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Aug 22nd, 2016
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  1. Mon Aug 15 22:15:10 2016 Msieve v. 1.52 (SVN exported)
  2. Mon Aug 15 22:15:10 2016 random seeds: 38d7a29d dd43254b
  3. Mon Aug 15 22:15:10 2016 factoring 148038612037593794585978893074414727603596259432502567698230387738557803175915712220709583312980787155910968599714064015816920866943985744625264173132514296565926145653509564164444220662422186360755174890537478469533270009525073704337 (234 digits)
  4. Mon Aug 15 22:15:13 2016 searching for 15-digit factors
  5. Mon Aug 15 22:15:16 2016 commencing number field sieve (234-digit input)
  6. Mon Aug 15 22:15:16 2016 R0: 5243338316756303634461458718861951455543
  7. Mon Aug 15 22:15:16 2016 R1: -710542735760100185871124267578125
  8. Mon Aug 15 22:15:16 2016 A0: 25
  9. Mon Aug 15 22:15:16 2016 A1: 0
  10. Mon Aug 15 22:15:16 2016 A2: 0
  11. Mon Aug 15 22:15:16 2016 A3: 0
  12. Mon Aug 15 22:15:16 2016 A4: 0
  13. Mon Aug 15 22:15:16 2016 A5: 0
  14. Mon Aug 15 22:15:16 2016 A6: 49
  15. Mon Aug 15 22:15:16 2016 skew 0.89, size 5.314e-12, alpha 0.618, combined = 4.094e-13 rroots = 0
  16. Mon Aug 15 22:15:16 2016
  17. Mon Aug 15 22:15:16 2016 commencing relation filtering
  18. Mon Aug 15 22:15:16 2016 setting target matrix density to 130.0
  19. Mon Aug 15 22:15:16 2016 estimated available RAM is 64392.0 MB
  20. Mon Aug 15 22:15:16 2016 commencing duplicate removal, pass 1
  21. Mon Aug 15 22:28:08 2016 error -9 reading relation 40639690
  22. Mon Aug 15 22:40:53 2016 error -15 reading relation 85156542
  23. Mon Aug 15 22:41:06 2016 error -5 reading relation 85919441
  24. Mon Aug 15 22:50:49 2016 error -9 reading relation 121131705
  25. Mon Aug 15 22:50:54 2016 error -9 reading relation 121440088
  26. Mon Aug 15 22:51:01 2016 error -9 reading relation 121887367
  27. Mon Aug 15 22:51:03 2016 error -9 reading relation 121995044
  28. Mon Aug 15 22:51:15 2016 error -9 reading relation 122686003
  29. Mon Aug 15 22:53:02 2016 error -9 reading relation 128892351
  30. Mon Aug 15 23:03:06 2016 error -15 reading relation 165523796
  31. Mon Aug 15 23:03:22 2016 error -15 reading relation 166467946
  32. Mon Aug 15 23:05:16 2016 error -1 reading relation 173389776
  33. Mon Aug 15 23:05:18 2016 error -15 reading relation 173465234
  34. Mon Aug 15 23:05:19 2016 error -15 reading relation 173549546
  35. Mon Aug 15 23:05:20 2016 error -1 reading relation 173611860
  36. Mon Aug 15 23:05:23 2016 error -15 reading relation 173816313
  37. Mon Aug 15 23:05:27 2016 error -15 reading relation 174021190
  38. Mon Aug 15 23:05:29 2016 error -9 reading relation 174124523
  39. Mon Aug 15 23:05:29 2016 error -5 reading relation 174124524
  40. Mon Aug 15 23:06:22 2016 error -11 reading relation 177381403
  41. Mon Aug 15 23:06:22 2016 error -9 reading relation 177381442
  42. Mon Aug 15 23:07:42 2016 error -1 reading relation 182156446
  43. Mon Aug 15 23:08:18 2016 error -15 reading relation 184321707
  44. Mon Aug 15 23:09:27 2016 error -9 reading relation 188528868
  45. Mon Aug 15 23:09:57 2016 error -9 reading relation 190332569
  46. Mon Aug 15 23:11:56 2016 error -9 reading relation 197444849
  47. Mon Aug 15 23:12:13 2016 error -9 reading relation 198505222
  48. Mon Aug 15 23:12:34 2016 error -15 reading relation 199754089
  49. Mon Aug 15 23:12:48 2016 error -15 reading relation 200598925
  50. Mon Aug 15 23:12:48 2016 error -5 reading relation 200640964
  51. Mon Aug 15 23:13:24 2016 error -5 reading relation 202850571
  52. Mon Aug 15 23:13:27 2016 error -15 reading relation 203008211
  53. Mon Aug 15 23:14:28 2016 error -5 reading relation 206788727
  54. Mon Aug 15 23:14:29 2016 error -9 reading relation 206797088
  55. Mon Aug 15 23:14:39 2016 error -11 reading relation 207447149
  56. Mon Aug 15 23:14:39 2016 error -9 reading relation 207447188
  57. Mon Aug 15 23:14:40 2016 error -5 reading relation 207489203
  58. Mon Aug 15 23:14:40 2016 error -1 reading relation 207489241
  59. Mon Aug 15 23:14:41 2016 error -11 reading relation 207560276
  60. Mon Aug 15 23:14:41 2016 error -9 reading relation 207560314
  61. Mon Aug 15 23:14:42 2016 error -15 reading relation 207589952
  62. Mon Aug 15 23:14:42 2016 error -15 reading relation 207589990
  63. Mon Aug 15 23:15:14 2016 error -9 reading relation 209518364
  64. Mon Aug 15 23:15:25 2016 error -9 reading relation 210243247
  65. Mon Aug 15 23:15:25 2016 error -9 reading relation 210243286
  66. Mon Aug 15 23:15:26 2016 error -9 reading relation 210301378
  67. Mon Aug 15 23:15:26 2016 error -9 reading relation 210301416
  68. Mon Aug 15 23:16:15 2016 error -15 reading relation 213286987
  69. Mon Aug 15 23:16:16 2016 error -9 reading relation 213318831
  70. Mon Aug 15 23:16:27 2016 error -15 reading relation 213987782
  71. Mon Aug 15 23:17:04 2016 error -9 reading relation 216258591
  72. Mon Aug 15 23:17:28 2016 error -15 reading relation 217722956
  73. Mon Aug 15 23:17:43 2016 error -15 reading relation 218640275
  74. Mon Aug 15 23:19:18 2016 error -15 reading relation 224577591
  75. Mon Aug 15 23:20:30 2016 error -9 reading relation 228935186
  76. Mon Aug 15 23:20:34 2016 error -11 reading relation 229133727
  77. Mon Aug 15 23:20:45 2016 error -15 reading relation 229778804
  78. Mon Aug 15 23:22:55 2016 skipped 76 relations with b > 2^32
  79. Mon Aug 15 23:22:55 2016 found 45999955 hash collisions in 237763219 relations
  80. Mon Aug 15 23:23:21 2016 added 1218934 free relations
  81. Mon Aug 15 23:23:21 2016 commencing duplicate removal, pass 2
  82. Mon Aug 15 23:56:48 2016 found 44814104 duplicates and 194168049 unique relations
  83. Mon Aug 15 23:56:48 2016 memory use: 1321.5 MB
  84. Mon Aug 15 23:56:48 2016 reading ideals above 720000
  85. Mon Aug 15 23:56:49 2016 commencing singleton removal, initial pass
  86. Tue Aug 16 01:07:58 2016 memory use: 5512.0 MB
  87. Tue Aug 16 01:07:58 2016 reading all ideals from disk
  88. Tue Aug 16 01:08:50 2016 memory use: 7567.6 MB
  89. Tue Aug 16 01:09:27 2016 keeping 173938031 ideals with weight <= 200, target excess is 979130
  90. Tue Aug 16 01:10:06 2016 commencing in-memory singleton removal
  91. Tue Aug 16 01:10:32 2016 begin with 194168049 relations and 173938031 unique ideals
  92. Tue Aug 16 01:14:54 2016 reduce to 126150902 relations and 98949886 ideals in 14 passes
  93. Tue Aug 16 01:14:54 2016 max relations containing the same ideal: 159
  94. Tue Aug 16 01:16:22 2016 removing 10605900 relations and 8605900 ideals in 2000000 cliques
  95. Tue Aug 16 01:16:27 2016 commencing in-memory singleton removal
  96. Tue Aug 16 01:16:42 2016 begin with 115545002 relations and 98949886 unique ideals
  97. Tue Aug 16 01:18:50 2016 reduce to 114893441 relations and 89679374 ideals in 8 passes
  98. Tue Aug 16 01:18:50 2016 max relations containing the same ideal: 148
  99. Tue Aug 16 01:20:06 2016 removing 8048679 relations and 6048679 ideals in 2000000 cliques
  100. Tue Aug 16 01:20:11 2016 commencing in-memory singleton removal
  101. Tue Aug 16 01:20:25 2016 begin with 106844762 relations and 89679374 unique ideals
  102. Tue Aug 16 01:22:09 2016 reduce to 106407826 relations and 83186173 ideals in 7 passes
  103. Tue Aug 16 01:22:09 2016 max relations containing the same ideal: 139
  104. Tue Aug 16 01:23:16 2016 removing 7298155 relations and 5298155 ideals in 2000000 cliques
  105. Tue Aug 16 01:23:20 2016 commencing in-memory singleton removal
  106. Tue Aug 16 01:23:32 2016 begin with 99109671 relations and 83186173 unique ideals
  107. Tue Aug 16 01:25:45 2016 reduce to 98725812 relations and 77497405 ideals in 11 passes
  108. Tue Aug 16 01:25:45 2016 max relations containing the same ideal: 133
  109. Tue Aug 16 01:26:48 2016 removing 6915543 relations and 4915543 ideals in 2000000 cliques
  110. Tue Aug 16 01:26:52 2016 commencing in-memory singleton removal
  111. Tue Aug 16 01:27:03 2016 begin with 91810269 relations and 77497405 unique ideals
  112. Tue Aug 16 01:28:09 2016 reduce to 91450064 relations and 72214998 ideals in 6 passes
  113. Tue Aug 16 01:28:09 2016 max relations containing the same ideal: 130
  114. Tue Aug 16 01:29:12 2016 removing 6677185 relations and 4677185 ideals in 2000000 cliques
  115. Tue Aug 16 01:29:16 2016 commencing in-memory singleton removal
  116. Tue Aug 16 01:29:27 2016 begin with 84772879 relations and 72214998 unique ideals
  117. Tue Aug 16 01:30:38 2016 reduce to 84422125 relations and 67180178 ideals in 7 passes
  118. Tue Aug 16 01:30:38 2016 max relations containing the same ideal: 124
  119. Tue Aug 16 01:31:30 2016 removing 6511527 relations and 4511527 ideals in 2000000 cliques
  120. Tue Aug 16 01:31:34 2016 commencing in-memory singleton removal
  121. Tue Aug 16 01:31:43 2016 begin with 77910598 relations and 67180178 unique ideals
  122. Tue Aug 16 01:32:47 2016 reduce to 77559050 relations and 62309763 ideals in 7 passes
  123. Tue Aug 16 01:32:47 2016 max relations containing the same ideal: 116
  124. Tue Aug 16 01:33:36 2016 removing 6394225 relations and 4394225 ideals in 2000000 cliques
  125. Tue Aug 16 01:33:39 2016 commencing in-memory singleton removal
  126. Tue Aug 16 01:33:48 2016 begin with 71164825 relations and 62309763 unique ideals
  127. Tue Aug 16 01:34:46 2016 reduce to 70806165 relations and 57548965 ideals in 7 passes
  128. Tue Aug 16 01:34:46 2016 max relations containing the same ideal: 110
  129. Tue Aug 16 01:35:34 2016 removing 6311022 relations and 4311022 ideals in 2000000 cliques
  130. Tue Aug 16 01:35:38 2016 commencing in-memory singleton removal
  131. Tue Aug 16 01:35:46 2016 begin with 64495143 relations and 57548965 unique ideals
  132. Tue Aug 16 01:36:44 2016 reduce to 64119834 relations and 52853521 ideals in 8 passes
  133. Tue Aug 16 01:36:44 2016 max relations containing the same ideal: 103
  134. Tue Aug 16 01:37:23 2016 removing 6249964 relations and 4249964 ideals in 2000000 cliques
  135. Tue Aug 16 01:37:26 2016 commencing in-memory singleton removal
  136. Tue Aug 16 01:37:33 2016 begin with 57869870 relations and 52853521 unique ideals
  137. Tue Aug 16 01:38:25 2016 reduce to 57475579 relations and 48198499 ideals in 8 passes
  138. Tue Aug 16 01:38:25 2016 max relations containing the same ideal: 97
  139. Tue Aug 16 01:39:01 2016 removing 6204738 relations and 4204738 ideals in 2000000 cliques
  140. Tue Aug 16 01:39:04 2016 commencing in-memory singleton removal
  141. Tue Aug 16 01:39:10 2016 begin with 51270841 relations and 48198499 unique ideals
  142. Tue Aug 16 01:39:49 2016 reduce to 50847180 relations and 43557377 ideals in 7 passes
  143. Tue Aug 16 01:39:49 2016 max relations containing the same ideal: 91
  144. Tue Aug 16 01:40:21 2016 removing 6175234 relations and 4175234 ideals in 2000000 cliques
  145. Tue Aug 16 01:40:24 2016 commencing in-memory singleton removal
  146. Tue Aug 16 01:40:29 2016 begin with 44671946 relations and 43557377 unique ideals
  147. Tue Aug 16 01:41:03 2016 reduce to 44204020 relations and 38898600 ideals in 7 passes
  148. Tue Aug 16 01:41:03 2016 max relations containing the same ideal: 81
  149. Tue Aug 16 01:41:32 2016 removing 6159189 relations and 4159189 ideals in 2000000 cliques
  150. Tue Aug 16 01:41:35 2016 commencing in-memory singleton removal
  151. Tue Aug 16 01:41:39 2016 begin with 38044831 relations and 38898600 unique ideals
  152. Tue Aug 16 01:42:19 2016 reduce to 37509780 relations and 34183922 ideals in 8 passes
  153. Tue Aug 16 01:42:19 2016 max relations containing the same ideal: 70
  154. Tue Aug 16 01:42:42 2016 removing 6166110 relations and 4166110 ideals in 2000000 cliques
  155. Tue Aug 16 01:42:45 2016 commencing in-memory singleton removal
  156. Tue Aug 16 01:42:48 2016 begin with 31343670 relations and 34183922 unique ideals
  157. Tue Aug 16 01:43:17 2016 reduce to 30689261 relations and 29333697 ideals in 9 passes
  158. Tue Aug 16 01:43:17 2016 max relations containing the same ideal: 67
  159. Tue Aug 16 01:43:37 2016 removing 1021285 relations and 801512 ideals in 219773 cliques
  160. Tue Aug 16 01:43:38 2016 commencing in-memory singleton removal
  161. Tue Aug 16 01:43:41 2016 begin with 29667976 relations and 29333697 unique ideals
  162. Tue Aug 16 01:44:00 2016 reduce to 29642199 relations and 28506231 ideals in 6 passes
  163. Tue Aug 16 01:44:00 2016 max relations containing the same ideal: 64
  164. Tue Aug 16 01:44:25 2016 relations with 0 large ideals: 37145
  165. Tue Aug 16 01:44:25 2016 relations with 1 large ideals: 29810
  166. Tue Aug 16 01:44:25 2016 relations with 2 large ideals: 342850
  167. Tue Aug 16 01:44:25 2016 relations with 3 large ideals: 1764351
  168. Tue Aug 16 01:44:25 2016 relations with 4 large ideals: 4800962
  169. Tue Aug 16 01:44:25 2016 relations with 5 large ideals: 7678769
  170. Tue Aug 16 01:44:25 2016 relations with 6 large ideals: 7573974
  171. Tue Aug 16 01:44:25 2016 relations with 7+ large ideals: 7414338
  172. Tue Aug 16 01:44:25 2016 commencing 2-way merge
  173. Tue Aug 16 01:44:49 2016 reduce to 19718494 relation sets and 18582526 unique ideals
  174. Tue Aug 16 01:44:49 2016 commencing full merge
  175. Tue Aug 16 01:56:04 2016 memory use: 2411.7 MB
  176. Tue Aug 16 01:56:06 2016 found 8643277 cycles, need 8598726
  177. Tue Aug 16 01:56:10 2016 weight of 8598726 cycles is about 1118128909 (130.03/cycle)
  178. Tue Aug 16 01:56:10 2016 distribution of cycle lengths:
  179. Tue Aug 16 01:56:10 2016 1 relations: 254726
  180. Tue Aug 16 01:56:10 2016 2 relations: 411528
  181. Tue Aug 16 01:56:10 2016 3 relations: 515955
  182. Tue Aug 16 01:56:10 2016 4 relations: 553956
  183. Tue Aug 16 01:56:10 2016 5 relations: 587917
  184. Tue Aug 16 01:56:10 2016 6 relations: 596300
  185. Tue Aug 16 01:56:10 2016 7 relations: 596753
  186. Tue Aug 16 01:56:10 2016 8 relations: 584006
  187. Tue Aug 16 01:56:10 2016 9 relations: 559289
  188. Tue Aug 16 01:56:10 2016 10+ relations: 3938296
  189. Tue Aug 16 01:56:10 2016 heaviest cycle: 28 relations
  190. Tue Aug 16 01:56:13 2016 commencing cycle optimization
  191. Tue Aug 16 01:56:39 2016 start with 83638144 relations
  192. Tue Aug 16 02:01:59 2016 pruned 4360983 relations
  193. Tue Aug 16 02:01:59 2016 memory use: 2086.1 MB
  194. Tue Aug 16 02:01:59 2016 distribution of cycle lengths:
  195. Tue Aug 16 02:01:59 2016 1 relations: 254726
  196. Tue Aug 16 02:01:59 2016 2 relations: 422428
  197. Tue Aug 16 02:01:59 2016 3 relations: 538766
  198. Tue Aug 16 02:01:59 2016 4 relations: 580349
  199. Tue Aug 16 02:01:59 2016 5 relations: 621429
  200. Tue Aug 16 02:01:59 2016 6 relations: 630373
  201. Tue Aug 16 02:01:59 2016 7 relations: 634979
  202. Tue Aug 16 02:01:59 2016 8 relations: 618425
  203. Tue Aug 16 02:01:59 2016 9 relations: 593285
  204. Tue Aug 16 02:01:59 2016 10+ relations: 3703966
  205. Tue Aug 16 02:01:59 2016 heaviest cycle: 28 relations
  206. Tue Aug 16 02:02:16 2016 RelProcTime: 13620
  207. Tue Aug 16 02:02:16 2016 elapsed time 03:47:06
  208.  
  209. Tue Aug 16 11:27:54 2016 Msieve v. 1.52 (SVN exported)
  210. Tue Aug 16 11:27:54 2016 random seeds: 96f4bf2a 1a9ec51f
  211. Tue Aug 16 11:27:54 2016 factoring 148038612037593794585978893074414727603596259432502567698230387738557803175915712220709583312980787155910968599714064015816920866943985744625264173132514296565926145653509564164444220662422186360755174890537478469533270009525073704337 (234 digits)
  212. Tue Aug 16 11:27:57 2016 searching for 15-digit factors
  213. Tue Aug 16 11:27:59 2016 commencing number field sieve (234-digit input)
  214. Tue Aug 16 11:27:59 2016 R0: 5243338316756303634461458718861951455543
  215. Tue Aug 16 11:27:59 2016 R1: -710542735760100185871124267578125
  216. Tue Aug 16 11:27:59 2016 A0: 25
  217. Tue Aug 16 11:27:59 2016 A1: 0
  218. Tue Aug 16 11:27:59 2016 A2: 0
  219. Tue Aug 16 11:27:59 2016 A3: 0
  220. Tue Aug 16 11:27:59 2016 A4: 0
  221. Tue Aug 16 11:27:59 2016 A5: 0
  222. Tue Aug 16 11:27:59 2016 A6: 49
  223. Tue Aug 16 11:27:59 2016 skew 0.89, size 5.314e-12, alpha 0.618, combined = 4.094e-13 rroots = 0
  224. Tue Aug 16 11:27:59 2016
  225. Tue Aug 16 11:27:59 2016 commencing linear algebra
  226. Tue Aug 16 11:28:01 2016 read 8598726 cycles
  227. Tue Aug 16 11:28:28 2016 cycles contain 29109725 unique relations
  228. Tue Aug 16 12:07:09 2016 read 29109725 relations
  229. Tue Aug 16 12:08:39 2016 using 20 quadratic characters above 2147483030
  230. Tue Aug 16 12:11:49 2016 building initial matrix
  231. Tue Aug 16 12:20:49 2016 memory use: 3664.7 MB
  232. Tue Aug 16 12:20:56 2016 read 8598726 cycles
  233. Tue Aug 16 12:20:59 2016 matrix is 8598549 x 8598726 (4320.6 MB) with weight 1237022590 (143.86/col)
  234. Tue Aug 16 12:20:59 2016 sparse part has weight 1038044635 (120.72/col)
  235. Tue Aug 16 12:24:03 2016 filtering completed in 2 passes
  236. Tue Aug 16 12:24:06 2016 matrix is 8598438 x 8598615 (4320.6 MB) with weight 1237018075 (143.86/col)
  237. Tue Aug 16 12:24:06 2016 sparse part has weight 1038042716 (120.72/col)
  238. Tue Aug 16 12:25:14 2016 matrix starts at (0, 0)
  239. Tue Aug 16 12:25:17 2016 matrix is 8598438 x 8598615 (4320.6 MB) with weight 1237018075 (143.86/col)
  240. Tue Aug 16 12:25:17 2016 sparse part has weight 1038042716 (120.72/col)
  241. Tue Aug 16 12:25:17 2016 saving the first 48 matrix rows for later
  242. Tue Aug 16 12:25:19 2016 matrix includes 64 packed rows
  243. Tue Aug 16 12:25:22 2016 matrix is 8598390 x 8598615 (4136.5 MB) with weight 1079274814 (125.52/col)
  244. Tue Aug 16 12:25:22 2016 sparse part has weight 998366384 (116.11/col)
  245. Tue Aug 16 12:25:22 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  246. Tue Aug 16 12:26:26 2016 commencing Lanczos iteration (12 threads)
  247. Tue Aug 16 12:26:26 2016 memory use: 3508.1 MB
  248. Tue Aug 16 12:26:57 2016 linear algebra at 0.0%, ETA 47h22m
  249. Tue Aug 16 12:27:06 2016 checkpointing every 190000 dimensions
  250. Thu Aug 18 11:43:31 2016 lanczos halted after 135976 iterations (dim = 8598390)
  251. Thu Aug 18 11:43:42 2016 recovered 38 nontrivial dependencies
  252. Thu Aug 18 11:43:42 2016 BLanczosTime: 173743
  253. Thu Aug 18 11:43:42 2016
  254. Thu Aug 18 11:43:42 2016 commencing square root phase
  255. Thu Aug 18 11:43:42 2016 reading relations for dependency 1
  256. Thu Aug 18 11:43:45 2016 read 4301061 cycles
  257. Thu Aug 18 11:44:00 2016 cycles contain 14555112 unique relations
  258. Thu Aug 18 12:20:20 2016 read 14555112 relations
  259. Thu Aug 18 12:22:14 2016 multiplying 14555112 relations
  260. Thu Aug 18 12:40:38 2016 multiply complete, coefficients have about 442.26 million bits
  261. Thu Aug 18 12:40:40 2016 initial square root is modulo 86200039
  262. Thu Aug 18 13:00:56 2016 sqrtTime: 4634
  263. Thu Aug 18 13:00:56 2016 prp71 factor: 29515949928403129755767132902752058254513421752361973311578119109639937
  264. Thu Aug 18 13:00:56 2016 prp163 factor: 5015546251999044882319660753680757002088174650287025805873032000603562733258575236797047742522035835901812277903930694468890530722467707211146739150623251530221201
  265. Thu Aug 18 13:00:56 2016 elapsed time 49:33:02
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