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Jun 16th, 2014
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  1. Thu Jun 12 17:24:50 2014
  2. Thu Jun 12 17:24:50 2014
  3. Thu Jun 12 17:24:50 2014 Msieve v. 1.52 (SVN 959)
  4. Thu Jun 12 17:24:50 2014 random seeds: 961c38e7 1fc0203f
  5. Thu Jun 12 17:24:50 2014 factoring 3860626219230827519589384524042936161824276880063973010896362818782869931009351492796955459899551609920630588282899012224933139866176169229959639656363083296774539934686164502557790608548153498515468062244581103395369371133689 (226 digits)
  6. Thu Jun 12 17:24:52 2014 no P-1/P+1/ECM available, skipping
  7. Thu Jun 12 17:24:52 2014 commencing number field sieve (226-digit input)
  8. Thu Jun 12 17:24:52 2014 R0: -85070591730234615865843651857942052864
  9. Thu Jun 12 17:24:52 2014 R1: 1
  10. Thu Jun 12 17:24:52 2014 A0: 1
  11. Thu Jun 12 17:24:52 2014 A1: 0
  12. Thu Jun 12 17:24:52 2014 A2: 0
  13. Thu Jun 12 17:24:52 2014 A3: 0
  14. Thu Jun 12 17:24:52 2014 A4: 0
  15. Thu Jun 12 17:24:52 2014 A5: 0
  16. Thu Jun 12 17:24:52 2014 A6: 24352
  17. Thu Jun 12 17:24:52 2014 skew 1.00, size 1.083e-11, alpha -0.034, combined = 6.334e-13 rroots = 0
  18. Thu Jun 12 17:24:52 2014
  19. Thu Jun 12 17:24:52 2014 commencing relation filtering
  20. Thu Jun 12 17:24:52 2014 estimated available RAM is 16009.0 MB
  21. Thu Jun 12 17:24:52 2014 commencing duplicate removal, pass 1
  22. Thu Jun 12 17:26:36 2014 error -9 reading relation 10549244
  23. Thu Jun 12 17:26:37 2014 error -5 reading relation 10559402
  24. Thu Jun 12 17:26:48 2014 error -9 reading relation 11692139
  25. Thu Jun 12 17:32:26 2014 error -1 reading relation 46388001
  26. Thu Jun 12 17:32:28 2014 error -1 reading relation 46585065
  27. Thu Jun 12 17:32:29 2014 error -9 reading relation 46724146
  28. Thu Jun 12 17:32:47 2014 error -15 reading relation 48513350
  29. Thu Jun 12 17:32:47 2014 error -11 reading relation 48513719
  30. Thu Jun 12 17:32:47 2014 error -11 reading relation 48541725
  31. Thu Jun 12 17:32:47 2014 error -15 reading relation 48542455
  32. Thu Jun 12 17:33:05 2014 error -9 reading relation 50430094
  33. Thu Jun 12 17:33:08 2014 error -15 reading relation 50672439
  34. Thu Jun 12 17:34:00 2014 error -15 reading relation 56067832
  35. Thu Jun 12 17:34:08 2014 error -1 reading relation 56949417
  36. Thu Jun 12 17:34:13 2014 error -15 reading relation 57386040
  37. Thu Jun 12 17:34:27 2014 error -15 reading relation 58909397
  38. Thu Jun 12 17:34:35 2014 error -9 reading relation 59670293
  39. Thu Jun 12 17:34:36 2014 error -9 reading relation 59814051
  40. Thu Jun 12 17:34:37 2014 error -9 reading relation 59915137
  41. Thu Jun 12 17:34:51 2014 error -9 reading relation 61314615
  42. Thu Jun 12 17:35:03 2014 error -15 reading relation 62495003
  43. Thu Jun 12 17:36:56 2014 error -9 reading relation 74038433
  44. Thu Jun 12 17:37:49 2014 error -15 reading relation 79465441
  45. Thu Jun 12 17:37:58 2014 error -9 reading relation 80351391
  46. Thu Jun 12 17:38:11 2014 error -9 reading relation 81687859
  47. Thu Jun 12 17:38:21 2014 error -1 reading relation 82711311
  48. Thu Jun 12 17:38:21 2014 error -15 reading relation 82726171
  49. Thu Jun 12 17:38:34 2014 error -1 reading relation 84154411
  50. Thu Jun 12 17:38:38 2014 error -9 reading relation 84551064
  51. Thu Jun 12 17:39:29 2014 error -5 reading relation 89780666
  52. Thu Jun 12 17:41:20 2014 error -15 reading relation 101044466
  53. Thu Jun 12 17:41:22 2014 error -9 reading relation 101256294
  54. Thu Jun 12 17:41:26 2014 error -9 reading relation 101712052
  55. Thu Jun 12 17:41:33 2014 error -9 reading relation 102400056
  56. Thu Jun 12 17:41:42 2014 error -9 reading relation 103376809
  57. Thu Jun 12 17:42:01 2014 error -9 reading relation 105327304
  58. Thu Jun 12 17:42:38 2014 error -15 reading relation 109094284
  59. Thu Jun 12 17:43:12 2014 error -15 reading relation 112631034
  60. Thu Jun 12 17:43:34 2014 error -5 reading relation 114767670
  61. Thu Jun 12 17:43:44 2014 error -15 reading relation 115783760
  62. Thu Jun 12 17:44:03 2014 error -9 reading relation 117783815
  63. Thu Jun 12 17:44:03 2014 error -9 reading relation 117799886
  64. Thu Jun 12 17:44:08 2014 error -15 reading relation 118310121
  65. Thu Jun 12 17:44:09 2014 error -15 reading relation 118348860
  66. Thu Jun 12 17:44:09 2014 error -15 reading relation 118365388
  67. Thu Jun 12 17:44:10 2014 error -15 reading relation 118481229
  68. Thu Jun 12 17:44:11 2014 error -15 reading relation 118533826
  69. Thu Jun 12 17:44:11 2014 error -9 reading relation 118573161
  70. Thu Jun 12 17:44:31 2014 error -9 reading relation 120647472
  71. Thu Jun 12 17:44:47 2014 error -5 reading relation 122254603
  72. Thu Jun 12 17:44:47 2014 error -9 reading relation 122300712
  73. Thu Jun 12 17:44:48 2014 error -9 reading relation 122396038
  74. Thu Jun 12 17:44:50 2014 error -15 reading relation 122629677
  75. Thu Jun 12 17:44:52 2014 error -11 reading relation 122829720
  76. Thu Jun 12 17:45:14 2014 skipped 219 relations with b > 2^32
  77. Thu Jun 12 17:45:14 2014 found 24230184 hash collisions in 124385641 relations
  78. Thu Jun 12 17:45:27 2014 commencing duplicate removal, pass 2
  79. Thu Jun 12 17:52:04 2014 found 23458902 duplicates and 100926739 unique relations
  80. Thu Jun 12 17:52:04 2014 memory use: 660.8 MB
  81. Thu Jun 12 17:52:04 2014 reading ideals above 110690304
  82. Thu Jun 12 17:52:04 2014 commencing singleton removal, initial pass
  83. Thu Jun 12 18:11:12 2014 memory use: 1506.0 MB
  84. Thu Jun 12 18:11:12 2014 reading all ideals from disk
  85. Thu Jun 12 18:11:25 2014 memory use: 1636.6 MB
  86. Thu Jun 12 18:11:29 2014 commencing in-memory singleton removal
  87. Thu Jun 12 18:11:32 2014 begin with 100926739 relations and 79620188 unique ideals
  88. Thu Jun 12 18:12:06 2014 reduce to 67408189 relations and 42847551 ideals in 14 passes
  89. Thu Jun 12 18:12:06 2014 max relations containing the same ideal: 34
  90. Thu Jun 12 18:12:09 2014 reading ideals above 720000
  91. Thu Jun 12 18:12:09 2014 commencing singleton removal, initial pass
  92. Thu Jun 12 18:29:10 2014 memory use: 1506.0 MB
  93. Thu Jun 12 18:29:10 2014 reading all ideals from disk
  94. Thu Jun 12 18:29:41 2014 memory use: 2568.7 MB
  95. Thu Jun 12 18:29:48 2014 keeping 55178946 ideals with weight <= 200, target excess is 348322
  96. Thu Jun 12 18:29:55 2014 commencing in-memory singleton removal
  97. Thu Jun 12 18:30:01 2014 begin with 67408189 relations and 55178946 unique ideals
  98. Thu Jun 12 18:30:41 2014 reduce to 67390368 relations and 55161121 ideals in 7 passes
  99. Thu Jun 12 18:30:41 2014 max relations containing the same ideal: 200
  100. Thu Jun 12 18:31:10 2014 removing 8775189 relations and 6775189 ideals in 2000000 cliques
  101. Thu Jun 12 18:31:13 2014 commencing in-memory singleton removal
  102. Thu Jun 12 18:31:18 2014 begin with 58615179 relations and 55161121 unique ideals
  103. Thu Jun 12 18:32:04 2014 reduce to 57714505 relations and 47453126 ideals in 9 passes
  104. Thu Jun 12 18:32:04 2014 max relations containing the same ideal: 189
  105. Thu Jun 12 18:32:29 2014 removing 6999298 relations and 4999298 ideals in 2000000 cliques
  106. Thu Jun 12 18:32:32 2014 commencing in-memory singleton removal
  107. Thu Jun 12 18:32:36 2014 begin with 50715207 relations and 47453126 unique ideals
  108. Thu Jun 12 18:33:10 2014 reduce to 50074519 relations and 41791301 ideals in 8 passes
  109. Thu Jun 12 18:33:10 2014 max relations containing the same ideal: 175
  110. Thu Jun 12 18:33:32 2014 removing 6481039 relations and 4481039 ideals in 2000000 cliques
  111. Thu Jun 12 18:33:35 2014 commencing in-memory singleton removal
  112. Thu Jun 12 18:33:38 2014 begin with 43593480 relations and 41791301 unique ideals
  113. Thu Jun 12 18:34:04 2014 reduce to 42999030 relations and 36694152 ideals in 7 passes
  114. Thu Jun 12 18:34:04 2014 max relations containing the same ideal: 159
  115. Thu Jun 12 18:34:22 2014 removing 6218716 relations and 4218716 ideals in 2000000 cliques
  116. Thu Jun 12 18:34:24 2014 commencing in-memory singleton removal
  117. Thu Jun 12 18:34:28 2014 begin with 36780314 relations and 36694152 unique ideals
  118. Thu Jun 12 18:34:52 2014 reduce to 36183421 relations and 31853752 ideals in 8 passes
  119. Thu Jun 12 18:34:52 2014 max relations containing the same ideal: 140
  120. Thu Jun 12 18:35:08 2014 removing 6045683 relations and 4045683 ideals in 2000000 cliques
  121. Thu Jun 12 18:35:10 2014 commencing in-memory singleton removal
  122. Thu Jun 12 18:35:12 2014 begin with 30137738 relations and 31853752 unique ideals
  123. Thu Jun 12 18:35:31 2014 reduce to 29494659 relations and 27133996 ideals in 8 passes
  124. Thu Jun 12 18:35:31 2014 max relations containing the same ideal: 123
  125. Thu Jun 12 18:35:44 2014 removing 5816724 relations and 3860115 ideals in 1956609 cliques
  126. Thu Jun 12 18:35:46 2014 commencing in-memory singleton removal
  127. Thu Jun 12 18:35:48 2014 begin with 23677935 relations and 27133996 unique ideals
  128. Thu Jun 12 18:36:03 2014 reduce to 22943398 relations and 22497026 ideals in 8 passes
  129. Thu Jun 12 18:36:03 2014 max relations containing the same ideal: 106
  130. Thu Jun 12 18:36:13 2014 removing 254265 relations and 211947 ideals in 42318 cliques
  131. Thu Jun 12 18:36:14 2014 commencing in-memory singleton removal
  132. Thu Jun 12 18:36:15 2014 begin with 22689133 relations and 22497026 unique ideals
  133. Thu Jun 12 18:36:24 2014 reduce to 22687033 relations and 22282974 ideals in 5 passes
  134. Thu Jun 12 18:36:24 2014 max relations containing the same ideal: 106
  135. Thu Jun 12 18:36:29 2014 relations with 0 large ideals: 13052
  136. Thu Jun 12 18:36:29 2014 relations with 1 large ideals: 3726
  137. Thu Jun 12 18:36:29 2014 relations with 2 large ideals: 41182
  138. Thu Jun 12 18:36:29 2014 relations with 3 large ideals: 321364
  139. Thu Jun 12 18:36:29 2014 relations with 4 large ideals: 1372818
  140. Thu Jun 12 18:36:29 2014 relations with 5 large ideals: 3518875
  141. Thu Jun 12 18:36:29 2014 relations with 6 large ideals: 5652922
  142. Thu Jun 12 18:36:29 2014 relations with 7+ large ideals: 11763094
  143. Thu Jun 12 18:36:29 2014 commencing 2-way merge
  144. Thu Jun 12 18:36:42 2014 reduce to 15529534 relation sets and 15125475 unique ideals
  145. Thu Jun 12 18:36:42 2014 commencing full merge
  146. Thu Jun 12 18:40:14 2014 memory use: 1864.1 MB
  147. Thu Jun 12 18:40:16 2014 found 8387019 cycles, need 8331675
  148. Thu Jun 12 18:40:18 2014 weight of 8331675 cycles is about 583612620 (70.05/cycle)
  149. Thu Jun 12 18:40:18 2014 distribution of cycle lengths:
  150. Thu Jun 12 18:40:18 2014 1 relations: 847175
  151. Thu Jun 12 18:40:18 2014 2 relations: 1027425
  152. Thu Jun 12 18:40:18 2014 3 relations: 1090202
  153. Thu Jun 12 18:40:18 2014 4 relations: 1044611
  154. Thu Jun 12 18:40:18 2014 5 relations: 963442
  155. Thu Jun 12 18:40:18 2014 6 relations: 831358
  156. Thu Jun 12 18:40:18 2014 7 relations: 682784
  157. Thu Jun 12 18:40:18 2014 8 relations: 533981
  158. Thu Jun 12 18:40:18 2014 9 relations: 401611
  159. Thu Jun 12 18:40:18 2014 10+ relations: 909086
  160. Thu Jun 12 18:40:18 2014 heaviest cycle: 20 relations
  161. Thu Jun 12 18:40:20 2014 commencing cycle optimization
  162. Thu Jun 12 18:40:31 2014 start with 43494115 relations
  163. Thu Jun 12 18:41:23 2014 pruned 1234137 relations
  164. Thu Jun 12 18:41:23 2014 memory use: 1396.6 MB
  165. Thu Jun 12 18:41:23 2014 distribution of cycle lengths:
  166. Thu Jun 12 18:41:23 2014 1 relations: 847175
  167. Thu Jun 12 18:41:23 2014 2 relations: 1049145
  168. Thu Jun 12 18:41:23 2014 3 relations: 1132726
  169. Thu Jun 12 18:41:23 2014 4 relations: 1077535
  170. Thu Jun 12 18:41:23 2014 5 relations: 995972
  171. Thu Jun 12 18:41:23 2014 6 relations: 847102
  172. Thu Jun 12 18:41:23 2014 7 relations: 688318
  173. Thu Jun 12 18:41:23 2014 8 relations: 525189
  174. Thu Jun 12 18:41:23 2014 9 relations: 385154
  175. Thu Jun 12 18:41:23 2014 10+ relations: 783359
  176. Thu Jun 12 18:41:23 2014 heaviest cycle: 19 relations
  177. Thu Jun 12 18:41:35 2014 RelProcTime: 4603
  178. Thu Jun 12 18:41:35 2014
  179. Thu Jun 12 18:41:35 2014 commencing linear algebra
  180. Thu Jun 12 18:41:39 2014 read 8331675 cycles
  181. Thu Jun 12 18:41:49 2014 cycles contain 22472914 unique relations
  182. Thu Jun 12 18:50:36 2014 read 22472914 relations
  183. Thu Jun 12 18:51:07 2014 using 20 quadratic characters above 1073741528
  184. Thu Jun 12 18:52:32 2014 building initial matrix
  185. Thu Jun 12 18:55:43 2014 memory use: 2953.9 MB
  186. Thu Jun 12 18:55:49 2014 read 8331675 cycles
  187. Thu Jun 12 18:55:50 2014 matrix is 8331502 x 8331675 (2493.6 MB) with weight 731407792 (87.79/col)
  188. Thu Jun 12 18:55:50 2014 sparse part has weight 562035632 (67.46/col)
  189. Thu Jun 12 18:56:53 2014 filtering completed in 2 passes
  190. Thu Jun 12 18:56:54 2014 matrix is 8330427 x 8330599 (2493.5 MB) with weight 731378563 (87.79/col)
  191. Thu Jun 12 18:56:54 2014 sparse part has weight 562027713 (67.47/col)
  192. Thu Jun 12 18:57:36 2014 matrix starts at (0, 0)
  193. Thu Jun 12 18:57:37 2014 matrix is 8330427 x 8330599 (2493.5 MB) with weight 731378563 (87.79/col)
  194. Thu Jun 12 18:57:37 2014 sparse part has weight 562027713 (67.47/col)
  195. Thu Jun 12 18:57:37 2014 saving the first 48 matrix rows for later
  196. Thu Jun 12 18:57:38 2014 matrix includes 64 packed rows
  197. Thu Jun 12 18:57:39 2014 matrix is 8330379 x 8330599 (2366.2 MB) with weight 580650913 (69.70/col)
  198. Thu Jun 12 18:57:39 2014 sparse part has weight 536968862 (64.46/col)
  199. Thu Jun 12 18:57:39 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  200. Thu Jun 12 18:58:03 2014 commencing Lanczos iteration (3 threads)
  201. Thu Jun 12 18:58:03 2014 memory use: 1953.6 MB
  202. Thu Jun 12 18:58:37 2014 linear algebra at 0.0%, ETA 48h44m
  203. Thu Jun 12 18:58:47 2014 checkpointing every 180000 dimensions
  204. Sat Jun 14 20:08:22 2014 lanczos halted after 131738 iterations (dim = 8330375)
  205. Sat Jun 14 20:08:29 2014 recovered 36 nontrivial dependencies
  206. Sat Jun 14 20:08:29 2014 BLanczosTime: 178014
  207. Sat Jun 14 20:08:29 2014
  208. Sat Jun 14 20:08:29 2014 commencing square root phase
  209. Sat Jun 14 20:08:29 2014 reading relations for dependency 1
  210. Sat Jun 14 20:08:32 2014 read 4165822 cycles
  211. Sat Jun 14 20:08:36 2014 cycles contain 11241220 unique relations
  212. Sat Jun 14 20:20:14 2014 read 11241220 relations
  213. Sat Jun 14 20:21:02 2014 multiplying 11241220 relations
  214. Sat Jun 14 20:33:26 2014 multiply complete, coefficients have about 427.92 million bits
  215. Sat Jun 14 20:33:28 2014 initial square root is modulo 47680639
  216. Sat Jun 14 20:47:01 2014 GCD is 1, no factor found
  217. Sat Jun 14 20:47:01 2014 reading relations for dependency 2
  218. Sat Jun 14 20:47:03 2014 read 4165006 cycles
  219. Sat Jun 14 20:47:08 2014 cycles contain 11235114 unique relations
  220. Sat Jun 14 20:58:36 2014 read 11235114 relations
  221. Sat Jun 14 20:59:24 2014 multiplying 11235114 relations
  222. Sat Jun 14 21:11:48 2014 multiply complete, coefficients have about 427.70 million bits
  223. Sat Jun 14 21:11:49 2014 initial square root is modulo 47235313
  224. Sat Jun 14 21:25:06 2014 sqrtTime: 4597
  225. Sat Jun 14 21:25:06 2014 prp86 factor: 22522226570976361252095981858314279354923506402658131585768970626000097099394321423807
  226. Sat Jun 14 21:25:06 2014 prp141 factor: 171414056557173932945758956264718207333198493057985505510386278897118280286968875366404109286921546980133727603074073132845317171954652518727
  227. Sat Jun 14 21:25:06 2014 elapsed time 52:00:16
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