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Aug 25th, 2016
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  1. Tue Aug 23 19:15:01 2016
  2. Tue Aug 23 19:15:01 2016
  3. Tue Aug 23 19:15:01 2016 Msieve v. 1.53 (SVN 988M)
  4. Tue Aug 23 19:15:01 2016 random seeds: defa7639 7ee31670
  5. Tue Aug 23 19:15:01 2016 factoring 3328153887016466295652890737377274902269553836334279349123616592919472789402957847594734810120359070043227840233446953284029837609795539261887712602189021253374644452665339457781316575990816734356369412597911210341 (214 digits)
  6. Tue Aug 23 19:15:01 2016 searching for 15-digit factors
  7. Tue Aug 23 19:15:03 2016 commencing number field sieve (214-digit input)
  8. Tue Aug 23 19:15:03 2016 R0: 8505622499821102144576131684114829934592
  9. Tue Aug 23 19:15:03 2016 R1: -18562115921017574302453163671207
  10. Tue Aug 23 19:15:03 2016 A0: -7
  11. Tue Aug 23 19:15:03 2016 A1: 0
  12. Tue Aug 23 19:15:03 2016 A2: 0
  13. Tue Aug 23 19:15:03 2016 A3: 0
  14. Tue Aug 23 19:15:03 2016 A4: 0
  15. Tue Aug 23 19:15:03 2016 A5: 0
  16. Tue Aug 23 19:15:03 2016 A6: 12
  17. Tue Aug 23 19:15:03 2016 skew 0.91, size 7.383e-12, alpha 0.690, combined = 5.087e-13 rroots = 2
  18. Tue Aug 23 19:15:03 2016
  19. Tue Aug 23 19:15:03 2016 commencing relation filtering
  20. Tue Aug 23 19:15:03 2016 setting target matrix density to 130.0
  21. Tue Aug 23 19:15:03 2016 estimated available RAM is 65536.0 MB
  22. Tue Aug 23 19:15:03 2016 commencing duplicate removal, pass 1
  23. Tue Aug 23 19:33:11 2016 error -9 reading relation 146570256
  24. Tue Aug 23 19:44:32 2016 error -15 reading relation 238068396
  25. Tue Aug 23 19:44:33 2016 error -1 reading relation 238196732
  26. Tue Aug 23 19:44:33 2016 error -15 reading relation 238253193
  27. Tue Aug 23 19:45:20 2016 error -15 reading relation 244554622
  28. Tue Aug 23 19:45:49 2016 error -5 reading relation 248519254
  29. Tue Aug 23 19:46:23 2016 error -9 reading relation 253150303
  30. Tue Aug 23 19:46:23 2016 error -15 reading relation 253168453
  31. Tue Aug 23 19:46:27 2016 error -1 reading relation 253704067
  32. Tue Aug 23 19:46:38 2016 error -15 reading relation 255189999
  33. Tue Aug 23 19:46:38 2016 error -1 reading relation 255190000
  34. Tue Aug 23 19:46:38 2016 error -1 reading relation 255224234
  35. Tue Aug 23 19:47:01 2016 skipped 71 relations with b > 2^32
  36. Tue Aug 23 19:47:01 2016 skipped 11 relations with composite factors
  37. Tue Aug 23 19:47:01 2016 found 50201070 hash collisions in 258475053 relations
  38. Tue Aug 23 19:47:16 2016 added 1218292 free relations
  39. Tue Aug 23 19:47:16 2016 commencing duplicate removal, pass 2
  40. Tue Aug 23 19:51:09 2016 found 48129108 duplicates and 211564237 unique relations
  41. Tue Aug 23 19:51:09 2016 memory use: 1321.5 MB
  42. Tue Aug 23 19:51:09 2016 reading ideals above 720000
  43. Tue Aug 23 19:51:09 2016 commencing singleton removal, initial pass
  44. Tue Aug 23 20:17:06 2016 memory use: 5512.0 MB
  45. Tue Aug 23 20:17:06 2016 reading all ideals from disk
  46. Tue Aug 23 20:17:11 2016 memory use: 8239.2 MB
  47. Tue Aug 23 20:17:33 2016 keeping 178031410 ideals with weight <= 200, target excess is 1070603
  48. Tue Aug 23 20:17:58 2016 commencing in-memory singleton removal
  49. Tue Aug 23 20:18:14 2016 begin with 211564237 relations and 178031410 unique ideals
  50. Tue Aug 23 20:21:04 2016 reduce to 149143687 relations and 110104489 ideals in 13 passes
  51. Tue Aug 23 20:21:04 2016 max relations containing the same ideal: 167
  52. Tue Aug 23 20:22:02 2016 removing 9697272 relations and 7697272 ideals in 2000000 cliques
  53. Tue Aug 23 20:22:06 2016 commencing in-memory singleton removal
  54. Tue Aug 23 20:22:16 2016 begin with 139446415 relations and 110104489 unique ideals
  55. Tue Aug 23 20:23:36 2016 reduce to 138974454 relations and 101927181 ideals in 7 passes
  56. Tue Aug 23 20:23:36 2016 max relations containing the same ideal: 159
  57. Tue Aug 23 20:24:30 2016 removing 7407450 relations and 5407450 ideals in 2000000 cliques
  58. Tue Aug 23 20:24:34 2016 commencing in-memory singleton removal
  59. Tue Aug 23 20:24:44 2016 begin with 131567004 relations and 101927181 unique ideals
  60. Tue Aug 23 20:25:59 2016 reduce to 131249353 relations and 96197340 ideals in 7 passes
  61. Tue Aug 23 20:25:59 2016 max relations containing the same ideal: 153
  62. Tue Aug 23 20:26:50 2016 removing 6754082 relations and 4754082 ideals in 2000000 cliques
  63. Tue Aug 23 20:26:53 2016 commencing in-memory singleton removal
  64. Tue Aug 23 20:27:02 2016 begin with 124495271 relations and 96197340 unique ideals
  65. Tue Aug 23 20:28:13 2016 reduce to 124219495 relations and 91163382 ideals in 7 passes
  66. Tue Aug 23 20:28:13 2016 max relations containing the same ideal: 150
  67. Tue Aug 23 20:29:02 2016 removing 6411860 relations and 4411860 ideals in 2000000 cliques
  68. Tue Aug 23 20:29:05 2016 commencing in-memory singleton removal
  69. Tue Aug 23 20:29:13 2016 begin with 117807635 relations and 91163382 unique ideals
  70. Tue Aug 23 20:30:11 2016 reduce to 117556402 relations and 86496441 ideals in 6 passes
  71. Tue Aug 23 20:30:11 2016 max relations containing the same ideal: 143
  72. Tue Aug 23 20:30:56 2016 removing 6195589 relations and 4195589 ideals in 2000000 cliques
  73. Tue Aug 23 20:30:59 2016 commencing in-memory singleton removal
  74. Tue Aug 23 20:31:07 2016 begin with 111360813 relations and 86496441 unique ideals
  75. Tue Aug 23 20:32:01 2016 reduce to 111121333 relations and 82057521 ideals in 6 passes
  76. Tue Aug 23 20:32:01 2016 max relations containing the same ideal: 140
  77. Tue Aug 23 20:32:44 2016 removing 6040491 relations and 4040491 ideals in 2000000 cliques
  78. Tue Aug 23 20:32:47 2016 commencing in-memory singleton removal
  79. Tue Aug 23 20:32:55 2016 begin with 105080842 relations and 82057521 unique ideals
  80. Tue Aug 23 20:33:45 2016 reduce to 104848354 relations and 77780757 ideals in 6 passes
  81. Tue Aug 23 20:33:45 2016 max relations containing the same ideal: 138
  82. Tue Aug 23 20:34:26 2016 removing 5930861 relations and 3930861 ideals in 2000000 cliques
  83. Tue Aug 23 20:34:29 2016 commencing in-memory singleton removal
  84. Tue Aug 23 20:34:36 2016 begin with 98917493 relations and 77780757 unique ideals
  85. Tue Aug 23 20:35:31 2016 reduce to 98685594 relations and 73613979 ideals in 7 passes
  86. Tue Aug 23 20:35:31 2016 max relations containing the same ideal: 131
  87. Tue Aug 23 20:36:10 2016 removing 5839678 relations and 3839678 ideals in 2000000 cliques
  88. Tue Aug 23 20:36:12 2016 commencing in-memory singleton removal
  89. Tue Aug 23 20:36:19 2016 begin with 92845916 relations and 73613979 unique ideals
  90. Tue Aug 23 20:37:03 2016 reduce to 92613848 relations and 69537923 ideals in 6 passes
  91. Tue Aug 23 20:37:03 2016 max relations containing the same ideal: 123
  92. Tue Aug 23 20:37:39 2016 removing 5774993 relations and 3774993 ideals in 2000000 cliques
  93. Tue Aug 23 20:37:42 2016 commencing in-memory singleton removal
  94. Tue Aug 23 20:37:48 2016 begin with 86838855 relations and 69537923 unique ideals
  95. Tue Aug 23 20:38:29 2016 reduce to 86603123 relations and 65522491 ideals in 6 passes
  96. Tue Aug 23 20:38:29 2016 max relations containing the same ideal: 118
  97. Tue Aug 23 20:39:03 2016 removing 5721817 relations and 3721817 ideals in 2000000 cliques
  98. Tue Aug 23 20:39:05 2016 commencing in-memory singleton removal
  99. Tue Aug 23 20:39:11 2016 begin with 80881306 relations and 65522491 unique ideals
  100. Tue Aug 23 20:39:49 2016 reduce to 80639484 relations and 61553817 ideals in 6 passes
  101. Tue Aug 23 20:39:49 2016 max relations containing the same ideal: 112
  102. Tue Aug 23 20:40:21 2016 removing 5676518 relations and 3676518 ideals in 2000000 cliques
  103. Tue Aug 23 20:40:23 2016 commencing in-memory singleton removal
  104. Tue Aug 23 20:40:28 2016 begin with 74962966 relations and 61553817 unique ideals
  105. Tue Aug 23 20:41:03 2016 reduce to 74712536 relations and 57621452 ideals in 6 passes
  106. Tue Aug 23 20:41:03 2016 max relations containing the same ideal: 107
  107. Tue Aug 23 20:41:33 2016 removing 5651327 relations and 3651327 ideals in 2000000 cliques
  108. Tue Aug 23 20:41:35 2016 commencing in-memory singleton removal
  109. Tue Aug 23 20:41:39 2016 begin with 69061209 relations and 57621452 unique ideals
  110. Tue Aug 23 20:42:11 2016 reduce to 68799418 relations and 53702076 ideals in 6 passes
  111. Tue Aug 23 20:42:11 2016 max relations containing the same ideal: 102
  112. Tue Aug 23 20:42:38 2016 removing 5629112 relations and 3629112 ideals in 2000000 cliques
  113. Tue Aug 23 20:42:41 2016 commencing in-memory singleton removal
  114. Tue Aug 23 20:42:45 2016 begin with 63170306 relations and 53702076 unique ideals
  115. Tue Aug 23 20:43:14 2016 reduce to 62894919 relations and 49790447 ideals in 6 passes
  116. Tue Aug 23 20:43:14 2016 max relations containing the same ideal: 96
  117. Tue Aug 23 20:43:38 2016 removing 5617217 relations and 3617217 ideals in 2000000 cliques
  118. Tue Aug 23 20:43:40 2016 commencing in-memory singleton removal
  119. Tue Aug 23 20:43:44 2016 begin with 57277702 relations and 49790447 unique ideals
  120. Tue Aug 23 20:44:14 2016 reduce to 56982424 relations and 45869863 ideals in 7 passes
  121. Tue Aug 23 20:44:14 2016 max relations containing the same ideal: 89
  122. Tue Aug 23 20:44:37 2016 removing 5607977 relations and 3607977 ideals in 2000000 cliques
  123. Tue Aug 23 20:44:39 2016 commencing in-memory singleton removal
  124. Tue Aug 23 20:44:42 2016 begin with 51374447 relations and 45869863 unique ideals
  125. Tue Aug 23 20:45:09 2016 reduce to 51054505 relations and 41932380 ideals in 7 passes
  126. Tue Aug 23 20:45:09 2016 max relations containing the same ideal: 83
  127. Tue Aug 23 20:45:29 2016 removing 5607866 relations and 3607866 ideals in 2000000 cliques
  128. Tue Aug 23 20:45:31 2016 commencing in-memory singleton removal
  129. Tue Aug 23 20:45:34 2016 begin with 45446639 relations and 41932380 unique ideals
  130. Tue Aug 23 20:45:54 2016 reduce to 45092721 relations and 37958917 ideals in 6 passes
  131. Tue Aug 23 20:45:54 2016 max relations containing the same ideal: 81
  132. Tue Aug 23 20:46:12 2016 removing 5616285 relations and 3616285 ideals in 2000000 cliques
  133. Tue Aug 23 20:46:13 2016 commencing in-memory singleton removal
  134. Tue Aug 23 20:46:16 2016 begin with 39476436 relations and 37958917 unique ideals
  135. Tue Aug 23 20:46:36 2016 reduce to 39073730 relations and 33925055 ideals in 7 passes
  136. Tue Aug 23 20:46:36 2016 max relations containing the same ideal: 77
  137. Tue Aug 23 20:46:51 2016 removing 5639297 relations and 3639297 ideals in 2000000 cliques
  138. Tue Aug 23 20:46:53 2016 commencing in-memory singleton removal
  139. Tue Aug 23 20:46:55 2016 begin with 33434433 relations and 33925055 unique ideals
  140. Tue Aug 23 20:47:12 2016 reduce to 32956085 relations and 29787273 ideals in 7 passes
  141. Tue Aug 23 20:47:12 2016 max relations containing the same ideal: 68
  142. Tue Aug 23 20:47:25 2016 removing 5515625 relations and 3588713 ideals in 1926912 cliques
  143. Tue Aug 23 20:47:26 2016 commencing in-memory singleton removal
  144. Tue Aug 23 20:47:28 2016 begin with 27440460 relations and 29787273 unique ideals
  145. Tue Aug 23 20:47:45 2016 reduce to 26858088 relations and 25587377 ideals in 9 passes
  146. Tue Aug 23 20:47:45 2016 max relations containing the same ideal: 55
  147. Tue Aug 23 20:47:55 2016 removing 166121 relations and 137310 ideals in 28811 cliques
  148. Tue Aug 23 20:47:56 2016 commencing in-memory singleton removal
  149. Tue Aug 23 20:47:58 2016 begin with 26691967 relations and 25587377 unique ideals
  150. Tue Aug 23 20:48:07 2016 reduce to 26690993 relations and 25449093 ideals in 5 passes
  151. Tue Aug 23 20:48:07 2016 max relations containing the same ideal: 55
  152. Tue Aug 23 20:48:11 2016 relations with 0 large ideals: 40837
  153. Tue Aug 23 20:48:11 2016 relations with 1 large ideals: 38960
  154. Tue Aug 23 20:48:11 2016 relations with 2 large ideals: 435605
  155. Tue Aug 23 20:48:11 2016 relations with 3 large ideals: 2049665
  156. Tue Aug 23 20:48:11 2016 relations with 4 large ideals: 5045205
  157. Tue Aug 23 20:48:11 2016 relations with 5 large ideals: 7233155
  158. Tue Aug 23 20:48:11 2016 relations with 6 large ideals: 6382909
  159. Tue Aug 23 20:48:11 2016 relations with 7+ large ideals: 5464657
  160. Tue Aug 23 20:48:11 2016 commencing 2-way merge
  161. Tue Aug 23 20:48:25 2016 reduce to 18194175 relation sets and 16952275 unique ideals
  162. Tue Aug 23 20:48:25 2016 commencing full merge
  163. Tue Aug 23 20:54:46 2016 memory use: 2133.0 MB
  164. Tue Aug 23 20:54:49 2016 found 7932841 cycles, need 7878475
  165. Tue Aug 23 20:54:49 2016 weight of 7878475 cycles is about 1024440244 (130.03/cycle)
  166. Tue Aug 23 20:54:49 2016 distribution of cycle lengths:
  167. Tue Aug 23 20:54:49 2016 1 relations: 213846
  168. Tue Aug 23 20:54:49 2016 2 relations: 364439
  169. Tue Aug 23 20:54:49 2016 3 relations: 466630
  170. Tue Aug 23 20:54:49 2016 4 relations: 515586
  171. Tue Aug 23 20:54:49 2016 5 relations: 555139
  172. Tue Aug 23 20:54:49 2016 6 relations: 571354
  173. Tue Aug 23 20:54:49 2016 7 relations: 573558
  174. Tue Aug 23 20:54:49 2016 8 relations: 558006
  175. Tue Aug 23 20:54:49 2016 9 relations: 530823
  176. Tue Aug 23 20:54:49 2016 10+ relations: 3529094
  177. Tue Aug 23 20:54:49 2016 heaviest cycle: 28 relations
  178. Tue Aug 23 20:54:52 2016 commencing cycle optimization
  179. Tue Aug 23 20:55:10 2016 start with 75703969 relations
  180. Tue Aug 23 20:58:32 2016 pruned 4219272 relations
  181. Tue Aug 23 20:58:32 2016 memory use: 1878.1 MB
  182. Tue Aug 23 20:58:32 2016 distribution of cycle lengths:
  183. Tue Aug 23 20:58:32 2016 1 relations: 213846
  184. Tue Aug 23 20:58:32 2016 2 relations: 374490
  185. Tue Aug 23 20:58:32 2016 3 relations: 488904
  186. Tue Aug 23 20:58:32 2016 4 relations: 541582
  187. Tue Aug 23 20:58:32 2016 5 relations: 590057
  188. Tue Aug 23 20:58:32 2016 6 relations: 608171
  189. Tue Aug 23 20:58:32 2016 7 relations: 613703
  190. Tue Aug 23 20:58:32 2016 8 relations: 595722
  191. Tue Aug 23 20:58:32 2016 9 relations: 565982
  192. Tue Aug 23 20:58:32 2016 10+ relations: 3286018
  193. Tue Aug 23 20:58:32 2016 heaviest cycle: 28 relations
  194. Tue Aug 23 20:58:47 2016 RelProcTime: 6224
  195. Tue Aug 23 20:58:47 2016
  196. Tue Aug 23 20:58:47 2016 commencing linear algebra
  197. Tue Aug 23 20:58:48 2016 read 7878475 cycles
  198. Tue Aug 23 20:59:06 2016 cycles contain 26113495 unique relations
  199. Tue Aug 23 21:03:42 2016 read 26113495 relations
  200. Tue Aug 23 21:04:34 2016 using 20 quadratic characters above 4294917295
  201. Tue Aug 23 21:06:08 2016 building initial matrix
  202. Tue Aug 23 21:11:09 2016 memory use: 3321.2 MB
  203. Tue Aug 23 21:11:17 2016 read 7878475 cycles
  204. Tue Aug 23 21:11:17 2016 matrix is 7878297 x 7878475 (3915.1 MB) with weight 1119709714 (142.12/col)
  205. Tue Aug 23 21:11:17 2016 sparse part has weight 939664478 (119.27/col)
  206. Tue Aug 23 21:13:00 2016 filtering completed in 2 passes
  207. Tue Aug 23 21:13:01 2016 matrix is 7878100 x 7878278 (3915.1 MB) with weight 1119702539 (142.13/col)
  208. Tue Aug 23 21:13:01 2016 sparse part has weight 939661876 (119.27/col)
  209. Tue Aug 23 21:13:31 2016 matrix starts at (0, 0)
  210. Tue Aug 23 21:13:31 2016 matrix is 7878100 x 7878278 (3915.1 MB) with weight 1119702539 (142.13/col)
  211. Tue Aug 23 21:13:31 2016 sparse part has weight 939661876 (119.27/col)
  212. Tue Aug 23 21:13:31 2016 saving the first 48 matrix rows for later
  213. Tue Aug 23 21:13:33 2016 matrix includes 64 packed rows
  214. Tue Aug 23 21:13:34 2016 matrix is 7878052 x 7878278 (3748.2 MB) with weight 970305063 (123.16/col)
  215. Tue Aug 23 21:13:34 2016 sparse part has weight 903798139 (114.72/col)
  216. Tue Aug 23 21:13:34 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  217. Tue Aug 23 21:14:24 2016 commencing Lanczos iteration (6 threads)
  218. Tue Aug 23 21:14:24 2016 memory use: 3175.2 MB
  219. Tue Aug 23 21:14:46 2016 linear algebra at 0.0%, ETA 30h18m
  220. Tue Aug 23 21:14:53 2016 checkpointing every 270000 dimensions
  221. Thu Aug 25 02:52:43 2016 lanczos halted after 124592 iterations (dim = 7878049)
  222. Thu Aug 25 02:52:52 2016 recovered 36 nontrivial dependencies
  223. Thu Aug 25 02:52:54 2016 BLanczosTime: 107647
  224. Thu Aug 25 02:52:54 2016
  225. Thu Aug 25 02:52:54 2016 commencing square root phase
  226. Thu Aug 25 02:52:54 2016 handling dependencies 1 to 64
  227. Thu Aug 25 02:52:54 2016 reading relations for dependency 1
  228. Thu Aug 25 02:52:55 2016 read 3936519 cycles
  229. Thu Aug 25 02:53:03 2016 cycles contain 13052446 unique relations
  230. Thu Aug 25 02:56:41 2016 read 13052446 relations
  231. Thu Aug 25 02:57:34 2016 multiplying 13052446 relations
  232. Thu Aug 25 03:06:48 2016 multiply complete, coefficients have about 369.40 million bits
  233. Thu Aug 25 03:06:49 2016 initial square root is modulo 4248121
  234. Thu Aug 25 03:16:44 2016 sqrtTime: 1430
  235. Thu Aug 25 03:16:44 2016 p87 factor: 618936141578880917759702484129299078209020869639738255467856969173485520629138512544817
  236. Thu Aug 25 03:16:44 2016 p127 factor: 5377216910498199580028565488202387809716816368427642795607658562820495774786275429679672313747228566984901224081124509569421173
  237. Thu Aug 25 03:16:44 2016 elapsed time 32:01:43
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