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3690553_37m1

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Aug 22nd, 2019
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  1. Wed Aug 14 05:07:09 2019
  2. Wed Aug 14 05:07:09 2019
  3. Wed Aug 14 05:07:09 2019 Msieve v. 1.54 (SVN 1025)
  4. Wed Aug 14 05:07:09 2019 random seeds: c2dee932 3d9230ef
  5. Wed Aug 14 05:07:09 2019 factoring 11368619196060221620185321117307411882734901221359724916240917112048985565410008363989746065522648398192728802271590716325086077186955980478382270929772397451542975801443446421977573273089652988236123573302682499521 (215 digits)
  6. Wed Aug 14 05:07:10 2019 searching for 15-digit factors
  7. Wed Aug 14 05:07:10 2019 commencing number field sieve (215-digit input)
  8. Wed Aug 14 05:07:10 2019 R0: 2526670906333015836790184139079119610129
  9. Wed Aug 14 05:07:10 2019 R1: -1
  10. Wed Aug 14 05:07:10 2019 A0: -1
  11. Wed Aug 14 05:07:10 2019 A1: 0
  12. Wed Aug 14 05:07:10 2019 A2: 0
  13. Wed Aug 14 05:07:10 2019 A3: 0
  14. Wed Aug 14 05:07:10 2019 A4: 0
  15. Wed Aug 14 05:07:10 2019 A5: 0
  16. Wed Aug 14 05:07:10 2019 A6: 3690553
  17. Wed Aug 14 05:07:10 2019 skew 0.08, size 1.800e-12, alpha 0.284, combined = 1.888e-13 rroots = 2
  18. Wed Aug 14 05:07:10 2019
  19. Wed Aug 14 05:07:10 2019 commencing relation filtering
  20. Wed Aug 14 05:07:10 2019 setting target matrix density to 112.0
  21. Wed Aug 14 05:07:10 2019 estimated available RAM is 15984.7 MB
  22. Wed Aug 14 05:07:10 2019 commencing duplicate removal, pass 1
  23. Wed Aug 14 05:15:03 2019 error -15 reading relation 69958686
  24. Wed Aug 14 05:15:05 2019 error -15 reading relation 70240499
  25. Wed Aug 14 05:18:02 2019 error -1 reading relation 96329584
  26. Wed Aug 14 05:27:34 2019 error -6 reading relation 180118771
  27. Wed Aug 14 05:29:34 2019 skipped 5125 relations with b > 2^32
  28. Wed Aug 14 05:29:34 2019 skipped 2 relations with composite factors
  29. Wed Aug 14 05:29:34 2019 found 8483545 hash collisions in 196684930 relations
  30. Wed Aug 14 05:29:45 2019 commencing duplicate removal, pass 2
  31. Wed Aug 14 05:30:34 2019 found 3 duplicates and 196684927 unique relations
  32. Wed Aug 14 05:30:34 2019 memory use: 522.4 MB
  33. Wed Aug 14 05:30:34 2019 reading ideals above 134021120
  34. Wed Aug 14 05:30:34 2019 commencing singleton removal, initial pass
  35. Wed Aug 14 05:47:00 2019 memory use: 5512.0 MB
  36. Wed Aug 14 05:47:00 2019 reading all ideals from disk
  37. Wed Aug 14 05:47:06 2019 memory use: 3834.0 MB
  38. Wed Aug 14 05:47:12 2019 commencing in-memory singleton removal
  39. Wed Aug 14 05:47:17 2019 begin with 196684927 relations and 165610931 unique ideals
  40. Wed Aug 14 05:48:28 2019 reduce to 133693820 relations and 96749336 ideals in 15 passes
  41. Wed Aug 14 05:48:28 2019 max relations containing the same ideal: 39
  42. Wed Aug 14 05:48:33 2019 reading ideals above 720000
  43. Wed Aug 14 05:48:33 2019 commencing singleton removal, initial pass
  44. Wed Aug 14 06:02:23 2019 memory use: 3012.0 MB
  45. Wed Aug 14 06:02:23 2019 reading all ideals from disk
  46. Wed Aug 14 06:02:33 2019 memory use: 5315.9 MB
  47. Wed Aug 14 06:02:47 2019 keeping 111260140 ideals with weight <= 200, target excess is 676233
  48. Wed Aug 14 06:03:01 2019 commencing in-memory singleton removal
  49. Wed Aug 14 06:03:12 2019 begin with 133693820 relations and 111260140 unique ideals
  50. Wed Aug 14 06:04:14 2019 reduce to 133693685 relations and 111260005 ideals in 6 passes
  51. Wed Aug 14 06:04:14 2019 max relations containing the same ideal: 200
  52. Wed Aug 14 06:05:05 2019 removing 11128255 relations and 9128255 ideals in 2000000 cliques
  53. Wed Aug 14 06:05:08 2019 commencing in-memory singleton removal
  54. Wed Aug 14 06:05:18 2019 begin with 122565430 relations and 111260005 unique ideals
  55. Wed Aug 14 06:06:27 2019 reduce to 121800376 relations and 101351606 ideals in 7 passes
  56. Wed Aug 14 06:06:27 2019 max relations containing the same ideal: 197
  57. Wed Aug 14 06:07:13 2019 removing 8550813 relations and 6550813 ideals in 2000000 cliques
  58. Wed Aug 14 06:07:16 2019 commencing in-memory singleton removal
  59. Wed Aug 14 06:07:25 2019 begin with 113249563 relations and 101351606 unique ideals
  60. Wed Aug 14 06:08:35 2019 reduce to 112745139 relations and 94287562 ideals in 8 passes
  61. Wed Aug 14 06:08:35 2019 max relations containing the same ideal: 189
  62. Wed Aug 14 06:09:18 2019 removing 7769548 relations and 5769548 ideals in 2000000 cliques
  63. Wed Aug 14 06:09:20 2019 commencing in-memory singleton removal
  64. Wed Aug 14 06:09:28 2019 begin with 104975591 relations and 94287562 unique ideals
  65. Wed Aug 14 06:10:24 2019 reduce to 104529528 relations and 88064258 ideals in 7 passes
  66. Wed Aug 14 06:10:24 2019 max relations containing the same ideal: 179
  67. Wed Aug 14 06:11:04 2019 removing 7377492 relations and 5377492 ideals in 2000000 cliques
  68. Wed Aug 14 06:11:06 2019 commencing in-memory singleton removal
  69. Wed Aug 14 06:11:13 2019 begin with 97152036 relations and 88064258 unique ideals
  70. Wed Aug 14 06:11:59 2019 reduce to 96726890 relations and 82253955 ideals in 7 passes
  71. Wed Aug 14 06:11:59 2019 max relations containing the same ideal: 171
  72. Wed Aug 14 06:12:32 2019 removing 7140317 relations and 5140317 ideals in 2000000 cliques
  73. Wed Aug 14 06:12:34 2019 commencing in-memory singleton removal
  74. Wed Aug 14 06:12:39 2019 begin with 89586573 relations and 82253955 unique ideals
  75. Wed Aug 14 06:13:19 2019 reduce to 89168441 relations and 76687709 ideals in 7 passes
  76. Wed Aug 14 06:13:19 2019 max relations containing the same ideal: 164
  77. Wed Aug 14 06:13:47 2019 removing 6981520 relations and 4981520 ideals in 2000000 cliques
  78. Wed Aug 14 06:13:49 2019 commencing in-memory singleton removal
  79. Wed Aug 14 06:13:54 2019 begin with 82186921 relations and 76687709 unique ideals
  80. Wed Aug 14 06:14:27 2019 reduce to 81763406 relations and 71274324 ideals in 7 passes
  81. Wed Aug 14 06:14:27 2019 max relations containing the same ideal: 155
  82. Wed Aug 14 06:14:51 2019 removing 6872195 relations and 4872195 ideals in 2000000 cliques
  83. Wed Aug 14 06:14:53 2019 commencing in-memory singleton removal
  84. Wed Aug 14 06:14:57 2019 begin with 74891211 relations and 71274324 unique ideals
  85. Wed Aug 14 06:15:26 2019 reduce to 74454555 relations and 65956210 ideals in 7 passes
  86. Wed Aug 14 06:15:26 2019 max relations containing the same ideal: 144
  87. Wed Aug 14 06:15:48 2019 removing 6803317 relations and 4803317 ideals in 2000000 cliques
  88. Wed Aug 14 06:15:50 2019 commencing in-memory singleton removal
  89. Wed Aug 14 06:15:54 2019 begin with 67651238 relations and 65956210 unique ideals
  90. Wed Aug 14 06:16:23 2019 reduce to 67187549 relations and 60678362 ideals in 8 passes
  91. Wed Aug 14 06:16:23 2019 max relations containing the same ideal: 134
  92. Wed Aug 14 06:16:43 2019 removing 6763226 relations and 4763226 ideals in 2000000 cliques
  93. Wed Aug 14 06:16:45 2019 commencing in-memory singleton removal
  94. Wed Aug 14 06:16:48 2019 begin with 60424323 relations and 60678362 unique ideals
  95. Wed Aug 14 06:17:11 2019 reduce to 59918466 relations and 55396245 ideals in 7 passes
  96. Wed Aug 14 06:17:11 2019 max relations containing the same ideal: 125
  97. Wed Aug 14 06:17:29 2019 removing 6763876 relations and 4763876 ideals in 2000000 cliques
  98. Wed Aug 14 06:17:30 2019 commencing in-memory singleton removal
  99. Wed Aug 14 06:17:33 2019 begin with 53154590 relations and 55396245 unique ideals
  100. Wed Aug 14 06:17:56 2019 reduce to 52582439 relations and 50043671 ideals in 8 passes
  101. Wed Aug 14 06:17:56 2019 max relations containing the same ideal: 115
  102. Wed Aug 14 06:18:12 2019 removing 6122643 relations and 4368306 ideals in 1754337 cliques
  103. Wed Aug 14 06:18:13 2019 commencing in-memory singleton removal
  104. Wed Aug 14 06:18:16 2019 begin with 46459796 relations and 50043671 unique ideals
  105. Wed Aug 14 06:18:38 2019 reduce to 45914659 relations and 45114373 ideals in 9 passes
  106. Wed Aug 14 06:18:38 2019 max relations containing the same ideal: 106
  107. Wed Aug 14 06:18:52 2019 removing 118832 relations and 102977 ideals in 15855 cliques
  108. Wed Aug 14 06:18:53 2019 commencing in-memory singleton removal
  109. Wed Aug 14 06:18:55 2019 begin with 45795827 relations and 45114373 unique ideals
  110. Wed Aug 14 06:19:05 2019 reduce to 45795590 relations and 45011159 ideals in 4 passes
  111. Wed Aug 14 06:19:05 2019 max relations containing the same ideal: 106
  112. Wed Aug 14 06:19:13 2019 relations with 0 large ideals: 26078
  113. Wed Aug 14 06:19:13 2019 relations with 1 large ideals: 8328
  114. Wed Aug 14 06:19:13 2019 relations with 2 large ideals: 122427
  115. Wed Aug 14 06:19:13 2019 relations with 3 large ideals: 877030
  116. Wed Aug 14 06:19:13 2019 relations with 4 large ideals: 3418493
  117. Wed Aug 14 06:19:13 2019 relations with 5 large ideals: 8027592
  118. Wed Aug 14 06:19:13 2019 relations with 6 large ideals: 11874867
  119. Wed Aug 14 06:19:13 2019 relations with 7+ large ideals: 21440775
  120. Wed Aug 14 06:19:13 2019 commencing 2-way merge
  121. Wed Aug 14 06:19:31 2019 reduce to 30756110 relation sets and 29971679 unique ideals
  122. Wed Aug 14 06:19:31 2019 commencing full merge
  123. Wed Aug 14 06:27:41 2019 memory use: 3763.8 MB
  124. Wed Aug 14 06:27:44 2019 found 13943281 cycles, need 13901879
  125. Wed Aug 14 06:27:48 2019 weight of 13901879 cycles is about 1557091316 (112.01/cycle)
  126. Wed Aug 14 06:27:48 2019 distribution of cycle lengths:
  127. Wed Aug 14 06:27:48 2019 1 relations: 720947
  128. Wed Aug 14 06:27:48 2019 2 relations: 944188
  129. Wed Aug 14 06:27:48 2019 3 relations: 1085918
  130. Wed Aug 14 06:27:48 2019 4 relations: 1106985
  131. Wed Aug 14 06:27:48 2019 5 relations: 1112061
  132. Wed Aug 14 06:27:48 2019 6 relations: 1085122
  133. Wed Aug 14 06:27:48 2019 7 relations: 1036988
  134. Wed Aug 14 06:27:48 2019 8 relations: 973439
  135. Wed Aug 14 06:27:48 2019 9 relations: 896002
  136. Wed Aug 14 06:27:48 2019 10+ relations: 4940229
  137. Wed Aug 14 06:27:48 2019 heaviest cycle: 28 relations
  138. Wed Aug 14 06:27:51 2019 commencing cycle optimization
  139. Wed Aug 14 06:28:11 2019 start with 115064950 relations
  140. Wed Aug 14 06:31:17 2019 pruned 5024380 relations
  141. Wed Aug 14 06:31:17 2019 memory use: 3089.4 MB
  142. Wed Aug 14 06:31:17 2019 distribution of cycle lengths:
  143. Wed Aug 14 06:31:17 2019 1 relations: 720947
  144. Wed Aug 14 06:31:17 2019 2 relations: 968199
  145. Wed Aug 14 06:31:17 2019 3 relations: 1133603
  146. Wed Aug 14 06:31:17 2019 4 relations: 1153565
  147. Wed Aug 14 06:31:17 2019 5 relations: 1166861
  148. Wed Aug 14 06:31:17 2019 6 relations: 1134097
  149. Wed Aug 14 06:31:17 2019 7 relations: 1086130
  150. Wed Aug 14 06:31:17 2019 8 relations: 1012881
  151. Wed Aug 14 06:31:17 2019 9 relations: 928576
  152. Wed Aug 14 06:31:17 2019 10+ relations: 4597020
  153. Wed Aug 14 06:31:17 2019 heaviest cycle: 28 relations
  154. Wed Aug 14 06:31:41 2019 RelProcTime: 5071
  155. Wed Aug 14 06:31:41 2019
  156. Wed Aug 14 06:31:41 2019 commencing linear algebra
  157. Wed Aug 14 06:31:42 2019 read 13901879 cycles
  158. Wed Aug 14 06:32:03 2019 cycles contain 45349259 unique relations
  159. Wed Aug 14 06:35:28 2019 read 45349259 relations
  160. Wed Aug 14 06:36:32 2019 using 20 quadratic characters above 4294917295
  161. Wed Aug 14 06:39:07 2019 building initial matrix
  162. Wed Aug 14 06:45:52 2019 memory use: 5854.9 MB
  163. Wed Aug 14 06:45:57 2019 read 13901879 cycles
  164. Wed Aug 14 06:45:59 2019 matrix is 13901702 x 13901879 (6144.1 MB) with weight 1775788082 (127.74/col)
  165. Wed Aug 14 06:45:59 2019 sparse part has weight 1457729523 (104.86/col)
  166. Wed Aug 14 06:48:44 2019 filtering completed in 2 passes
  167. Wed Aug 14 06:48:46 2019 matrix is 13901299 x 13901476 (6144.1 MB) with weight 1775773500 (127.74/col)
  168. Wed Aug 14 06:48:46 2019 sparse part has weight 1457724240 (104.86/col)
  169. Wed Aug 14 06:49:17 2019 matrix starts at (0, 0)
  170. Wed Aug 14 06:49:19 2019 matrix is 13901299 x 13901476 (6144.1 MB) with weight 1775773500 (127.74/col)
  171. Wed Aug 14 06:49:19 2019 sparse part has weight 1457724240 (104.86/col)
  172. Wed Aug 14 06:49:19 2019 saving the first 48 matrix rows for later
  173. Wed Aug 14 06:49:21 2019 matrix includes 64 packed rows
  174. Wed Aug 14 06:49:23 2019 matrix is 13901251 x 13901476 (5906.2 MB) with weight 1516471053 (109.09/col)
  175. Wed Aug 14 06:49:23 2019 sparse part has weight 1409259930 (101.37/col)
  176. Wed Aug 14 06:49:23 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  177. Wed Aug 14 06:50:10 2019 commencing Lanczos iteration (4 threads)
  178. Wed Aug 14 06:50:10 2019 memory use: 5662.8 MB
  179. Wed Aug 14 06:51:09 2019 linear algebra at 0.0%, ETA 142h26m
  180. Wed Aug 14 06:51:28 2019 checkpointing every 100000 dimensions
  181. Mon Aug 19 04:19:06 2019
  182. Mon Aug 19 04:19:06 2019
  183. Mon Aug 19 04:19:06 2019 Msieve v. 1.54 (SVN 1025)
  184. Mon Aug 19 04:19:06 2019 random seeds: cc93261b c69b9b46
  185. Mon Aug 19 04:19:06 2019 factoring 11368619196060221620185321117307411882734901221359724916240917112048985565410008363989746065522648398192728802271590716325086077186955980478382270929772397451542975801443446421977573273089652988236123573302682499521 (215 digits)
  186. Mon Aug 19 04:19:07 2019 searching for 15-digit factors
  187. Mon Aug 19 04:19:07 2019 commencing number field sieve (215-digit input)
  188. Mon Aug 19 04:19:07 2019 R0: 2526670906333015836790184139079119610129
  189. Mon Aug 19 04:19:07 2019 R1: -1
  190. Mon Aug 19 04:19:07 2019 A0: -1
  191. Mon Aug 19 04:19:07 2019 A1: 0
  192. Mon Aug 19 04:19:07 2019 A2: 0
  193. Mon Aug 19 04:19:07 2019 A3: 0
  194. Mon Aug 19 04:19:07 2019 A4: 0
  195. Mon Aug 19 04:19:07 2019 A5: 0
  196. Mon Aug 19 04:19:07 2019 A6: 3690553
  197. Mon Aug 19 04:19:07 2019 skew 0.08, size 1.800e-12, alpha 0.284, combined = 1.888e-13 rroots = 2
  198. Mon Aug 19 04:19:07 2019
  199. Mon Aug 19 04:19:07 2019 commencing linear algebra
  200. Mon Aug 19 04:19:07 2019 skipping matrix build
  201. Mon Aug 19 04:19:21 2019 matrix starts at (0, 0)
  202. Mon Aug 19 04:19:23 2019 matrix is 13901299 x 13901476 (6144.1 MB) with weight 1775773500 (127.74/col)
  203. Mon Aug 19 04:19:23 2019 sparse part has weight 1457724240 (104.86/col)
  204. Mon Aug 19 04:19:23 2019 saving the first 48 matrix rows for later
  205. Mon Aug 19 04:19:25 2019 matrix includes 64 packed rows
  206. Mon Aug 19 04:19:27 2019 matrix is 13901251 x 13901476 (5906.2 MB) with weight 1516471053 (109.09/col)
  207. Mon Aug 19 04:19:27 2019 sparse part has weight 1409259930 (101.37/col)
  208. Mon Aug 19 04:19:27 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  209. Mon Aug 19 04:20:12 2019 commencing Lanczos iteration (4 threads)
  210. Mon Aug 19 04:20:12 2019 memory use: 5662.8 MB
  211. Mon Aug 19 04:20:12 2019 restarting at iteration 109112 (dim = 6900043)
  212. Mon Aug 19 04:21:10 2019 linear algebra at 49.6%, ETA 74h35m
  213. Mon Aug 19 04:21:30 2019 checkpointing every 100000 dimensions
  214. Wed Aug 21 13:03:24 2019
  215. Wed Aug 21 13:03:24 2019
  216. Wed Aug 21 13:03:24 2019 Msieve v. 1.54 (SVN 1025)
  217. Wed Aug 21 13:03:24 2019 random seeds: afce289c 4e34ee8d
  218. Wed Aug 21 13:03:24 2019 factoring 11368619196060221620185321117307411882734901221359724916240917112048985565410008363989746065522648398192728802271590716325086077186955980478382270929772397451542975801443446421977573273089652988236123573302682499521 (215 digits)
  219. Wed Aug 21 13:03:24 2019 searching for 15-digit factors
  220. Wed Aug 21 13:03:25 2019 commencing number field sieve (215-digit input)
  221. Wed Aug 21 13:03:25 2019 R0: 2526670906333015836790184139079119610129
  222. Wed Aug 21 13:03:25 2019 R1: -1
  223. Wed Aug 21 13:03:25 2019 A0: -1
  224. Wed Aug 21 13:03:25 2019 A1: 0
  225. Wed Aug 21 13:03:25 2019 A2: 0
  226. Wed Aug 21 13:03:25 2019 A3: 0
  227. Wed Aug 21 13:03:25 2019 A4: 0
  228. Wed Aug 21 13:03:25 2019 A5: 0
  229. Wed Aug 21 13:03:25 2019 A6: 3690553
  230. Wed Aug 21 13:03:25 2019 skew 0.08, size 1.800e-12, alpha 0.284, combined = 1.888e-13 rroots = 2
  231. Wed Aug 21 13:03:25 2019
  232. Wed Aug 21 13:03:25 2019 commencing linear algebra
  233. Wed Aug 21 13:03:25 2019 skipping matrix build
  234. Wed Aug 21 13:03:39 2019 matrix starts at (0, 0)
  235. Wed Aug 21 13:03:41 2019 matrix is 13901299 x 13901476 (6144.1 MB) with weight 1775773500 (127.74/col)
  236. Wed Aug 21 13:03:41 2019 sparse part has weight 1457724240 (104.86/col)
  237. Wed Aug 21 13:03:41 2019 saving the first 48 matrix rows for later
  238. Wed Aug 21 13:03:43 2019 matrix includes 64 packed rows
  239. Wed Aug 21 13:03:45 2019 matrix is 13901251 x 13901476 (5906.2 MB) with weight 1516471053 (109.09/col)
  240. Wed Aug 21 13:03:45 2019 sparse part has weight 1409259930 (101.37/col)
  241. Wed Aug 21 13:03:45 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  242. Wed Aug 21 13:04:32 2019 commencing Lanczos iteration (4 threads)
  243. Wed Aug 21 13:04:32 2019 memory use: 5662.8 MB
  244. Wed Aug 21 13:04:33 2019 restarting at iteration 180275 (dim = 11400017)
  245. Wed Aug 21 13:05:44 2019 linear algebra at 82.0%, ETA 32h33m
  246. Wed Aug 21 13:06:09 2019 checkpointing every 80000 dimensions
  247. Thu Aug 22 12:54:24 2019 lanczos halted after 219831 iterations (dim = 13901249)
  248. Thu Aug 22 12:54:46 2019 recovered 35 nontrivial dependencies
  249. Thu Aug 22 12:54:46 2019 BLanczosTime: 85881
  250. Thu Aug 22 12:54:46 2019
  251. Thu Aug 22 12:54:46 2019 commencing square root phase
  252. Thu Aug 22 12:54:46 2019 handling dependencies 1 to 64
  253. Thu Aug 22 12:54:46 2019 reading relations for dependency 1
  254. Thu Aug 22 12:54:47 2019 read 6952241 cycles
  255. Thu Aug 22 12:54:57 2019 cycles contain 22679180 unique relations
  256. Thu Aug 22 12:56:50 2019 read 22679180 relations
  257. Thu Aug 22 12:58:05 2019 multiplying 22679180 relations
  258. Thu Aug 22 13:23:27 2019 multiply complete, coefficients have about 1022.93 million bits
  259. Thu Aug 22 13:23:31 2019 initial square root is modulo 1503696877
  260. Thu Aug 22 13:49:50 2019 sqrtTime: 3304
  261. Thu Aug 22 13:49:50 2019 p65 factor: 90143964811648595020667948637001705406606317671083249607021443359
  262. Thu Aug 22 13:49:50 2019 p150 factor: 126116254369489907853615825832121181862240687819798160833324854760821143723065285118681746321361074180102277424405570016509523089461260486161108652319
  263. Thu Aug 22 13:49:50 2019 elapsed time 24:46:26
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