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May 12th, 2018
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  1. Mon May 7 13:55:19 2018
  2. Mon May 7 13:55:19 2018
  3. Mon May 7 13:55:19 2018 Msieve v. 1.54 (SVN Répertoire non versionné)
  4. Mon May 7 13:55:19 2018 random seeds: 5d1cbecc 0ed5aece
  5. Mon May 7 13:55:19 2018 factoring 4089263332701697228420882508540091644376703296896110065654534304762429217408281868997003856736486061414601297407906761033924522394503640489010010309240123916670020093505139954684990804807081022647041374780878312363529371 (220 digits)
  6. Mon May 7 13:55:20 2018 no P-1/P+1/ECM available, skipping
  7. Mon May 7 13:55:20 2018 commencing number field sieve (220-digit input)
  8. Mon May 7 13:55:20 2018 R0: -734698875038166561234010118059813976287841796875
  9. Mon May 7 13:55:20 2018 R1: 1789940649848551
  10. Mon May 7 13:55:20 2018 A0: 1500625
  11. Mon May 7 13:55:20 2018 A1: 0
  12. Mon May 7 13:55:20 2018 A2: 0
  13. Mon May 7 13:55:20 2018 A3: 0
  14. Mon May 7 13:55:20 2018 A4: 0
  15. Mon May 7 13:55:20 2018 A5: 1
  16. Mon May 7 13:55:20 2018 skew 17.19, size 6.883e-17, alpha 0.107, combined = 1.978e-13 rroots = 1
  17. Mon May 7 13:55:20 2018
  18. Mon May 7 13:55:20 2018 commencing relation filtering
  19. Mon May 7 13:55:20 2018 setting target matrix density to 90.0
  20. Mon May 7 13:55:20 2018 estimated available RAM is 7883.4 MB
  21. Mon May 7 13:55:20 2018 commencing duplicate removal, pass 1
  22.  
  23. [... snip errors reading relations ...]
  24.  
  25. Mon May 7 14:37:57 2018 skipped 7 relations with b > 2^32
  26. Mon May 7 14:37:57 2018 skipped 581 relations with composite factors
  27. Mon May 7 14:37:57 2018 found 51001423 hash collisions in 250665409 relations
  28. Mon May 7 14:38:34 2018 added 731650 free relations
  29. Mon May 7 14:38:34 2018 commencing duplicate removal, pass 2
  30. Mon May 7 14:44:10 2018 found 50624475 duplicates and 200772584 unique relations
  31. Mon May 7 14:44:10 2018 memory use: 1321.5 MB
  32. Mon May 7 14:44:10 2018 reading ideals above 189857792
  33. Mon May 7 14:44:10 2018 commencing singleton removal, initial pass
  34. Mon May 7 15:10:28 2018 memory use: 3012.0 MB
  35. Mon May 7 15:10:28 2018 reading all ideals from disk
  36. Mon May 7 15:11:04 2018 memory use: 3235.5 MB
  37. Mon May 7 15:11:13 2018 commencing in-memory singleton removal
  38. Mon May 7 15:11:20 2018 begin with 200772584 relations and 156161048 unique ideals
  39. Mon May 7 15:12:50 2018 reduce to 135786661 relations and 84984531 ideals in 13 passes
  40. Mon May 7 15:12:50 2018 max relations containing the same ideal: 36
  41. Mon May 7 15:12:59 2018 reading ideals above 720000
  42. Mon May 7 15:12:59 2018 commencing singleton removal, initial pass
  43. Mon May 7 15:37:06 2018 memory use: 2756.0 MB
  44. Mon May 7 15:37:06 2018 reading large ideals from disk
  45. Mon May 7 15:38:14 2018 keeping 94342465 ideals with weight <= 20, target excess is 11735220
  46. Mon May 7 15:39:27 2018 memory use: 3659.6 MB
  47. Mon May 7 15:39:27 2018 commencing in-memory singleton removal
  48. Mon May 7 15:39:31 2018 begin with 135786661 relations and 94342465 unique ideals
  49. Mon May 7 15:40:21 2018 reduce to 135746652 relations and 94302452 ideals in 8 passes
  50. Mon May 7 15:40:21 2018 max relations containing the same ideal: 20
  51. Mon May 7 15:40:55 2018 removing 9742110 relations and 7742110 ideals in 2000000 cliques
  52. Mon May 7 15:40:59 2018 commencing in-memory singleton removal
  53. Mon May 7 15:41:03 2018 begin with 126004542 relations and 94302452 unique ideals
  54. Mon May 7 15:41:48 2018 reduce to 125388222 relations and 85932560 ideals in 8 passes
  55. Mon May 7 15:41:48 2018 max relations containing the same ideal: 20
  56. Mon May 7 15:42:20 2018 removing 7439390 relations and 5439390 ideals in 2000000 cliques
  57. Mon May 7 15:42:23 2018 commencing in-memory singleton removal
  58. Mon May 7 15:42:27 2018 begin with 117948832 relations and 85932560 unique ideals
  59. Mon May 7 15:43:08 2018 reduce to 117532602 relations and 80069949 ideals in 8 passes
  60. Mon May 7 15:43:08 2018 max relations containing the same ideal: 20
  61. Mon May 7 15:43:38 2018 removing 6843416 relations and 4843416 ideals in 2000000 cliques
  62. Mon May 7 15:43:41 2018 commencing in-memory singleton removal
  63. Mon May 7 15:43:44 2018 begin with 110689186 relations and 80069949 unique ideals
  64. Mon May 7 15:44:17 2018 reduce to 110332562 relations and 74864121 ideals in 7 passes
  65. Mon May 7 15:44:17 2018 max relations containing the same ideal: 20
  66. Mon May 7 15:44:44 2018 removing 6496809 relations and 4496809 ideals in 2000000 cliques
  67. Mon May 7 15:44:47 2018 commencing in-memory singleton removal
  68. Mon May 7 15:44:50 2018 begin with 103835753 relations and 74864121 unique ideals
  69. Mon May 7 15:45:25 2018 reduce to 103496971 relations and 70022569 ideals in 8 passes
  70. Mon May 7 15:45:25 2018 max relations containing the same ideal: 20
  71. Mon May 7 15:45:50 2018 removing 6314361 relations and 4314361 ideals in 2000000 cliques
  72. Mon May 7 15:45:53 2018 commencing in-memory singleton removal
  73. Mon May 7 15:45:56 2018 begin with 97182610 relations and 70022569 unique ideals
  74. Mon May 7 15:46:24 2018 reduce to 96857355 relations and 65376998 ideals in 7 passes
  75. Mon May 7 15:46:24 2018 max relations containing the same ideal: 20
  76. Mon May 7 15:46:48 2018 removing 6187529 relations and 4187529 ideals in 2000000 cliques
  77. Mon May 7 15:46:51 2018 commencing in-memory singleton removal
  78. Mon May 7 15:46:54 2018 begin with 90669826 relations and 65376998 unique ideals
  79. Mon May 7 15:47:19 2018 reduce to 90349512 relations and 60863037 ideals in 7 passes
  80. Mon May 7 15:47:19 2018 max relations containing the same ideal: 20
  81. Mon May 7 15:47:42 2018 removing 6067772 relations and 4067772 ideals in 2000000 cliques
  82. Mon May 7 15:47:45 2018 commencing in-memory singleton removal
  83. Mon May 7 15:47:47 2018 begin with 84281740 relations and 60863037 unique ideals
  84. Mon May 7 15:48:11 2018 reduce to 83949404 relations and 56456011 ideals in 7 passes
  85. Mon May 7 15:48:11 2018 max relations containing the same ideal: 20
  86. Mon May 7 15:48:32 2018 removing 6012968 relations and 4012968 ideals in 2000000 cliques
  87. Mon May 7 15:48:35 2018 commencing in-memory singleton removal
  88. Mon May 7 15:48:37 2018 begin with 77936436 relations and 56456011 unique ideals
  89. Mon May 7 15:48:58 2018 reduce to 77609386 relations and 52108841 ideals in 7 passes
  90. Mon May 7 15:48:58 2018 max relations containing the same ideal: 20
  91. Mon May 7 15:49:18 2018 removing 5930816 relations and 3930816 ideals in 2000000 cliques
  92. Mon May 7 15:49:21 2018 commencing in-memory singleton removal
  93. Mon May 7 15:49:22 2018 begin with 71678570 relations and 52108841 unique ideals
  94. Mon May 7 15:49:45 2018 reduce to 71306646 relations and 47797078 ideals in 8 passes
  95. Mon May 7 15:49:45 2018 max relations containing the same ideal: 20
  96. Mon May 7 15:50:03 2018 removing 5938741 relations and 3938741 ideals in 2000000 cliques
  97. Mon May 7 15:50:05 2018 commencing in-memory singleton removal
  98. Mon May 7 15:50:07 2018 begin with 65367905 relations and 47797078 unique ideals
  99. Mon May 7 15:50:24 2018 reduce to 65002998 relations and 43483908 ideals in 7 passes
  100. Mon May 7 15:50:24 2018 max relations containing the same ideal: 20
  101. Mon May 7 15:50:41 2018 removing 5914179 relations and 3914179 ideals in 2000000 cliques
  102. Mon May 7 15:50:43 2018 commencing in-memory singleton removal
  103. Mon May 7 15:50:45 2018 begin with 59088819 relations and 43483908 unique ideals
  104. Mon May 7 15:51:02 2018 reduce to 58704573 relations and 39174714 ideals in 8 passes
  105. Mon May 7 15:51:02 2018 max relations containing the same ideal: 19
  106. Mon May 7 15:51:17 2018 removing 5849008 relations and 3849008 ideals in 2000000 cliques
  107. Mon May 7 15:51:19 2018 commencing in-memory singleton removal
  108. Mon May 7 15:51:21 2018 begin with 52855565 relations and 39174714 unique ideals
  109. Mon May 7 15:51:34 2018 reduce to 52395427 relations and 34850869 ideals in 7 passes
  110. Mon May 7 15:51:34 2018 max relations containing the same ideal: 19
  111. Mon May 7 15:51:48 2018 removing 5904835 relations and 3904835 ideals in 2000000 cliques
  112. Mon May 7 15:51:50 2018 commencing in-memory singleton removal
  113. Mon May 7 15:51:51 2018 begin with 46490592 relations and 34850869 unique ideals
  114. Mon May 7 15:52:04 2018 reduce to 45984763 relations and 30422238 ideals in 8 passes
  115. Mon May 7 15:52:04 2018 max relations containing the same ideal: 17
  116. Mon May 7 15:52:15 2018 removing 5764576 relations and 3814907 ideals in 1949669 cliques
  117. Mon May 7 15:52:17 2018 commencing in-memory singleton removal
  118. Mon May 7 15:52:18 2018 begin with 40220187 relations and 30422238 unique ideals
  119. Mon May 7 15:52:29 2018 reduce to 39647258 relations and 26011507 ideals in 8 passes
  120. Mon May 7 15:52:29 2018 max relations containing the same ideal: 17
  121. Mon May 7 15:52:39 2018 removing 84045 relations and 61150 ideals in 22895 cliques
  122. Mon May 7 15:52:40 2018 commencing in-memory singleton removal
  123. Mon May 7 15:52:41 2018 begin with 39563213 relations and 26011507 unique ideals
  124. Mon May 7 15:52:48 2018 reduce to 39562590 relations and 25949731 ideals in 5 passes
  125. Mon May 7 15:52:48 2018 max relations containing the same ideal: 17
  126. Mon May 7 15:52:50 2018 relations with 0 large ideals: 2734953
  127. Mon May 7 15:52:50 2018 relations with 1 large ideals: 10833625
  128. Mon May 7 15:52:50 2018 relations with 2 large ideals: 15029372
  129. Mon May 7 15:52:50 2018 relations with 3 large ideals: 8425011
  130. Mon May 7 15:52:50 2018 relations with 4 large ideals: 2145317
  131. Mon May 7 15:52:50 2018 relations with 5 large ideals: 351493
  132. Mon May 7 15:52:50 2018 relations with 6 large ideals: 41619
  133. Mon May 7 15:52:50 2018 relations with 7+ large ideals: 1200
  134. Mon May 7 15:52:50 2018 commencing 2-way merge
  135. Mon May 7 15:53:03 2018 reduce to 24952805 relation sets and 11339946 unique ideals
  136. Mon May 7 15:53:03 2018 commencing full merge
  137. Mon May 7 15:54:39 2018 memory use: 1127.0 MB
  138. Mon May 7 15:54:40 2018 found 13125268 cycles, need 11735420
  139. Mon May 7 15:54:44 2018 weight of 11735420 cycles is about 1051056578 (89.56/cycle)
  140. Mon May 7 15:54:45 2018 distribution of cycle lengths:
  141. Mon May 7 15:54:45 2018 1 relations: 2734953
  142. Mon May 7 15:54:45 2018 2 relations: 1190767
  143. Mon May 7 15:54:45 2018 3 relations: 873739
  144. Mon May 7 15:54:45 2018 4 relations: 738119
  145. Mon May 7 15:54:45 2018 5 relations: 678504
  146. Mon May 7 15:54:45 2018 6 relations: 632047
  147. Mon May 7 15:54:45 2018 7 relations: 599265
  148. Mon May 7 15:54:45 2018 8 relations: 562614
  149. Mon May 7 15:54:45 2018 9 relations: 530091
  150. Mon May 7 15:54:45 2018 10+ relations: 3195321
  151. Mon May 7 15:54:45 2018 heaviest cycle: 22 relations
  152. Mon May 7 15:54:45 2018 commencing cycle optimization
  153. Mon May 7 15:55:02 2018 start with 74375798 relations
  154. Mon May 7 15:56:50 2018 pruned 7906447 relations
  155. Mon May 7 15:56:50 2018 memory use: 2035.4 MB
  156. Mon May 7 15:56:50 2018 distribution of cycle lengths:
  157. Mon May 7 15:56:50 2018 1 relations: 2734953
  158. Mon May 7 15:56:50 2018 2 relations: 1240632
  159. Mon May 7 15:56:50 2018 3 relations: 939632
  160. Mon May 7 15:56:50 2018 4 relations: 812759
  161. Mon May 7 15:56:50 2018 5 relations: 771975
  162. Mon May 7 15:56:50 2018 6 relations: 736952
  163. Mon May 7 15:56:50 2018 7 relations: 713704
  164. Mon May 7 15:56:50 2018 8 relations: 669924
  165. Mon May 7 15:56:50 2018 9 relations: 623508
  166. Mon May 7 15:56:50 2018 10+ relations: 2491381
  167. Mon May 7 15:56:50 2018 heaviest cycle: 22 relations
  168. Mon May 7 15:57:06 2018 RelProcTime: 7306
  169. Mon May 7 15:57:10 2018
  170. Mon May 7 15:57:10 2018 commencing linear algebra
  171. Mon May 7 15:57:11 2018 read 11735420 cycles
  172. Mon May 7 15:57:29 2018 cycles contain 33158530 unique relations
  173. Mon May 7 16:04:48 2018 read 33158530 relations
  174. Mon May 7 16:05:42 2018 using 20 quadratic characters above 4294917295
  175. Mon May 7 16:08:32 2018 building initial matrix
  176. Mon May 7 16:14:29 2018 memory use: 4426.0 MB
  177. Mon May 7 16:15:20 2018 read 11735420 cycles
  178. Mon May 7 16:15:22 2018 matrix is 11733153 x 11735420 (3905.5 MB) with weight 1126899702 (96.03/col)
  179. Mon May 7 16:15:22 2018 sparse part has weight 894723376 (76.24/col)
  180. Mon May 7 16:30:13 2018
  181. Mon May 7 16:30:13 2018
  182. Mon May 7 16:30:13 2018 Msieve v. 1.54 (SVN Répertoire non versionné)
  183. Mon May 7 16:30:13 2018 random seeds: 3ef14f35 5ff4102f
  184. Mon May 7 16:30:13 2018 factoring 4089263332701697228420882508540091644376703296896110065654534304762429217408281868997003856736486061414601297407906761033924522394503640489010010309240123916670020093505139954684990804807081022647041374780878312363529371 (220 digits)
  185. Mon May 7 16:30:14 2018 no P-1/P+1/ECM available, skipping
  186. Mon May 7 16:30:14 2018 commencing number field sieve (220-digit input)
  187. Mon May 7 16:30:14 2018 R0: -734698875038166561234010118059813976287841796875
  188. Mon May 7 16:30:14 2018 R1: 1789940649848551
  189. Mon May 7 16:30:14 2018 A0: 1500625
  190. Mon May 7 16:30:14 2018 A1: 0
  191. Mon May 7 16:30:14 2018 A2: 0
  192. Mon May 7 16:30:14 2018 A3: 0
  193. Mon May 7 16:30:14 2018 A4: 0
  194. Mon May 7 16:30:14 2018 A5: 1
  195. Mon May 7 16:30:14 2018 skew 17.19, size 6.883e-17, alpha 0.107, combined = 1.978e-13 rroots = 1
  196. Mon May 7 16:30:14 2018
  197. Mon May 7 16:30:14 2018 commencing linear algebra
  198. Mon May 7 16:30:18 2018 read 11735420 cycles
  199. Mon May 7 16:30:34 2018 cycles contain 33158530 unique relations
  200. Mon May 7 16:37:49 2018 read 33158530 relations
  201. Mon May 7 16:38:37 2018 using 20 quadratic characters above 4294917295
  202. Mon May 7 16:41:29 2018 building initial matrix
  203. Mon May 7 16:47:28 2018 memory use: 4426.0 MB
  204. Mon May 7 16:47:50 2018 read 11735420 cycles
  205. Mon May 7 16:47:52 2018 matrix is 11733153 x 11735420 (3905.5 MB) with weight 1126899702 (96.03/col)
  206. Mon May 7 16:47:52 2018 sparse part has weight 894723376 (76.24/col)
  207. Mon May 7 16:51:01 2018 filtering completed in 3 passes
  208. Mon May 7 16:51:03 2018 matrix is 11683170 x 11683370 (3895.8 MB) with weight 1123948741 (96.20/col)
  209. Mon May 7 16:51:03 2018 sparse part has weight 892737730 (76.41/col)
  210. Mon May 7 16:52:43 2018 matrix starts at (0, 0)
  211. Mon May 7 16:52:44 2018 matrix is 11683170 x 11683370 (3895.8 MB) with weight 1123948741 (96.20/col)
  212. Mon May 7 16:52:44 2018 sparse part has weight 892737730 (76.41/col)
  213. Mon May 7 16:52:44 2018 saving the first 112 matrix rows for later
  214. Mon May 7 16:52:47 2018 matrix includes 128 packed rows
  215. Mon May 7 16:52:50 2018 matrix is 11683058 x 11683370 (3630.1 MB) with weight 856859729 (73.34/col)
  216. Mon May 7 16:52:50 2018 sparse part has weight 811408488 (69.45/col)
  217. Mon May 7 16:52:50 2018 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  218. Mon May 7 16:53:22 2018 commencing Lanczos iteration (4 threads)
  219. Mon May 7 16:53:23 2018 memory use: 4283.2 MB
  220. Mon May 7 16:54:17 2018 linear algebra at 0.0%, ETA 106h23m
  221. Mon May 7 16:54:34 2018 checkpointing every 110000 dimensions
  222. Fri May 11 23:53:24 2018 lanczos halted after 91823 iterations (dim = 11683052)
  223. Fri May 11 23:53:54 2018 recovered 35 nontrivial dependencies
  224. Fri May 11 23:53:58 2018 BLanczosTime: 372224
  225. Fri May 11 23:53:58 2018
  226. Fri May 11 23:53:58 2018 commencing square root phase
  227. Fri May 11 23:53:58 2018 reading relations for dependency 1
  228. Fri May 11 23:54:04 2018 read 5843146 cycles
  229. Fri May 11 23:54:13 2018 cycles contain 16560450 unique relations
  230. Sat May 12 00:00:17 2018 read 16560450 relations
  231. Sat May 12 00:01:36 2018 multiplying 16560450 relations
  232. Sat May 12 00:12:44 2018 multiply complete, coefficients have about 453.33 million bits
  233. Sat May 12 00:12:51 2018 initial square root is modulo 136217881
  234. Sat May 12 00:25:16 2018 GCD is N, no factor found
  235. Sat May 12 00:25:16 2018 reading relations for dependency 2
  236. Sat May 12 00:26:44 2018 read 5841899 cycles
  237. Sat May 12 00:27:11 2018 cycles contain 16551276 unique relations
  238. Sat May 12 00:33:07 2018 read 16551276 relations
  239. Sat May 12 00:34:24 2018 multiplying 16551276 relations
  240. Sat May 12 00:44:30 2018 multiply complete, coefficients have about 453.08 million bits
  241. Sat May 12 00:44:32 2018 initial square root is modulo 134813611
  242. Sat May 12 00:56:25 2018 GCD is N, no factor found
  243. Sat May 12 00:56:25 2018 reading relations for dependency 3
  244. Sat May 12 00:56:34 2018 read 5841589 cycles
  245. Sat May 12 00:56:42 2018 cycles contain 16551904 unique relations
  246. Sat May 12 01:02:29 2018 read 16551904 relations
  247. Sat May 12 01:03:44 2018 multiplying 16551904 relations
  248. Sat May 12 01:13:43 2018 multiply complete, coefficients have about 453.10 million bits
  249. Sat May 12 01:13:45 2018 initial square root is modulo 134904871
  250. Sat May 12 01:25:37 2018 sqrtTime: 5499
  251. Sat May 12 01:25:37 2018 p102 factor: 892309529766352697700913407860375037940463053764841940873698268273937914556722541214496381319637562663
  252. Sat May 12 01:25:37 2018 p118 factor: 4582785677266556526555427382379515938986723692586304520351604823442894406310291650794170759738091348011139188809700717
  253. Sat May 12 01:25:37 2018 elapsed time 104:55:24
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