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  1. Tue Aug 30 20:47:20 2016
  2. Tue Aug 30 20:47:20 2016
  3. Tue Aug 30 20:47:20 2016 Msieve v. 1.53 (SVN 988M)
  4. Tue Aug 30 20:47:20 2016 random seeds: 6119bee5 9b0056dd
  5. Tue Aug 30 20:47:20 2016 factoring 748600949375525571956274743889145309563869600775366577429837591854873188295987091186041495663882904416514970224929066167526857038701658118838920092619968576412946270172789257990237979208041405673 (195 digits)
  6. Tue Aug 30 20:47:20 2016 searching for 15-digit factors
  7. Tue Aug 30 20:47:22 2016 commencing number field sieve (195-digit input)
  8. Tue Aug 30 20:47:22 2016 R0: 909377607891473342964601076981440190281
  9. Tue Aug 30 20:47:22 2016 R1: -51243345250520908585991389699571712
  10. Tue Aug 30 20:47:22 2016 A0: 20736
  11. Tue Aug 30 20:47:22 2016 A1: 0
  12. Tue Aug 30 20:47:22 2016 A2: 0
  13. Tue Aug 30 20:47:22 2016 A3: 0
  14. Tue Aug 30 20:47:22 2016 A4: 0
  15. Tue Aug 30 20:47:22 2016 A5: 0
  16. Tue Aug 30 20:47:22 2016 A6: 121
  17. Tue Aug 30 20:47:22 2016 skew 2.36, size 4.341e-12, alpha -0.249, combined = 3.610e-13 rroots = 0
  18. Tue Aug 30 20:47:22 2016
  19. Tue Aug 30 20:47:22 2016 commencing relation filtering
  20. Tue Aug 30 20:47:22 2016 setting target matrix density to 130.0
  21. Tue Aug 30 20:47:22 2016 estimated available RAM is 65536.0 MB
  22. Tue Aug 30 20:47:22 2016 commencing duplicate removal, pass 1
  23. Tue Aug 30 20:53:04 2016 error -9 reading relation 47466322
  24. Tue Aug 30 20:53:51 2016 error -9 reading relation 53957374
  25. Tue Aug 30 20:57:11 2016 error -15 reading relation 81550614
  26. Tue Aug 30 21:07:09 2016 error -1 reading relation 163505336
  27. Tue Aug 30 21:08:46 2016 error -9 reading relation 176936385
  28. Tue Aug 30 21:10:07 2016 error -9 reading relation 187990076
  29. Tue Aug 30 21:10:13 2016 error -9 reading relation 188839194
  30. Tue Aug 30 21:10:15 2016 error -15 reading relation 189107624
  31. Tue Aug 30 21:10:35 2016 error -9 reading relation 191868293
  32. Tue Aug 30 21:14:53 2016 error -9 reading relation 227373229
  33. Tue Aug 30 21:15:37 2016 error -15 reading relation 233372273
  34. Tue Aug 30 21:15:38 2016 error -9 reading relation 233532926
  35. Tue Aug 30 21:15:41 2016 error -9 reading relation 233973070
  36. Tue Aug 30 21:16:03 2016 error -9 reading relation 237151396
  37. Tue Aug 30 21:16:10 2016 error -1 reading relation 238223176
  38. Tue Aug 30 21:16:15 2016 error -9 reading relation 238828827
  39. Tue Aug 30 21:16:17 2016 error -9 reading relation 239137377
  40. Tue Aug 30 21:16:17 2016 error -5 reading relation 239190590
  41. Tue Aug 30 21:16:17 2016 error -9 reading relation 239255910
  42. Tue Aug 30 21:16:20 2016 error -9 reading relation 239657538
  43. Tue Aug 30 21:16:32 2016 error -9 reading relation 241314433
  44. Tue Aug 30 21:16:33 2016 error -1 reading relation 241507753
  45. Tue Aug 30 21:17:51 2016 skipped 26 relations with b > 2^32
  46. Tue Aug 30 21:17:51 2016 skipped 16 relations with composite factors
  47. Tue Aug 30 21:17:51 2016 found 50294497 hash collisions in 252198767 relations
  48. Tue Aug 30 21:18:06 2016 added 1218865 free relations
  49. Tue Aug 30 21:18:06 2016 commencing duplicate removal, pass 2
  50. Tue Aug 30 21:21:54 2016 found 49200919 duplicates and 204216713 unique relations
  51. Tue Aug 30 21:21:54 2016 memory use: 1321.5 MB
  52. Tue Aug 30 21:21:54 2016 reading ideals above 720000
  53. Tue Aug 30 21:21:54 2016 commencing singleton removal, initial pass
  54. Tue Aug 30 21:46:27 2016 memory use: 5512.0 MB
  55. Tue Aug 30 21:46:28 2016 reading all ideals from disk
  56. Tue Aug 30 21:46:32 2016 memory use: 7990.8 MB
  57. Tue Aug 30 21:46:53 2016 keeping 176913182 ideals with weight <= 200, target excess is 1034219
  58. Tue Aug 30 21:47:17 2016 commencing in-memory singleton removal
  59. Tue Aug 30 21:47:33 2016 begin with 204216713 relations and 176913182 unique ideals
  60. Tue Aug 30 21:50:26 2016 reduce to 139801577 relations and 106483514 ideals in 14 passes
  61. Tue Aug 30 21:50:26 2016 max relations containing the same ideal: 164
  62. Tue Aug 30 21:51:22 2016 removing 10119017 relations and 8119017 ideals in 2000000 cliques
  63. Tue Aug 30 21:51:26 2016 commencing in-memory singleton removal
  64. Tue Aug 30 21:51:36 2016 begin with 129682560 relations and 106483514 unique ideals
  65. Tue Aug 30 21:52:51 2016 reduce to 129142088 relations and 97814348 ideals in 7 passes
  66. Tue Aug 30 21:52:51 2016 max relations containing the same ideal: 156
  67. Tue Aug 30 21:53:43 2016 removing 7713663 relations and 5713663 ideals in 2000000 cliques
  68. Tue Aug 30 21:53:46 2016 commencing in-memory singleton removal
  69. Tue Aug 30 21:53:55 2016 begin with 121428425 relations and 97814348 unique ideals
  70. Tue Aug 30 21:54:55 2016 reduce to 121066538 relations and 91732969 ideals in 6 passes
  71. Tue Aug 30 21:54:55 2016 max relations containing the same ideal: 149
  72. Tue Aug 30 21:55:44 2016 removing 7010628 relations and 5010628 ideals in 2000000 cliques
  73. Tue Aug 30 21:55:47 2016 commencing in-memory singleton removal
  74. Tue Aug 30 21:55:56 2016 begin with 114055910 relations and 91732969 unique ideals
  75. Tue Aug 30 21:57:01 2016 reduce to 113742034 relations and 86403462 ideals in 7 passes
  76. Tue Aug 30 21:57:01 2016 max relations containing the same ideal: 143
  77. Tue Aug 30 21:57:47 2016 removing 6650317 relations and 4650317 ideals in 2000000 cliques
  78. Tue Aug 30 21:57:49 2016 commencing in-memory singleton removal
  79. Tue Aug 30 21:57:58 2016 begin with 107091717 relations and 86403462 unique ideals
  80. Tue Aug 30 21:58:50 2016 reduce to 106799799 relations and 81456384 ideals in 6 passes
  81. Tue Aug 30 21:58:50 2016 max relations containing the same ideal: 138
  82. Tue Aug 30 21:59:33 2016 removing 6421174 relations and 4421174 ideals in 2000000 cliques
  83. Tue Aug 30 21:59:36 2016 commencing in-memory singleton removal
  84. Tue Aug 30 21:59:43 2016 begin with 100378625 relations and 81456384 unique ideals
  85. Tue Aug 30 22:00:40 2016 reduce to 100096427 relations and 76748241 ideals in 7 passes
  86. Tue Aug 30 22:00:40 2016 max relations containing the same ideal: 132
  87. Tue Aug 30 22:01:20 2016 removing 6265888 relations and 4265888 ideals in 2000000 cliques
  88. Tue Aug 30 22:01:23 2016 commencing in-memory singleton removal
  89. Tue Aug 30 22:01:30 2016 begin with 93830539 relations and 76748241 unique ideals
  90. Tue Aug 30 22:02:23 2016 reduce to 93552205 relations and 72198872 ideals in 7 passes
  91. Tue Aug 30 22:02:23 2016 max relations containing the same ideal: 127
  92. Tue Aug 30 22:03:01 2016 removing 6150930 relations and 4150930 ideals in 2000000 cliques
  93. Tue Aug 30 22:03:03 2016 commencing in-memory singleton removal
  94. Tue Aug 30 22:03:09 2016 begin with 87401275 relations and 72198872 unique ideals
  95. Tue Aug 30 22:03:51 2016 reduce to 87122825 relations and 67764167 ideals in 6 passes
  96. Tue Aug 30 22:03:51 2016 max relations containing the same ideal: 120
  97. Tue Aug 30 22:04:27 2016 removing 6063600 relations and 4063600 ideals in 2000000 cliques
  98. Tue Aug 30 22:04:29 2016 commencing in-memory singleton removal
  99. Tue Aug 30 22:04:35 2016 begin with 81059225 relations and 67764167 unique ideals
  100. Tue Aug 30 22:05:13 2016 reduce to 80776808 relations and 63412349 ideals in 6 passes
  101. Tue Aug 30 22:05:13 2016 max relations containing the same ideal: 117
  102. Tue Aug 30 22:05:46 2016 removing 5996368 relations and 3996368 ideals in 2000000 cliques
  103. Tue Aug 30 22:05:48 2016 commencing in-memory singleton removal
  104. Tue Aug 30 22:05:54 2016 begin with 74780440 relations and 63412349 unique ideals
  105. Tue Aug 30 22:06:29 2016 reduce to 74487722 relations and 59117046 ideals in 6 passes
  106. Tue Aug 30 22:06:29 2016 max relations containing the same ideal: 109
  107. Tue Aug 30 22:06:59 2016 removing 5949949 relations and 3949949 ideals in 2000000 cliques
  108. Tue Aug 30 22:07:01 2016 commencing in-memory singleton removal
  109. Tue Aug 30 22:07:06 2016 begin with 68537773 relations and 59117046 unique ideals
  110. Tue Aug 30 22:07:44 2016 reduce to 68232828 relations and 54854924 ideals in 7 passes
  111. Tue Aug 30 22:07:44 2016 max relations containing the same ideal: 101
  112. Tue Aug 30 22:08:11 2016 removing 5918527 relations and 3918527 ideals in 2000000 cliques
  113. Tue Aug 30 22:08:13 2016 commencing in-memory singleton removal
  114. Tue Aug 30 22:08:18 2016 begin with 62314301 relations and 54854924 unique ideals
  115. Tue Aug 30 22:08:51 2016 reduce to 61991044 relations and 50604911 ideals in 7 passes
  116. Tue Aug 30 22:08:51 2016 max relations containing the same ideal: 95
  117. Tue Aug 30 22:09:17 2016 removing 5895355 relations and 3895355 ideals in 2000000 cliques
  118. Tue Aug 30 22:09:19 2016 commencing in-memory singleton removal
  119. Tue Aug 30 22:09:22 2016 begin with 56095689 relations and 50604911 unique ideals
  120. Tue Aug 30 22:09:53 2016 reduce to 55751620 relations and 46355827 ideals in 7 passes
  121. Tue Aug 30 22:09:53 2016 max relations containing the same ideal: 91
  122. Tue Aug 30 22:10:15 2016 removing 5878393 relations and 3878393 ideals in 2000000 cliques
  123. Tue Aug 30 22:10:17 2016 commencing in-memory singleton removal
  124. Tue Aug 30 22:10:21 2016 begin with 49873227 relations and 46355827 unique ideals
  125. Tue Aug 30 22:10:43 2016 reduce to 49496840 relations and 42089569 ideals in 6 passes
  126. Tue Aug 30 22:10:43 2016 max relations containing the same ideal: 86
  127. Tue Aug 30 22:11:03 2016 removing 5871977 relations and 3871977 ideals in 2000000 cliques
  128. Tue Aug 30 22:11:05 2016 commencing in-memory singleton removal
  129. Tue Aug 30 22:11:08 2016 begin with 43624863 relations and 42089569 unique ideals
  130. Tue Aug 30 22:11:31 2016 reduce to 43206174 relations and 37784827 ideals in 7 passes
  131. Tue Aug 30 22:11:31 2016 max relations containing the same ideal: 78
  132. Tue Aug 30 22:11:48 2016 removing 5881109 relations and 3881109 ideals in 2000000 cliques
  133. Tue Aug 30 22:11:50 2016 commencing in-memory singleton removal
  134. Tue Aug 30 22:11:53 2016 begin with 37325065 relations and 37784827 unique ideals
  135. Tue Aug 30 22:12:12 2016 reduce to 36842866 relations and 33402774 ideals in 7 passes
  136. Tue Aug 30 22:12:12 2016 max relations containing the same ideal: 70
  137. Tue Aug 30 22:12:27 2016 removing 5901955 relations and 3901955 ideals in 2000000 cliques
  138. Tue Aug 30 22:12:28 2016 commencing in-memory singleton removal
  139. Tue Aug 30 22:12:30 2016 begin with 30940911 relations and 33402774 unique ideals
  140. Tue Aug 30 22:12:48 2016 reduce to 30349228 relations and 28882297 ideals in 8 passes
  141. Tue Aug 30 22:12:48 2016 max relations containing the same ideal: 60
  142. Tue Aug 30 22:13:00 2016 removing 1136902 relations and 869666 ideals in 267236 cliques
  143. Tue Aug 30 22:13:01 2016 commencing in-memory singleton removal
  144. Tue Aug 30 22:13:03 2016 begin with 29212326 relations and 28882297 unique ideals
  145. Tue Aug 30 22:13:15 2016 reduce to 29180025 relations and 27980051 ideals in 6 passes
  146. Tue Aug 30 22:13:15 2016 max relations containing the same ideal: 59
  147. Tue Aug 30 22:13:30 2016 relations with 0 large ideals: 36917
  148. Tue Aug 30 22:13:30 2016 relations with 1 large ideals: 31653
  149. Tue Aug 30 22:13:30 2016 relations with 2 large ideals: 380126
  150. Tue Aug 30 22:13:30 2016 relations with 3 large ideals: 1899877
  151. Tue Aug 30 22:13:30 2016 relations with 4 large ideals: 4986660
  152. Tue Aug 30 22:13:30 2016 relations with 5 large ideals: 7658181
  153. Tue Aug 30 22:13:30 2016 relations with 6 large ideals: 7254764
  154. Tue Aug 30 22:13:30 2016 relations with 7+ large ideals: 6931847
  155. Tue Aug 30 22:13:30 2016 commencing 2-way merge
  156. Tue Aug 30 22:13:46 2016 reduce to 19799371 relation sets and 18599397 unique ideals
  157. Tue Aug 30 22:13:46 2016 commencing full merge
  158. Tue Aug 30 22:21:12 2016 memory use: 2401.5 MB
  159. Tue Aug 30 22:21:15 2016 found 8622533 cycles, need 8571597
  160. Tue Aug 30 22:21:16 2016 weight of 8571597 cycles is about 1114765431 (130.05/cycle)
  161. Tue Aug 30 22:21:16 2016 distribution of cycle lengths:
  162. Tue Aug 30 22:21:16 2016 1 relations: 236988
  163. Tue Aug 30 22:21:16 2016 2 relations: 382700
  164. Tue Aug 30 22:21:16 2016 3 relations: 485726
  165. Tue Aug 30 22:21:16 2016 4 relations: 534611
  166. Tue Aug 30 22:21:16 2016 5 relations: 571884
  167. Tue Aug 30 22:21:16 2016 6 relations: 589992
  168. Tue Aug 30 22:21:16 2016 7 relations: 597959
  169. Tue Aug 30 22:21:16 2016 8 relations: 585678
  170. Tue Aug 30 22:21:16 2016 9 relations: 564331
  171. Tue Aug 30 22:21:16 2016 10+ relations: 4021728
  172. Tue Aug 30 22:21:16 2016 heaviest cycle: 28 relations
  173. Tue Aug 30 22:21:18 2016 commencing cycle optimization
  174. Tue Aug 30 22:21:39 2016 start with 84596234 relations
  175. Tue Aug 30 22:25:37 2016 pruned 4732677 relations
  176. Tue Aug 30 22:25:37 2016 memory use: 2075.6 MB
  177. Tue Aug 30 22:25:37 2016 distribution of cycle lengths:
  178. Tue Aug 30 22:25:37 2016 1 relations: 236988
  179. Tue Aug 30 22:25:37 2016 2 relations: 392907
  180. Tue Aug 30 22:25:37 2016 3 relations: 507573
  181. Tue Aug 30 22:25:37 2016 4 relations: 561338
  182. Tue Aug 30 22:25:37 2016 5 relations: 607110
  183. Tue Aug 30 22:25:37 2016 6 relations: 627483
  184. Tue Aug 30 22:25:37 2016 7 relations: 639884
  185. Tue Aug 30 22:25:37 2016 8 relations: 625838
  186. Tue Aug 30 22:25:37 2016 9 relations: 602920
  187. Tue Aug 30 22:25:37 2016 10+ relations: 3769556
  188. Tue Aug 30 22:25:37 2016 heaviest cycle: 28 relations
  189. Tue Aug 30 22:25:54 2016 RelProcTime: 5912
  190. Tue Aug 30 22:25:54 2016
  191. Tue Aug 30 22:25:54 2016 commencing linear algebra
  192. Tue Aug 30 22:25:55 2016 read 8571597 cycles
  193. Tue Aug 30 22:26:15 2016 cycles contain 28651647 unique relations
  194. Tue Aug 30 22:30:54 2016 read 28651647 relations
  195. Tue Aug 30 22:31:55 2016 using 20 quadratic characters above 4294917295
  196. Tue Aug 30 22:33:37 2016 building initial matrix
  197. Tue Aug 30 22:39:07 2016 memory use: 3547.8 MB
  198. Tue Aug 30 22:39:15 2016 read 8571597 cycles
  199. Tue Aug 30 22:39:16 2016 matrix is 8571420 x 8571597 (4234.0 MB) with weight 1206028589 (140.70/col)
  200. Tue Aug 30 22:39:16 2016 sparse part has weight 1024211679 (119.49/col)
  201. Tue Aug 30 22:41:11 2016 filtering completed in 2 passes
  202. Tue Aug 30 22:41:12 2016 matrix is 8571317 x 8571494 (4234.0 MB) with weight 1206025479 (140.70/col)
  203. Tue Aug 30 22:41:12 2016 sparse part has weight 1024210827 (119.49/col)
  204. Tue Aug 30 22:41:43 2016 matrix starts at (0, 0)
  205. Tue Aug 30 22:41:44 2016 matrix is 8571317 x 8571494 (4234.0 MB) with weight 1206025479 (140.70/col)
  206. Tue Aug 30 22:41:44 2016 sparse part has weight 1024210827 (119.49/col)
  207. Tue Aug 30 22:41:44 2016 saving the first 48 matrix rows for later
  208. Tue Aug 30 22:41:45 2016 matrix includes 64 packed rows
  209. Tue Aug 30 22:41:46 2016 matrix is 8571269 x 8571494 (4066.6 MB) with weight 1048640346 (122.34/col)
  210. Tue Aug 30 22:41:46 2016 sparse part has weight 980311934 (114.37/col)
  211. Tue Aug 30 22:41:46 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  212. Tue Aug 30 22:42:38 2016 commencing Lanczos iteration (6 threads)
  213. Tue Aug 30 22:42:38 2016 memory use: 3481.6 MB
  214. Tue Aug 30 22:43:02 2016 linear algebra at 0.0%, ETA 36h 6m
  215. Tue Aug 30 22:43:10 2016 checkpointing every 240000 dimensions
  216. Thu Sep 1 10:48:19 2016 lanczos halted after 135540 iterations (dim = 8571263)
  217. Thu Sep 1 10:48:30 2016 recovered 39 nontrivial dependencies
  218. Thu Sep 1 10:48:31 2016 BLanczosTime: 130957
  219. Thu Sep 1 10:48:31 2016
  220. Thu Sep 1 10:48:31 2016 commencing square root phase
  221. Thu Sep 1 10:48:31 2016 handling dependencies 1 to 64
  222. Thu Sep 1 10:48:31 2016 reading relations for dependency 1
  223. Thu Sep 1 10:48:33 2016 read 4282776 cycles
  224. Thu Sep 1 10:48:42 2016 cycles contain 14318848 unique relations
  225. Thu Sep 1 10:52:20 2016 read 14318848 relations
  226. Thu Sep 1 10:53:19 2016 multiplying 14318848 relations
  227. Thu Sep 1 11:04:54 2016 multiply complete, coefficients have about 465.43 million bits
  228. Thu Sep 1 11:04:55 2016 initial square root is modulo 224512231
  229. Thu Sep 1 11:17:04 2016 sqrtTime: 1713
  230. Thu Sep 1 11:17:04 2016 p65 factor: 20103809360703046614804940508310042790531501970944461397685014829
  231. Thu Sep 1 11:17:04 2016 p131 factor: 37236771198140051703074659075729422992588508976874028476105692724590925383318839888478119211908312002025103478337358890961048533037
  232. Thu Sep 1 11:17:04 2016 elapsed time 38:29:44
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