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C206_119_97

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May 9th, 2016
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  1. Sat Apr 30 08:48:18 2016
  2. Sat Apr 30 08:48:18 2016 Msieve v. 1.53 (SVN unknown)
  3. Sat Apr 30 08:48:18 2016 random seeds: 274aba5d 33504508
  4. Sat Apr 30 08:48:18 2016 factoring 20495224477034528626223261485245921403351953190481014328057939786974919799533882754688583225312847133233986745372266626251476382685750232196180204539540221919685412663698590670871523206598929475487343240699 (206 digits)
  5. Sat Apr 30 08:48:19 2016 searching for 15-digit factors
  6. Sat Apr 30 08:48:21 2016 commencing number field sieve (206-digit input)
  7. Sat Apr 30 08:48:21 2016 R0: -1617154011038069297120003283646081
  8. Sat Apr 30 08:48:21 2016 R1: 56061272466674974994842655144706937633
  9. Sat Apr 30 08:48:21 2016 A0: 8587340257
  10. Sat Apr 30 08:48:21 2016 A1: 0
  11. Sat Apr 30 08:48:21 2016 A2: 0
  12. Sat Apr 30 08:48:21 2016 A3: 0
  13. Sat Apr 30 08:48:21 2016 A4: 0
  14. Sat Apr 30 08:48:21 2016 A5: 0
  15. Sat Apr 30 08:48:21 2016 A6: 119
  16. Sat Apr 30 08:48:21 2016 skew 1.00, size 1.091e-12, alpha -1.025, combined = 1.004e-13 rroots = 0
  17. Sat Apr 30 08:48:21 2016
  18. Sat Apr 30 08:48:21 2016 commencing relation filtering
  19. Sat Apr 30 08:48:21 2016 setting target matrix density to 110.0
  20. Sat Apr 30 08:48:21 2016 estimated available RAM is 16031.0 MB
  21. Sat Apr 30 08:48:21 2016 commencing duplicate removal, pass 1
  22. Sat Apr 30 08:56:59 2016 error -5 reading relation 70923604
  23. Sat Apr 30 08:59:59 2016 error -15 reading relation 95037618
  24. Sat Apr 30 09:00:56 2016 error -15 reading relation 102672563
  25. Sat Apr 30 09:01:45 2016 error -1 reading relation 109513116
  26. Sat Apr 30 09:01:46 2016 error -15 reading relation 109520217
  27. Sat Apr 30 09:03:15 2016 error -15 reading relation 121772732
  28. Sat Apr 30 09:05:06 2016 error -5 reading relation 136341634
  29. Sat Apr 30 09:05:06 2016 error -1 reading relation 136352810
  30. Sat Apr 30 09:05:46 2016 error -9 reading relation 141495172
  31. Sat Apr 30 09:08:21 2016 error -1 reading relation 163044178
  32. Sat Apr 30 09:08:24 2016 error -15 reading relation 163455651
  33. Sat Apr 30 09:08:24 2016 error -15 reading relation 163481042
  34. Sat Apr 30 09:08:28 2016 error -9 reading relation 163985882
  35. Sat Apr 30 09:08:35 2016 error -9 reading relation 164777032
  36. Sat Apr 30 09:09:05 2016 error -9 reading relation 168459250
  37. Sat Apr 30 09:09:14 2016 error -9 reading relation 169493328
  38. Sat Apr 30 09:09:36 2016 error -9 reading relation 172420560
  39. Sat Apr 30 09:09:36 2016 error -1 reading relation 172420949
  40. Sat Apr 30 09:09:36 2016 error -1 reading relation 172434801
  41. Sat Apr 30 09:09:36 2016 error -15 reading relation 172463088
  42. Sat Apr 30 09:09:37 2016 error -1 reading relation 172471765
  43. Sat Apr 30 09:09:37 2016 error -9 reading relation 172472681
  44. Sat Apr 30 09:10:26 2016 error -9 reading relation 179121209
  45. Sat Apr 30 09:10:26 2016 error -15 reading relation 179122329
  46. Sat Apr 30 09:10:45 2016 error -9 reading relation 181618686
  47. Sat Apr 30 09:10:55 2016 error -11 reading relation 182951990
  48. Sat Apr 30 09:12:09 2016 error -9 reading relation 192523776
  49. Sat Apr 30 09:12:09 2016 error -9 reading relation 192532965
  50. Sat Apr 30 09:13:10 2016 error -5 reading relation 200859013
  51. Sat Apr 30 09:13:11 2016 error -1 reading relation 200924511
  52. Sat Apr 30 09:14:12 2016 error -9 reading relation 208745375
  53. Sat Apr 30 09:14:17 2016 error -15 reading relation 209504804
  54. Sat Apr 30 09:14:34 2016 error -9 reading relation 211544258
  55. Sat Apr 30 09:14:40 2016 error -15 reading relation 212176065
  56. Sat Apr 30 09:14:50 2016 error -9 reading relation 213469712
  57. Sat Apr 30 09:15:00 2016 error -9 reading relation 214703331
  58. Sat Apr 30 09:15:36 2016 error -9 reading relation 219365267
  59. Sat Apr 30 09:15:56 2016 error -15 reading relation 221790555
  60. Sat Apr 30 09:16:07 2016 error -9 reading relation 223208774
  61. Sat Apr 30 09:16:27 2016 skipped 1 relations with b > 2^32
  62. Sat Apr 30 09:16:27 2016 skipped 40 relations with composite factors
  63. Sat Apr 30 09:16:27 2016 found 51414627 hash collisions in 224864232 relations
  64. Sat Apr 30 09:16:37 2016 commencing duplicate removal, pass 2
  65. Sat Apr 30 09:20:28 2016 found 54770896 duplicates and 170093336 unique relations
  66. Sat Apr 30 09:20:28 2016 memory use: 1321.5 MB
  67. Sat Apr 30 09:20:28 2016 reading ideals above 144637952
  68. Sat Apr 30 09:20:28 2016 commencing singleton removal, initial pass
  69. Sat Apr 30 09:37:47 2016 memory use: 3012.0 MB
  70. Sat Apr 30 09:37:47 2016 reading all ideals from disk
  71. Sat Apr 30 09:38:16 2016 memory use: 3092.5 MB
  72. Sat Apr 30 09:38:22 2016 commencing in-memory singleton removal
  73. Sat Apr 30 09:38:27 2016 begin with 170093336 relations and 152036238 unique ideals
  74. Sat Apr 30 09:39:23 2016 reduce to 94623016 relations and 66958828 ideals in 16 passes
  75. Sat Apr 30 09:39:23 2016 max relations containing the same ideal: 31
  76. Sat Apr 30 09:39:27 2016 reading ideals above 720000
  77. Sat Apr 30 09:39:27 2016 commencing singleton removal, initial pass
  78. Sat Apr 30 09:51:38 2016 memory use: 2756.0 MB
  79. Sat Apr 30 09:51:38 2016 reading all ideals from disk
  80. Sat Apr 30 09:52:21 2016 memory use: 3716.9 MB
  81. Sat Apr 30 09:52:31 2016 keeping 82786293 ideals with weight <= 200, target excess is 487660
  82. Sat Apr 30 09:52:40 2016 commencing in-memory singleton removal
  83. Sat Apr 30 09:52:48 2016 begin with 94623017 relations and 82786293 unique ideals
  84. Sat Apr 30 09:53:45 2016 reduce to 94611490 relations and 82774757 ideals in 8 passes
  85. Sat Apr 30 09:53:45 2016 max relations containing the same ideal: 200
  86. Sat Apr 30 09:54:22 2016 removing 11761702 relations and 9761702 ideals in 2000000 cliques
  87. Sat Apr 30 09:54:25 2016 commencing in-memory singleton removal
  88. Sat Apr 30 09:54:31 2016 begin with 82849788 relations and 82774757 unique ideals
  89. Sat Apr 30 09:55:20 2016 reduce to 81854317 relations and 71990814 ideals in 9 passes
  90. Sat Apr 30 09:55:20 2016 max relations containing the same ideal: 193
  91. Sat Apr 30 09:55:53 2016 removing 8782141 relations and 6782141 ideals in 2000000 cliques
  92. Sat Apr 30 09:55:55 2016 commencing in-memory singleton removal
  93. Sat Apr 30 09:56:01 2016 begin with 73072176 relations and 71990814 unique ideals
  94. Sat Apr 30 09:56:40 2016 reduce to 72416595 relations and 64537211 ideals in 8 passes
  95. Sat Apr 30 09:56:40 2016 max relations containing the same ideal: 176
  96. Sat Apr 30 09:57:08 2016 removing 7853927 relations and 5853927 ideals in 2000000 cliques
  97. Sat Apr 30 09:57:10 2016 commencing in-memory singleton removal
  98. Sat Apr 30 09:57:14 2016 begin with 64562668 relations and 64537211 unique ideals
  99. Sat Apr 30 09:57:46 2016 reduce to 63972310 relations and 58078009 ideals in 8 passes
  100. Sat Apr 30 09:57:46 2016 max relations containing the same ideal: 164
  101. Sat Apr 30 09:58:11 2016 removing 7377106 relations and 5377106 ideals in 2000000 cliques
  102. Sat Apr 30 09:58:13 2016 commencing in-memory singleton removal
  103. Sat Apr 30 09:58:17 2016 begin with 56595204 relations and 58078009 unique ideals
  104. Sat Apr 30 09:58:44 2016 reduce to 56007481 relations and 52096768 ideals in 8 passes
  105. Sat Apr 30 09:58:44 2016 max relations containing the same ideal: 152
  106. Sat Apr 30 09:59:05 2016 removing 7099694 relations and 5099694 ideals in 2000000 cliques
  107. Sat Apr 30 09:59:07 2016 commencing in-memory singleton removal
  108. Sat Apr 30 09:59:10 2016 begin with 48907787 relations and 52096768 unique ideals
  109. Sat Apr 30 09:59:36 2016 reduce to 48274520 relations and 46343934 ideals in 9 passes
  110. Sat Apr 30 09:59:36 2016 max relations containing the same ideal: 139
  111. Sat Apr 30 09:59:55 2016 removing 5119269 relations and 3754369 ideals in 1364900 cliques
  112. Sat Apr 30 09:59:56 2016 commencing in-memory singleton removal
  113. Sat Apr 30 09:59:59 2016 begin with 43155251 relations and 46343934 unique ideals
  114. Sat Apr 30 10:00:17 2016 reduce to 42766833 relations and 42191390 ideals in 7 passes
  115. Sat Apr 30 10:00:17 2016 max relations containing the same ideal: 126
  116. Sat Apr 30 10:00:34 2016 removing 75854 relations and 66097 ideals in 9757 cliques
  117. Sat Apr 30 10:00:34 2016 commencing in-memory singleton removal
  118. Sat Apr 30 10:00:37 2016 begin with 42690979 relations and 42191390 unique ideals
  119. Sat Apr 30 10:00:47 2016 reduce to 42690916 relations and 42125230 ideals in 4 passes
  120. Sat Apr 30 10:00:47 2016 max relations containing the same ideal: 126
  121. Sat Apr 30 10:00:54 2016 relations with 0 large ideals: 17481
  122. Sat Apr 30 10:00:54 2016 relations with 1 large ideals: 8131
  123. Sat Apr 30 10:00:54 2016 relations with 2 large ideals: 83626
  124. Sat Apr 30 10:00:54 2016 relations with 3 large ideals: 621456
  125. Sat Apr 30 10:00:54 2016 relations with 4 large ideals: 2544603
  126. Sat Apr 30 10:00:54 2016 relations with 5 large ideals: 6379857
  127. Sat Apr 30 10:00:54 2016 relations with 6 large ideals: 10252328
  128. Sat Apr 30 10:00:54 2016 relations with 7+ large ideals: 22783434
  129. Sat Apr 30 10:00:54 2016 commencing 2-way merge
  130. Sat Apr 30 10:01:14 2016 reduce to 28693748 relation sets and 28128062 unique ideals
  131. Sat Apr 30 10:01:14 2016 commencing full merge
  132. Sat Apr 30 10:09:16 2016 memory use: 3513.8 MB
  133. Sat Apr 30 10:09:18 2016 found 13007453 cycles, need 12984262
  134. Sat Apr 30 10:09:22 2016 weight of 12984262 cycles is about 1428426666 (110.01/cycle)
  135. Sat Apr 30 10:09:22 2016 distribution of cycle lengths:
  136. Sat Apr 30 10:09:22 2016 1 relations: 564713
  137. Sat Apr 30 10:09:22 2016 2 relations: 873659
  138. Sat Apr 30 10:09:22 2016 3 relations: 1032995
  139. Sat Apr 30 10:09:22 2016 4 relations: 1062599
  140. Sat Apr 30 10:09:22 2016 5 relations: 1067521
  141. Sat Apr 30 10:09:22 2016 6 relations: 1037291
  142. Sat Apr 30 10:09:22 2016 7 relations: 984898
  143. Sat Apr 30 10:09:22 2016 8 relations: 921926
  144. Sat Apr 30 10:09:22 2016 9 relations: 844436
  145. Sat Apr 30 10:09:22 2016 10+ relations: 4594224
  146. Sat Apr 30 10:09:22 2016 heaviest cycle: 28 relations
  147. Sat Apr 30 10:09:24 2016 commencing cycle optimization
  148. Sat Apr 30 10:09:44 2016 start with 107696414 relations
  149. Sat Apr 30 10:12:49 2016 pruned 4412539 relations
  150. Sat Apr 30 10:12:49 2016 memory use: 2896.7 MB
  151. Sat Apr 30 10:12:49 2016 distribution of cycle lengths:
  152. Sat Apr 30 10:12:49 2016 1 relations: 564713
  153. Sat Apr 30 10:12:49 2016 2 relations: 894863
  154. Sat Apr 30 10:12:49 2016 3 relations: 1076924
  155. Sat Apr 30 10:12:49 2016 4 relations: 1104379
  156. Sat Apr 30 10:12:49 2016 5 relations: 1117987
  157. Sat Apr 30 10:12:49 2016 6 relations: 1080705
  158. Sat Apr 30 10:12:49 2016 7 relations: 1027633
  159. Sat Apr 30 10:12:49 2016 8 relations: 954351
  160. Sat Apr 30 10:12:49 2016 9 relations: 870250
  161. Sat Apr 30 10:12:49 2016 10+ relations: 4292457
  162. Sat Apr 30 10:12:49 2016 heaviest cycle: 28 relations
  163. Sat Apr 30 10:13:09 2016 RelProcTime: 5088
  164. Sat Apr 30 10:13:09 2016
  165. Sat Apr 30 10:13:09 2016 commencing linear algebra
  166. Sat Apr 30 10:13:14 2016 read 12984262 cycles
  167. Sat Apr 30 10:13:38 2016 cycles contain 42360583 unique relations
  168. Sat Apr 30 10:18:35 2016 read 42360583 relations
  169. Sat Apr 30 10:19:32 2016 using 20 quadratic characters above 4294917295
  170. Sat Apr 30 10:22:04 2016 building initial matrix
  171. Sat Apr 30 10:29:02 2016 memory use: 5660.5 MB
  172. Sat Apr 30 10:29:07 2016 read 12984262 cycles
  173. Sat Apr 30 10:29:09 2016 matrix is 12984085 x 12984262 (5691.2 MB) with weight 1688935474 (130.08/col)
  174. Sat Apr 30 10:29:09 2016 sparse part has weight 1349087020 (103.90/col)
  175. Sat Apr 30 10:31:21 2016 filtering completed in 2 passes
  176. Sat Apr 30 10:31:23 2016 matrix is 12983877 x 12984054 (5691.2 MB) with weight 1688927835 (130.08/col)
  177. Sat Apr 30 10:31:23 2016 sparse part has weight 1349084964 (103.90/col)
  178. Sat Apr 30 10:32:30 2016 matrix starts at (0, 0)
  179. Sat Apr 30 10:32:32 2016 matrix is 12983877 x 12984054 (5691.2 MB) with weight 1688927835 (130.08/col)
  180. Sat Apr 30 10:32:32 2016 sparse part has weight 1349084964 (103.90/col)
  181. Sat Apr 30 10:32:32 2016 saving the first 48 matrix rows for later
  182. Sat Apr 30 10:32:34 2016 matrix includes 64 packed rows
  183. Sat Apr 30 10:32:35 2016 matrix is 12983829 x 12984054 (5479.9 MB) with weight 1427619761 (109.95/col)
  184. Sat Apr 30 10:32:35 2016 sparse part has weight 1306683178 (100.64/col)
  185. Sat Apr 30 10:32:35 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  186. Sat Apr 30 10:33:23 2016 commencing Lanczos iteration (4 threads)
  187. Sat Apr 30 10:33:23 2016 memory use: 4633.3 MB
  188. Sat Apr 30 10:34:18 2016 linear algebra at 0.0%, ETA 123h17m
  189. Sat Apr 30 10:34:36 2016 checkpointing every 110000 dimensions
  190. Thu May 5 11:56:49 2016 lanczos halted after 205334 iterations (dim = 12983826)
  191. Thu May 5 11:57:04 2016 recovered 33 nontrivial dependencies
  192. Thu May 5 11:57:04 2016 BLanczosTime: 438235
  193. Thu May 5 11:57:04 2016
  194. Thu May 5 11:57:04 2016 commencing square root phase
  195. Thu May 5 11:57:04 2016 handling dependencies 1 to 64
  196. Thu May 5 11:57:04 2016 reading relations for dependency 1
  197. Thu May 5 11:57:09 2016 read 6493184 cycles
  198. Thu May 5 11:57:18 2016 cycles contain 21178426 unique relations
  199. Thu May 5 12:01:33 2016 read 21178426 relations
  200. Thu May 5 12:02:45 2016 multiplying 21178426 relations
  201. Thu May 5 12:18:56 2016 multiply complete, coefficients have about 726.43 million bits
  202. Thu May 5 12:18:58 2016 initial square root is modulo 3289777
  203. Thu May 5 12:36:34 2016 GCD is 1, no factor found
  204. Thu May 5 12:36:34 2016 reading relations for dependency 2
  205. Thu May 5 12:36:35 2016 read 6492642 cycles
  206. Thu May 5 12:36:45 2016 cycles contain 21179420 unique relations
  207. Thu May 5 12:40:56 2016 read 21179420 relations
  208. Thu May 5 12:42:11 2016 multiplying 21179420 relations
  209. Thu May 5 12:58:35 2016 multiply complete, coefficients have about 726.46 million bits
  210. Thu May 5 12:58:37 2016 initial square root is modulo 3291817
  211. Thu May 5 13:16:30 2016 GCD is 1, no factor found
  212. Thu May 5 13:16:30 2016 reading relations for dependency 3
  213. Thu May 5 13:16:31 2016 read 6492789 cycles
  214. Thu May 5 13:16:41 2016 cycles contain 21181704 unique relations
  215. Thu May 5 13:20:59 2016 read 21181704 relations
  216. Thu May 5 13:22:27 2016 multiplying 21181704 relations
  217. Thu May 5 13:42:53 2016 multiply complete, coefficients have about 726.54 million bits
  218. Thu May 5 13:42:56 2016 initial square root is modulo 3297571
  219. Thu May 5 14:05:30 2016 GCD is 1, no factor found
  220. Thu May 5 14:05:30 2016 reading relations for dependency 4
  221. Thu May 5 14:05:31 2016 read 6490999 cycles
  222. Thu May 5 14:05:43 2016 cycles contain 21182210 unique relations
  223. Thu May 5 14:10:40 2016 read 21182210 relations
  224. Thu May 5 14:12:18 2016 multiplying 21182210 relations
  225. Thu May 5 14:32:38 2016 multiply complete, coefficients have about 726.56 million bits
  226. Thu May 5 14:32:41 2016 initial square root is modulo 3298597
  227. Thu May 5 14:55:29 2016 sqrtTime: 10705
  228. Thu May 5 14:55:29 2016 p94 factor: 9836668701861275637454993726567465642251826395645889703283480233003044562970288854713515255193
  229. Thu May 5 14:55:29 2016 p112 factor: 2083553395791042698357907656675714185131211097652935788933817677917728612400075499450486674890298888641251441843
  230. Thu May 5 14:55:29 2016 elapsed time 126:07:11
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