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Jun 11th, 2018
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  1. Fri Jun 8 21:08:10 2018 Msieve v. 1.53 (SVN unknown)
  2. Fri Jun 8 21:08:10 2018 random seeds: 9dc68569 5bd23ab5
  3. Fri Jun 8 21:08:10 2018 factoring 28074502122564319908979181531967537616095668707384454473748919573561082001884566015915909261090700889679832915180616153494785635778300687649218819936786961125157204537625400997331224951086304617912441364997580901 (212 digits)
  4. Fri Jun 8 21:08:12 2018 searching for 15-digit factors
  5. Fri Jun 8 21:08:12 2018 commencing number field sieve (212-digit input)
  6. Fri Jun 8 21:08:12 2018 R0: 24828921817043693312917600278892972922402
  7. Fri Jun 8 21:08:12 2018 R1: -157571957584602258799
  8. Fri Jun 8 21:08:12 2018 A0: -1
  9. Fri Jun 8 21:08:12 2018 A1: 3
  10. Fri Jun 8 21:08:12 2018 A2: 6
  11. Fri Jun 8 21:08:12 2018 A3: -4
  12. Fri Jun 8 21:08:12 2018 A4: -5
  13. Fri Jun 8 21:08:12 2018 A5: 1
  14. Fri Jun 8 21:08:12 2018 A6: 1
  15. Fri Jun 8 21:08:12 2018 skew 1.00, size 6.476e-12, alpha 3.126, combined = 4.532e-13 rroots = 6
  16. Fri Jun 8 21:08:12 2018
  17. Fri Jun 8 21:08:12 2018 commencing relation filtering
  18. Fri Jun 8 21:08:12 2018 setting target matrix density to 124.0
  19. Fri Jun 8 21:08:12 2018 estimated available RAM is 16001.6 MB
  20. Fri Jun 8 21:08:12 2018 commencing duplicate removal, pass 1
  21. Fri Jun 8 21:19:27 2018 error -11 reading relation 88384635
  22. Fri Jun 8 21:19:27 2018 error -15 reading relation 88388583
  23. Fri Jun 8 21:35:01 2018 error -15 reading relation 176224470
  24. Fri Jun 8 21:35:34 2018 error -15 reading relation 180916734
  25. Fri Jun 8 21:37:41 2018 skipped 58 relations with b > 2^32
  26. Fri Jun 8 21:37:41 2018 skipped 6 relations with composite factors
  27. Fri Jun 8 21:37:41 2018 found 8409565 hash collisions in 195873349 relations
  28. Fri Jun 8 21:37:41 2018 commencing duplicate removal, pass 2
  29. Fri Jun 8 21:40:30 2018 found 0 duplicates and 195873349 unique relations
  30. Fri Jun 8 21:40:30 2018 memory use: 522.4 MB
  31. Fri Jun 8 21:40:30 2018 reading ideals above 149880832
  32. Fri Jun 8 21:40:30 2018 commencing singleton removal, initial pass
  33. Fri Jun 8 22:02:20 2018 memory use: 3012.0 MB
  34. Fri Jun 8 22:02:21 2018 reading all ideals from disk
  35. Fri Jun 8 22:03:58 2018 memory use: 3257.5 MB
  36. Fri Jun 8 22:04:10 2018 commencing in-memory singleton removal
  37. Fri Jun 8 22:04:22 2018 begin with 195873349 relations and 155113312 unique ideals
  38. Fri Jun 8 22:06:28 2018 reduce to 130186124 relations and 83250616 ideals in 13 passes
  39. Fri Jun 8 22:06:28 2018 max relations containing the same ideal: 39
  40. Fri Jun 8 22:06:38 2018 reading ideals above 720000
  41. Fri Jun 8 22:06:38 2018 commencing singleton removal, initial pass
  42. Fri Jun 8 22:30:05 2018 memory use: 2756.0 MB
  43. Fri Jun 8 22:30:06 2018 reading all ideals from disk
  44. Fri Jun 8 22:30:51 2018 memory use: 5062.6 MB
  45. Fri Jun 8 22:31:13 2018 keeping 99460949 ideals with weight <= 200, target excess is 665511
  46. Fri Jun 8 22:31:31 2018 commencing in-memory singleton removal
  47. Fri Jun 8 22:31:47 2018 begin with 130186124 relations and 99460949 unique ideals
  48. Fri Jun 8 22:33:01 2018 reduce to 130185760 relations and 99460584 ideals in 4 passes
  49. Fri Jun 8 22:33:01 2018 max relations containing the same ideal: 200
  50. Fri Jun 8 22:34:12 2018 removing 9925763 relations and 7925763 ideals in 2000000 cliques
  51. Fri Jun 8 22:34:15 2018 commencing in-memory singleton removal
  52. Fri Jun 8 22:34:28 2018 begin with 120259997 relations and 99460584 unique ideals
  53. Fri Jun 8 22:36:22 2018 reduce to 119704782 relations and 90968871 ideals in 7 passes
  54. Fri Jun 8 22:36:22 2018 max relations containing the same ideal: 197
  55. Fri Jun 8 22:37:31 2018 removing 7599846 relations and 5599846 ideals in 2000000 cliques
  56. Fri Jun 8 22:37:34 2018 commencing in-memory singleton removal
  57. Fri Jun 8 22:37:44 2018 begin with 112104936 relations and 90968871 unique ideals
  58. Fri Jun 8 22:39:17 2018 reduce to 111733770 relations and 84991592 ideals in 6 passes
  59. Fri Jun 8 22:39:17 2018 max relations containing the same ideal: 190
  60. Fri Jun 8 22:40:14 2018 removing 6924277 relations and 4924277 ideals in 2000000 cliques
  61. Fri Jun 8 22:40:17 2018 commencing in-memory singleton removal
  62. Fri Jun 8 22:40:30 2018 begin with 104809493 relations and 84991592 unique ideals
  63. Fri Jun 8 22:42:00 2018 reduce to 104485177 relations and 79737490 ideals in 7 passes
  64. Fri Jun 8 22:42:00 2018 max relations containing the same ideal: 183
  65. Fri Jun 8 22:42:46 2018 removing 6569175 relations and 4569175 ideals in 2000000 cliques
  66. Fri Jun 8 22:42:48 2018 commencing in-memory singleton removal
  67. Fri Jun 8 22:42:56 2018 begin with 97916002 relations and 79737490 unique ideals
  68. Fri Jun 8 22:43:48 2018 reduce to 97613911 relations and 74860839 ideals in 7 passes
  69. Fri Jun 8 22:43:48 2018 max relations containing the same ideal: 178
  70. Fri Jun 8 22:44:30 2018 removing 6353775 relations and 4353775 ideals in 2000000 cliques
  71. Fri Jun 8 22:44:32 2018 commencing in-memory singleton removal
  72. Fri Jun 8 22:44:41 2018 begin with 91260136 relations and 74860839 unique ideals
  73. Fri Jun 8 22:45:40 2018 reduce to 90967701 relations and 70209176 ideals in 7 passes
  74. Fri Jun 8 22:45:40 2018 max relations containing the same ideal: 172
  75. Fri Jun 8 22:46:23 2018 removing 6197855 relations and 4197855 ideals in 2000000 cliques
  76. Fri Jun 8 22:46:25 2018 commencing in-memory singleton removal
  77. Fri Jun 8 22:46:32 2018 begin with 84769846 relations and 70209176 unique ideals
  78. Fri Jun 8 22:47:24 2018 reduce to 84480002 relations and 65715761 ideals in 7 passes
  79. Fri Jun 8 22:47:24 2018 max relations containing the same ideal: 163
  80. Fri Jun 8 22:48:06 2018 removing 6084308 relations and 4084308 ideals in 2000000 cliques
  81. Fri Jun 8 22:48:08 2018 commencing in-memory singleton removal
  82. Fri Jun 8 22:48:15 2018 begin with 78395694 relations and 65715761 unique ideals
  83. Fri Jun 8 22:49:01 2018 reduce to 78103735 relations and 61333237 ideals in 7 passes
  84. Fri Jun 8 22:49:01 2018 max relations containing the same ideal: 154
  85. Fri Jun 8 22:49:38 2018 removing 5999063 relations and 3999063 ideals in 2000000 cliques
  86. Fri Jun 8 22:49:41 2018 commencing in-memory singleton removal
  87. Fri Jun 8 22:49:49 2018 begin with 72104672 relations and 61333237 unique ideals
  88. Fri Jun 8 22:50:42 2018 reduce to 71805294 relations and 57027983 ideals in 6 passes
  89. Fri Jun 8 22:50:42 2018 max relations containing the same ideal: 143
  90. Fri Jun 8 22:51:23 2018 removing 5932154 relations and 3932154 ideals in 2000000 cliques
  91. Fri Jun 8 22:51:25 2018 commencing in-memory singleton removal
  92. Fri Jun 8 22:51:31 2018 begin with 65873140 relations and 57027983 unique ideals
  93. Fri Jun 8 22:52:09 2018 reduce to 65562660 relations and 52777751 ideals in 7 passes
  94. Fri Jun 8 22:52:09 2018 max relations containing the same ideal: 134
  95. Fri Jun 8 22:52:47 2018 removing 5882143 relations and 3882143 ideals in 2000000 cliques
  96. Fri Jun 8 22:52:50 2018 commencing in-memory singleton removal
  97. Fri Jun 8 22:52:56 2018 begin with 59680517 relations and 52777751 unique ideals
  98. Fri Jun 8 22:53:38 2018 reduce to 59353717 relations and 48560182 ideals in 6 passes
  99. Fri Jun 8 22:53:38 2018 max relations containing the same ideal: 126
  100. Fri Jun 8 22:54:07 2018 removing 5841647 relations and 3841647 ideals in 2000000 cliques
  101. Fri Jun 8 22:54:09 2018 commencing in-memory singleton removal
  102. Fri Jun 8 22:54:15 2018 begin with 53512070 relations and 48560182 unique ideals
  103. Fri Jun 8 22:54:57 2018 reduce to 53166998 relations and 44363411 ideals in 7 passes
  104. Fri Jun 8 22:54:57 2018 max relations containing the same ideal: 117
  105. Fri Jun 8 22:55:25 2018 removing 5810861 relations and 3810861 ideals in 2000000 cliques
  106. Fri Jun 8 22:55:27 2018 commencing in-memory singleton removal
  107. Fri Jun 8 22:55:32 2018 begin with 47356137 relations and 44363411 unique ideals
  108. Fri Jun 8 22:56:01 2018 reduce to 46980757 relations and 40165177 ideals in 6 passes
  109. Fri Jun 8 22:56:01 2018 max relations containing the same ideal: 109
  110. Fri Jun 8 22:56:23 2018 removing 5789123 relations and 3789123 ideals in 2000000 cliques
  111. Fri Jun 8 22:56:25 2018 commencing in-memory singleton removal
  112. Fri Jun 8 22:56:29 2018 begin with 41191634 relations and 40165177 unique ideals
  113. Fri Jun 8 22:56:58 2018 reduce to 40771439 relations and 35940729 ideals in 7 passes
  114. Fri Jun 8 22:56:58 2018 max relations containing the same ideal: 102
  115. Fri Jun 8 22:57:17 2018 removing 5780219 relations and 3780219 ideals in 2000000 cliques
  116. Fri Jun 8 22:57:19 2018 commencing in-memory singleton removal
  117. Fri Jun 8 22:57:22 2018 begin with 34991220 relations and 35940729 unique ideals
  118. Fri Jun 8 22:57:44 2018 reduce to 34498105 relations and 31646724 ideals in 8 passes
  119. Fri Jun 8 22:57:44 2018 max relations containing the same ideal: 90
  120. Fri Jun 8 22:58:02 2018 removing 5803554 relations and 3803554 ideals in 2000000 cliques
  121. Fri Jun 8 22:58:04 2018 commencing in-memory singleton removal
  122. Fri Jun 8 22:58:06 2018 begin with 28694551 relations and 31646724 unique ideals
  123. Fri Jun 8 22:58:26 2018 reduce to 28070334 relations and 27188043 ideals in 8 passes
  124. Fri Jun 8 22:58:26 2018 max relations containing the same ideal: 76
  125. Fri Jun 8 22:58:41 2018 removing 536357 relations and 426059 ideals in 110298 cliques
  126. Fri Jun 8 22:58:42 2018 commencing in-memory singleton removal
  127. Fri Jun 8 22:58:44 2018 begin with 27533977 relations and 27188043 unique ideals
  128. Fri Jun 8 22:58:56 2018 reduce to 27524810 relations and 26752786 ideals in 5 passes
  129. Fri Jun 8 22:58:56 2018 max relations containing the same ideal: 75
  130. Fri Jun 8 22:59:01 2018 relations with 0 large ideals: 51019
  131. Fri Jun 8 22:59:01 2018 relations with 1 large ideals: 12269
  132. Fri Jun 8 22:59:01 2018 relations with 2 large ideals: 149878
  133. Fri Jun 8 22:59:01 2018 relations with 3 large ideals: 924854
  134. Fri Jun 8 22:59:01 2018 relations with 4 large ideals: 3057851
  135. Fri Jun 8 22:59:01 2018 relations with 5 large ideals: 5971028
  136. Fri Jun 8 22:59:01 2018 relations with 6 large ideals: 7269185
  137. Fri Jun 8 22:59:01 2018 relations with 7+ large ideals: 10088726
  138. Fri Jun 8 22:59:01 2018 commencing 2-way merge
  139. Fri Jun 8 22:59:16 2018 reduce to 18814187 relation sets and 18042163 unique ideals
  140. Fri Jun 8 22:59:16 2018 commencing full merge
  141. Fri Jun 8 23:07:22 2018 memory use: 2457.2 MB
  142. Fri Jun 8 23:07:24 2018 found 8323256 cycles, need 8320363
  143. Fri Jun 8 23:07:26 2018 weight of 8320363 cycles is about 1032477064 (124.09/cycle)
  144. Fri Jun 8 23:07:26 2018 distribution of cycle lengths:
  145. Fri Jun 8 23:07:26 2018 1 relations: 280310
  146. Fri Jun 8 23:07:26 2018 2 relations: 406725
  147. Fri Jun 8 23:07:26 2018 3 relations: 511076
  148. Fri Jun 8 23:07:26 2018 4 relations: 554495
  149. Fri Jun 8 23:07:26 2018 5 relations: 588850
  150. Fri Jun 8 23:07:26 2018 6 relations: 599202
  151. Fri Jun 8 23:07:26 2018 7 relations: 596523
  152. Fri Jun 8 23:07:26 2018 8 relations: 579575
  153. Fri Jun 8 23:07:26 2018 9 relations: 547721
  154. Fri Jun 8 23:07:26 2018 10+ relations: 3655886
  155. Fri Jun 8 23:07:26 2018 heaviest cycle: 28 relations
  156. Fri Jun 8 23:07:29 2018 commencing cycle optimization
  157. Fri Jun 8 23:07:51 2018 start with 79286730 relations
  158. Fri Jun 8 23:11:18 2018 pruned 4235571 relations
  159. Fri Jun 8 23:11:18 2018 memory use: 1961.3 MB
  160. Fri Jun 8 23:11:18 2018 distribution of cycle lengths:
  161. Fri Jun 8 23:11:18 2018 1 relations: 280310
  162. Fri Jun 8 23:11:18 2018 2 relations: 416831
  163. Fri Jun 8 23:11:18 2018 3 relations: 533045
  164. Fri Jun 8 23:11:18 2018 4 relations: 580155
  165. Fri Jun 8 23:11:18 2018 5 relations: 622780
  166. Fri Jun 8 23:11:18 2018 6 relations: 633742
  167. Fri Jun 8 23:11:18 2018 7 relations: 634895
  168. Fri Jun 8 23:11:18 2018 8 relations: 614670
  169. Fri Jun 8 23:11:18 2018 9 relations: 580959
  170. Fri Jun 8 23:11:18 2018 10+ relations: 3422976
  171. Fri Jun 8 23:11:18 2018 heaviest cycle: 28 relations
  172. Fri Jun 8 23:11:34 2018 RelProcTime: 7402
  173. Fri Jun 8 23:11:34 2018 elapsed time 02:03:24
  174.  
  175. Sat Jun 9 20:26:46 2018 Msieve v. 1.53 (SVN unknown)
  176. Sat Jun 9 20:26:46 2018 random seeds: 4b36483a 576539e7
  177. Sat Jun 9 20:26:46 2018 factoring 28074502122564319908979181531967537616095668707384454473748919573561082001884566015915909261090700889679832915180616153494785635778300687649218819936786961125157204537625400997331224951086304617912441364997580901 (212 digits)
  178. Sat Jun 9 20:26:47 2018 searching for 15-digit factors
  179. Sat Jun 9 20:26:48 2018 commencing number field sieve (212-digit input)
  180. Sat Jun 9 20:26:48 2018 R0: 24828921817043693312917600278892972922402
  181. Sat Jun 9 20:26:48 2018 R1: -157571957584602258799
  182. Sat Jun 9 20:26:48 2018 A0: -1
  183. Sat Jun 9 20:26:48 2018 A1: 3
  184. Sat Jun 9 20:26:48 2018 A2: 6
  185. Sat Jun 9 20:26:48 2018 A3: -4
  186. Sat Jun 9 20:26:48 2018 A4: -5
  187. Sat Jun 9 20:26:48 2018 A5: 1
  188. Sat Jun 9 20:26:48 2018 A6: 1
  189. Sat Jun 9 20:26:48 2018 skew 1.00, size 6.476e-12, alpha 3.126, combined = 4.532e-13 rroots = 6
  190. Sat Jun 9 20:26:48 2018
  191. Sat Jun 9 20:26:48 2018 commencing linear algebra
  192. Sat Jun 9 20:26:49 2018 read 8320363 cycles
  193. Sat Jun 9 20:27:07 2018 cycles contain 27175002 unique relations
  194. Sat Jun 9 20:29:29 2018 read 27175002 relations
  195. Sat Jun 9 20:30:14 2018 using 20 quadratic characters above 4294917295
  196. Sat Jun 9 20:31:58 2018 building initial matrix
  197. Sat Jun 9 20:36:42 2018 memory use: 3341.8 MB
  198. Sat Jun 9 20:36:46 2018 read 8320363 cycles
  199. Sat Jun 9 20:36:47 2018 matrix is 8320186 x 8320363 (3959.3 MB) with weight 1120048230 (134.62/col)
  200. Sat Jun 9 20:36:47 2018 sparse part has weight 954691166 (114.74/col)
  201. Sat Jun 9 20:38:25 2018 filtering completed in 2 passes
  202. Sat Jun 9 20:38:26 2018 matrix is 8320146 x 8320323 (3959.3 MB) with weight 1120046888 (134.62/col)
  203. Sat Jun 9 20:38:26 2018 sparse part has weight 954690678 (114.74/col)
  204. Sat Jun 9 20:38:49 2018 matrix starts at (0, 0)
  205. Sat Jun 9 20:38:50 2018 matrix is 8320146 x 8320323 (3959.3 MB) with weight 1120046888 (134.62/col)
  206. Sat Jun 9 20:38:50 2018 sparse part has weight 954690678 (114.74/col)
  207. Sat Jun 9 20:38:50 2018 saving the first 48 matrix rows for later
  208. Sat Jun 9 20:38:51 2018 matrix includes 64 packed rows
  209. Sat Jun 9 20:38:52 2018 matrix is 8320098 x 8320323 (3803.5 MB) with weight 973319173 (116.98/col)
  210. Sat Jun 9 20:38:52 2018 sparse part has weight 913873034 (109.84/col)
  211. Sat Jun 9 20:38:53 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  212. Sat Jun 9 20:39:25 2018 commencing Lanczos iteration (4 threads)
  213. Sat Jun 9 20:39:25 2018 memory use: 3244.0 MB
  214. Sat Jun 9 20:40:01 2018 linear algebra at 0.0%, ETA 53h16m
  215. Sat Jun 9 20:40:13 2018 checkpointing every 160000 dimensions
  216. Mon Jun 11 18:45:12 2018 lanczos halted after 131579 iterations (dim = 8320096)
  217. Mon Jun 11 18:45:27 2018 recovered 33 nontrivial dependencies
  218. Mon Jun 11 18:45:28 2018 BLanczosTime: 166720
  219. Mon Jun 11 18:45:28 2018
  220. Mon Jun 11 18:45:28 2018 commencing square root phase
  221. Mon Jun 11 18:45:28 2018 handling dependencies 1 to 64
  222. Mon Jun 11 18:45:28 2018 reading relations for dependency 1
  223. Mon Jun 11 18:45:28 2018 read 4160429 cycles
  224. Mon Jun 11 18:45:35 2018 cycles contain 13589186 unique relations
  225. Mon Jun 11 18:46:46 2018 read 13589186 relations
  226. Mon Jun 11 18:47:30 2018 multiplying 13589186 relations
  227. Mon Jun 11 18:55:47 2018 multiply complete, coefficients have about 337.29 million bits
  228. Mon Jun 11 18:55:49 2018 initial square root is modulo 1127323
  229. Mon Jun 11 19:04:57 2018 sqrtTime: 1169
  230. Mon Jun 11 19:04:57 2018 p71 factor: 53677935749092399014277410726589252694639829525402193389545236168191673
  231. Mon Jun 11 19:04:57 2018 p141 factor: 523017544001568859649473631959326860649662226150642799430567640987911502551976998226578255541778046176131367547469544336641133738271439393037
  232. Mon Jun 11 19:04:57 2018 elapsed time 46:38:11
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