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Dec 5th, 2015
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  1. Mon Sep 7 00:37:56 2015
  2. Mon Sep 7 00:37:56 2015
  3. Mon Sep 7 00:37:56 2015 Msieve v. 1.53 (SVN 984M)
  4. Mon Sep 7 00:37:56 2015 random seeds: 9b2d56a8 b1f49985
  5. Mon Sep 7 00:37:56 2015 MPI process 0 of 1
  6. Mon Sep 7 00:37:56 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  7. Mon Sep 7 00:37:56 2015 commencing number field sieve (215-digit input)
  8. Mon Sep 7 00:37:56 2015 R0: -10889035741470030830827987437816582766592
  9. Mon Sep 7 00:37:56 2015 R1: 1
  10. Mon Sep 7 00:37:56 2015 A0: -1
  11. Mon Sep 7 00:37:56 2015 A1: 0
  12. Mon Sep 7 00:37:56 2015 A2: 0
  13. Mon Sep 7 00:37:56 2015 A3: 0
  14. Mon Sep 7 00:37:56 2015 A4: 0
  15. Mon Sep 7 00:37:56 2015 A5: 0
  16. Mon Sep 7 00:37:56 2015 A6: 798
  17. Mon Sep 7 00:37:56 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
  18. Mon Sep 7 00:37:57 2015
  19. Mon Sep 7 00:37:57 2015 commencing relation filtering
  20. Mon Sep 7 00:37:57 2015 setting target matrix density to 120.0
  21. Mon Sep 7 00:37:57 2015 estimated available RAM is 258443.8 MB
  22. Mon Sep 7 00:37:58 2015 commencing duplicate removal, pass 1
  23. Mon Sep 7 00:38:34 2015 error -15 reading relation 3632929
  24. Mon Sep 7 00:45:55 2015 error -9 reading relation 47823863
  25. Mon Sep 7 00:53:24 2015 error -9 reading relation 92565064
  26. Mon Sep 7 00:58:17 2015 error -9 reading relation 121689989
  27. Mon Sep 7 00:58:17 2015 error -9 reading relation 121705134
  28. Mon Sep 7 01:03:21 2015 error -9 reading relation 151832165
  29. Mon Sep 7 01:06:58 2015 error -1 reading relation 173268280
  30. Mon Sep 7 01:08:08 2015 error -1 reading relation 180165969
  31. Mon Sep 7 01:09:42 2015 error -1 reading relation 189453066
  32. Mon Sep 7 01:10:10 2015 error -15 reading relation 192263861
  33. Mon Sep 7 01:10:16 2015 error -5 reading relation 192822885
  34. Mon Sep 7 01:10:24 2015 error -9 reading relation 193636045
  35. Mon Sep 7 01:10:32 2015 error -1 reading relation 194438222
  36. Mon Sep 7 01:10:32 2015 error -15 reading relation 194446530
  37. Mon Sep 7 01:10:43 2015 error -9 reading relation 195511194
  38. Mon Sep 7 01:11:11 2015 error -15 reading relation 198290510
  39. Mon Sep 7 01:12:43 2015 error -5 reading relation 207462186
  40. Mon Sep 7 01:12:44 2015 error -1 reading relation 207550405
  41. Mon Sep 7 01:12:44 2015 error -9 reading relation 207562844
  42. Mon Sep 7 01:13:40 2015 error -9 reading relation 213060777
  43. Mon Sep 7 01:13:43 2015 error -15 reading relation 213381390
  44. Mon Sep 7 01:14:28 2015 error -5 reading relation 217864198
  45. Mon Sep 7 01:14:33 2015 error -9 reading relation 218312828
  46. Mon Sep 7 01:14:43 2015 error -9 reading relation 219260992
  47. Mon Sep 7 01:15:06 2015 skipped 417 relations with b > 2^32
  48. Mon Sep 7 01:15:06 2015 skipped 16 relations with composite factors
  49. Mon Sep 7 01:15:06 2015 found 45951692 hash collisions in 221596307 relations
  50. Mon Sep 7 01:15:23 2015 added 1219286 free relations
  51. Mon Sep 7 01:15:23 2015 commencing duplicate removal, pass 2
  52. Mon Sep 7 01:25:42 2015 found 46599606 duplicates and 176215987 unique relations
  53. Mon Sep 7 01:25:42 2015 memory use: 1321.5 MB
  54. Mon Sep 7 01:25:42 2015 reading ideals above 720000
  55. Mon Sep 7 01:25:42 2015 commencing singleton removal, initial pass
  56. Mon Sep 7 01:55:10 2015 memory use: 5512.0 MB
  57. Mon Sep 7 01:55:10 2015 reading all ideals from disk
  58. Mon Sep 7 01:56:13 2015 memory use: 6969.4 MB
  59. Mon Sep 7 01:56:26 2015 keeping 170402261 ideals with weight <= 200, target excess is 898681
  60. Mon Sep 7 01:56:41 2015 commencing in-memory singleton removal
  61. Mon Sep 7 01:56:50 2015 begin with 176215987 relations and 170402261 unique ideals
  62. Mon Sep 7 01:58:54 2015 reduce to 102368991 relations and 87786649 ideals in 18 passes
  63. Mon Sep 7 01:58:54 2015 max relations containing the same ideal: 148
  64. Mon Sep 7 01:59:28 2015 removing 11856972 relations and 9856972 ideals in 2000000 cliques
  65. Mon Sep 7 01:59:31 2015 commencing in-memory singleton removal
  66. Mon Sep 7 01:59:37 2015 begin with 90512019 relations and 87786649 unique ideals
  67. Mon Sep 7 02:00:27 2015 reduce to 89504864 relations and 76897572 ideals in 9 passes
  68. Mon Sep 7 02:00:27 2015 max relations containing the same ideal: 135
  69. Mon Sep 7 02:00:57 2015 removing 8977089 relations and 6977089 ideals in 2000000 cliques
  70. Mon Sep 7 02:01:00 2015 commencing in-memory singleton removal
  71. Mon Sep 7 02:01:05 2015 begin with 80527775 relations and 76897572 unique ideals
  72. Mon Sep 7 02:01:44 2015 reduce to 79848913 relations and 69226658 ideals in 8 passes
  73. Mon Sep 7 02:01:44 2015 max relations containing the same ideal: 128
  74. Mon Sep 7 02:02:12 2015 removing 8103783 relations and 6103783 ideals in 2000000 cliques
  75. Mon Sep 7 02:02:14 2015 commencing in-memory singleton removal
  76. Mon Sep 7 02:02:18 2015 begin with 71745130 relations and 69226658 unique ideals
  77. Mon Sep 7 02:02:58 2015 reduce to 71135279 relations and 62498844 ideals in 9 passes
  78. Mon Sep 7 02:02:58 2015 max relations containing the same ideal: 117
  79. Mon Sep 7 02:03:22 2015 removing 7656786 relations and 5656786 ideals in 2000000 cliques
  80. Mon Sep 7 02:03:25 2015 commencing in-memory singleton removal
  81. Mon Sep 7 02:03:28 2015 begin with 63478493 relations and 62498844 unique ideals
  82. Mon Sep 7 02:03:59 2015 reduce to 62883829 relations and 56232377 ideals in 8 passes
  83. Mon Sep 7 02:03:59 2015 max relations containing the same ideal: 107
  84. Mon Sep 7 02:04:21 2015 removing 7380163 relations and 5380163 ideals in 2000000 cliques
  85. Mon Sep 7 02:04:23 2015 commencing in-memory singleton removal
  86. Mon Sep 7 02:04:26 2015 begin with 55503666 relations and 56232377 unique ideals
  87. Mon Sep 7 02:04:52 2015 reduce to 54891837 relations and 50223266 ideals in 8 passes
  88. Mon Sep 7 02:04:52 2015 max relations containing the same ideal: 99
  89. Mon Sep 7 02:05:12 2015 removing 7192901 relations and 5192901 ideals in 2000000 cliques
  90. Mon Sep 7 02:05:14 2015 commencing in-memory singleton removal
  91. Mon Sep 7 02:05:16 2015 begin with 47698936 relations and 50223266 unique ideals
  92. Mon Sep 7 02:05:39 2015 reduce to 47043280 relations and 44354203 ideals in 8 passes
  93. Mon Sep 7 02:05:39 2015 max relations containing the same ideal: 87
  94. Mon Sep 7 02:05:55 2015 removing 6048411 relations and 4401804 ideals in 1646607 cliques
  95. Mon Sep 7 02:05:57 2015 commencing in-memory singleton removal
  96. Mon Sep 7 02:05:59 2015 begin with 40994869 relations and 44354203 unique ideals
  97. Mon Sep 7 02:06:21 2015 reduce to 40455745 relations and 39397031 ideals in 9 passes
  98. Mon Sep 7 02:06:21 2015 max relations containing the same ideal: 81
  99. Mon Sep 7 02:06:35 2015 removing 124590 relations and 108346 ideals in 16244 cliques
  100. Mon Sep 7 02:06:36 2015 commencing in-memory singleton removal
  101. Mon Sep 7 02:06:38 2015 begin with 40331155 relations and 39397031 unique ideals
  102. Mon Sep 7 02:06:48 2015 reduce to 40330951 relations and 39288481 ideals in 4 passes
  103. Mon Sep 7 02:06:48 2015 max relations containing the same ideal: 80
  104. Mon Sep 7 02:06:55 2015 relations with 0 large ideals: 33810
  105. Mon Sep 7 02:06:55 2015 relations with 1 large ideals: 18921
  106. Mon Sep 7 02:06:55 2015 relations with 2 large ideals: 230560
  107. Mon Sep 7 02:06:55 2015 relations with 3 large ideals: 1398693
  108. Mon Sep 7 02:06:55 2015 relations with 4 large ideals: 4575296
  109. Mon Sep 7 02:06:55 2015 relations with 5 large ideals: 8921874
  110. Mon Sep 7 02:06:55 2015 relations with 6 large ideals: 10846972
  111. Mon Sep 7 02:06:55 2015 relations with 7+ large ideals: 14304825
  112. Mon Sep 7 02:06:55 2015 commencing 2-way merge
  113. Mon Sep 7 02:07:14 2015 reduce to 26410746 relation sets and 25368276 unique ideals
  114. Mon Sep 7 02:07:14 2015 commencing full merge
  115. Mon Sep 7 02:15:49 2015 memory use: 3307.2 MB
  116. Mon Sep 7 02:15:52 2015 found 11841369 cycles, need 11804476
  117. Mon Sep 7 02:15:55 2015 weight of 11804476 cycles is about 1417278991 (120.06/cycle)
  118. Mon Sep 7 02:15:55 2015 distribution of cycle lengths:
  119. Mon Sep 7 02:15:55 2015 1 relations: 510467
  120. Mon Sep 7 02:15:55 2015 2 relations: 722208
  121. Mon Sep 7 02:15:55 2015 3 relations: 847765
  122. Mon Sep 7 02:15:55 2015 4 relations: 866601
  123. Mon Sep 7 02:15:55 2015 5 relations: 883785
  124. Mon Sep 7 02:15:55 2015 6 relations: 864231
  125. Mon Sep 7 02:15:55 2015 7 relations: 839351
  126. Mon Sep 7 02:15:55 2015 8 relations: 794518
  127. Mon Sep 7 02:15:55 2015 9 relations: 745102
  128. Mon Sep 7 02:15:55 2015 10+ relations: 4730448
  129. Mon Sep 7 02:15:55 2015 heaviest cycle: 28 relations
  130. Mon Sep 7 02:16:00 2015 commencing cycle optimization
  131. Mon Sep 7 02:16:21 2015 start with 105359766 relations
  132. Mon Sep 7 02:20:12 2015 pruned 4775034 relations
  133. Mon Sep 7 02:20:12 2015 memory use: 2755.3 MB
  134. Mon Sep 7 02:20:12 2015 distribution of cycle lengths:
  135. Mon Sep 7 02:20:12 2015 1 relations: 510467
  136. Mon Sep 7 02:20:12 2015 2 relations: 740818
  137. Mon Sep 7 02:20:12 2015 3 relations: 884606
  138. Mon Sep 7 02:20:12 2015 4 relations: 903673
  139. Mon Sep 7 02:20:12 2015 5 relations: 928134
  140. Mon Sep 7 02:20:12 2015 6 relations: 905324
  141. Mon Sep 7 02:20:12 2015 7 relations: 880721
  142. Mon Sep 7 02:20:12 2015 8 relations: 830583
  143. Mon Sep 7 02:20:12 2015 9 relations: 776541
  144. Mon Sep 7 02:20:12 2015 10+ relations: 4443609
  145. Mon Sep 7 02:20:12 2015 heaviest cycle: 28 relations
  146. Mon Sep 7 02:20:37 2015 RelProcTime: 6160
  147. Mon Sep 7 02:20:37 2015 elapsed time 01:42:41
  148. Mon Sep 7 02:21:45 2015
  149. Mon Sep 7 02:21:45 2015
  150. Mon Sep 7 02:21:45 2015
  151. Mon Sep 7 02:21:45 2015
  152. Mon Sep 7 02:21:45 2015 Msieve v. 1.53 (SVN 984M)
  153. Mon Sep 7 02:21:45 2015 Msieve v. 1.53 (SVN 984M)
  154. Mon Sep 7 02:21:45 2015 random seeds: 74d9d160 d6e7a67e
  155. Mon Sep 7 02:21:45 2015 random seeds: 92d5ebd7 6766024a
  156. Mon Sep 7 02:21:45 2015 MPI process 0 of 1
  157. Mon Sep 7 02:21:45 2015 MPI process 0 of 1
  158. Mon Sep 7 02:21:45 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  159. Mon Sep 7 02:21:45 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  160. Mon Sep 7 02:21:45 2015 commencing number field sieve (215-digit input)
  161. Mon Sep 7 02:21:45 2015 commencing number field sieve (215-digit input)
  162. Mon Sep 7 02:21:45 2015 R0: -10889035741470030830827987437816582766592
  163. Mon Sep 7 02:21:45 2015 R0: -10889035741470030830827987437816582766592
  164. Mon Sep 7 02:21:45 2015 R1: 1
  165. Mon Sep 7 02:21:45 2015 R1: 1
  166. Mon Sep 7 02:21:45 2015 A0: -1
  167. Mon Sep 7 02:21:45 2015 A0: -1
  168. Mon Sep 7 02:21:45 2015 A1: 0
  169. Mon Sep 7 02:21:45 2015 A1: 0
  170. Mon Sep 7 02:21:45 2015 A2: 0
  171. Mon Sep 7 02:21:45 2015 A3: 0
  172. Mon Sep 7 02:21:45 2015 A2: 0
  173. Mon Sep 7 02:21:45 2015 A3: 0
  174. Mon Sep 7 02:21:45 2015 A4: 0
  175. Mon Sep 7 02:21:45 2015 A4: 0
  176. Mon Sep 7 02:21:45 2015 A5: 0
  177. Mon Sep 7 02:21:45 2015 A5: 0
  178. Mon Sep 7 02:21:45 2015 A6: 798
  179. Mon Sep 7 02:21:45 2015 A6: 798
  180. Mon Sep 7 02:21:45 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
  181. Mon Sep 7 02:21:45 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
  182. Mon Sep 7 02:21:45 2015
  183. Mon Sep 7 02:21:45 2015
  184. Mon Sep 7 02:21:45 2015 commencing linear algebra
  185. Mon Sep 7 02:21:45 2015 commencing linear algebra
  186. Mon Sep 7 02:22:23 2015
  187. Mon Sep 7 02:22:23 2015
  188. Mon Sep 7 02:22:23 2015 Msieve v. 1.53 (SVN 984M)
  189. Mon Sep 7 02:22:23 2015 random seeds: b7b8d575 45bfaded
  190. Mon Sep 7 02:22:23 2015 MPI process 0 of 2
  191. Mon Sep 7 02:22:23 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  192. Mon Sep 7 02:22:23 2015 commencing number field sieve (215-digit input)
  193. Mon Sep 7 02:22:23 2015 R0: -10889035741470030830827987437816582766592
  194. Mon Sep 7 02:22:23 2015 R1: 1
  195. Mon Sep 7 02:22:23 2015 A0: -1
  196. Mon Sep 7 02:22:23 2015 A1: 0
  197. Mon Sep 7 02:22:23 2015 A2: 0
  198. Mon Sep 7 02:22:23 2015 A3: 0
  199. Mon Sep 7 02:22:23 2015 A4: 0
  200. Mon Sep 7 02:22:23 2015 A5: 0
  201. Mon Sep 7 02:22:23 2015 A6: 798
  202. Mon Sep 7 02:22:32 2015
  203. Mon Sep 7 02:22:32 2015
  204. Mon Sep 7 02:22:32 2015 Msieve v. 1.53 (SVN 984M)
  205. Mon Sep 7 02:22:32 2015 random seeds: 6633d57b 0201a413
  206. Mon Sep 7 02:22:32 2015 MPI process 0 of 2
  207. Mon Sep 7 02:22:32 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  208. Mon Sep 7 02:22:32 2015 commencing number field sieve (215-digit input)
  209. Mon Sep 7 02:22:32 2015 R0: -10889035741470030830827987437816582766592
  210. Mon Sep 7 02:22:32 2015 R1: 1
  211. Mon Sep 7 02:22:32 2015 A0: -1
  212. Mon Sep 7 02:22:32 2015 A1: 0
  213. Mon Sep 7 02:22:32 2015 A2: 0
  214. Mon Sep 7 02:22:32 2015 A3: 0
  215. Mon Sep 7 02:22:32 2015 A4: 0
  216. Mon Sep 7 02:22:32 2015 A5: 0
  217. Mon Sep 7 02:22:32 2015 A6: 798
  218. Mon Sep 7 02:22:32 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
  219. Mon Sep 7 02:22:32 2015
  220. Mon Sep 7 02:22:32 2015 commencing linear algebra
  221. Mon Sep 7 02:22:32 2015 initialized process (0,0) of 1 x 2 grid
  222. Mon Sep 7 02:22:34 2015 read 11804476 cycles
  223. Mon Sep 7 02:22:56 2015 cycles contain 39729175 unique relations
  224. Mon Sep 7 02:37:41 2015 read 39729175 relations
  225. Mon Sep 7 02:38:35 2015 using 20 quadratic characters above 4294917295
  226. Mon Sep 7 02:41:38 2015 building initial matrix
  227. Mon Sep 7 02:49:47 2015 memory use: 5214.6 MB
  228. Mon Sep 7 02:50:38 2015 read 11804476 cycles
  229. Mon Sep 7 02:50:40 2015 matrix is 11804298 x 11804476 (5530.2 MB) with weight 1587557463 (134.49/col)
  230. Mon Sep 7 02:50:40 2015 sparse part has weight 1331661376 (112.81/col)
  231. Mon Sep 7 02:52:45 2015 filtering completed in 2 passes
  232. Mon Sep 7 02:52:46 2015 matrix is 11804067 x 11804245 (5530.2 MB) with weight 1587548457 (134.49/col)
  233. Mon Sep 7 02:52:46 2015 sparse part has weight 1331657611 (112.81/col)
  234. Mon Sep 7 02:54:46 2015 matrix starts at (0, 0)
  235. Mon Sep 7 02:54:47 2015 matrix is 11804067 x 5902119 (2765.1 MB) with weight 793770070 (134.49/col)
  236. Mon Sep 7 02:54:47 2015 sparse part has weight 665828974 (112.81/col)
  237. Mon Sep 7 02:54:47 2015 saving the first 48 matrix rows for later
  238. Mon Sep 7 02:54:48 2015 matrix includes 64 packed rows
  239. Mon Sep 7 02:54:49 2015 matrix is 11804019 x 5902119 (2657.1 MB) with weight 679790395 (115.18/col)
  240. Mon Sep 7 02:54:49 2015 sparse part has weight 637519458 (108.02/col)
  241. Mon Sep 7 02:54:49 2015 using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
  242. Mon Sep 7 02:55:16 2015 commencing Lanczos iteration (16 threads)
  243. Mon Sep 7 02:55:16 2015 memory use: 2302.9 MB
  244. Mon Sep 7 02:55:32 2015 linear algebra at 0.0%, ETA 32h21m
  245. Mon Sep 7 02:55:37 2015 checkpointing every 370000 dimensions
  246. Tue Sep 8 11:21:48 2015 lanczos halted after 186663 iterations (dim = 11804015)
  247. Tue Sep 8 11:22:11 2015 recovered 34 nontrivial dependencies
  248. Tue Sep 8 11:22:11 2015 BLanczosTime: 118779
  249. Tue Sep 8 11:22:11 2015 elapsed time 32:59:39
  250. Tue Sep 8 11:22:24 2015
  251. Tue Sep 8 11:22:24 2015
  252. Tue Sep 8 11:22:24 2015 Msieve v. 1.53 (SVN 984M)
  253. Tue Sep 8 11:22:24 2015 random seeds: 20e64eed 526e0587
  254. Tue Sep 8 11:22:24 2015 MPI process 0 of 1
  255. Tue Sep 8 11:22:24 2015 factoring 48348642053964989560907074702389629967921959911589430069155678386263191197936663133582696624858948518783875067467296309357310955867984692818223338173247109552291941014887418566074847097399022333428069212057517554491 (215 digits)
  256. Tue Sep 8 11:22:24 2015 commencing number field sieve (215-digit input)
  257. Tue Sep 8 11:22:24 2015 R0: -10889035741470030830827987437816582766592
  258. Tue Sep 8 11:22:24 2015 R1: 1
  259. Tue Sep 8 11:22:24 2015 A0: -1
  260. Tue Sep 8 11:22:24 2015 A1: 0
  261. Tue Sep 8 11:22:24 2015 A2: 0
  262. Tue Sep 8 11:22:24 2015 A3: 0
  263. Tue Sep 8 11:22:24 2015 A4: 0
  264. Tue Sep 8 11:22:24 2015 A5: 0
  265. Tue Sep 8 11:22:24 2015 A6: 798
  266. Tue Sep 8 11:22:24 2015 skew 1.00, size 3.050e-12, alpha 1.900, combined = 2.623e-13 rroots = 2
  267. Tue Sep 8 11:22:24 2015
  268. Tue Sep 8 11:22:24 2015 commencing square root phase
  269. Tue Sep 8 11:22:24 2015 reading relations for dependency 1
  270. Tue Sep 8 11:22:28 2015 read 5904727 cycles
  271. Tue Sep 8 11:22:39 2015 cycles contain 19869266 unique relations
  272. Tue Sep 8 11:35:40 2015 read 19869266 relations
  273. Tue Sep 8 11:36:53 2015 multiplying 19869266 relations
  274. Tue Sep 8 11:54:49 2015 multiply complete, coefficients have about 672.44 million bits
  275. Tue Sep 8 11:54:51 2015 initial square root is modulo 1078681
  276. Tue Sep 8 12:13:32 2015 sqrtTime: 3068
  277. Tue Sep 8 12:13:32 2015 p144 factor: 534222083073295084659284674482473093528050841206979110284774230714130044545383306321599708295686957376829477611063243841466150568418391586187997
  278. Tue Sep 8 12:13:32 2015 elapsed time 00:51:08
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