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Sep 19th, 2016
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  1. Wed Sep 14 23:54:41 2016 Msieve v. 1.52 (SVN exported)
  2. Wed Sep 14 23:54:41 2016 random seeds: 7126985e cd519a15
  3. Wed Sep 14 23:54:41 2016 factoring 92816898209992574376468604470913227413578927188382121573662385410768037723022108406181511390523164893718509525707281744200874802922509492139451837564423454877645141635228536029771989742672652049580427384987199918103071411534683015003883 (236 digits)
  4. Wed Sep 14 23:54:43 2016 searching for 15-digit factors
  5. Wed Sep 14 23:54:46 2016 commencing number field sieve (236-digit input)
  6. Wed Sep 14 23:54:46 2016 R0: 35917545547686059365808220080151141317043
  7. Wed Sep 14 23:54:46 2016 R1: -19807040628566084398385987584
  8. Wed Sep 14 23:54:46 2016 A0: 8
  9. Wed Sep 14 23:54:46 2016 A1: 0
  10. Wed Sep 14 23:54:46 2016 A2: 0
  11. Wed Sep 14 23:54:46 2016 A3: 0
  12. Wed Sep 14 23:54:46 2016 A4: 0
  13. Wed Sep 14 23:54:46 2016 A5: 0
  14. Wed Sep 14 23:54:46 2016 A6: 9
  15. Wed Sep 14 23:54:46 2016 skew 0.98, size 3.794e-12, alpha 1.337, combined = 3.172e-13 rroots = 0
  16. Wed Sep 14 23:54:46 2016
  17. Wed Sep 14 23:54:46 2016 commencing relation filtering
  18. Wed Sep 14 23:54:46 2016 setting target matrix density to 135.0
  19. Wed Sep 14 23:54:46 2016 estimated available RAM is 64392.0 MB
  20. Wed Sep 14 23:54:46 2016 commencing duplicate removal, pass 1
  21. Thu Sep 15 01:11:40 2016 skipped 93 relations with b > 2^32
  22. Thu Sep 15 01:11:40 2016 found 54235239 hash collisions in 254509624 relations
  23. Thu Sep 15 01:11:59 2016 commencing duplicate removal, pass 2
  24. Thu Sep 15 01:53:23 2016 found 55061560 duplicates and 199448065 unique relations
  25. Thu Sep 15 01:53:23 2016 memory use: 1321.5 MB
  26. Thu Sep 15 01:53:23 2016 reading ideals above 720000
  27. Thu Sep 15 01:53:23 2016 commencing singleton removal, initial pass
  28. Thu Sep 15 03:17:38 2016 memory use: 5512.0 MB
  29. Thu Sep 15 03:17:39 2016 reading all ideals from disk
  30. Thu Sep 15 03:17:48 2016 memory use: 7876.9 MB
  31. Thu Sep 15 03:18:23 2016 keeping 176567919 ideals with weight <= 200, target excess is 1022814
  32. Thu Sep 15 03:19:02 2016 commencing in-memory singleton removal
  33. Thu Sep 15 03:19:28 2016 begin with 199448065 relations and 176567919 unique ideals
  34. Thu Sep 15 03:24:29 2016 reduce to 134000505 relations and 104826711 ideals in 14 passes
  35. Thu Sep 15 03:24:29 2016 max relations containing the same ideal: 163
  36. Thu Sep 15 03:26:02 2016 removing 10441092 relations and 8441092 ideals in 2000000 cliques
  37. Thu Sep 15 03:26:07 2016 commencing in-memory singleton removal
  38. Thu Sep 15 03:26:25 2016 begin with 123559413 relations and 104826711 unique ideals
  39. Thu Sep 15 03:28:34 2016 reduce to 122967333 relations and 95782499 ideals in 7 passes
  40. Thu Sep 15 03:28:34 2016 max relations containing the same ideal: 153
  41. Thu Sep 15 03:29:58 2016 removing 7943038 relations and 5943038 ideals in 2000000 cliques
  42. Thu Sep 15 03:30:03 2016 commencing in-memory singleton removal
  43. Thu Sep 15 03:30:18 2016 begin with 115024295 relations and 95782499 unique ideals
  44. Thu Sep 15 03:32:10 2016 reduce to 114628102 relations and 89436817 ideals in 7 passes
  45. Thu Sep 15 03:32:10 2016 max relations containing the same ideal: 147
  46. Thu Sep 15 03:33:21 2016 removing 7209337 relations and 5209337 ideals in 2000000 cliques
  47. Thu Sep 15 03:33:26 2016 commencing in-memory singleton removal
  48. Thu Sep 15 03:33:40 2016 begin with 107418765 relations and 89436817 unique ideals
  49. Thu Sep 15 03:35:45 2016 reduce to 107073831 relations and 83876895 ideals in 8 passes
  50. Thu Sep 15 03:35:45 2016 max relations containing the same ideal: 140
  51. Thu Sep 15 03:36:57 2016 removing 6829208 relations and 4829208 ideals in 2000000 cliques
  52. Thu Sep 15 03:37:01 2016 commencing in-memory singleton removal
  53. Thu Sep 15 03:37:14 2016 begin with 100244623 relations and 83876895 unique ideals
  54. Thu Sep 15 03:38:44 2016 reduce to 99920724 relations and 78718295 ideals in 7 passes
  55. Thu Sep 15 03:38:44 2016 max relations containing the same ideal: 136
  56. Thu Sep 15 03:39:52 2016 removing 6588428 relations and 4588428 ideals in 2000000 cliques
  57. Thu Sep 15 03:39:56 2016 commencing in-memory singleton removal
  58. Thu Sep 15 03:40:08 2016 begin with 93332296 relations and 78718295 unique ideals
  59. Thu Sep 15 03:41:19 2016 reduce to 93021981 relations and 73813962 ideals in 6 passes
  60. Thu Sep 15 03:41:19 2016 max relations containing the same ideal: 131
  61. Thu Sep 15 03:42:24 2016 removing 6418294 relations and 4418294 ideals in 2000000 cliques
  62. Thu Sep 15 03:42:28 2016 commencing in-memory singleton removal
  63. Thu Sep 15 03:42:40 2016 begin with 86603687 relations and 73813962 unique ideals
  64. Thu Sep 15 03:44:05 2016 reduce to 86296137 relations and 69082279 ideals in 7 passes
  65. Thu Sep 15 03:44:05 2016 max relations containing the same ideal: 122
  66. Thu Sep 15 03:45:06 2016 removing 6297418 relations and 4297418 ideals in 2000000 cliques
  67. Thu Sep 15 03:45:10 2016 commencing in-memory singleton removal
  68. Thu Sep 15 03:45:20 2016 begin with 79998719 relations and 69082279 unique ideals
  69. Thu Sep 15 03:46:25 2016 reduce to 79689990 relations and 64469945 ideals in 6 passes
  70. Thu Sep 15 03:46:25 2016 max relations containing the same ideal: 115
  71. Thu Sep 15 03:47:23 2016 removing 6201982 relations and 4201982 ideals in 2000000 cliques
  72. Thu Sep 15 03:47:26 2016 commencing in-memory singleton removal
  73. Thu Sep 15 03:47:36 2016 begin with 73488008 relations and 64469945 unique ideals
  74. Thu Sep 15 03:48:48 2016 reduce to 73174178 relations and 59947317 ideals in 7 passes
  75. Thu Sep 15 03:48:48 2016 max relations containing the same ideal: 109
  76. Thu Sep 15 03:49:42 2016 removing 6128527 relations and 4128527 ideals in 2000000 cliques
  77. Thu Sep 15 03:49:45 2016 commencing in-memory singleton removal
  78. Thu Sep 15 03:49:54 2016 begin with 67045651 relations and 59947317 unique ideals
  79. Thu Sep 15 03:51:01 2016 reduce to 66721114 relations and 55486623 ideals in 7 passes
  80. Thu Sep 15 03:51:01 2016 max relations containing the same ideal: 102
  81. Thu Sep 15 03:51:48 2016 removing 6070483 relations and 4070483 ideals in 2000000 cliques
  82. Thu Sep 15 03:51:52 2016 commencing in-memory singleton removal
  83. Thu Sep 15 03:52:00 2016 begin with 60650631 relations and 55486623 unique ideals
  84. Thu Sep 15 03:52:56 2016 reduce to 60308297 relations and 51065031 ideals in 7 passes
  85. Thu Sep 15 03:52:56 2016 max relations containing the same ideal: 96
  86. Thu Sep 15 03:53:36 2016 removing 6024919 relations and 4024919 ideals in 2000000 cliques
  87. Thu Sep 15 03:53:40 2016 commencing in-memory singleton removal
  88. Thu Sep 15 03:53:47 2016 begin with 54283378 relations and 51065031 unique ideals
  89. Thu Sep 15 03:54:43 2016 reduce to 53915602 relations and 46662062 ideals in 8 passes
  90. Thu Sep 15 03:54:43 2016 max relations containing the same ideal: 88
  91. Thu Sep 15 03:55:18 2016 removing 5997831 relations and 3997831 ideals in 2000000 cliques
  92. Thu Sep 15 03:55:21 2016 commencing in-memory singleton removal
  93. Thu Sep 15 03:55:26 2016 begin with 47917771 relations and 46662062 unique ideals
  94. Thu Sep 15 03:56:15 2016 reduce to 47510061 relations and 42243860 ideals in 8 passes
  95. Thu Sep 15 03:56:15 2016 max relations containing the same ideal: 84
  96. Thu Sep 15 03:56:46 2016 removing 5989661 relations and 3989661 ideals in 2000000 cliques
  97. Thu Sep 15 03:56:49 2016 commencing in-memory singleton removal
  98. Thu Sep 15 03:56:54 2016 begin with 41520400 relations and 42243860 unique ideals
  99. Thu Sep 15 03:57:33 2016 reduce to 41050297 relations and 37767405 ideals in 8 passes
  100. Thu Sep 15 03:57:33 2016 max relations containing the same ideal: 76
  101. Thu Sep 15 03:57:59 2016 removing 6018387 relations and 4018387 ideals in 2000000 cliques
  102. Thu Sep 15 03:58:02 2016 commencing in-memory singleton removal
  103. Thu Sep 15 03:58:06 2016 begin with 35031910 relations and 37767405 unique ideals
  104. Thu Sep 15 03:58:44 2016 reduce to 34452990 relations and 33146565 ideals in 8 passes
  105. Thu Sep 15 03:58:44 2016 max relations containing the same ideal: 67
  106. Thu Sep 15 03:59:09 2016 removing 592138 relations and 472178 ideals in 119960 cliques
  107. Thu Sep 15 03:59:10 2016 commencing in-memory singleton removal
  108. Thu Sep 15 03:59:14 2016 begin with 33860852 relations and 33146565 unique ideals
  109. Thu Sep 15 03:59:37 2016 reduce to 33853047 relations and 32666556 ideals in 6 passes
  110. Thu Sep 15 03:59:37 2016 max relations containing the same ideal: 65
  111. Thu Sep 15 03:59:47 2016 relations with 0 large ideals: 38811
  112. Thu Sep 15 03:59:47 2016 relations with 1 large ideals: 28177
  113. Thu Sep 15 03:59:47 2016 relations with 2 large ideals: 335185
  114. Thu Sep 15 03:59:47 2016 relations with 3 large ideals: 1785300
  115. Thu Sep 15 03:59:47 2016 relations with 4 large ideals: 5060919
  116. Thu Sep 15 03:59:47 2016 relations with 5 large ideals: 8469681
  117. Thu Sep 15 03:59:47 2016 relations with 6 large ideals: 8807071
  118. Thu Sep 15 03:59:47 2016 relations with 7+ large ideals: 9327903
  119. Thu Sep 15 03:59:47 2016 commencing 2-way merge
  120. Thu Sep 15 04:00:22 2016 reduce to 23050228 relation sets and 21863737 unique ideals
  121. Thu Sep 15 04:00:22 2016 commencing full merge
  122. Thu Sep 15 04:14:19 2016 memory use: 2802.4 MB
  123. Thu Sep 15 04:14:22 2016 found 9864034 cycles, need 9857937
  124. Thu Sep 15 04:14:27 2016 weight of 9857937 cycles is about 1331775289 (135.10/cycle)
  125. Thu Sep 15 04:14:27 2016 distribution of cycle lengths:
  126. Thu Sep 15 04:14:27 2016 1 relations: 258416
  127. Thu Sep 15 04:14:27 2016 2 relations: 426813
  128. Thu Sep 15 04:14:27 2016 3 relations: 547568
  129. Thu Sep 15 04:14:27 2016 4 relations: 607491
  130. Thu Sep 15 04:14:27 2016 5 relations: 649406
  131. Thu Sep 15 04:14:27 2016 6 relations: 667734
  132. Thu Sep 15 04:14:27 2016 7 relations: 675256
  133. Thu Sep 15 04:14:27 2016 8 relations: 661736
  134. Thu Sep 15 04:14:27 2016 9 relations: 639593
  135. Thu Sep 15 04:14:27 2016 10+ relations: 4723924
  136. Thu Sep 15 04:14:27 2016 heaviest cycle: 28 relations
  137. Thu Sep 15 04:14:32 2016 commencing cycle optimization
  138. Thu Sep 15 04:15:04 2016 start with 99486656 relations
  139. Thu Sep 15 04:21:54 2016 pruned 5565033 relations
  140. Thu Sep 15 04:21:54 2016 memory use: 2423.9 MB
  141. Thu Sep 15 04:21:54 2016 distribution of cycle lengths:
  142. Thu Sep 15 04:21:54 2016 1 relations: 258416
  143. Thu Sep 15 04:21:54 2016 2 relations: 438936
  144. Thu Sep 15 04:21:54 2016 3 relations: 573027
  145. Thu Sep 15 04:21:54 2016 4 relations: 637474
  146. Thu Sep 15 04:21:54 2016 5 relations: 688950
  147. Thu Sep 15 04:21:54 2016 6 relations: 709209
  148. Thu Sep 15 04:21:54 2016 7 relations: 721335
  149. Thu Sep 15 04:21:54 2016 8 relations: 706286
  150. Thu Sep 15 04:21:54 2016 9 relations: 682697
  151. Thu Sep 15 04:21:54 2016 10+ relations: 4441607
  152. Thu Sep 15 04:21:54 2016 heaviest cycle: 28 relations
  153. Thu Sep 15 04:22:26 2016 RelProcTime: 16060
  154. Thu Sep 15 04:22:26 2016 elapsed time 04:27:45
  155.  
  156. Thu Sep 15 12:18:20 2016 Msieve v. 1.52 (SVN exported)
  157. Thu Sep 15 12:18:20 2016 random seeds: 0a1496dc 9907d9e1
  158. Thu Sep 15 12:18:20 2016 factoring 92816898209992574376468604470913227413578927188382121573662385410768037723022108406181511390523164893718509525707281744200874802922509492139451837564423454877645141635228536029771989742672652049580427384987199918103071411534683015003883 (236 digits)
  159. Thu Sep 15 12:18:23 2016 searching for 15-digit factors
  160. Thu Sep 15 12:18:25 2016 commencing number field sieve (236-digit input)
  161. Thu Sep 15 12:18:25 2016 R0: 35917545547686059365808220080151141317043
  162. Thu Sep 15 12:18:25 2016 R1: -19807040628566084398385987584
  163. Thu Sep 15 12:18:25 2016 A0: 8
  164. Thu Sep 15 12:18:25 2016 A1: 0
  165. Thu Sep 15 12:18:25 2016 A2: 0
  166. Thu Sep 15 12:18:25 2016 A3: 0
  167. Thu Sep 15 12:18:25 2016 A4: 0
  168. Thu Sep 15 12:18:25 2016 A5: 0
  169. Thu Sep 15 12:18:25 2016 A6: 9
  170. Thu Sep 15 12:18:25 2016 skew 0.98, size 3.794e-12, alpha 1.337, combined = 3.172e-13 rroots = 0
  171. Thu Sep 15 12:18:25 2016
  172. Thu Sep 15 12:18:25 2016 commencing linear algebra
  173. Thu Sep 15 12:18:28 2016 read 9857937 cycles
  174. Thu Sep 15 12:19:00 2016 cycles contain 33317860 unique relations
  175. Thu Sep 15 13:01:41 2016 read 33317860 relations
  176. Thu Sep 15 13:03:28 2016 using 20 quadratic characters above 2147483324
  177. Thu Sep 15 13:07:09 2016 building initial matrix
  178. Thu Sep 15 13:18:57 2016 memory use: 4148.2 MB
  179. Thu Sep 15 13:19:06 2016 read 9857937 cycles
  180. Thu Sep 15 13:19:09 2016 matrix is 9857760 x 9857937 (5073.1 MB) with weight 1448749913 (146.96/col)
  181. Thu Sep 15 13:19:09 2016 sparse part has weight 1221444157 (123.90/col)
  182. Thu Sep 15 13:23:08 2016 filtering completed in 2 passes
  183. Thu Sep 15 13:23:12 2016 matrix is 9857702 x 9857879 (5073.1 MB) with weight 1448747931 (146.96/col)
  184. Thu Sep 15 13:23:12 2016 sparse part has weight 1221443495 (123.91/col)
  185. Thu Sep 15 13:24:34 2016 matrix starts at (0, 0)
  186. Thu Sep 15 13:24:37 2016 matrix is 9857702 x 9857879 (5073.1 MB) with weight 1448747931 (146.96/col)
  187. Thu Sep 15 13:24:37 2016 sparse part has weight 1221443495 (123.91/col)
  188. Thu Sep 15 13:24:37 2016 saving the first 48 matrix rows for later
  189. Thu Sep 15 13:24:40 2016 matrix includes 64 packed rows
  190. Thu Sep 15 13:24:43 2016 matrix is 9857654 x 9857879 (4882.5 MB) with weight 1264880027 (128.31/col)
  191. Thu Sep 15 13:24:43 2016 sparse part has weight 1181334367 (119.84/col)
  192. Thu Sep 15 13:24:43 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  193. Thu Sep 15 13:26:06 2016 commencing Lanczos iteration (12 threads)
  194. Thu Sep 15 13:26:07 2016 memory use: 4180.9 MB
  195. Thu Sep 15 13:27:12 2016 linear algebra at 0.0%, ETA 113h55m
  196. Thu Sep 15 13:27:32 2016 checkpointing every 90000 dimensions
  197. Sun Sep 18 09:58:03 2016 lanczos halted after 155889 iterations (dim = 9857652)
  198. Sun Sep 18 09:58:15 2016 recovered 37 nontrivial dependencies
  199. Sun Sep 18 09:58:15 2016 BLanczosTime: 250790
  200. Sun Sep 18 09:58:15 2016 elapsed time 69:39:55
  201.  
  202. Sun Sep 18 12:24:21 2016 Msieve v. 1.52 (SVN exported)
  203. Sun Sep 18 12:24:21 2016 random seeds: 8587dac3 6361449e
  204. Sun Sep 18 12:24:21 2016 factoring 92816898209992574376468604470913227413578927188382121573662385410768037723022108406181511390523164893718509525707281744200874802922509492139451837564423454877645141635228536029771989742672652049580427384987199918103071411534683015003883 (236 digits)
  205. Sun Sep 18 12:24:23 2016 searching for 15-digit factors
  206. Sun Sep 18 12:24:26 2016 commencing number field sieve (236-digit input)
  207. Sun Sep 18 12:24:26 2016 R0: 35917545547686059365808220080151141317043
  208. Sun Sep 18 12:24:26 2016 R1: -19807040628566084398385987584
  209. Sun Sep 18 12:24:26 2016 A0: 8
  210. Sun Sep 18 12:24:26 2016 A1: 0
  211. Sun Sep 18 12:24:26 2016 A2: 0
  212. Sun Sep 18 12:24:26 2016 A3: 0
  213. Sun Sep 18 12:24:26 2016 A4: 0
  214. Sun Sep 18 12:24:26 2016 A5: 0
  215. Sun Sep 18 12:24:26 2016 A6: 9
  216. Sun Sep 18 12:24:26 2016 skew 0.98, size 3.794e-12, alpha 1.337, combined = 3.172e-13 rroots = 0
  217. Sun Sep 18 12:24:26 2016
  218. Sun Sep 18 12:24:26 2016 commencing square root phase
  219. Sun Sep 18 12:24:26 2016 handling dependencies 1 to 1
  220. Sun Sep 18 12:24:26 2016 reading relations for dependency 1
  221. Sun Sep 18 12:24:29 2016 read 4926091 cycles
  222. Sun Sep 18 12:24:44 2016 cycles contain 16650834 unique relations
  223. Sun Sep 18 13:03:34 2016 read 16650834 relations
  224. Sun Sep 18 13:05:39 2016 multiplying 16650834 relations
  225. Sun Sep 18 13:23:31 2016 multiply complete, coefficients have about 469.42 million bits
  226. Sun Sep 18 13:23:34 2016 initial square root is modulo 264779413
  227. Sun Sep 18 13:43:02 2016 sqrtTime: 4716
  228. Sun Sep 18 13:43:02 2016 prp55 factor: 2865791377241944666703404515160723991850326100480779977
  229. Sun Sep 18 13:43:02 2016 prp182 factor: 32387876852124571210980517541219962634107811937944256239858145782289558964726870121395173377882427203136610068405351015060634583213098836430460786172410448122636204020550276233244179
  230. Sun Sep 18 13:43:02 2016 elapsed time 01:18:41
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