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  1. Mon Aug 29 09:01:26 2016
  2. Mon Aug 29 09:01:26 2016
  3. Mon Aug 29 09:01:26 2016 Msieve v. 1.53 (SVN 988M)
  4. Mon Aug 29 09:01:26 2016 random seeds: 8d482ef2 f3e326ad
  5. Mon Aug 29 09:01:26 2016 factoring 224768488651991132296016006233921005970576576952391274854348327065688670099871657687725523975313147170150466981269103307548980042428316601602116659785121461763596375679674395297194197297883330426431580481895843 (210 digits)
  6. Mon Aug 29 09:01:27 2016 searching for 15-digit factors
  7. Mon Aug 29 09:01:29 2016 commencing number field sieve (210-digit input)
  8. Mon Aug 29 09:01:29 2016 R0: 10000000000000000000000000000000000000000
  9. Mon Aug 29 09:01:29 2016 R1: -147808829414345923316083210206383297601
  10. Mon Aug 29 09:01:29 2016 A0: -9
  11. Mon Aug 29 09:01:29 2016 A1: 0
  12. Mon Aug 29 09:01:29 2016 A2: 0
  13. Mon Aug 29 09:01:29 2016 A3: 0
  14. Mon Aug 29 09:01:29 2016 A4: 0
  15. Mon Aug 29 09:01:29 2016 A5: 0
  16. Mon Aug 29 09:01:29 2016 A6: 10
  17. Mon Aug 29 09:01:29 2016 skew 0.98, size 5.391e-12, alpha 1.630, combined = 4.081e-13 rroots = 2
  18. Mon Aug 29 09:01:29 2016
  19. Mon Aug 29 09:01:29 2016 commencing relation filtering
  20. Mon Aug 29 09:01:29 2016 setting target matrix density to 130.0
  21. Mon Aug 29 09:01:29 2016 estimated available RAM is 16384.0 MB
  22. Mon Aug 29 09:01:29 2016 commencing duplicate removal, pass 1
  23. Mon Aug 29 09:28:24 2016 error -1 reading relation 185575753
  24. Mon Aug 29 09:31:24 2016 error -9 reading relation 206265372
  25. Mon Aug 29 09:31:24 2016 error -9 reading relation 206268920
  26. Mon Aug 29 09:31:26 2016 error -5 reading relation 206444279
  27. Mon Aug 29 09:31:43 2016 error -9 reading relation 208420194
  28. Mon Aug 29 09:32:04 2016 error -9 reading relation 210829511
  29. Mon Aug 29 09:32:49 2016 error -15 reading relation 216049830
  30. Mon Aug 29 09:32:50 2016 error -9 reading relation 216148456
  31. Mon Aug 29 09:32:53 2016 error -9 reading relation 216519672
  32. Mon Aug 29 09:32:54 2016 error -15 reading relation 216625580
  33. Mon Aug 29 09:34:59 2016 error -1 reading relation 231022480
  34. Mon Aug 29 09:35:04 2016 error -9 reading relation 231580889
  35. Mon Aug 29 09:35:10 2016 error -9 reading relation 232227598
  36. Mon Aug 29 09:35:10 2016 error -9 reading relation 232285305
  37. Mon Aug 29 09:35:13 2016 error -9 reading relation 232663364
  38. Mon Aug 29 09:35:16 2016 error -15 reading relation 232971466
  39. Mon Aug 29 09:35:17 2016 error -1 reading relation 233055573
  40. Mon Aug 29 09:35:39 2016 error -9 reading relation 235651533
  41. Mon Aug 29 09:35:40 2016 error -1 reading relation 235738232
  42. Mon Aug 29 09:36:34 2016 error -9 reading relation 242125163
  43. Mon Aug 29 09:36:46 2016 error -15 reading relation 243748435
  44. Mon Aug 29 09:36:47 2016 error -9 reading relation 243792557
  45. Mon Aug 29 09:37:31 2016 error -9 reading relation 250242951
  46. Mon Aug 29 09:37:50 2016 error -9 reading relation 252959261
  47. Mon Aug 29 09:37:56 2016 skipped 85 relations with b > 2^32
  48. Mon Aug 29 09:37:56 2016 skipped 12 relations with composite factors
  49. Mon Aug 29 09:37:56 2016 found 51338535 hash collisions in 253840921 relations
  50. Mon Aug 29 09:38:09 2016 added 1218074 free relations
  51. Mon Aug 29 09:38:09 2016 commencing duplicate removal, pass 2
  52. Mon Aug 29 09:41:48 2016 found 50453357 duplicates and 204605638 unique relations
  53. Mon Aug 29 09:41:48 2016 memory use: 1321.5 MB
  54. Mon Aug 29 09:41:48 2016 reading ideals above 159973376
  55. Mon Aug 29 09:41:48 2016 commencing singleton removal, initial pass
  56. Mon Aug 29 10:00:19 2016 memory use: 3012.0 MB
  57. Mon Aug 29 10:00:20 2016 reading all ideals from disk
  58. Mon Aug 29 10:00:28 2016 memory use: 3400.6 MB
  59. Mon Aug 29 10:00:35 2016 commencing in-memory singleton removal
  60. Mon Aug 29 10:00:42 2016 begin with 204605638 relations and 160122054 unique ideals
  61. Mon Aug 29 10:01:57 2016 reduce to 140394890 relations and 89945479 ideals in 13 passes
  62. Mon Aug 29 10:01:57 2016 max relations containing the same ideal: 40
  63. Mon Aug 29 10:02:07 2016 reading ideals above 720000
  64. Mon Aug 29 10:02:07 2016 commencing singleton removal, initial pass
  65. Mon Aug 29 10:19:03 2016 memory use: 3012.0 MB
  66. Mon Aug 29 10:19:03 2016 reading all ideals from disk
  67. Mon Aug 29 10:19:17 2016 memory use: 5491.2 MB
  68. Mon Aug 29 10:19:30 2016 keeping 107165883 ideals with weight <= 200, target excess is 717636
  69. Mon Aug 29 10:19:41 2016 commencing in-memory singleton removal
  70. Mon Aug 29 10:19:52 2016 begin with 140394890 relations and 107165883 unique ideals
  71. Mon Aug 29 10:20:48 2016 reduce to 140391865 relations and 107162858 ideals in 6 passes
  72. Mon Aug 29 10:20:48 2016 max relations containing the same ideal: 200
  73. Mon Aug 29 10:21:37 2016 removing 10106031 relations and 8106031 ideals in 2000000 cliques
  74. Mon Aug 29 10:21:40 2016 commencing in-memory singleton removal
  75. Mon Aug 29 10:21:50 2016 begin with 130285834 relations and 107162858 unique ideals
  76. Mon Aug 29 10:23:00 2016 reduce to 129752663 relations and 98513985 ideals in 8 passes
  77. Mon Aug 29 10:23:00 2016 max relations containing the same ideal: 197
  78. Mon Aug 29 10:23:44 2016 removing 7701793 relations and 5701793 ideals in 2000000 cliques
  79. Mon Aug 29 10:23:47 2016 commencing in-memory singleton removal
  80. Mon Aug 29 10:23:56 2016 begin with 122050870 relations and 98513985 unique ideals
  81. Mon Aug 29 10:24:53 2016 reduce to 121692900 relations and 92448558 ideals in 7 passes
  82. Mon Aug 29 10:24:53 2016 max relations containing the same ideal: 191
  83. Mon Aug 29 10:25:34 2016 removing 7005409 relations and 5005409 ideals in 2000000 cliques
  84. Mon Aug 29 10:25:37 2016 commencing in-memory singleton removal
  85. Mon Aug 29 10:25:46 2016 begin with 114687491 relations and 92448558 unique ideals
  86. Mon Aug 29 10:26:31 2016 reduce to 114376461 relations and 87127262 ideals in 6 passes
  87. Mon Aug 29 10:26:31 2016 max relations containing the same ideal: 186
  88. Mon Aug 29 10:27:10 2016 removing 6641956 relations and 4641956 ideals in 2000000 cliques
  89. Mon Aug 29 10:27:12 2016 commencing in-memory singleton removal
  90. Mon Aug 29 10:27:20 2016 begin with 107734505 relations and 87127262 unique ideals
  91. Mon Aug 29 10:28:09 2016 reduce to 107445206 relations and 82191277 ideals in 7 passes
  92. Mon Aug 29 10:28:09 2016 max relations containing the same ideal: 180
  93. Mon Aug 29 10:28:46 2016 removing 6410098 relations and 4410098 ideals in 2000000 cliques
  94. Mon Aug 29 10:28:48 2016 commencing in-memory singleton removal
  95. Mon Aug 29 10:28:56 2016 begin with 101035108 relations and 82191277 unique ideals
  96. Mon Aug 29 10:29:34 2016 reduce to 100756383 relations and 77497773 ideals in 6 passes
  97. Mon Aug 29 10:29:34 2016 max relations containing the same ideal: 177
  98. Mon Aug 29 10:30:08 2016 removing 6250348 relations and 4250348 ideals in 2000000 cliques
  99. Mon Aug 29 10:30:11 2016 commencing in-memory singleton removal
  100. Mon Aug 29 10:30:17 2016 begin with 94506035 relations and 77497773 unique ideals
  101. Mon Aug 29 10:30:53 2016 reduce to 94235266 relations and 72971739 ideals in 6 passes
  102. Mon Aug 29 10:30:53 2016 max relations containing the same ideal: 167
  103. Mon Aug 29 10:31:25 2016 removing 6132596 relations and 4132596 ideals in 2000000 cliques
  104. Mon Aug 29 10:31:27 2016 commencing in-memory singleton removal
  105. Mon Aug 29 10:31:33 2016 begin with 88102670 relations and 72971739 unique ideals
  106. Mon Aug 29 10:32:07 2016 reduce to 87831332 relations and 68562616 ideals in 6 passes
  107. Mon Aug 29 10:32:07 2016 max relations containing the same ideal: 158
  108. Mon Aug 29 10:32:37 2016 removing 6043549 relations and 4043549 ideals in 2000000 cliques
  109. Mon Aug 29 10:32:39 2016 commencing in-memory singleton removal
  110. Mon Aug 29 10:32:45 2016 begin with 81787783 relations and 68562616 unique ideals
  111. Mon Aug 29 10:33:20 2016 reduce to 81512778 relations and 64238548 ideals in 7 passes
  112. Mon Aug 29 10:33:20 2016 max relations containing the same ideal: 150
  113. Mon Aug 29 10:33:47 2016 removing 5972536 relations and 3972536 ideals in 2000000 cliques
  114. Mon Aug 29 10:33:49 2016 commencing in-memory singleton removal
  115. Mon Aug 29 10:33:54 2016 begin with 75540242 relations and 64238548 unique ideals
  116. Mon Aug 29 10:34:22 2016 reduce to 75257531 relations and 59977136 ideals in 6 passes
  117. Mon Aug 29 10:34:22 2016 max relations containing the same ideal: 144
  118. Mon Aug 29 10:34:47 2016 removing 5920582 relations and 3920582 ideals in 2000000 cliques
  119. Mon Aug 29 10:34:49 2016 commencing in-memory singleton removal
  120. Mon Aug 29 10:34:54 2016 begin with 69336949 relations and 59977136 unique ideals
  121. Mon Aug 29 10:35:19 2016 reduce to 69044422 relations and 55757390 ideals in 6 passes
  122. Mon Aug 29 10:35:19 2016 max relations containing the same ideal: 133
  123. Mon Aug 29 10:35:42 2016 removing 5878123 relations and 3878123 ideals in 2000000 cliques
  124. Mon Aug 29 10:35:44 2016 commencing in-memory singleton removal
  125. Mon Aug 29 10:35:48 2016 begin with 63166299 relations and 55757390 unique ideals
  126. Mon Aug 29 10:36:10 2016 reduce to 62857998 relations and 51563188 ideals in 6 passes
  127. Mon Aug 29 10:36:10 2016 max relations containing the same ideal: 125
  128. Mon Aug 29 10:36:31 2016 removing 5848555 relations and 3848555 ideals in 2000000 cliques
  129. Mon Aug 29 10:36:33 2016 commencing in-memory singleton removal
  130. Mon Aug 29 10:36:37 2016 begin with 57009443 relations and 51563188 unique ideals
  131. Mon Aug 29 10:37:00 2016 reduce to 56681669 relations and 47377986 ideals in 7 passes
  132. Mon Aug 29 10:37:00 2016 max relations containing the same ideal: 115
  133. Mon Aug 29 10:37:19 2016 removing 5827029 relations and 3827029 ideals in 2000000 cliques
  134. Mon Aug 29 10:37:21 2016 commencing in-memory singleton removal
  135. Mon Aug 29 10:37:24 2016 begin with 50854640 relations and 47377986 unique ideals
  136. Mon Aug 29 10:37:43 2016 reduce to 50498116 relations and 43183826 ideals in 7 passes
  137. Mon Aug 29 10:37:43 2016 max relations containing the same ideal: 106
  138. Mon Aug 29 10:38:01 2016 removing 5812502 relations and 3812502 ideals in 2000000 cliques
  139. Mon Aug 29 10:38:02 2016 commencing in-memory singleton removal
  140. Mon Aug 29 10:38:05 2016 begin with 44685614 relations and 43183826 unique ideals
  141. Mon Aug 29 10:38:22 2016 reduce to 44290511 relations and 38963028 ideals in 7 passes
  142. Mon Aug 29 10:38:22 2016 max relations containing the same ideal: 98
  143. Mon Aug 29 10:38:36 2016 removing 5814564 relations and 3814564 ideals in 2000000 cliques
  144. Mon Aug 29 10:38:38 2016 commencing in-memory singleton removal
  145. Mon Aug 29 10:38:40 2016 begin with 38475947 relations and 38963028 unique ideals
  146. Mon Aug 29 10:38:54 2016 reduce to 38020954 relations and 34676319 ideals in 7 passes
  147. Mon Aug 29 10:38:54 2016 max relations containing the same ideal: 93
  148. Mon Aug 29 10:39:06 2016 removing 5844189 relations and 3844189 ideals in 2000000 cliques
  149. Mon Aug 29 10:39:08 2016 commencing in-memory singleton removal
  150. Mon Aug 29 10:39:10 2016 begin with 32176765 relations and 34676319 unique ideals
  151. Mon Aug 29 10:39:24 2016 reduce to 31614547 relations and 30245177 ideals in 9 passes
  152. Mon Aug 29 10:39:24 2016 max relations containing the same ideal: 80
  153. Mon Aug 29 10:39:34 2016 removing 2011891 relations and 1474979 ideals in 536912 cliques
  154. Mon Aug 29 10:39:35 2016 commencing in-memory singleton removal
  155. Mon Aug 29 10:39:37 2016 begin with 29602656 relations and 30245177 unique ideals
  156. Mon Aug 29 10:39:45 2016 reduce to 29505489 relations and 28671614 ideals in 6 passes
  157. Mon Aug 29 10:39:45 2016 max relations containing the same ideal: 78
  158. Mon Aug 29 10:39:59 2016 relations with 0 large ideals: 27267
  159. Mon Aug 29 10:39:59 2016 relations with 1 large ideals: 13504
  160. Mon Aug 29 10:39:59 2016 relations with 2 large ideals: 172691
  161. Mon Aug 29 10:39:59 2016 relations with 3 large ideals: 1052653
  162. Mon Aug 29 10:39:59 2016 relations with 4 large ideals: 3429969
  163. Mon Aug 29 10:39:59 2016 relations with 5 large ideals: 6609358
  164. Mon Aug 29 10:39:59 2016 relations with 6 large ideals: 7914034
  165. Mon Aug 29 10:39:59 2016 relations with 7+ large ideals: 10286013
  166. Mon Aug 29 10:39:59 2016 commencing 2-way merge
  167. Mon Aug 29 10:40:12 2016 reduce to 20082997 relation sets and 19249122 unique ideals
  168. Mon Aug 29 10:40:12 2016 commencing full merge
  169. Mon Aug 29 10:47:27 2016 memory use: 2537.3 MB
  170. Mon Aug 29 10:47:31 2016 found 8813816 cycles, need 8789322
  171. Mon Aug 29 10:47:31 2016 weight of 8789322 cycles is about 1142851626 (130.03/cycle)
  172. Mon Aug 29 10:47:31 2016 distribution of cycle lengths:
  173. Mon Aug 29 10:47:31 2016 1 relations: 237891
  174. Mon Aug 29 10:47:31 2016 2 relations: 404523
  175. Mon Aug 29 10:47:31 2016 3 relations: 517338
  176. Mon Aug 29 10:47:31 2016 4 relations: 569530
  177. Mon Aug 29 10:47:31 2016 5 relations: 613619
  178. Mon Aug 29 10:47:31 2016 6 relations: 628378
  179. Mon Aug 29 10:47:31 2016 7 relations: 632065
  180. Mon Aug 29 10:47:31 2016 8 relations: 620928
  181. Mon Aug 29 10:47:31 2016 9 relations: 593601
  182. Mon Aug 29 10:47:31 2016 10+ relations: 3971449
  183. Mon Aug 29 10:47:31 2016 heaviest cycle: 28 relations
  184. Mon Aug 29 10:47:33 2016 commencing cycle optimization
  185. Mon Aug 29 10:47:52 2016 start with 84631940 relations
  186. Mon Aug 29 10:51:22 2016 pruned 4616098 relations
  187. Mon Aug 29 10:51:22 2016 memory use: 2097.6 MB
  188. Mon Aug 29 10:51:22 2016 distribution of cycle lengths:
  189. Mon Aug 29 10:51:22 2016 1 relations: 237891
  190. Mon Aug 29 10:51:22 2016 2 relations: 415557
  191. Mon Aug 29 10:51:22 2016 3 relations: 540891
  192. Mon Aug 29 10:51:22 2016 4 relations: 596770
  193. Mon Aug 29 10:51:22 2016 5 relations: 650251
  194. Mon Aug 29 10:51:22 2016 6 relations: 666770
  195. Mon Aug 29 10:51:22 2016 7 relations: 674577
  196. Mon Aug 29 10:51:22 2016 8 relations: 660663
  197. Mon Aug 29 10:51:22 2016 9 relations: 632040
  198. Mon Aug 29 10:51:22 2016 10+ relations: 3713912
  199. Mon Aug 29 10:51:22 2016 heaviest cycle: 28 relations
  200. Mon Aug 29 10:51:36 2016 RelProcTime: 6607
  201. Mon Aug 29 10:51:36 2016
  202. Mon Aug 29 10:51:36 2016 commencing linear algebra
  203. Mon Aug 29 10:51:37 2016 read 8789322 cycles
  204. Mon Aug 29 10:51:57 2016 cycles contain 29124624 unique relations
  205. Mon Aug 29 10:56:20 2016 read 29124624 relations
  206. Mon Aug 29 10:57:04 2016 using 20 quadratic characters above 4294917295
  207. Mon Aug 29 10:58:50 2016 building initial matrix
  208. Mon Aug 29 11:04:15 2016 memory use: 3648.7 MB
  209. Mon Aug 29 11:04:30 2016 read 8789322 cycles
  210. Mon Aug 29 11:04:31 2016 matrix is 8789145 x 8789322 (4381.8 MB) with weight 1243390034 (141.47/col)
  211. Mon Aug 29 11:04:31 2016 sparse part has weight 1051977343 (119.69/col)
  212. Mon Aug 29 11:05:58 2016 filtering completed in 2 passes
  213. Mon Aug 29 11:05:59 2016 matrix is 8789072 x 8789249 (4381.8 MB) with weight 1243387409 (141.47/col)
  214. Mon Aug 29 11:05:59 2016 sparse part has weight 1051976264 (119.69/col)
  215. Mon Aug 29 11:06:28 2016 matrix starts at (0, 0)
  216. Mon Aug 29 11:06:28 2016 matrix is 8789072 x 8789249 (4381.8 MB) with weight 1243387409 (141.47/col)
  217. Mon Aug 29 11:06:28 2016 sparse part has weight 1051976264 (119.69/col)
  218. Mon Aug 29 11:06:28 2016 saving the first 48 matrix rows for later
  219. Mon Aug 29 11:06:30 2016 matrix includes 64 packed rows
  220. Mon Aug 29 11:06:31 2016 matrix is 8789024 x 8789249 (4204.2 MB) with weight 1080433192 (122.93/col)
  221. Mon Aug 29 11:06:31 2016 sparse part has weight 1014203824 (115.39/col)
  222. Mon Aug 29 11:06:31 2016 using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  223. Mon Aug 29 11:07:21 2016 commencing Lanczos iteration (4 threads)
  224. Mon Aug 29 11:07:21 2016 memory use: 3570.3 MB
  225. Mon Aug 29 11:07:57 2016 linear algebra at 0.0%, ETA 54h29m
  226. Mon Aug 29 11:08:09 2016 checkpointing every 160000 dimensions
  227. Wed Aug 31 18:25:57 2016 lanczos halted after 138993 iterations (dim = 8789020)
  228. Wed Aug 31 18:26:05 2016 recovered 36 nontrivial dependencies
  229. Wed Aug 31 18:26:06 2016 BLanczosTime: 200070
  230. Wed Aug 31 18:26:06 2016
  231. Wed Aug 31 18:26:06 2016 commencing square root phase
  232. Wed Aug 31 18:26:06 2016 handling dependencies 1 to 64
  233. Wed Aug 31 18:26:06 2016 reading relations for dependency 1
  234. Wed Aug 31 18:26:08 2016 read 4395781 cycles
  235. Wed Aug 31 18:26:16 2016 cycles contain 14566306 unique relations
  236. Wed Aug 31 18:29:40 2016 read 14566306 relations
  237. Wed Aug 31 18:30:36 2016 multiplying 14566306 relations
  238. Wed Aug 31 18:39:38 2016 multiply complete, coefficients have about 410.42 million bits
  239. Wed Aug 31 18:39:39 2016 initial square root is modulo 23138407
  240. Wed Aug 31 18:48:56 2016 sqrtTime: 1370
  241. Wed Aug 31 18:48:56 2016 p95 factor: 53708447719951783146470668465725794742591438847791095786103442883464201459049484374884339825889
  242. Wed Aug 31 18:48:56 2016 p115 factor: 4184974583960903173214160140642353410644104783683842676745646834297996735890888637496858267661381797602304233891587
  243. Wed Aug 31 18:48:56 2016 elapsed time 57:47:30
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