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  1. Tue Jul 26 22:27:07 2016
  2. Tue Jul 26 22:27:07 2016
  3. Tue Jul 26 22:27:07 2016 Msieve v. 1.53 (SVN 988M)
  4. Tue Jul 26 22:27:07 2016 random seeds: 75d6d4a0 4c1576c6
  5. Tue Jul 26 22:27:07 2016 factoring 1986630773308113808609405830947950548834204482811791463366743014012984054461171364557758009042589504888438974945429161962317190375547321651110618490533642037097769282198776481644568799 (184 digits)
  6. Tue Jul 26 22:27:08 2016 searching for 15-digit factors
  7. Tue Jul 26 22:27:09 2016 commencing number field sieve (184-digit input)
  8. Tue Jul 26 22:27:09 2016 R0: 3990838394187339929534246675572349035227
  9. Tue Jul 26 22:27:09 2016 R1: -9671406556917033397649408
  10. Tue Jul 26 22:27:09 2016 A0: 2
  11. Tue Jul 26 22:27:09 2016 A1: 0
  12. Tue Jul 26 22:27:09 2016 A2: 0
  13. Tue Jul 26 22:27:09 2016 A3: 0
  14. Tue Jul 26 22:27:09 2016 A4: 0
  15. Tue Jul 26 22:27:09 2016 A5: 0
  16. Tue Jul 26 22:27:09 2016 A6: 3
  17. Tue Jul 26 22:27:09 2016 skew 0.94, size 9.546e-12, alpha 1.523, combined = 6.180e-13 rroots = 0
  18. Tue Jul 26 22:27:09 2016
  19. Tue Jul 26 22:27:09 2016 commencing relation filtering
  20. Tue Jul 26 22:27:09 2016 setting target matrix density to 130.0
  21. Tue Jul 26 22:27:09 2016 estimated available RAM is 65536.0 MB
  22. Tue Jul 26 22:27:09 2016 commencing duplicate removal, pass 1
  23. Tue Jul 26 22:56:17 2016 error -15 reading relation 241812800
  24. Tue Jul 26 22:56:17 2016 error -5 reading relation 241819233
  25. Tue Jul 26 22:58:18 2016 skipped 67 relations with b > 2^32
  26. Tue Jul 26 22:58:18 2016 skipped 2 relations with composite factors
  27. Tue Jul 26 22:58:18 2016 found 47491053 hash collisions in 258639192 relations
  28. Tue Jul 26 22:58:32 2016 added 1219369 free relations
  29. Tue Jul 26 22:58:32 2016 commencing duplicate removal, pass 2
  30. Tue Jul 26 23:02:23 2016 found 44191539 duplicates and 215667022 unique relations
  31. Tue Jul 26 23:02:23 2016 memory use: 1321.5 MB
  32. Tue Jul 26 23:02:23 2016 reading ideals above 720000
  33. Tue Jul 26 23:02:24 2016 commencing singleton removal, initial pass
  34. Tue Jul 26 23:28:24 2016 memory use: 5512.0 MB
  35. Tue Jul 26 23:28:24 2016 reading all ideals from disk
  36. Tue Jul 26 23:28:29 2016 memory use: 8358.5 MB
  37. Tue Jul 26 23:28:51 2016 keeping 178394136 ideals with weight <= 200, target excess is 1083982
  38. Tue Jul 26 23:29:16 2016 commencing in-memory singleton removal
  39. Tue Jul 26 23:29:32 2016 begin with 215667022 relations and 178394136 unique ideals
  40. Tue Jul 26 23:32:14 2016 reduce to 154124758 relations and 111572439 ideals in 12 passes
  41. Tue Jul 26 23:32:14 2016 max relations containing the same ideal: 171
  42. Tue Jul 26 23:33:13 2016 removing 9460895 relations and 7460895 ideals in 2000000 cliques
  43. Tue Jul 26 23:33:17 2016 commencing in-memory singleton removal
  44. Tue Jul 26 23:33:27 2016 begin with 144663863 relations and 111572439 unique ideals
  45. Tue Jul 26 23:34:50 2016 reduce to 144223273 relations and 103663515 ideals in 7 passes
  46. Tue Jul 26 23:34:50 2016 max relations containing the same ideal: 165
  47. Tue Jul 26 23:35:45 2016 removing 7240319 relations and 5240319 ideals in 2000000 cliques
  48. Tue Jul 26 23:35:49 2016 commencing in-memory singleton removal
  49. Tue Jul 26 23:35:59 2016 begin with 136982954 relations and 103663515 unique ideals
  50. Tue Jul 26 23:37:17 2016 reduce to 136686938 relations and 98122819 ideals in 7 passes
  51. Tue Jul 26 23:37:17 2016 max relations containing the same ideal: 160
  52. Tue Jul 26 23:38:09 2016 removing 6612226 relations and 4612226 ideals in 2000000 cliques
  53. Tue Jul 26 23:38:12 2016 commencing in-memory singleton removal
  54. Tue Jul 26 23:38:22 2016 begin with 130074712 relations and 98122819 unique ideals
  55. Tue Jul 26 23:39:25 2016 reduce to 129819560 relations and 93251781 ideals in 6 passes
  56. Tue Jul 26 23:39:25 2016 max relations containing the same ideal: 153
  57. Tue Jul 26 23:40:15 2016 removing 6282346 relations and 4282346 ideals in 2000000 cliques
  58. Tue Jul 26 23:40:18 2016 commencing in-memory singleton removal
  59. Tue Jul 26 23:40:27 2016 begin with 123537214 relations and 93251781 unique ideals
  60. Tue Jul 26 23:41:26 2016 reduce to 123304817 relations and 88733644 ideals in 6 passes
  61. Tue Jul 26 23:41:26 2016 max relations containing the same ideal: 151
  62. Tue Jul 26 23:42:14 2016 removing 6073002 relations and 4073002 ideals in 2000000 cliques
  63. Tue Jul 26 23:42:17 2016 commencing in-memory singleton removal
  64. Tue Jul 26 23:42:25 2016 begin with 117231815 relations and 88733644 unique ideals
  65. Tue Jul 26 23:43:22 2016 reduce to 117011614 relations and 84437137 ideals in 6 passes
  66. Tue Jul 26 23:43:22 2016 max relations containing the same ideal: 144
  67. Tue Jul 26 23:44:06 2016 removing 5921804 relations and 3921804 ideals in 2000000 cliques
  68. Tue Jul 26 23:44:09 2016 commencing in-memory singleton removal
  69. Tue Jul 26 23:44:17 2016 begin with 111089810 relations and 84437137 unique ideals
  70. Tue Jul 26 23:45:10 2016 reduce to 110876672 relations and 80298775 ideals in 6 passes
  71. Tue Jul 26 23:45:10 2016 max relations containing the same ideal: 141
  72. Tue Jul 26 23:45:53 2016 removing 5813354 relations and 3813354 ideals in 2000000 cliques
  73. Tue Jul 26 23:45:55 2016 commencing in-memory singleton removal
  74. Tue Jul 26 23:46:03 2016 begin with 105063318 relations and 80298775 unique ideals
  75. Tue Jul 26 23:46:53 2016 reduce to 104853579 relations and 76272097 ideals in 6 passes
  76. Tue Jul 26 23:46:53 2016 max relations containing the same ideal: 137
  77. Tue Jul 26 23:47:33 2016 removing 5723378 relations and 3723378 ideals in 2000000 cliques
  78. Tue Jul 26 23:47:35 2016 commencing in-memory singleton removal
  79. Tue Jul 26 23:47:43 2016 begin with 99130201 relations and 76272097 unique ideals
  80. Tue Jul 26 23:48:29 2016 reduce to 98920315 relations and 72335049 ideals in 6 passes
  81. Tue Jul 26 23:48:29 2016 max relations containing the same ideal: 130
  82. Tue Jul 26 23:49:08 2016 removing 5654551 relations and 3654551 ideals in 2000000 cliques
  83. Tue Jul 26 23:49:10 2016 commencing in-memory singleton removal
  84. Tue Jul 26 23:49:17 2016 begin with 93265764 relations and 72335049 unique ideals
  85. Tue Jul 26 23:50:00 2016 reduce to 93054057 relations and 68464697 ideals in 6 passes
  86. Tue Jul 26 23:50:00 2016 max relations containing the same ideal: 125
  87. Tue Jul 26 23:50:36 2016 removing 5601443 relations and 3601443 ideals in 2000000 cliques
  88. Tue Jul 26 23:50:39 2016 commencing in-memory singleton removal
  89. Tue Jul 26 23:50:45 2016 begin with 87452614 relations and 68464697 unique ideals
  90. Tue Jul 26 23:51:26 2016 reduce to 87236176 relations and 64642550 ideals in 6 passes
  91. Tue Jul 26 23:51:26 2016 max relations containing the same ideal: 122
  92. Tue Jul 26 23:51:59 2016 removing 5556171 relations and 3556171 ideals in 2000000 cliques
  93. Tue Jul 26 23:52:01 2016 commencing in-memory singleton removal
  94. Tue Jul 26 23:52:07 2016 begin with 81680005 relations and 64642550 unique ideals
  95. Tue Jul 26 23:52:45 2016 reduce to 81458949 relations and 60860746 ideals in 6 passes
  96. Tue Jul 26 23:52:45 2016 max relations containing the same ideal: 116
  97. Tue Jul 26 23:53:16 2016 removing 5523255 relations and 3523255 ideals in 2000000 cliques
  98. Tue Jul 26 23:53:18 2016 commencing in-memory singleton removal
  99. Tue Jul 26 23:53:23 2016 begin with 75935694 relations and 60860746 unique ideals
  100. Tue Jul 26 23:53:58 2016 reduce to 75705252 relations and 57101917 ideals in 6 passes
  101. Tue Jul 26 23:53:58 2016 max relations containing the same ideal: 109
  102. Tue Jul 26 23:54:27 2016 removing 5495991 relations and 3495991 ideals in 2000000 cliques
  103. Tue Jul 26 23:54:30 2016 commencing in-memory singleton removal
  104. Tue Jul 26 23:54:34 2016 begin with 70209261 relations and 57101917 unique ideals
  105. Tue Jul 26 23:55:07 2016 reduce to 69969672 relations and 53360689 ideals in 6 passes
  106. Tue Jul 26 23:55:07 2016 max relations containing the same ideal: 102
  107. Tue Jul 26 23:55:34 2016 removing 5481242 relations and 3481242 ideals in 2000000 cliques
  108. Tue Jul 26 23:55:36 2016 commencing in-memory singleton removal
  109. Tue Jul 26 23:55:40 2016 begin with 64488430 relations and 53360689 unique ideals
  110. Tue Jul 26 23:56:09 2016 reduce to 64235066 relations and 49619703 ideals in 6 passes
  111. Tue Jul 26 23:56:09 2016 max relations containing the same ideal: 95
  112. Tue Jul 26 23:56:34 2016 removing 5469767 relations and 3469767 ideals in 2000000 cliques
  113. Tue Jul 26 23:56:36 2016 commencing in-memory singleton removal
  114. Tue Jul 26 23:56:40 2016 begin with 58765299 relations and 49619703 unique ideals
  115. Tue Jul 26 23:57:06 2016 reduce to 58494574 relations and 45871832 ideals in 6 passes
  116. Tue Jul 26 23:57:06 2016 max relations containing the same ideal: 90
  117. Tue Jul 26 23:57:29 2016 removing 5464789 relations and 3464789 ideals in 2000000 cliques
  118. Tue Jul 26 23:57:31 2016 commencing in-memory singleton removal
  119. Tue Jul 26 23:57:34 2016 begin with 53029785 relations and 45871832 unique ideals
  120. Tue Jul 26 23:58:02 2016 reduce to 52736523 relations and 42105091 ideals in 7 passes
  121. Tue Jul 26 23:58:02 2016 max relations containing the same ideal: 82
  122. Tue Jul 26 23:58:22 2016 removing 5469912 relations and 3469912 ideals in 2000000 cliques
  123. Tue Jul 26 23:58:24 2016 commencing in-memory singleton removal
  124. Tue Jul 26 23:58:27 2016 begin with 47266611 relations and 42105091 unique ideals
  125. Tue Jul 26 23:58:51 2016 reduce to 46945703 relations and 38303830 ideals in 7 passes
  126. Tue Jul 26 23:58:51 2016 max relations containing the same ideal: 76
  127. Tue Jul 26 23:59:09 2016 removing 5478420 relations and 3478420 ideals in 2000000 cliques
  128. Tue Jul 26 23:59:11 2016 commencing in-memory singleton removal
  129. Tue Jul 26 23:59:13 2016 begin with 41467283 relations and 38303830 unique ideals
  130. Tue Jul 26 23:59:34 2016 reduce to 41109140 relations and 34454704 ideals in 7 passes
  131. Tue Jul 26 23:59:34 2016 max relations containing the same ideal: 71
  132. Tue Jul 26 23:59:50 2016 removing 5497075 relations and 3497075 ideals in 2000000 cliques
  133. Tue Jul 26 23:59:52 2016 commencing in-memory singleton removal
  134. Tue Jul 26 23:59:54 2016 begin with 35612065 relations and 34454704 unique ideals
  135. Wed Jul 27 00:00:12 2016 reduce to 35197248 relations and 30525960 ideals in 7 passes
  136. Wed Jul 27 00:00:12 2016 max relations containing the same ideal: 63
  137. Wed Jul 27 00:00:25 2016 removing 5532348 relations and 3532348 ideals in 2000000 cliques
  138. Wed Jul 27 00:00:27 2016 commencing in-memory singleton removal
  139. Wed Jul 27 00:00:29 2016 begin with 29664900 relations and 30525960 unique ideals
  140. Wed Jul 27 00:00:43 2016 reduce to 29156978 relations and 26461496 ideals in 7 passes
  141. Wed Jul 27 00:00:43 2016 max relations containing the same ideal: 57
  142. Wed Jul 27 00:00:54 2016 removing 4224162 relations and 2786100 ideals in 1438062 cliques
  143. Wed Jul 27 00:00:55 2016 commencing in-memory singleton removal
  144. Wed Jul 27 00:00:57 2016 begin with 24932816 relations and 26461496 unique ideals
  145. Wed Jul 27 00:01:09 2016 reduce to 24514378 relations and 23238737 ideals in 7 passes
  146. Wed Jul 27 00:01:09 2016 max relations containing the same ideal: 50
  147. Wed Jul 27 00:01:18 2016 removing 104819 relations and 86598 ideals in 18221 cliques
  148. Wed Jul 27 00:01:19 2016 commencing in-memory singleton removal
  149. Wed Jul 27 00:01:20 2016 begin with 24409559 relations and 23238737 unique ideals
  150. Wed Jul 27 00:01:27 2016 reduce to 24409134 relations and 23151714 ideals in 4 passes
  151. Wed Jul 27 00:01:27 2016 max relations containing the same ideal: 50
  152. Wed Jul 27 00:01:30 2016 relations with 0 large ideals: 41104
  153. Wed Jul 27 00:01:30 2016 relations with 1 large ideals: 43201
  154. Wed Jul 27 00:01:30 2016 relations with 2 large ideals: 463873
  155. Wed Jul 27 00:01:30 2016 relations with 3 large ideals: 2105565
  156. Wed Jul 27 00:01:30 2016 relations with 4 large ideals: 4946473
  157. Wed Jul 27 00:01:30 2016 relations with 5 large ideals: 6738582
  158. Wed Jul 27 00:01:30 2016 relations with 6 large ideals: 5611300
  159. Wed Jul 27 00:01:30 2016 relations with 7+ large ideals: 4459036
  160. Wed Jul 27 00:01:30 2016 commencing 2-way merge
  161. Wed Jul 27 00:01:43 2016 reduce to 16648709 relation sets and 15391289 unique ideals
  162. Wed Jul 27 00:01:43 2016 commencing full merge
  163. Wed Jul 27 00:07:27 2016 memory use: 1939.6 MB
  164. Wed Jul 27 00:07:30 2016 found 7243834 cycles, need 7185489
  165. Wed Jul 27 00:07:30 2016 weight of 7185489 cycles is about 934843741 (130.10/cycle)
  166. Wed Jul 27 00:07:30 2016 distribution of cycle lengths:
  167. Wed Jul 27 00:07:30 2016 1 relations: 182682
  168. Wed Jul 27 00:07:30 2016 2 relations: 314302
  169. Wed Jul 27 00:07:30 2016 3 relations: 409602
  170. Wed Jul 27 00:07:30 2016 4 relations: 457362
  171. Wed Jul 27 00:07:30 2016 5 relations: 496671
  172. Wed Jul 27 00:07:30 2016 6 relations: 512724
  173. Wed Jul 27 00:07:30 2016 7 relations: 518620
  174. Wed Jul 27 00:07:30 2016 8 relations: 506705
  175. Wed Jul 27 00:07:30 2016 9 relations: 487186
  176. Wed Jul 27 00:07:30 2016 10+ relations: 3299635
  177. Wed Jul 27 00:07:30 2016 heaviest cycle: 28 relations
  178. Wed Jul 27 00:07:32 2016 commencing cycle optimization
  179. Wed Jul 27 00:07:48 2016 start with 70043652 relations
  180. Wed Jul 27 00:10:51 2016 pruned 3988098 relations
  181. Wed Jul 27 00:10:52 2016 memory use: 1724.2 MB
  182. Wed Jul 27 00:10:52 2016 distribution of cycle lengths:
  183. Wed Jul 27 00:10:52 2016 1 relations: 182682
  184. Wed Jul 27 00:10:52 2016 2 relations: 323160
  185. Wed Jul 27 00:10:52 2016 3 relations: 429152
  186. Wed Jul 27 00:10:52 2016 4 relations: 481368
  187. Wed Jul 27 00:10:52 2016 5 relations: 527814
  188. Wed Jul 27 00:10:52 2016 6 relations: 546637
  189. Wed Jul 27 00:10:52 2016 7 relations: 556730
  190. Wed Jul 27 00:10:52 2016 8 relations: 542642
  191. Wed Jul 27 00:10:52 2016 9 relations: 520586
  192. Wed Jul 27 00:10:52 2016 10+ relations: 3074718
  193. Wed Jul 27 00:10:52 2016 heaviest cycle: 28 relations
  194. Wed Jul 27 00:11:05 2016 RelProcTime: 6236
  195. Wed Jul 27 00:11:05 2016
  196. Wed Jul 27 00:11:05 2016 commencing linear algebra
  197. Wed Jul 27 00:11:07 2016 read 7185489 cycles
  198. Wed Jul 27 00:11:22 2016 cycles contain 23842079 unique relations
  199. Wed Jul 27 00:15:44 2016 read 23842079 relations
  200. Wed Jul 27 00:16:32 2016 using 20 quadratic characters above 4294917295
  201. Wed Jul 27 00:17:57 2016 building initial matrix
  202. Wed Jul 27 00:22:30 2016 memory use: 3059.8 MB
  203. Wed Jul 27 00:22:37 2016 read 7185489 cycles
  204. Wed Jul 27 00:22:38 2016 matrix is 7185312 x 7185489 (3594.6 MB) with weight 1026887163 (142.91/col)
  205. Wed Jul 27 00:22:38 2016 sparse part has weight 863263311 (120.14/col)
  206. Wed Jul 27 00:24:12 2016 filtering completed in 2 passes
  207. Wed Jul 27 00:24:13 2016 matrix is 7185120 x 7185297 (3594.6 MB) with weight 1026879323 (142.91/col)
  208. Wed Jul 27 00:24:13 2016 sparse part has weight 863259786 (120.14/col)
  209. Wed Jul 27 00:24:40 2016 matrix starts at (0, 0)
  210. Wed Jul 27 00:24:40 2016 matrix is 7185120 x 7185297 (3594.6 MB) with weight 1026879323 (142.91/col)
  211. Wed Jul 27 00:24:40 2016 sparse part has weight 863259786 (120.14/col)
  212. Wed Jul 27 00:24:40 2016 saving the first 48 matrix rows for later
  213. Wed Jul 27 00:24:42 2016 matrix includes 64 packed rows
  214. Wed Jul 27 00:24:42 2016 matrix is 7185072 x 7185297 (3434.0 MB) with weight 887233844 (123.48/col)
  215. Wed Jul 27 00:24:42 2016 sparse part has weight 828338392 (115.28/col)
  216. Wed Jul 27 00:24:42 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  217. Wed Jul 27 00:25:26 2016 commencing Lanczos iteration (6 threads)
  218. Wed Jul 27 00:25:26 2016 memory use: 2913.6 MB
  219. Wed Jul 27 00:25:46 2016 linear algebra at 0.0%, ETA 24h59m
  220. Wed Jul 27 00:25:52 2016 checkpointing every 300000 dimensions
  221. Thu Jul 28 00:48:58 2016 lanczos halted after 113623 iterations (dim = 7185069)
  222. Thu Jul 28 00:49:06 2016 recovered 36 nontrivial dependencies
  223. Thu Jul 28 00:49:08 2016 BLanczosTime: 88683
  224. Thu Jul 28 00:49:08 2016
  225. Thu Jul 28 00:49:08 2016 commencing square root phase
  226. Thu Jul 28 00:49:08 2016 handling dependencies 1 to 64
  227. Thu Jul 28 00:49:08 2016 reading relations for dependency 1
  228. Thu Jul 28 00:49:09 2016 read 3594295 cycles
  229. Thu Jul 28 00:49:16 2016 cycles contain 11924696 unique relations
  230. Thu Jul 28 00:52:46 2016 read 11924696 relations
  231. Thu Jul 28 00:53:33 2016 multiplying 11924696 relations
  232. Thu Jul 28 01:01:25 2016 multiply complete, coefficients have about 313.58 million bits
  233. Thu Jul 28 01:01:26 2016 initial square root is modulo 423403
  234. Thu Jul 28 01:09:31 2016 sqrtTime: 1223
  235. Thu Jul 28 01:09:31 2016 p74 factor: 14800715309408264590337748986356196586198149310299998089681384834830146489
  236. Thu Jul 28 01:09:31 2016 p111 factor: 134225321667074189829350848707774419368069871814575235822766830660384016770272332622777536680424528735570664791
  237. Thu Jul 28 01:09:31 2016 elapsed time 26:42:24
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