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Jun 30th, 2016
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  1. Wed Jun 29 09:11:09 2016
  2. Wed Jun 29 09:11:10 2016
  3. Wed Jun 29 09:11:11 2016 Msieve v. 1.53 (SVN 988M)
  4. Wed Jun 29 09:11:11 2016 random seeds: 01af6b6b 792e374f
  5. Wed Jun 29 09:11:11 2016 factoring 5631234584247364714783126169248032830446810010569030173227470486030841669976046504770164099523919771357613580358045397011305979396738437607646301580529605787984658925225309040783526737800598452285044761 (202 digits)
  6. Wed Jun 29 09:11:12 2016 searching for 15-digit factors
  7. Wed Jun 29 09:11:13 2016 commencing number field sieve (202-digit input)
  8. Wed Jun 29 09:11:13 2016 R0: 4239098421337964634607993999566466831476334617
  9. Wed Jun 29 09:11:13 2016 R1: -1866585911861003723776
  10. Wed Jun 29 09:11:13 2016 A0: 2278
  11. Wed Jun 29 09:11:13 2016 A1: 0
  12. Wed Jun 29 09:11:13 2016 A2: 0
  13. Wed Jun 29 09:11:13 2016 A3: 0
  14. Wed Jun 29 09:11:13 2016 A4: 0
  15. Wed Jun 29 09:11:13 2016 A5: 81
  16. Wed Jun 29 09:11:13 2016 skew 1.95, size 2.743e-16, alpha 1.074, combined = 4.920e-13 rroots = 1
  17. Wed Jun 29 09:11:13 2016
  18. Wed Jun 29 09:11:13 2016 commencing relation filtering
  19. Wed Jun 29 09:11:13 2016 setting target matrix density to 120.0
  20. Wed Jun 29 09:11:13 2016 estimated available RAM is 65536.0 MB
  21. Wed Jun 29 09:11:13 2016 commencing duplicate removal, pass 1
  22. Wed Jun 29 09:23:55 2016 error -9 reading relation 92795089
  23. Wed Jun 29 09:24:17 2016 error -9 reading relation 95411164
  24. Wed Jun 29 09:24:36 2016 error -1 reading relation 97875312
  25. Wed Jun 29 09:25:18 2016 error -5 reading relation 102834377
  26. Wed Jun 29 09:25:21 2016 error -9 reading relation 103225010
  27. Wed Jun 29 09:25:21 2016 error -1 reading relation 103268340
  28. Wed Jun 29 09:25:21 2016 error -9 reading relation 103298360
  29. Wed Jun 29 09:25:22 2016 error -1 reading relation 103343574
  30. Wed Jun 29 09:25:22 2016 error -15 reading relation 103358062
  31. Wed Jun 29 09:25:22 2016 error -9 reading relation 103414888
  32. Wed Jun 29 09:25:22 2016 error -15 reading relation 103414925
  33. Wed Jun 29 09:25:22 2016 error -9 reading relation 103415074
  34. Wed Jun 29 09:25:22 2016 error -5 reading relation 103415151
  35. Wed Jun 29 09:25:22 2016 error -5 reading relation 103418874
  36. Wed Jun 29 09:25:22 2016 error -1 reading relation 103419111
  37. Wed Jun 29 09:25:22 2016 error -11 reading relation 103419262
  38. Wed Jun 29 09:25:22 2016 error -11 reading relation 103419298
  39. Wed Jun 29 09:25:22 2016 error -11 reading relation 103419559
  40. Wed Jun 29 09:25:22 2016 error -15 reading relation 103419670
  41. Wed Jun 29 09:25:22 2016 error -15 reading relation 103419707
  42. Wed Jun 29 09:25:22 2016 error -1 reading relation 103419755
  43. Wed Jun 29 09:25:22 2016 error -11 reading relation 103419793
  44. Wed Jun 29 09:25:22 2016 error -11 reading relation 103419906
  45. Wed Jun 29 09:25:22 2016 error -9 reading relation 103420017
  46. Wed Jun 29 09:25:22 2016 error -1 reading relation 103420059
  47. Wed Jun 29 09:25:22 2016 error -15 reading relation 103420134
  48. Wed Jun 29 09:25:22 2016 error -15 reading relation 103420431
  49. Wed Jun 29 09:25:22 2016 error -9 reading relation 103420507
  50. Wed Jun 29 09:25:22 2016 error -11 reading relation 103420544
  51. Wed Jun 29 09:25:22 2016 error -11 reading relation 103420582
  52. Wed Jun 29 09:25:22 2016 error -1 reading relation 103420607
  53. Wed Jun 29 09:25:22 2016 error -5 reading relation 103436661
  54. Wed Jun 29 09:25:23 2016 error -9 reading relation 103516111
  55. Wed Jun 29 09:25:23 2016 error -9 reading relation 103528771
  56. Wed Jun 29 09:25:23 2016 error -1 reading relation 103528809
  57. Wed Jun 29 09:25:23 2016 error -11 reading relation 103528923
  58. Wed Jun 29 09:25:23 2016 error -5 reading relation 103529034
  59. Wed Jun 29 09:25:23 2016 error -11 reading relation 103532840
  60. Wed Jun 29 09:25:23 2016 error -9 reading relation 103549704
  61. Wed Jun 29 09:25:24 2016 error -9 reading relation 103563691
  62. Wed Jun 29 09:25:24 2016 error -9 reading relation 103610460
  63. Wed Jun 29 09:25:24 2016 error -15 reading relation 103638395
  64. Wed Jun 29 09:25:25 2016 error -15 reading relation 103697278
  65. Wed Jun 29 09:25:25 2016 error -15 reading relation 103711006
  66. Wed Jun 29 09:25:25 2016 error -1 reading relation 103711083
  67. Wed Jun 29 09:25:25 2016 error -11 reading relation 103714489
  68. Wed Jun 29 09:25:25 2016 error -5 reading relation 103731518
  69. Wed Jun 29 09:25:25 2016 error -9 reading relation 103775558
  70. Wed Jun 29 09:25:44 2016 error -9 reading relation 106050083
  71. Wed Jun 29 09:25:59 2016 error -15 reading relation 107914123
  72. Wed Jun 29 09:26:03 2016 skipped 14 relations with b > 2^32
  73. Wed Jun 29 09:26:03 2016 skipped 42 relations with composite factors
  74. Wed Jun 29 09:26:03 2016 found 21718949 hash collisions in 108434609 relations
  75. Wed Jun 29 09:26:33 2016 added 730105 free relations
  76. Wed Jun 29 09:26:33 2016 commencing duplicate removal, pass 2
  77. Wed Jun 29 09:28:21 2016 found 21751340 duplicates and 87413374 unique relations
  78. Wed Jun 29 09:28:21 2016 memory use: 660.8 MB
  79. Wed Jun 29 09:28:22 2016 reading ideals above 720000
  80. Wed Jun 29 09:28:22 2016 commencing singleton removal, initial pass
  81. Wed Jun 29 09:39:46 2016 memory use: 2756.0 MB
  82. Wed Jun 29 09:39:46 2016 reading all ideals from disk
  83. Wed Jun 29 09:39:48 2016 memory use: 3364.1 MB
  84. Wed Jun 29 09:39:57 2016 keeping 88252780 ideals with weight <= 200, target excess is 463487
  85. Wed Jun 29 09:40:07 2016 commencing in-memory singleton removal
  86. Wed Jun 29 09:40:14 2016 begin with 87413374 relations and 88252780 unique ideals
  87. Wed Jun 29 09:41:26 2016 reduce to 48600377 relations and 44678481 ideals in 15 passes
  88. Wed Jun 29 09:41:26 2016 max relations containing the same ideal: 142
  89. Wed Jun 29 09:41:47 2016 removing 3372799 relations and 2972799 ideals in 400000 cliques
  90. Wed Jun 29 09:41:49 2016 commencing in-memory singleton removal
  91. Wed Jun 29 09:41:52 2016 begin with 45227578 relations and 44678481 unique ideals
  92. Wed Jun 29 09:42:28 2016 reduce to 45053199 relations and 41529319 ideals in 9 passes
  93. Wed Jun 29 09:42:28 2016 max relations containing the same ideal: 137
  94. Wed Jun 29 09:42:48 2016 removing 2501997 relations and 2101997 ideals in 400000 cliques
  95. Wed Jun 29 09:42:49 2016 commencing in-memory singleton removal
  96. Wed Jun 29 09:42:53 2016 begin with 42551202 relations and 41529319 unique ideals
  97. Wed Jun 29 09:43:19 2016 reduce to 42444225 relations and 39319426 ideals in 7 passes
  98. Wed Jun 29 09:43:19 2016 max relations containing the same ideal: 130
  99. Wed Jun 29 09:43:37 2016 removing 2228116 relations and 1828116 ideals in 400000 cliques
  100. Wed Jun 29 09:43:38 2016 commencing in-memory singleton removal
  101. Wed Jun 29 09:43:42 2016 begin with 40216109 relations and 39319426 unique ideals
  102. Wed Jun 29 09:44:13 2016 reduce to 40125865 relations and 37400204 ideals in 9 passes
  103. Wed Jun 29 09:44:13 2016 max relations containing the same ideal: 125
  104. Wed Jun 29 09:44:31 2016 removing 2074997 relations and 1674997 ideals in 400000 cliques
  105. Wed Jun 29 09:44:32 2016 commencing in-memory singleton removal
  106. Wed Jun 29 09:44:35 2016 begin with 38050868 relations and 37400204 unique ideals
  107. Wed Jun 29 09:45:01 2016 reduce to 37969654 relations and 35643240 ideals in 8 passes
  108. Wed Jun 29 09:45:01 2016 max relations containing the same ideal: 121
  109. Wed Jun 29 09:45:17 2016 removing 1973525 relations and 1573525 ideals in 400000 cliques
  110. Wed Jun 29 09:45:18 2016 commencing in-memory singleton removal
  111. Wed Jun 29 09:45:21 2016 begin with 35996129 relations and 35643240 unique ideals
  112. Wed Jun 29 09:45:43 2016 reduce to 35918591 relations and 33991450 ideals in 7 passes
  113. Wed Jun 29 09:45:43 2016 max relations containing the same ideal: 116
  114. Wed Jun 29 09:45:58 2016 removing 1901480 relations and 1501480 ideals in 400000 cliques
  115. Wed Jun 29 09:45:59 2016 commencing in-memory singleton removal
  116. Wed Jun 29 09:46:02 2016 begin with 34017111 relations and 33991450 unique ideals
  117. Wed Jun 29 09:46:22 2016 reduce to 33942344 relations and 32414464 ideals in 7 passes
  118. Wed Jun 29 09:46:22 2016 max relations containing the same ideal: 110
  119. Wed Jun 29 09:46:37 2016 removing 1848939 relations and 1448939 ideals in 400000 cliques
  120. Wed Jun 29 09:46:38 2016 commencing in-memory singleton removal
  121. Wed Jun 29 09:46:40 2016 begin with 32093405 relations and 32414464 unique ideals
  122. Wed Jun 29 09:47:02 2016 reduce to 32018574 relations and 30889961 ideals in 8 passes
  123. Wed Jun 29 09:47:02 2016 max relations containing the same ideal: 106
  124. Wed Jun 29 09:47:16 2016 removing 1807517 relations and 1407517 ideals in 400000 cliques
  125. Wed Jun 29 09:47:17 2016 commencing in-memory singleton removal
  126. Wed Jun 29 09:47:19 2016 begin with 30211057 relations and 30889961 unique ideals
  127. Wed Jun 29 09:47:37 2016 reduce to 30134938 relations and 29405527 ideals in 7 passes
  128. Wed Jun 29 09:47:37 2016 max relations containing the same ideal: 101
  129. Wed Jun 29 09:47:50 2016 removing 965257 relations and 773491 ideals in 191766 cliques
  130. Wed Jun 29 09:47:50 2016 commencing in-memory singleton removal
  131. Wed Jun 29 09:47:52 2016 begin with 29169681 relations and 29405527 unique ideals
  132. Wed Jun 29 09:48:09 2016 reduce to 29148141 relations and 28610363 ideals in 7 passes
  133. Wed Jun 29 09:48:09 2016 max relations containing the same ideal: 99
  134. Wed Jun 29 09:48:26 2016 relations with 0 large ideals: 9709
  135. Wed Jun 29 09:48:26 2016 relations with 1 large ideals: 4004
  136. Wed Jun 29 09:48:26 2016 relations with 2 large ideals: 64719
  137. Wed Jun 29 09:48:26 2016 relations with 3 large ideals: 486445
  138. Wed Jun 29 09:48:26 2016 relations with 4 large ideals: 1999569
  139. Wed Jun 29 09:48:26 2016 relations with 5 large ideals: 4933236
  140. Wed Jun 29 09:48:26 2016 relations with 6 large ideals: 7875080
  141. Wed Jun 29 09:48:26 2016 relations with 7+ large ideals: 13775379
  142. Wed Jun 29 09:48:26 2016 commencing 2-way merge
  143. Wed Jun 29 09:48:45 2016 reduce to 19019473 relation sets and 18481695 unique ideals
  144. Wed Jun 29 09:48:45 2016 commencing full merge
  145. Wed Jun 29 09:56:27 2016 memory use: 2385.6 MB
  146. Wed Jun 29 09:56:32 2016 found 8447044 cycles, need 8445895
  147. Wed Jun 29 09:56:33 2016 weight of 8445895 cycles is about 1013881177 (120.04/cycle)
  148. Wed Jun 29 09:56:33 2016 distribution of cycle lengths:
  149. Wed Jun 29 09:56:33 2016 1 relations: 376588
  150. Wed Jun 29 09:56:33 2016 2 relations: 564524
  151. Wed Jun 29 09:56:33 2016 3 relations: 649768
  152. Wed Jun 29 09:56:33 2016 4 relations: 648274
  153. Wed Jun 29 09:56:33 2016 5 relations: 637775
  154. Wed Jun 29 09:56:33 2016 6 relations: 605563
  155. Wed Jun 29 09:56:33 2016 7 relations: 574240
  156. Wed Jun 29 09:56:33 2016 8 relations: 533736
  157. Wed Jun 29 09:56:33 2016 9 relations: 496408
  158. Wed Jun 29 09:56:33 2016 10+ relations: 3359019
  159. Wed Jun 29 09:56:33 2016 heaviest cycle: 28 relations
  160. Wed Jun 29 09:56:35 2016 commencing cycle optimization
  161. Wed Jun 29 09:56:54 2016 start with 75521036 relations
  162. Wed Jun 29 10:00:12 2016 pruned 3291230 relations
  163. Wed Jun 29 10:00:12 2016 memory use: 1988.7 MB
  164. Wed Jun 29 10:00:12 2016 distribution of cycle lengths:
  165. Wed Jun 29 10:00:12 2016 1 relations: 376588
  166. Wed Jun 29 10:00:12 2016 2 relations: 579773
  167. Wed Jun 29 10:00:12 2016 3 relations: 679503
  168. Wed Jun 29 10:00:12 2016 4 relations: 675530
  169. Wed Jun 29 10:00:12 2016 5 relations: 667554
  170. Wed Jun 29 10:00:12 2016 6 relations: 630881
  171. Wed Jun 29 10:00:12 2016 7 relations: 598447
  172. Wed Jun 29 10:00:12 2016 8 relations: 553528
  173. Wed Jun 29 10:00:12 2016 9 relations: 513093
  174. Wed Jun 29 10:00:12 2016 10+ relations: 3170998
  175. Wed Jun 29 10:00:12 2016 heaviest cycle: 28 relations
  176. Wed Jun 29 10:00:33 2016 RelProcTime: 2960
  177. Wed Jun 29 10:00:33 2016
  178. Wed Jun 29 10:00:33 2016 commencing linear algebra
  179. Wed Jun 29 10:00:35 2016 read 8445895 cycles
  180. Wed Jun 29 10:00:54 2016 cycles contain 28842097 unique relations
  181. Wed Jun 29 10:04:26 2016 read 28842097 relations
  182. Wed Jun 29 10:05:25 2016 using 20 quadratic characters above 4294917295
  183. Wed Jun 29 10:07:20 2016 building initial matrix
  184. Wed Jun 29 10:12:52 2016 memory use: 3615.0 MB
  185. Wed Jun 29 10:13:00 2016 read 8445895 cycles
  186. Wed Jun 29 10:13:01 2016 matrix is 8445718 x 8445895 (3969.7 MB) with weight 1134520300 (134.33/col)
  187. Wed Jun 29 10:13:01 2016 sparse part has weight 947718774 (112.21/col)
  188. Wed Jun 29 10:15:01 2016 filtering completed in 2 passes
  189. Wed Jun 29 10:15:03 2016 matrix is 8445675 x 8445852 (3969.7 MB) with weight 1134518868 (134.33/col)
  190. Wed Jun 29 10:15:03 2016 sparse part has weight 947718296 (112.21/col)
  191. Wed Jun 29 10:17:00 2016 matrix starts at (0, 0)
  192. Wed Jun 29 10:17:01 2016 matrix is 8445675 x 8445852 (3969.7 MB) with weight 1134518868 (134.33/col)
  193. Wed Jun 29 10:17:01 2016 sparse part has weight 947718296 (112.21/col)
  194. Wed Jun 29 10:17:01 2016 saving the first 48 matrix rows for later
  195. Wed Jun 29 10:17:03 2016 matrix includes 64 packed rows
  196. Wed Jun 29 10:17:03 2016 matrix is 8445627 x 8445852 (3796.9 MB) with weight 973968198 (115.32/col)
  197. Wed Jun 29 10:17:03 2016 sparse part has weight 910872092 (107.85/col)
  198. Wed Jun 29 10:17:03 2016 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  199. Wed Jun 29 10:18:00 2016 commencing Lanczos iteration (12 threads)
  200. Wed Jun 29 10:18:01 2016 memory use: 3226.3 MB
  201. Wed Jun 29 10:18:17 2016 linear algebra at 0.0%, ETA 23h13m
  202. Wed Jun 29 10:18:21 2016 checkpointing every 390000 dimensions
  203. Thu Jun 30 08:40:34 2016 lanczos halted after 133560 iterations (dim = 8445619)
  204. Thu Jun 30 08:40:46 2016 recovered 33 nontrivial dependencies
  205. Thu Jun 30 08:40:49 2016 BLanczosTime: 81616
  206. Thu Jun 30 08:40:49 2016
  207. Thu Jun 30 08:40:49 2016 commencing square root phase
  208. Thu Jun 30 08:40:49 2016 handling dependencies 1 to 64
  209. Thu Jun 30 08:40:49 2016 reading relations for dependency 1
  210. Thu Jun 30 08:40:50 2016 read 4221998 cycles
  211. Thu Jun 30 08:40:59 2016 cycles contain 14423078 unique relations
  212. Thu Jun 30 08:43:27 2016 read 14423078 relations
  213. Thu Jun 30 08:44:29 2016 multiplying 14423078 relations
  214. Thu Jun 30 08:53:42 2016 multiply complete, coefficients have about 459.85 million bits
  215. Thu Jun 30 08:53:45 2016 initial square root is modulo 178278151
  216. Thu Jun 30 09:03:53 2016 GCD is N, no factor found
  217. Thu Jun 30 09:03:54 2016 reading relations for dependency 2
  218. Thu Jun 30 09:03:56 2016 read 4225258 cycles
  219. Thu Jun 30 09:04:05 2016 cycles contain 14424072 unique relations
  220. Thu Jun 30 09:06:33 2016 read 14424072 relations
  221. Thu Jun 30 09:07:34 2016 multiplying 14424072 relations
  222. Thu Jun 30 09:16:47 2016 multiply complete, coefficients have about 459.88 million bits
  223. Thu Jun 30 09:16:50 2016 initial square root is modulo 178504171
  224. Thu Jun 30 09:26:58 2016 sqrtTime: 2769
  225. Thu Jun 30 09:27:00 2016 p59 factor: 34901193063921122430519368024866997679551840152385317492651
  226. Thu Jun 30 09:27:00 2016 p144 factor: 161347910770093880645840407121853412152588692168358202977805766877389556735241317464243054090881251993411675682356100392937699187893786666785611
  227. Thu Jun 30 09:27:00 2016 elapsed time 24:15:49
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