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Aug 21st, 2016
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  1. Fri Aug 19 14:17:48 2016
  2. Fri Aug 19 14:17:48 2016
  3. Fri Aug 19 14:17:48 2016 Msieve v. 1.53 (SVN 988M)
  4. Fri Aug 19 14:17:48 2016 random seeds: 491c6627 a7df2be2
  5. Fri Aug 19 14:17:48 2016 factoring 110632076462632729458850350416185741404475921263171567076040476618139538963668190104698771442498080618312452607466598021349240851723921107993467797322495608124274113540790636363089440890442463024870672238641 (207 digits)
  6. Fri Aug 19 14:17:49 2016 searching for 15-digit factors
  7. Fri Aug 19 14:17:51 2016 commencing number field sieve (207-digit input)
  8. Fri Aug 19 14:17:51 2016 R0: 624931990990842127748277129373
  9. Fri Aug 19 14:17:51 2016 R1: -3092293701528011648986376979905735819264
  10. Fri Aug 19 14:17:51 2016 A0: 5476
  11. Fri Aug 19 14:17:51 2016 A1: 0
  12. Fri Aug 19 14:17:51 2016 A2: 0
  13. Fri Aug 19 14:17:51 2016 A3: 0
  14. Fri Aug 19 14:17:51 2016 A4: 0
  15. Fri Aug 19 14:17:51 2016 A5: 0
  16. Fri Aug 19 14:17:51 2016 A6: 49
  17. Fri Aug 19 14:17:51 2016 skew 2.19, size 3.327e-12, alpha -0.246, combined = 2.951e-13 rroots = 0
  18. Fri Aug 19 14:17:51 2016
  19. Fri Aug 19 14:17:51 2016 commencing relation filtering
  20. Fri Aug 19 14:17:51 2016 setting target matrix density to 130.0
  21. Fri Aug 19 14:17:51 2016 estimated available RAM is 65536.0 MB
  22. Fri Aug 19 14:17:51 2016 commencing duplicate removal, pass 1
  23. Fri Aug 19 14:42:51 2016 error -15 reading relation 167076314
  24. Fri Aug 19 14:42:53 2016 error -1 reading relation 167291203
  25. Fri Aug 19 14:42:53 2016 error -9 reading relation 167323826
  26. Fri Aug 19 14:42:54 2016 error -1 reading relation 167401184
  27. Fri Aug 19 14:44:24 2016 error -9 reading relation 177486765
  28. Fri Aug 19 14:44:43 2016 error -5 reading relation 179618012
  29. Fri Aug 19 14:46:21 2016 error -15 reading relation 190498942
  30. Fri Aug 19 14:48:51 2016 error -15 reading relation 207082062
  31. Fri Aug 19 14:48:51 2016 error -15 reading relation 207093268
  32. Fri Aug 19 14:48:51 2016 error -9 reading relation 207107837
  33. Fri Aug 19 14:48:51 2016 error -1 reading relation 207118933
  34. Fri Aug 19 14:49:04 2016 error -15 reading relation 208572088
  35. Fri Aug 19 14:50:36 2016 error -1 reading relation 218850687
  36. Fri Aug 19 14:50:38 2016 error -9 reading relation 219091499
  37. Fri Aug 19 14:50:47 2016 error -15 reading relation 220028019
  38. Fri Aug 19 14:51:18 2016 error -1 reading relation 223586680
  39. Fri Aug 19 14:51:26 2016 error -9 reading relation 224598189
  40. Fri Aug 19 14:51:58 2016 error -11 reading relation 228183518
  41. Fri Aug 19 14:52:19 2016 error -15 reading relation 230629864
  42. Fri Aug 19 14:52:20 2016 error -9 reading relation 230701333
  43. Fri Aug 19 14:52:21 2016 error -1 reading relation 230749192
  44. Fri Aug 19 14:52:21 2016 error -9 reading relation 230797185
  45. Fri Aug 19 14:52:21 2016 error -9 reading relation 230844892
  46. Fri Aug 19 14:52:22 2016 error -9 reading relation 230869314
  47. Fri Aug 19 14:54:02 2016 error -9 reading relation 242937854
  48. Fri Aug 19 14:54:14 2016 skipped 21 relations with b > 2^32
  49. Fri Aug 19 14:54:14 2016 skipped 21 relations with composite factors
  50. Fri Aug 19 14:54:14 2016 found 50921073 hash collisions in 244539240 relations
  51. Fri Aug 19 14:54:29 2016 added 1219126 free relations
  52. Fri Aug 19 14:54:29 2016 commencing duplicate removal, pass 2
  53. Fri Aug 19 14:58:12 2016 found 51217461 duplicates and 194540905 unique relations
  54. Fri Aug 19 14:58:12 2016 memory use: 1321.5 MB
  55. Fri Aug 19 14:58:12 2016 reading ideals above 720000
  56. Fri Aug 19 14:58:12 2016 commencing singleton removal, initial pass
  57. Fri Aug 19 15:22:03 2016 memory use: 5512.0 MB
  58. Fri Aug 19 15:22:03 2016 reading all ideals from disk
  59. Fri Aug 19 15:22:07 2016 memory use: 7634.8 MB
  60. Fri Aug 19 15:22:27 2016 keeping 174809394 ideals with weight <= 200, target excess is 987470
  61. Fri Aug 19 15:22:50 2016 commencing in-memory singleton removal
  62. Fri Aug 19 15:23:05 2016 begin with 194540905 relations and 174809394 unique ideals
  63. Fri Aug 19 15:25:45 2016 reduce to 127103875 relations and 100551268 ideals in 14 passes
  64. Fri Aug 19 15:25:45 2016 max relations containing the same ideal: 160
  65. Fri Aug 19 15:26:38 2016 removing 10665705 relations and 8665705 ideals in 2000000 cliques
  66. Fri Aug 19 15:26:42 2016 commencing in-memory singleton removal
  67. Fri Aug 19 15:26:51 2016 begin with 116438170 relations and 100551268 unique ideals
  68. Fri Aug 19 15:28:07 2016 reduce to 115787296 relations and 91221796 ideals in 8 passes
  69. Fri Aug 19 15:28:07 2016 max relations containing the same ideal: 150
  70. Fri Aug 19 15:28:56 2016 removing 8095977 relations and 6095977 ideals in 2000000 cliques
  71. Fri Aug 19 15:28:59 2016 commencing in-memory singleton removal
  72. Fri Aug 19 15:29:07 2016 begin with 107691319 relations and 91221796 unique ideals
  73. Fri Aug 19 15:30:09 2016 reduce to 107257570 relations and 84684552 ideals in 7 passes
  74. Fri Aug 19 15:30:09 2016 max relations containing the same ideal: 143
  75. Fri Aug 19 15:30:53 2016 removing 7340652 relations and 5340652 ideals in 2000000 cliques
  76. Fri Aug 19 15:30:56 2016 commencing in-memory singleton removal
  77. Fri Aug 19 15:31:03 2016 begin with 99916918 relations and 84684552 unique ideals
  78. Fri Aug 19 15:32:01 2016 reduce to 99536551 relations and 78956966 ideals in 7 passes
  79. Fri Aug 19 15:32:01 2016 max relations containing the same ideal: 138
  80. Fri Aug 19 15:32:41 2016 removing 6943861 relations and 4943861 ideals in 2000000 cliques
  81. Fri Aug 19 15:32:44 2016 commencing in-memory singleton removal
  82. Fri Aug 19 15:32:51 2016 begin with 92592690 relations and 78956966 unique ideals
  83. Fri Aug 19 15:33:44 2016 reduce to 92237567 relations and 73651588 ideals in 7 passes
  84. Fri Aug 19 15:33:44 2016 max relations containing the same ideal: 130
  85. Fri Aug 19 15:34:22 2016 removing 6698996 relations and 4698996 ideals in 2000000 cliques
  86. Fri Aug 19 15:34:24 2016 commencing in-memory singleton removal
  87. Fri Aug 19 15:34:31 2016 begin with 85538571 relations and 73651588 unique ideals
  88. Fri Aug 19 15:35:19 2016 reduce to 85194679 relations and 68601990 ideals in 7 passes
  89. Fri Aug 19 15:35:19 2016 max relations containing the same ideal: 123
  90. Fri Aug 19 15:35:54 2016 removing 6527748 relations and 4527748 ideals in 2000000 cliques
  91. Fri Aug 19 15:35:56 2016 commencing in-memory singleton removal
  92. Fri Aug 19 15:36:02 2016 begin with 78666931 relations and 68601990 unique ideals
  93. Fri Aug 19 15:36:46 2016 reduce to 78324586 relations and 63724908 ideals in 7 passes
  94. Fri Aug 19 15:36:46 2016 max relations containing the same ideal: 119
  95. Fri Aug 19 15:37:19 2016 removing 6397101 relations and 4397101 ideals in 2000000 cliques
  96. Fri Aug 19 15:37:21 2016 commencing in-memory singleton removal
  97. Fri Aug 19 15:37:26 2016 begin with 71927485 relations and 63724908 unique ideals
  98. Fri Aug 19 15:38:06 2016 reduce to 71580591 relations and 58973272 ideals in 7 passes
  99. Fri Aug 19 15:38:06 2016 max relations containing the same ideal: 114
  100. Fri Aug 19 15:38:36 2016 removing 6297442 relations and 4297442 ideals in 2000000 cliques
  101. Fri Aug 19 15:38:38 2016 commencing in-memory singleton removal
  102. Fri Aug 19 15:38:43 2016 begin with 65283149 relations and 58973272 unique ideals
  103. Fri Aug 19 15:39:13 2016 reduce to 64926057 relations and 54310089 ideals in 6 passes
  104. Fri Aug 19 15:39:13 2016 max relations containing the same ideal: 108
  105. Fri Aug 19 15:39:40 2016 removing 6223224 relations and 4223224 ideals in 2000000 cliques
  106. Fri Aug 19 15:39:42 2016 commencing in-memory singleton removal
  107. Fri Aug 19 15:39:47 2016 begin with 58702833 relations and 54310089 unique ideals
  108. Fri Aug 19 15:40:19 2016 reduce to 58327605 relations and 49701809 ideals in 7 passes
  109. Fri Aug 19 15:40:19 2016 max relations containing the same ideal: 98
  110. Fri Aug 19 15:40:43 2016 removing 6162294 relations and 4162294 ideals in 2000000 cliques
  111. Fri Aug 19 15:40:45 2016 commencing in-memory singleton removal
  112. Fri Aug 19 15:40:48 2016 begin with 52165311 relations and 49701809 unique ideals
  113. Fri Aug 19 15:41:21 2016 reduce to 51762846 relations and 45125455 ideals in 8 passes
  114. Fri Aug 19 15:41:21 2016 max relations containing the same ideal: 93
  115. Fri Aug 19 15:41:42 2016 removing 6121440 relations and 4121440 ideals in 2000000 cliques
  116. Fri Aug 19 15:41:44 2016 commencing in-memory singleton removal
  117. Fri Aug 19 15:41:47 2016 begin with 45641406 relations and 45125455 unique ideals
  118. Fri Aug 19 15:42:12 2016 reduce to 45194764 relations and 40542972 ideals in 7 passes
  119. Fri Aug 19 15:42:12 2016 max relations containing the same ideal: 82
  120. Fri Aug 19 15:42:31 2016 removing 6103713 relations and 4103713 ideals in 2000000 cliques
  121. Fri Aug 19 15:42:33 2016 commencing in-memory singleton removal
  122. Fri Aug 19 15:42:35 2016 begin with 39091051 relations and 40542972 unique ideals
  123. Fri Aug 19 15:42:56 2016 reduce to 38571577 relations and 35900367 ideals in 7 passes
  124. Fri Aug 19 15:42:56 2016 max relations containing the same ideal: 72
  125. Fri Aug 19 15:43:11 2016 removing 4892438 relations and 3366694 ideals in 1525744 cliques
  126. Fri Aug 19 15:43:13 2016 commencing in-memory singleton removal
  127. Fri Aug 19 15:43:15 2016 begin with 33679139 relations and 35900367 unique ideals
  128. Fri Aug 19 15:43:33 2016 reduce to 33257730 relations and 32097758 ideals in 7 passes
  129. Fri Aug 19 15:43:33 2016 max relations containing the same ideal: 66
  130. Fri Aug 19 15:43:46 2016 removing 94296 relations and 79790 ideals in 14506 cliques
  131. Fri Aug 19 15:43:47 2016 commencing in-memory singleton removal
  132. Fri Aug 19 15:43:49 2016 begin with 33163434 relations and 32097758 unique ideals
  133. Fri Aug 19 15:43:59 2016 reduce to 33163267 relations and 32017801 ideals in 4 passes
  134. Fri Aug 19 15:43:59 2016 max relations containing the same ideal: 66
  135. Fri Aug 19 15:44:04 2016 relations with 0 large ideals: 36698
  136. Fri Aug 19 15:44:04 2016 relations with 1 large ideals: 29846
  137. Fri Aug 19 15:44:04 2016 relations with 2 large ideals: 335704
  138. Fri Aug 19 15:44:04 2016 relations with 3 large ideals: 1774982
  139. Fri Aug 19 15:44:04 2016 relations with 4 large ideals: 4998905
  140. Fri Aug 19 15:44:04 2016 relations with 5 large ideals: 8324513
  141. Fri Aug 19 15:44:04 2016 relations with 6 large ideals: 8596657
  142. Fri Aug 19 15:44:04 2016 relations with 7+ large ideals: 9065962
  143. Fri Aug 19 15:44:04 2016 commencing 2-way merge
  144. Fri Aug 19 15:44:23 2016 reduce to 22430715 relation sets and 21285249 unique ideals
  145. Fri Aug 19 15:44:24 2016 commencing full merge
  146. Fri Aug 19 15:52:59 2016 memory use: 2719.2 MB
  147. Fri Aug 19 15:53:03 2016 found 9706472 cycles, need 9687449
  148. Fri Aug 19 15:53:04 2016 weight of 9687449 cycles is about 1259761551 (130.04/cycle)
  149. Fri Aug 19 15:53:04 2016 distribution of cycle lengths:
  150. Fri Aug 19 15:53:04 2016 1 relations: 273817
  151. Fri Aug 19 15:53:04 2016 2 relations: 452042
  152. Fri Aug 19 15:53:04 2016 3 relations: 569338
  153. Fri Aug 19 15:53:04 2016 4 relations: 620838
  154. Fri Aug 19 15:53:04 2016 5 relations: 663791
  155. Fri Aug 19 15:53:04 2016 6 relations: 676873
  156. Fri Aug 19 15:53:04 2016 7 relations: 677804
  157. Fri Aug 19 15:53:04 2016 8 relations: 664141
  158. Fri Aug 19 15:53:04 2016 9 relations: 636294
  159. Fri Aug 19 15:53:04 2016 10+ relations: 4452511
  160. Fri Aug 19 15:53:04 2016 heaviest cycle: 28 relations
  161. Fri Aug 19 15:53:07 2016 commencing cycle optimization
  162. Fri Aug 19 15:53:29 2016 start with 94817185 relations
  163. Fri Aug 19 15:58:01 2016 pruned 5052470 relations
  164. Fri Aug 19 15:58:01 2016 memory use: 2347.9 MB
  165. Fri Aug 19 15:58:01 2016 distribution of cycle lengths:
  166. Fri Aug 19 15:58:01 2016 1 relations: 273817
  167. Fri Aug 19 15:58:01 2016 2 relations: 464166
  168. Fri Aug 19 15:58:01 2016 3 relations: 595190
  169. Fri Aug 19 15:58:01 2016 4 relations: 650636
  170. Fri Aug 19 15:58:01 2016 5 relations: 703197
  171. Fri Aug 19 15:58:01 2016 6 relations: 716123
  172. Fri Aug 19 15:58:01 2016 7 relations: 722005
  173. Fri Aug 19 15:58:01 2016 8 relations: 705314
  174. Fri Aug 19 15:58:01 2016 9 relations: 675134
  175. Fri Aug 19 15:58:01 2016 10+ relations: 4181867
  176. Fri Aug 19 15:58:01 2016 heaviest cycle: 28 relations
  177. Fri Aug 19 15:58:21 2016 RelProcTime: 6030
  178. Fri Aug 19 15:58:21 2016
  179. Fri Aug 19 15:58:21 2016 commencing linear algebra
  180. Fri Aug 19 15:58:22 2016 read 9687449 cycles
  181. Fri Aug 19 15:58:44 2016 cycles contain 32605168 unique relations
  182. Fri Aug 19 16:03:39 2016 read 32605168 relations
  183. Fri Aug 19 16:04:49 2016 using 20 quadratic characters above 4294917295
  184. Fri Aug 19 16:06:45 2016 building initial matrix
  185. Fri Aug 19 16:13:22 2016 memory use: 4159.8 MB
  186. Fri Aug 19 16:13:32 2016 read 9687449 cycles
  187. Fri Aug 19 16:13:32 2016 matrix is 9687272 x 9687449 (4835.3 MB) with weight 1408459786 (145.39/col)
  188. Fri Aug 19 16:13:32 2016 sparse part has weight 1160985280 (119.84/col)
  189. Fri Aug 19 16:15:46 2016 filtering completed in 2 passes
  190. Fri Aug 19 16:15:47 2016 matrix is 9687195 x 9687372 (4835.3 MB) with weight 1408456781 (145.39/col)
  191. Fri Aug 19 16:15:47 2016 sparse part has weight 1160984232 (119.85/col)
  192. Fri Aug 19 16:16:25 2016 matrix starts at (0, 0)
  193. Fri Aug 19 16:16:25 2016 matrix is 9687195 x 9687372 (4835.3 MB) with weight 1408456781 (145.39/col)
  194. Fri Aug 19 16:16:25 2016 sparse part has weight 1160984232 (119.85/col)
  195. Fri Aug 19 16:16:25 2016 saving the first 48 matrix rows for later
  196. Fri Aug 19 16:16:27 2016 matrix includes 64 packed rows
  197. Fri Aug 19 16:16:28 2016 matrix is 9687147 x 9687372 (4671.6 MB) with weight 1221399210 (126.08/col)
  198. Fri Aug 19 16:16:28 2016 sparse part has weight 1127749464 (116.41/col)
  199. Fri Aug 19 16:16:28 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  200. Fri Aug 19 16:17:33 2016 commencing Lanczos iteration (6 threads)
  201. Fri Aug 19 16:17:33 2016 memory use: 3980.0 MB
  202. Fri Aug 19 16:18:01 2016 linear algebra at 0.0%, ETA 47h51m
  203. Fri Aug 19 16:18:10 2016 checkpointing every 210000 dimensions
  204. Sun Aug 21 16:03:40 2016 lanczos halted after 153190 iterations (dim = 9687141)
  205. Sun Aug 21 16:03:52 2016 recovered 39 nontrivial dependencies
  206. Sun Aug 21 16:03:54 2016 BLanczosTime: 173133
  207. Sun Aug 21 16:03:54 2016
  208. Sun Aug 21 16:03:54 2016 commencing square root phase
  209. Sun Aug 21 16:03:54 2016 handling dependencies 1 to 64
  210. Sun Aug 21 16:03:54 2016 reading relations for dependency 1
  211. Sun Aug 21 16:03:56 2016 read 4842547 cycles
  212. Sun Aug 21 16:04:06 2016 cycles contain 16296718 unique relations
  213. Sun Aug 21 16:07:50 2016 read 16296718 relations
  214. Sun Aug 21 16:08:59 2016 multiplying 16296718 relations
  215. Sun Aug 21 16:21:30 2016 multiply complete, coefficients have about 507.91 million bits
  216. Sun Aug 21 16:21:32 2016 initial square root is modulo 1298906227
  217. Sun Aug 21 16:34:38 2016 GCD is N, no factor found
  218. Sun Aug 21 16:34:38 2016 reading relations for dependency 2
  219. Sun Aug 21 16:34:40 2016 read 4842604 cycles
  220. Sun Aug 21 16:34:50 2016 cycles contain 16300852 unique relations
  221. Sun Aug 21 16:38:34 2016 read 16300852 relations
  222. Sun Aug 21 16:39:43 2016 multiplying 16300852 relations
  223. Sun Aug 21 16:52:15 2016 multiply complete, coefficients have about 508.04 million bits
  224. Sun Aug 21 16:52:17 2016 initial square root is modulo 1305782851
  225. Sun Aug 21 17:05:23 2016 sqrtTime: 3689
  226. Sun Aug 21 17:05:23 2016 p88 factor: 3837156983974288929901017173504339413465004323209822261482704445085705602484751841664353
  227. Sun Aug 21 17:05:23 2016 p119 factor: 28831782729943692458973571964908559727733376848525551136430512546058014683909448780879758336782671586384640060516338897
  228. Sun Aug 21 17:05:23 2016 elapsed time 50:47:35
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