:16:15 2014 A2: 30
  13. Wed May 28 18:16:15 2014 A3: 15
  14. Wed May 28 18:16:15 2014 A4: 45
  15. Wed May 28 18:16:15 2014 A5: 27
  16. Wed May 28 18:16:15 2014 A6: 6
  17. Wed May 28 18:16:15 2014 skew 1.00, size 7.183e-13, alpha 0.306, combined = 9.089e-14 rroots = 0
  18. Wed May 28 18:16:15 2014
  19. Wed May 28 18:16:15 2014 commencing relation filtering
  20. Wed May 28 18:16:15 2014 setting target matrix density to 112.0
  21. Wed May 28 18:16:15 2014 estimated available RAM is 15928.2 MB
  22. Wed May 28 18:16:15 2014 commencing duplicate removal, pass 1
  23. Wed May 28 18:16:22 2014 error -9 reading relation 859886
  24. ... 4940 more errors ...
  25. Wed May 28 18:33:17 2014 error -15 reading relation 247748246
  26. Wed May 28 18:33:19 2014 skipped 860 relations with b > 2^32
  27. Wed May 28 18:33:19 2014 found 53379901 hash collisions in 248332483 relations
  28. Wed May 28 18:33:31 2014 added 812293 free relations
  29. Wed May 28 18:33:31 2014 commencing duplicate removal, pass 2
  30. Wed May 28 18:34:51 2014 found 54302743 duplicates and 194842033 unique relations
  31. Wed May 28 18:34:51 2014 memory use: 1321.5 MB
  32. Wed May 28 18:34:51 2014 reading ideals above 189857792
  33. Wed May 28 18:34:51 2014 commencing singleton removal, initial pass
  34. Wed May 28 18:50:37 2014 memory use: 3012.0 MB
  35. Wed May 28 18:50:37 2014 reading all ideals from disk
  36. Wed May 28 18:50:43 2014 memory use: 3215.8 MB
  37. Wed May 28 18:50:49 2014 commencing in-memory singleton removal
  38. Wed May 28 18:50:55 2014 begin with 194842033 relations and 157362606 unique ideals
  39. Wed May 28 18:51:52 2014 reduce to 129104281 relations and 85238068 ideals in 13 passes
  40. Wed May 28 18:51:52 2014 max relations containing the same ideal: 36
  41. Wed May 28 18:51:58 2014 reading ideals above 720000
  42. Wed May 28 18:51:58 2014 commencing singleton removal, initial pass
  43. Wed May 28 19:05:49 2014 memory use: 2756.0 MB
  44. Wed May 28 19:05:50 2014 reading all ideals from disk
  45. Wed May 28 19:06:01 2014 memory use: 5298.1 MB
  46. Wed May 28 19:06:15 2014 keeping 105618661 ideals with weight <= 200, target excess is 710616
  47. Wed May 28 19:06:29 2014 commencing in-memory singleton removal
  48. Wed May 28 19:06:41 2014 begin with 129104281 relations and 105618661 unique ideals
  49. Wed May 28 19:08:03 2014 reduce to 129079481 relations and 105593856 ideals in 8 passes
  50. Wed May 28 19:08:03 2014 max relations containing the same ideal: 200
  51. Wed May 28 19:08:55 2014 removing 10891355 relations and 8891355 ideals in 2000000 cliques
  52. Wed May 28 19:08:58 2014 commencing in-memory singleton removal
  53. Wed May 28 19:09:09 2014 begin with 118188126 relations and 105593856 unique ideals
  54. Wed May 28 19:10:24 2014 reduce to 117526167 relations and 96028042 ideals in 8 passes
  55. Wed May 28 19:10:24 2014 max relations containing the same ideal: 196
  56. Wed May 28 19:11:13 2014 removing 8310914 relations and 6310914 ideals in 2000000 cliques
  57. Wed May 28 19:11:15 2014 commencing in-memory singleton removal
  58. Wed May 28 19:11:25 2014 begin with 109215253 relations and 96028042 unique ideals
  59. Wed May 28 19:12:25 2014 reduce to 108768877 relations and 89263318 ideals in 7 passes
  60. Wed May 28 19:12:25 2014 max relations containing the same ideal: 189
  61. Wed May 28 19:13:10 2014 removing 7542972 relations and 5542972 ideals in 2000000 cliques
  62. Wed May 28 19:13:12 2014 commencing in-memory singleton removal
  63. Wed May 28 19:13:21 2014 begin with 101225905 relations and 89263318 unique ideals
  64. Wed May 28 19:14:23 2014 reduce to 100830887 relations and 83318743 ideals in 8 passes
  65. Wed May 28 19:14:23 2014 max relations containing the same ideal: 182
  66. Wed May 28 19:15:05 2014 removing 7148314 relations and 5148314 ideals in 2000000 cliques
  67. Wed May 28 19:15:08 2014 commencing in-memory singleton removal
  68. Wed May 28 19:15:16 2014 begin with 93682573 relations and 83318743 unique ideals
  69. Wed May 28 19:16:06 2014 reduce to 93309996 relations and 77791341 ideals in 7 passes
  70. Wed May 28 19:16:06 2014 max relations containing the same ideal: 172
  71. Wed May 28 19:16:45 2014 removing 6907746 relations and 4907746 ideals in 2000000 cliques
  72. Wed May 28 19:16:47 2014 commencing in-memory singleton removal
  73. Wed May 28 19:16:55 2014 begin with 86402250 relations and 77791341 unique ideals
  74. Wed May 28 19:17:41 2014 reduce to 86033798 relations and 72508328 ideals in 7 passes
  75. Wed May 28 19:17:41 2014 max relations containing the same ideal: 165
  76. Wed May 28 19:18:17 2014 removing 6748279 relations and 4748279 ideals in 2000000 cliques
  77. Wed May 28 19:18:19 2014 commencing in-memory singleton removal
  78. Wed May 28 19:18:26 2014 begin with 79285519 relations and 72508328 unique ideals
  79. Wed May 28 19:19:14 2014 reduce to 78914978 relations and 67381962 ideals in 8 passes
  80. Wed May 28 19:19:14 2014 max relations containing the same ideal: 153
  81. Wed May 28 19:19:47 2014 removing 6638082 relations and 4638082 ideals in 2000000 cliques
  82. Wed May 28 19:19:49 2014 commencing in-memory singleton removal
  83. Wed May 28 19:19:55 2014 begin with 72276896 relations and 67381962 unique ideals
  84. Wed May 28 19:20:39 2014 reduce to 71894863 relations and 62353638 ideals in 8 passes
  85. Wed May 28 19:20:39 2014 max relations containing the same ideal: 146
  86. Wed May 28 19:21:09 2014 removing 6559733 relations and 4559733 ideals in 2000000 cliques
  87. Wed May 28 19:21:11 2014 commencing in-memory singleton removal
  88. Wed May 28 19:21:17 2014 begin with 65335130 relations and 62353638 unique ideals
  89. Wed May 28 19:21:51 2014 reduce to 64933186 relations and 57382753 ideals in 7 passes
  90. Wed May 28 19:21:51 2014 max relations containing the same ideal: 137
  91. Wed May 28 19:22:19 2014 removing 6511446 relations and 4511446 ideals in 2000000 cliques
  92. Wed May 28 19:22:21 2014 commencing in-memory singleton removal
  93. Wed May 28 19:22:25 2014 begin with 58421740 relations and 57382753 unique ideals
  94. Wed May 28 19:22:56 2014 reduce to 57991181 relations and 52429901 ideals in 7 passes
  95. Wed May 28 19:22:56 2014 max relations containing the same ideal: 134
  96. Wed May 28 19:23:21 2014 removing 6485568 relations and 4485568 ideals in 2000000 cliques
  97. Wed May 28 19:23:22 2014 commencing in-memory singleton removal
  98. Wed May 28 19:23:27 2014 begin with 51505613 relations and 52429901 unique ideals
  99. Wed May 28 19:23:53 2014 reduce to 51031181 relations and 47456422 ideals in 7 passes
  100. Wed May 28 19:23:53 2014 max relations containing the same ideal: 120
  101. Wed May 28 19:24:15 2014 removing 6485229 relations and 4485229 ideals in 2000000 cliques
  102. Wed May 28 19:24:16 2014 commencing in-memory singleton removal
  103. Wed May 28 19:24:20 2014 begin with 44545952 relations and 47456422 unique ideals
  104. Wed May 28 19:24:46 2014 reduce to 43997901 relations and 42405554 ideals in 8 passes
  105. Wed May 28 19:24:46 2014 max relations containing the same ideal: 105
  106. Wed May 28 19:25:05 2014 removing 3014647 relations and 2246615 ideals in 768032 cliques
  107. Wed May 28 19:25:06 2014 commencing in-memory singleton removal
  108. Wed May 28 19:25:09 2014 begin with 40983254 relations and 42405554 unique ideals
  109. Wed May 28 19:25:33 2014 reduce to 40849247 relations and 40022992 ideals in 8 passes
  110. Wed May 28 19:25:33 2014 max relations containing the same ideal: 101
  111. Wed May 28 19:25:56 2014 relations with 0 large ideals: 18249
  112. Wed May 28 19:25:56 2014 relations with 1 large ideals: 5917
  113. Wed May 28 19:25:56 2014 relations with 2 large ideals: 90186
  114. Wed May 28 19:25:56 2014 relations with 3 large ideals: 671978
  115. Wed May 28 19:25:56 2014 relations with 4 large ideals: 2716865
  116. Wed May 28 19:25:56 2014 relations with 5 large ideals: 6616740
  117. Wed May 28 19:25:56 2014 relations with 6 large ideals: 10209611
  118. Wed May 28 19:25:56 2014 relations with 7+ large ideals: 20519701
  119. Wed May 28 19:25:56 2014 commencing 2-way merge
  120. Wed May 28 19:26:18 2014 reduce to 27363893 relation sets and 26537638 unique ideals
  121. Wed May 28 19:26:18 2014 commencing full merge
  122. Wed May 28 19:34:00 2014 memory use: 3483.7 MB
  123. Wed May 28 19:34:02 2014 found 12850169 cycles, need 12757838
  124. Wed May 28 19:34:05 2014 weight of 12757838 cycles is about 1429130322 (112.02/cycle)
  125. Wed May 28 19:34:05 2014 distribution of cycle lengths:
  126. Wed May 28 19:34:05 2014 1 relations: 594537
  127. Wed May 28 19:34:05 2014 2 relations: 840039
  128. Wed May 28 19:34:05 2014 3 relations: 1010178
  129. Wed May 28 19:34:05 2014 4 relations: 1059320
  130. Wed May 28 19:34:05 2014 5 relations: 1094189
  131. Wed May 28 19:34:05 2014 6 relations: 1079727
  132. Wed May 28 19:34:05 2014 7 relations: 1039049
  133. Wed May 28 19:34:05 2014 8 relations: 974693
  134. Wed May 28 19:34:05 2014 9 relations: 889311
  135. Wed May 28 19:34:05 2014 10+ relations: 4176795
  136. Wed May 28 19:34:05 2014 heaviest cycle: 27 relations
  137. Wed May 28 19:34:08 2014 commencing cycle optimization
  138. Wed May 28 19:34:25 2014 start with 100370926 relations
  139. Wed May 28 19:37:07 2014 pruned 4434033 relations
  140. Wed May 28 19:37:07 2014 memory use: 2739.5 MB
  141. Wed May 28 19:37:07 2014 distribution of cycle lengths:
  142. Wed May 28 19:37:07 2014 1 relations: 594537
  143. Wed May 28 19:37:07 2014 2 relations: 862178
  144. Wed May 28 19:37:07 2014 3 relations: 1055643
  145. Wed May 28 19:37:07 2014 4 relations: 1106117
  146. Wed May 28 19:37:07 2014 5 relations: 1152021
  147. Wed May 28 19:37:07 2014 6 relations: 1132263
  148. Wed May 28 19:37:07 2014 7 relations: 1093081
  149. Wed May 28 19:37:07 2014 8 relations: 1017206
  150. Wed May 28 19:37:07 2014 9 relations: 924147
  151. Wed May 28 19:37:07 2014 10+ relations: 3820645
  152. Wed May 28 19:37:07 2014 heaviest cycle: 26 relations
  153. Wed May 28 19:37:24 2014 RelProcTime: 4869
  154. Wed May 28 19:37:24 2014
  155. Wed May 28 19:37:24 2014 commencing linear algebra
  156. Wed May 28 19:37:30 2014 read 12757838 cycles
  157. Wed May 28 19:37:50 2014 cycles contain 40439632 unique relations
  158. Wed May 28 19:40:56 2014 read 40439632 relations
  159. Wed May 28 19:41:53 2014 using 20 quadratic characters above 2147482922
  160. Wed May 28 19:44:20 2014 building initial matrix
  161. Wed May 28 19:51:05 2014 memory use: 5459.1 MB
  162. Wed May 28 19:51:10 2014 read 12757838 cycles
  163. Wed May 28 19:51:11 2014 matrix is 12757661 x 12757838 (5640.9 MB) with weight 1624925945 (127.37/col)
  164. Wed May 28 19:51:11 2014 sparse part has weight 1338404289 (104.91/col)
  165. Wed May 28 19:53:31 2014 filtering completed in 2 passes
  166. Wed May 28 19:53:33 2014 matrix is 12757301 x 12757478 (5640.9 MB) with weight 1624912924 (127.37/col)
  167. Wed May 28 19:53:33 2014 sparse part has weight 1338399441 (104.91/col)
  168. Wed May 28 19:54:37 2014 matrix starts at (0, 0)
  169. Wed May 28 19:54:38 2014 matrix is 12757301 x 12757478 (5640.9 MB) with weight 1624912924 (127.37/col)
  170. Wed May 28 19:54:38 2014 sparse part has weight 1338399441 (104.91/col)
  171. Wed May 28 19:54:38 2014 saving the first 48 matrix rows for later
  172. Wed May 28 19:54:40 2014 matrix includes 64 packed rows
  173. Wed May 28 19:54:41 2014 matrix is 12757253 x 12757478 (5404.8 MB) with weight 1375318444 (107.80/col)
  174. Wed May 28 19:54:41 2014 sparse part has weight 1289257226 (101.06/col)
  175. Wed May 28 19:54:41 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  176. Wed May 28 19:55:26 2014 commencing Lanczos iteration (4 threads)
  177. Wed May 28 19:55:26 2014 memory use: 4607.9 MB
  178. Wed May 28 19:56:38 2014 linear algebra at 0.0%, ETA 163h30m
  179. Wed May 28 19:57:03 2014 checkpointing every 80000 dimensions
  180. Wed May 28 22:43:53 2014 lanczos halted after 3251 iterations (dim = 205522)
  181. Wed May 28 22:43:54 2014 BLanczosTime: 11190
  182. Wed May 28 22:43:54 2014
  183. Wed May 28 22:43:54 2014 commencing square root phase
  184. Wed May 28 22:43:54 2014 handling dependencies 1 to 64
  185. Wed May 28 22:43:54 2014 reading relations for dependency 1
  186. Wed May 28 22:43:54 2014 error: read_cycles can't open dependency file
  187. Wed May 28 22:44:32 2014
  188. Wed May 28 22:44:32 2014
  189. Wed May 28 22:44:32 2014 Msieve v. 1.52 (SVN 956)
  190. Wed May 28 22:44:32 2014 random seeds: 2e17b560 41403b8b
  191. Wed May 28 22:44:32 2014 factoring 4949437460549322270200635659376076612652427489596057035222136654211068408954525317880744473917641748010151903285549906246597739737664001751614752051502687803207313504684763412061540932663856087467201917752860419746101656588606607015201 (235 digits)
  192. Wed May 28 22:44:33 2014 no P-1/P+1/ECM available, skipping
  193. Wed May 28 22:44:33 2014 commencing number field sieve (235-digit input)
  194. Wed May 28 22:44:33 2014 R0: -21327100234463183349497947550385773274930109
  195. Wed May 28 22:44:33 2014 R1: 13180872826374098837632191485015125807374171
  196. Wed May 28 22:44:33 2014 A0: 4
  197. Wed May 28 22:44:33 2014 A1: -3
  198. Wed May 28 22:44:33 2014 A2: 30
  199. Wed May 28 22:44:33 2014 A3: 15
  200. Wed May 28 22:44:33 2014 A4: 45
  201. Wed May 28 22:44:33 2014 A5: 27
  202. Wed May 28 22:44:33 2014 A6: 6
  203. Wed May 28 22:44:33 2014 skew 1.00, size 7.183e-13, alpha 0.306, combined = 9.089e-14 rroots = 0
  204. Wed May 28 22:44:33 2014
  205. Wed May 28 22:44:33 2014 commencing linear algebra
  206. Wed May 28 22:44:36 2014 matrix starts at (0, 0)
  207. Wed May 28 22:44:38 2014 matrix is 12757301 x 12757478 (5640.9 MB) with weight 1624912924 (127.37/col)
  208. Wed May 28 22:44:38 2014 sparse part has weight 1338399441 (104.91/col)
  209. Wed May 28 22:44:38 2014 saving the first 48 matrix rows for later
  210. Wed May 28 22:44:39 2014 matrix includes 64 packed rows
  211. Wed May 28 22:44:41 2014 matrix is 12757253 x 12757478 (5404.8 MB) with weight 1375318444 (107.80/col)
  212. Wed May 28 22:44:41 2014 sparse part has weight 1289257226 (101.06/col)
  213. Wed May 28 22:44:41 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  214. Wed May 28 22:45:26 2014 commencing Lanczos iteration (4 threads)
  215. Wed May 28 22:45:26 2014 memory use: 4607.9 MB
  216. Wed May 28 22:45:26 2014 restarting at iteration 3251 (dim = 205522)
  217. Wed May 28 22:45:43 2014 checkpointing every 110000 dimensions
  218. Wed May 28 22:46:18 2014 linear algebra at 1.6%, ETA 119h30m
  219. Mon Jun 2 22:23:01 2014 lanczos halted after 201746 iterations (dim = 12757246)
  220. Mon Jun 2 22:23:13 2014 recovered 31 nontrivial dependencies
  221. Mon Jun 2 22:23:13 2014 BLanczosTime: 430720
  222. Mon Jun 2 22:23:13 2014 elapsed time 119:38:41
  223. Mon Jun 2 22:23:13 2014
  224. Mon Jun 2 22:23:13 2014
  225. Mon Jun 2 22:23:13 2014 Msieve v. 1.52 (SVN 956)
  226. Mon Jun 2 22:23:13 2014 random seeds: 39857e3e ba618561
  227. Mon Jun 2 22:23:13 2014 factoring 4949437460549322270200635659376076612652427489596057035222136654211068408954525317880744473917641748010151903285549906246597739737664001751614752051502687803207313504684763412061540932663856087467201917752860419746101656588606607015201 (235 digits)
  228. Mon Jun 2 22:23:15 2014 no P-1/P+1/ECM available, skipping
  229. Mon Jun 2 22:23:15 2014 commencing number field sieve (235-digit input)
  230. Mon Jun 2 22:23:15 2014 R0: -21327100234463183349497947550385773274930109
  231. Mon Jun 2 22:23:15 2014 R1: 13180872826374098837632191485015125807374171
  232. Mon Jun 2 22:23:15 2014 A0: 4
  233. Mon Jun 2 22:23:15 2014 A1: -3
  234. Mon Jun 2 22:23:15 2014 A2: 30
  235. Mon Jun 2 22:23:15 2014 A3: 15
  236. Mon Jun 2 22:23:15 2014 A4: 45
  237. Mon Jun 2 22:23:15 2014 A5: 27
  238. Mon Jun 2 22:23:15 2014 A6: 6
  239. Mon Jun 2 22:23:15 2014 skew 1.00, size 7.183e-13, alpha 0.306, combined = 9.089e-14 rroots = 0
  240. Mon Jun 2 22:23:15 2014
  241. Mon Jun 2 22:23:15 2014 commencing square root phase
  242. Mon Jun 2 22:23:15 2014 reading relations for dependency 1
  243. Mon Jun 2 22:23:17 2014 read 6378465 cycles
  244. Mon Jun 2 22:23:31 2014 cycles contain 20217764 unique relations
  245. Mon Jun 2 22:26:05 2014 read 20217764 relations
  246. Mon Jun 2 22:27:53 2014 multiplying 20217764 relations
  247. Mon Jun 2 22:46:46 2014 multiply complete, coefficients have about 592.99 million bits
  248. Mon Jun 2 22:46:48 2014 initial square root is modulo 208991
  249. Mon Jun 2 23:06:33 2014 GCD is N, no factor found
  250. Mon Jun 2 23:06:33 2014 reading relations for dependency 2
  251. Mon Jun 2 23:06:35 2014 read 6380430 cycles
  252. Mon Jun 2 23:06:46 2014 cycles contain 20223022 unique relations
  253. Mon Jun 2 23:09:19 2014 read 20223022 relations
  254. Mon Jun 2 23:11:09 2014 multiplying 20223022 relations
  255. Mon Jun 2 23:30:13 2014 multiply complete, coefficients have about 593.14 million bits
  256. Mon Jun 2 23:30:16 2014 initial square root is modulo 209621
  257. Mon Jun 2 23:49:53 2014 sqrtTime: 5198
  258. Mon Jun 2 23:49:53 2014 prp93 factor: 156655393734516145629091120404279186220780265097441006765074933151614086648235223224817776521
  259. Mon Jun 2 23:49:53 2014 prp143 factor: 31594427376928576279150645987605869700661423858375374564941048192026333769508957137741394759145280014265891999374240163980702844591568575077081
  260. Mon Jun 2 23:49:53 2014 elapsed time 01:26:40
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