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Sep 12th, 2016
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  1. Sat Sep 10 06:05:24 2016
  2. Sat Sep 10 06:05:24 2016
  3. Sat Sep 10 06:05:24 2016 Msieve v. 1.53 (SVN 988M)
  4. Sat Sep 10 06:05:24 2016 random seeds: 3ca66a6c dcc4b422
  5. Sat Sep 10 06:05:24 2016 factoring 1249421680791438543773846928079794766789781891696849810515970385978531006576175257747566424509963960812566429070034066898785576005906497804858792774529938542377240806463828399661 (178 digits)
  6. Sat Sep 10 06:05:25 2016 searching for 15-digit factors
  7. Sat Sep 10 06:05:26 2016 commencing number field sieve (178-digit input)
  8. Sat Sep 10 06:05:26 2016 R0: 7124309490858214375000000000000000
  9. Sat Sep 10 06:05:26 2016 R1: -24272900770553981941874687268486966725193
  10. Sat Sep 10 06:05:26 2016 A0: 12996
  11. Sat Sep 10 06:05:26 2016 A1: 0
  12. Sat Sep 10 06:05:26 2016 A2: 0
  13. Sat Sep 10 06:05:26 2016 A3: 0
  14. Sat Sep 10 06:05:26 2016 A4: 0
  15. Sat Sep 10 06:05:26 2016 A5: 0
  16. Sat Sep 10 06:05:26 2016 A6: 1
  17. Sat Sep 10 06:05:26 2016 skew 4.85, size 1.829e-12, alpha 0.905, combined = 1.894e-13 rroots = 0
  18. Sat Sep 10 06:05:26 2016
  19. Sat Sep 10 06:05:26 2016 commencing relation filtering
  20. Sat Sep 10 06:05:26 2016 setting target matrix density to 130.0
  21. Sat Sep 10 06:05:26 2016 estimated available RAM is 65536.0 MB
  22. Sat Sep 10 06:05:26 2016 commencing duplicate removal, pass 1
  23. Sat Sep 10 06:23:44 2016 error -9 reading relation 132335066
  24. Sat Sep 10 06:24:16 2016 error -9 reading relation 136200815
  25. Sat Sep 10 06:24:21 2016 error -5 reading relation 136868919
  26. Sat Sep 10 06:24:59 2016 error -9 reading relation 141438198
  27. Sat Sep 10 06:25:03 2016 error -5 reading relation 141940264
  28. Sat Sep 10 06:25:07 2016 error -15 reading relation 142381844
  29. Sat Sep 10 06:32:31 2016 error -15 reading relation 195274010
  30. Sat Sep 10 06:32:44 2016 error -9 reading relation 196778052
  31. Sat Sep 10 06:32:45 2016 error -5 reading relation 196849924
  32. Sat Sep 10 06:32:46 2016 error -15 reading relation 196999822
  33. Sat Sep 10 06:32:52 2016 error -15 reading relation 197662768
  34. Sat Sep 10 06:32:53 2016 error -9 reading relation 197798781
  35. Sat Sep 10 06:33:06 2016 error -1 reading relation 199398438
  36. Sat Sep 10 06:33:07 2016 error -15 reading relation 199487924
  37. Sat Sep 10 06:33:28 2016 error -15 reading relation 201986388
  38. Sat Sep 10 06:33:51 2016 error -5 reading relation 204729690
  39. Sat Sep 10 06:34:06 2016 error -9 reading relation 206511261
  40. Sat Sep 10 06:34:08 2016 error -9 reading relation 206724222
  41. Sat Sep 10 06:35:31 2016 error -15 reading relation 216641153
  42. Sat Sep 10 06:35:32 2016 error -9 reading relation 216710689
  43. Sat Sep 10 06:35:37 2016 error -9 reading relation 217323821
  44. Sat Sep 10 06:35:50 2016 error -15 reading relation 218888626
  45. Sat Sep 10 06:35:52 2016 error -9 reading relation 219074612
  46. Sat Sep 10 06:36:02 2016 error -9 reading relation 220265368
  47. Sat Sep 10 06:36:09 2016 error -1 reading relation 221115282
  48. Sat Sep 10 06:37:05 2016 error -15 reading relation 227821952
  49. Sat Sep 10 06:37:49 2016 error -5 reading relation 233076927
  50. Sat Sep 10 06:37:59 2016 error -9 reading relation 234203965
  51. Sat Sep 10 06:37:59 2016 error -15 reading relation 234260554
  52. Sat Sep 10 06:37:59 2016 error -1 reading relation 234273888
  53. Sat Sep 10 06:38:00 2016 error -9 reading relation 234319300
  54. Sat Sep 10 06:38:01 2016 error -15 reading relation 234469517
  55. Sat Sep 10 06:38:02 2016 error -15 reading relation 234606721
  56. Sat Sep 10 06:38:06 2016 error -9 reading relation 235068150
  57. Sat Sep 10 06:38:06 2016 error -15 reading relation 235069304
  58. Sat Sep 10 06:38:17 2016 error -5 reading relation 236344487
  59. Sat Sep 10 06:38:30 2016 error -9 reading relation 237962857
  60. Sat Sep 10 06:38:31 2016 error -1 reading relation 237988251
  61. Sat Sep 10 06:38:43 2016 error -9 reading relation 239415689
  62. Sat Sep 10 06:38:49 2016 error -9 reading relation 240131852
  63. Sat Sep 10 06:39:09 2016 error -5 reading relation 242560384
  64. Sat Sep 10 06:39:09 2016 error -9 reading relation 242639523
  65. Sat Sep 10 06:39:09 2016 error -9 reading relation 242642834
  66. Sat Sep 10 06:39:10 2016 error -9 reading relation 242659285
  67. Sat Sep 10 06:39:10 2016 error -9 reading relation 242751448
  68. Sat Sep 10 06:39:10 2016 error -15 reading relation 242752851
  69. Sat Sep 10 06:39:10 2016 error -15 reading relation 242760195
  70. Sat Sep 10 06:39:11 2016 error -5 reading relation 242864573
  71. Sat Sep 10 06:39:15 2016 error -15 reading relation 243335694
  72. Sat Sep 10 06:39:24 2016 error -15 reading relation 244365232
  73. Sat Sep 10 06:39:34 2016 skipped 17 relations with b > 2^32
  74. Sat Sep 10 06:39:34 2016 skipped 38 relations with composite factors
  75. Sat Sep 10 06:39:34 2016 found 56238550 hash collisions in 245521753 relations
  76. Sat Sep 10 06:39:50 2016 added 1218585 free relations
  77. Sat Sep 10 06:39:50 2016 commencing duplicate removal, pass 2
  78. Sat Sep 10 06:44:05 2016 found 59333777 duplicates and 187406561 unique relations
  79. Sat Sep 10 06:44:05 2016 memory use: 1449.5 MB
  80. Sat Sep 10 06:44:06 2016 reading ideals above 720000
  81. Sat Sep 10 06:44:06 2016 commencing singleton removal, initial pass
  82. Sat Sep 10 07:09:40 2016 memory use: 5512.0 MB
  83. Sat Sep 10 07:09:40 2016 reading all ideals from disk
  84. Sat Sep 10 07:09:44 2016 memory use: 7467.0 MB
  85. Sat Sep 10 07:10:06 2016 keeping 174456093 ideals with weight <= 200, target excess is 969660
  86. Sat Sep 10 07:10:31 2016 commencing in-memory singleton removal
  87. Sat Sep 10 07:10:48 2016 begin with 187406561 relations and 174456093 unique ideals
  88. Sat Sep 10 07:13:42 2016 reduce to 118403809 relations and 98133735 ideals in 14 passes
  89. Sat Sep 10 07:13:44 2016 max relations containing the same ideal: 155
  90. Sat Sep 10 07:14:40 2016 removing 11178405 relations and 9178405 ideals in 2000000 cliques
  91. Sat Sep 10 07:14:44 2016 commencing in-memory singleton removal
  92. Sat Sep 10 07:14:54 2016 begin with 107225404 relations and 98133735 unique ideals
  93. Sat Sep 10 07:16:17 2016 reduce to 106478969 relations and 88192832 ideals in 8 passes
  94. Sat Sep 10 07:16:18 2016 max relations containing the same ideal: 145
  95. Sat Sep 10 07:17:09 2016 removing 8465609 relations and 6465609 ideals in 2000000 cliques
  96. Sat Sep 10 07:17:12 2016 commencing in-memory singleton removal
  97. Sat Sep 10 07:17:21 2016 begin with 98013360 relations and 88192832 unique ideals
  98. Sat Sep 10 07:18:27 2016 reduce to 97522457 relations and 81227239 ideals in 7 passes
  99. Sat Sep 10 07:18:28 2016 max relations containing the same ideal: 140
  100. Sat Sep 10 07:19:14 2016 removing 7631524 relations and 5631524 ideals in 2000000 cliques
  101. Sat Sep 10 07:19:17 2016 commencing in-memory singleton removal
  102. Sat Sep 10 07:19:25 2016 begin with 89890933 relations and 81227239 unique ideals
  103. Sat Sep 10 07:20:42 2016 reduce to 89462173 relations and 75158795 ideals in 9 passes
  104. Sat Sep 10 07:20:43 2016 max relations containing the same ideal: 131
  105. Sat Sep 10 07:21:26 2016 removing 7194856 relations and 5194856 ideals in 2000000 cliques
  106. Sat Sep 10 07:21:29 2016 commencing in-memory singleton removal
  107. Sat Sep 10 07:21:36 2016 begin with 82267317 relations and 75158795 unique ideals
  108. Sat Sep 10 07:22:31 2016 reduce to 81862571 relations and 69551124 ideals in 7 passes
  109. Sat Sep 10 07:22:33 2016 max relations containing the same ideal: 123
  110. Sat Sep 10 07:23:11 2016 removing 6911826 relations and 4911826 ideals in 2000000 cliques
  111. Sat Sep 10 07:23:14 2016 commencing in-memory singleton removal
  112. Sat Sep 10 07:23:21 2016 begin with 74950745 relations and 69551124 unique ideals
  113. Sat Sep 10 07:24:17 2016 reduce to 74554633 relations and 64234653 ideals in 8 passes
  114. Sat Sep 10 07:24:17 2016 max relations containing the same ideal: 116
  115. Sat Sep 10 07:24:51 2016 removing 6713624 relations and 4713624 ideals in 2000000 cliques
  116. Sat Sep 10 07:24:54 2016 commencing in-memory singleton removal
  117. Sat Sep 10 07:25:00 2016 begin with 67841009 relations and 64234653 unique ideals
  118. Sat Sep 10 07:25:37 2016 reduce to 67440837 relations and 59111452 ideals in 6 passes
  119. Sat Sep 10 07:25:37 2016 max relations containing the same ideal: 108
  120. Sat Sep 10 07:26:09 2016 removing 6577055 relations and 4577055 ideals in 2000000 cliques
  121. Sat Sep 10 07:26:12 2016 commencing in-memory singleton removal
  122. Sat Sep 10 07:26:17 2016 begin with 60863782 relations and 59111452 unique ideals
  123. Sat Sep 10 07:26:56 2016 reduce to 60442846 relations and 54102934 ideals in 7 passes
  124. Sat Sep 10 07:26:56 2016 max relations containing the same ideal: 98
  125. Sat Sep 10 07:27:24 2016 removing 6482659 relations and 4482659 ideals in 2000000 cliques
  126. Sat Sep 10 07:27:27 2016 commencing in-memory singleton removal
  127. Sat Sep 10 07:27:31 2016 begin with 53960187 relations and 54102934 unique ideals
  128. Sat Sep 10 07:28:05 2016 reduce to 53501623 relations and 49149009 ideals in 7 passes
  129. Sat Sep 10 07:28:05 2016 max relations containing the same ideal: 93
  130. Sat Sep 10 07:28:30 2016 removing 6434170 relations and 4434170 ideals in 2000000 cliques
  131. Sat Sep 10 07:28:33 2016 commencing in-memory singleton removal
  132. Sat Sep 10 07:28:36 2016 begin with 47067453 relations and 49149009 unique ideals
  133. Sat Sep 10 07:29:06 2016 reduce to 46544626 relations and 44175393 ideals in 7 passes
  134. Sat Sep 10 07:29:06 2016 max relations containing the same ideal: 84
  135. Sat Sep 10 07:29:27 2016 removing 4375588 relations and 3131161 ideals in 1244427 cliques
  136. Sat Sep 10 07:29:29 2016 commencing in-memory singleton removal
  137. Sat Sep 10 07:29:32 2016 begin with 42169038 relations and 44175393 unique ideals
  138. Sat Sep 10 07:29:58 2016 reduce to 41877845 relations and 40746273 ideals in 7 passes
  139. Sat Sep 10 07:29:58 2016 max relations containing the same ideal: 77
  140. Sat Sep 10 07:30:24 2016 relations with 0 large ideals: 36462
  141. Sat Sep 10 07:30:24 2016 relations with 1 large ideals: 23133
  142. Sat Sep 10 07:30:24 2016 relations with 2 large ideals: 273524
  143. Sat Sep 10 07:30:24 2016 relations with 3 large ideals: 1591240
  144. Sat Sep 10 07:30:24 2016 relations with 4 large ideals: 5018764
  145. Sat Sep 10 07:30:24 2016 relations with 5 large ideals: 9470689
  146. Sat Sep 10 07:30:24 2016 relations with 6 large ideals: 11163632
  147. Sat Sep 10 07:30:24 2016 relations with 7+ large ideals: 14300401
  148. Sat Sep 10 07:30:24 2016 commencing 2-way merge
  149. Sat Sep 10 07:30:52 2016 reduce to 28517644 relation sets and 27386072 unique ideals
  150. Sat Sep 10 07:30:52 2016 commencing full merge
  151. Sat Sep 10 07:42:28 2016 memory use: 3480.1 MB
  152. Sat Sep 10 07:42:35 2016 found 12328034 cycles, need 12310272
  153. Sat Sep 10 07:42:35 2016 weight of 12310272 cycles is about 1600800051 (130.04/cycle)
  154. Sat Sep 10 07:42:35 2016 distribution of cycle lengths:
  155. Sat Sep 10 07:42:35 2016 1 relations: 385332
  156. Sat Sep 10 07:42:35 2016 2 relations: 610933
  157. Sat Sep 10 07:42:35 2016 3 relations: 756325
  158. Sat Sep 10 07:42:35 2016 4 relations: 818064
  159. Sat Sep 10 07:42:35 2016 5 relations: 864643
  160. Sat Sep 10 07:42:35 2016 6 relations: 875802
  161. Sat Sep 10 07:42:35 2016 7 relations: 866490
  162. Sat Sep 10 07:42:35 2016 8 relations: 844952
  163. Sat Sep 10 07:42:35 2016 9 relations: 801613
  164. Sat Sep 10 07:42:35 2016 10+ relations: 5486118
  165. Sat Sep 10 07:42:35 2016 heaviest cycle: 28 relations
  166. Sat Sep 10 07:42:39 2016 commencing cycle optimization
  167. Sat Sep 10 07:43:10 2016 start with 117871304 relations
  168. Sat Sep 10 07:48:55 2016 pruned 6118995 relations
  169. Sat Sep 10 07:48:56 2016 memory use: 2948.9 MB
  170. Sat Sep 10 07:48:57 2016 distribution of cycle lengths:
  171. Sat Sep 10 07:48:57 2016 1 relations: 385332
  172. Sat Sep 10 07:48:57 2016 2 relations: 627879
  173. Sat Sep 10 07:48:57 2016 3 relations: 791629
  174. Sat Sep 10 07:48:57 2016 4 relations: 857864
  175. Sat Sep 10 07:48:57 2016 5 relations: 914782
  176. Sat Sep 10 07:48:57 2016 6 relations: 925113
  177. Sat Sep 10 07:48:57 2016 7 relations: 920375
  178. Sat Sep 10 07:48:57 2016 8 relations: 893052
  179. Sat Sep 10 07:48:57 2016 9 relations: 846950
  180. Sat Sep 10 07:48:57 2016 10+ relations: 5147296
  181. Sat Sep 10 07:48:57 2016 heaviest cycle: 28 relations
  182. Sat Sep 10 07:49:30 2016 RelProcTime: 6244
  183. Sat Sep 10 07:49:30 2016
  184. Sat Sep 10 07:49:30 2016 commencing linear algebra
  185. Sat Sep 10 07:49:32 2016 read 12310272 cycles
  186. Sat Sep 10 07:50:01 2016 cycles contain 41275722 unique relations
  187. Sat Sep 10 07:56:16 2016 read 41275722 relations
  188. Sat Sep 10 07:57:49 2016 using 20 quadratic characters above 4294917295
  189. Sat Sep 10 08:00:33 2016 building initial matrix
  190. Sat Sep 10 08:09:49 2016 memory use: 5304.2 MB
  191. Sat Sep 10 08:10:02 2016 read 12310272 cycles
  192. Sat Sep 10 08:10:03 2016 matrix is 12310095 x 12310272 (6150.9 MB) with weight 1749541430 (142.12/col)
  193. Sat Sep 10 08:10:03 2016 sparse part has weight 1477002308 (119.98/col)
  194. Sat Sep 10 08:13:20 2016 filtering completed in 2 passes
  195. Sat Sep 10 08:13:22 2016 matrix is 12310000 x 12310177 (6150.9 MB) with weight 1749538440 (142.12/col)
  196. Sat Sep 10 08:13:22 2016 sparse part has weight 1477001482 (119.98/col)
  197. Sat Sep 10 08:16:27 2016 matrix starts at (0, 0)
  198. Sat Sep 10 08:16:28 2016 matrix is 12310000 x 12310177 (6150.9 MB) with weight 1749538440 (142.12/col)
  199. Sat Sep 10 08:16:28 2016 sparse part has weight 1477001482 (119.98/col)
  200. Sat Sep 10 08:16:28 2016 saving the first 48 matrix rows for later
  201. Sat Sep 10 08:16:30 2016 matrix includes 64 packed rows
  202. Sat Sep 10 08:16:32 2016 matrix is 12309952 x 12310177 (5896.1 MB) with weight 1521496747 (123.60/col)
  203. Sat Sep 10 08:16:32 2016 sparse part has weight 1422517548 (115.56/col)
  204. Sat Sep 10 08:16:32 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  205. Sat Sep 10 08:18:04 2016 commencing Lanczos iteration (12 threads)
  206. Sat Sep 10 08:18:06 2016 memory use: 5043.1 MB
  207. Sat Sep 10 08:18:31 2016 linear algebra at 0.0%, ETA 51h44m
  208. Sat Sep 10 08:18:39 2016 checkpointing every 240000 dimensions
  209. Mon Sep 12 13:40:59 2016 lanczos halted after 194667 iterations (dim = 12309948)
  210. Mon Sep 12 13:41:26 2016 recovered 40 nontrivial dependencies
  211. Mon Sep 12 13:41:32 2016 BLanczosTime: 193922
  212. Mon Sep 12 13:41:32 2016
  213. Mon Sep 12 13:41:32 2016 commencing square root phase
  214. Mon Sep 12 13:41:32 2016 handling dependencies 1 to 64
  215. Mon Sep 12 13:41:32 2016 reading relations for dependency 1
  216. Mon Sep 12 13:41:34 2016 read 6156186 cycles
  217. Mon Sep 12 13:41:48 2016 cycles contain 20639946 unique relations
  218. Mon Sep 12 13:46:23 2016 read 20639946 relations
  219. Mon Sep 12 13:47:53 2016 multiplying 20639946 relations
  220. Mon Sep 12 14:05:32 2016 multiply complete, coefficients have about 543.96 million bits
  221. Mon Sep 12 14:05:34 2016 initial square root is modulo 75883
  222. Mon Sep 12 14:22:42 2016 sqrtTime: 2470
  223. Mon Sep 12 14:22:43 2016 p77 factor: 56359415713758422376837845758080456237089454921168934763314271001375690861421
  224. Mon Sep 12 14:22:44 2016 p101 factor: 22168818909285295688831460877299357285706495486170991377318936746983584980876798150724299984839253441
  225. Mon Sep 12 14:22:44 2016 elapsed time 56:17:20
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