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Nov 9th, 2018
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  1. Thu Nov 08 22:00:54 2018
  2. Thu Nov 08 22:00:54 2018
  3. Thu Nov 08 22:00:54 2018 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Nov 08 22:00:54 2018 random seeds: 851af5a0 94350086
  5. Thu Nov 08 22:00:54 2018 factoring 7354739551459221255300095574985904918730650549192434057436557077055622486341541854304749204844237794843430598329362031754639333388124614048687377547005946482339053511535406218115999410941986198485937869504498081 (211 digits)
  6. Thu Nov 08 22:00:54 2018 searching for 15-digit factors
  7. Thu Nov 08 22:00:55 2018 commencing number field sieve (211-digit input)
  8. Thu Nov 08 22:00:55 2018 R0: 213838110544697635120700709764648162
  9. Thu Nov 08 22:00:55 2018 R1: -462426329856656881
  10. Thu Nov 08 22:00:55 2018 A0: -1
  11. Thu Nov 08 22:00:55 2018 A1: 3
  12. Thu Nov 08 22:00:55 2018 A2: 6
  13. Thu Nov 08 22:00:55 2018 A3: -4
  14. Thu Nov 08 22:00:55 2018 A4: -5
  15. Thu Nov 08 22:00:55 2018 A5: 1
  16. Thu Nov 08 22:00:55 2018 A6: 1
  17. Thu Nov 08 22:00:55 2018 skew 1.00, size 1.813e-010, alpha 3.126, combined = 5.006e-012 rroots = 6
  18. Thu Nov 08 22:00:55 2018
  19. Thu Nov 08 22:00:55 2018 commencing relation filtering
  20. Thu Nov 08 22:00:55 2018 setting target matrix density to 80.0
  21. Thu Nov 08 22:00:55 2018 estimated available RAM is 16335.3 MB
  22. Thu Nov 08 22:00:55 2018 commencing duplicate removal, pass 1
  23. Thu Nov 08 22:01:23 2018 error -9 reading relation 3170243
  24. Thu Nov 08 22:01:27 2018 error -5 reading relation 3686238
  25. Thu Nov 08 22:02:08 2018 error -9 reading relation 7938008
  26. Thu Nov 08 22:02:10 2018 error -1 reading relation 8170851
  27. Thu Nov 08 22:02:13 2018 error -5 reading relation 8531874
  28. Thu Nov 08 22:02:34 2018 error -9 reading relation 10739683
  29. Thu Nov 08 22:02:46 2018 error -5 reading relation 12022702
  30. Thu Nov 08 22:02:46 2018 error -9 reading relation 12090702
  31. Thu Nov 08 22:03:14 2018 error -9 reading relation 15249526
  32. Thu Nov 08 22:03:16 2018 error -15 reading relation 15440902
  33. Thu Nov 08 22:03:31 2018 error -9 reading relation 17120231
  34. Thu Nov 08 22:03:37 2018 error -15 reading relation 17706207
  35. Thu Nov 08 22:03:42 2018 error -15 reading relation 18246506
  36. Thu Nov 08 22:03:52 2018 error -9 reading relation 19357417
  37. Thu Nov 08 22:03:53 2018 error -1 reading relation 19508555
  38. Thu Nov 08 22:03:55 2018 error -9 reading relation 19699448
  39. Thu Nov 08 22:04:01 2018 error -9 reading relation 20275692
  40. Thu Nov 08 22:04:19 2018 error -9 reading relation 22221332
  41. Thu Nov 08 22:04:34 2018 error -9 reading relation 23926230
  42. Thu Nov 08 22:04:39 2018 error -15 reading relation 24572480
  43. Thu Nov 08 22:04:40 2018 error -9 reading relation 24639229
  44. Thu Nov 08 22:04:51 2018 error -1 reading relation 25927010
  45. Thu Nov 08 22:04:55 2018 error -15 reading relation 26475065
  46. Thu Nov 08 22:05:01 2018 error -15 reading relation 27183955
  47. Thu Nov 08 22:05:01 2018 error -9 reading relation 27189881
  48. Thu Nov 08 22:05:02 2018 error -15 reading relation 27199617
  49. Thu Nov 08 22:05:05 2018 error -15 reading relation 27558272
  50. Thu Nov 08 22:05:05 2018 error -5 reading relation 27605747
  51. Thu Nov 08 22:05:25 2018 error -15 reading relation 30006461
  52. Thu Nov 08 22:06:01 2018 error -1 reading relation 34131877
  53. Thu Nov 08 22:06:48 2018 error -5 reading relation 39469341
  54. Thu Nov 08 22:06:49 2018 error -5 reading relation 39541767
  55. Thu Nov 08 22:06:50 2018 error -1 reading relation 39692308
  56. Thu Nov 08 22:06:53 2018 error -15 reading relation 39998786
  57. Thu Nov 08 22:06:57 2018 error -9 reading relation 40360244
  58. Thu Nov 08 22:07:02 2018 error -9 reading relation 40892329
  59. Thu Nov 08 22:07:05 2018 error -9 reading relation 41227819
  60. Thu Nov 08 22:07:05 2018 error -15 reading relation 41266046
  61. Thu Nov 08 22:07:17 2018 error -1 reading relation 42582641
  62. Thu Nov 08 22:07:17 2018 error -1 reading relation 42593603
  63. Thu Nov 08 22:07:19 2018 error -1 reading relation 42783697
  64. Thu Nov 08 22:07:19 2018 error -1 reading relation 42826842
  65. Thu Nov 08 22:07:19 2018 error -9 reading relation 42864429
  66. Thu Nov 08 22:07:20 2018 error -15 reading relation 42963955
  67. Thu Nov 08 22:07:22 2018 error -9 reading relation 43162123
  68. Thu Nov 08 22:07:23 2018 error -5 reading relation 43314024
  69. Thu Nov 08 22:07:25 2018 error -9 reading relation 43475839
  70. Thu Nov 08 22:07:41 2018 error -9 reading relation 45349062
  71. Thu Nov 08 22:07:45 2018 error -5 reading relation 45816687
  72. Thu Nov 08 22:07:46 2018 error -15 reading relation 45853111
  73. Thu Nov 08 22:07:54 2018 error -1 reading relation 46854500
  74. Thu Nov 08 22:07:55 2018 error -9 reading relation 46960529
  75. Thu Nov 08 22:07:57 2018 error -9 reading relation 47162403
  76. Thu Nov 08 22:07:58 2018 error -9 reading relation 47248294
  77. Thu Nov 08 22:08:01 2018 error -1 reading relation 47669426
  78. Thu Nov 08 22:08:04 2018 error -9 reading relation 47944834
  79. Thu Nov 08 22:08:06 2018 error -15 reading relation 48226757
  80. Thu Nov 08 22:08:08 2018 error -5 reading relation 48426572
  81. Thu Nov 08 22:08:10 2018 error -9 reading relation 48543072
  82. Thu Nov 08 22:08:10 2018 error -15 reading relation 48610021
  83. Thu Nov 08 22:08:11 2018 error -15 reading relation 48674019
  84. Thu Nov 08 22:08:14 2018 error -15 reading relation 49084724
  85. Thu Nov 08 22:08:15 2018 error -9 reading relation 49208266
  86. Thu Nov 08 22:08:17 2018 error -9 reading relation 49329296
  87. Thu Nov 08 22:08:21 2018 error -5 reading relation 49816540
  88. Thu Nov 08 22:08:21 2018 error -15 reading relation 49894660
  89. Thu Nov 08 22:08:22 2018 error -15 reading relation 49971668
  90. Thu Nov 08 22:08:23 2018 error -1 reading relation 50064694
  91. Thu Nov 08 22:08:29 2018 error -9 reading relation 50711116
  92. Thu Nov 08 22:08:29 2018 error -15 reading relation 50750355
  93. Thu Nov 08 22:08:32 2018 error -9 reading relation 51072666
  94. Thu Nov 08 22:08:33 2018 error -5 reading relation 51153850
  95. Thu Nov 08 22:08:35 2018 error -5 reading relation 51346143
  96. Thu Nov 08 22:08:36 2018 error -9 reading relation 51489996
  97. Thu Nov 08 22:08:36 2018 error -9 reading relation 51502246
  98. Thu Nov 08 22:08:38 2018 error -9 reading relation 51662679
  99. Thu Nov 08 22:08:39 2018 error -1 reading relation 51815314
  100. Thu Nov 08 22:08:43 2018 error -9 reading relation 52285405
  101. Thu Nov 08 22:08:44 2018 error -15 reading relation 52416715
  102. Thu Nov 08 22:08:45 2018 error -9 reading relation 52482615
  103. Thu Nov 08 22:08:47 2018 error -9 reading relation 52744052
  104. Thu Nov 08 22:08:54 2018 error -9 reading relation 53520034
  105. Thu Nov 08 22:08:56 2018 error -9 reading relation 53801531
  106. Thu Nov 08 22:08:57 2018 error -9 reading relation 53868795
  107. Thu Nov 08 22:08:58 2018 error -1 reading relation 53982613
  108. Thu Nov 08 22:09:00 2018 error -9 reading relation 54194251
  109. Thu Nov 08 22:09:03 2018 error -15 reading relation 54550398
  110. Thu Nov 08 22:09:03 2018 error -5 reading relation 54623636
  111. Thu Nov 08 22:09:05 2018 error -9 reading relation 54842119
  112. Thu Nov 08 22:09:06 2018 error -9 reading relation 54897348
  113. Thu Nov 08 22:09:06 2018 error -15 reading relation 54930231
  114. Thu Nov 08 22:09:06 2018 error -5 reading relation 54936819
  115. Thu Nov 08 22:09:10 2018 error -1 reading relation 55347263
  116. Thu Nov 08 22:09:11 2018 error -9 reading relation 55522336
  117. Thu Nov 08 22:09:24 2018 error -9 reading relation 56989787
  118. Thu Nov 08 22:09:26 2018 error -9 reading relation 57283371
  119. Thu Nov 08 22:09:34 2018 error -15 reading relation 58135974
  120. Thu Nov 08 22:09:39 2018 skipped 2 relations with b > 2^32
  121. Thu Nov 08 22:09:39 2018 skipped 60 relations with composite factors
  122. Thu Nov 08 22:09:39 2018 found 8966132 hash collisions in 58732952 relations
  123. Thu Nov 08 22:09:48 2018 added 2438355 free relations
  124. Thu Nov 08 22:09:48 2018 commencing duplicate removal, pass 2
  125. Thu Nov 08 22:10:18 2018 found 7693018 duplicates and 53478289 unique relations
  126. Thu Nov 08 22:10:18 2018 memory use: 330.4 MB
  127. Thu Nov 08 22:10:18 2018 reading ideals above 720000
  128. Thu Nov 08 22:10:18 2018 commencing singleton removal, initial pass
  129. Thu Nov 08 22:17:32 2018 memory use: 1378.0 MB
  130. Thu Nov 08 22:17:32 2018 reading all ideals from disk
  131. Thu Nov 08 22:17:33 2018 memory use: 1901.1 MB
  132. Thu Nov 08 22:17:37 2018 keeping 47525639 ideals with weight <= 200, target excess is 275162
  133. Thu Nov 08 22:17:42 2018 commencing in-memory singleton removal
  134. Thu Nov 08 22:17:46 2018 begin with 53478289 relations and 47525639 unique ideals
  135. Thu Nov 08 22:18:28 2018 reduce to 36373229 relations and 28719701 ideals in 14 passes
  136. Thu Nov 08 22:18:28 2018 max relations containing the same ideal: 164
  137. Thu Nov 08 22:18:41 2018 removing 4460131 relations and 3460131 ideals in 1000000 cliques
  138. Thu Nov 08 22:18:43 2018 commencing in-memory singleton removal
  139. Thu Nov 08 22:18:45 2018 begin with 31913098 relations and 28719701 unique ideals
  140. Thu Nov 08 22:19:03 2018 reduce to 31356268 relations and 24683339 ideals in 8 passes
  141. Thu Nov 08 22:19:03 2018 max relations containing the same ideal: 147
  142. Thu Nov 08 22:19:15 2018 removing 3589549 relations and 2589549 ideals in 1000000 cliques
  143. Thu Nov 08 22:19:16 2018 commencing in-memory singleton removal
  144. Thu Nov 08 22:19:18 2018 begin with 27766719 relations and 24683339 unique ideals
  145. Thu Nov 08 22:19:34 2018 reduce to 27431953 relations and 21747910 ideals in 8 passes
  146. Thu Nov 08 22:19:34 2018 max relations containing the same ideal: 135
  147. Thu Nov 08 22:19:45 2018 removing 3255172 relations and 2255172 ideals in 1000000 cliques
  148. Thu Nov 08 22:19:46 2018 commencing in-memory singleton removal
  149. Thu Nov 08 22:19:47 2018 begin with 24176781 relations and 21747910 unique ideals
  150. Thu Nov 08 22:20:01 2018 reduce to 23881482 relations and 19187184 ideals in 8 passes
  151. Thu Nov 08 22:20:01 2018 max relations containing the same ideal: 125
  152. Thu Nov 08 22:20:11 2018 removing 3107451 relations and 2107451 ideals in 1000000 cliques
  153. Thu Nov 08 22:20:12 2018 commencing in-memory singleton removal
  154. Thu Nov 08 22:20:13 2018 begin with 20774031 relations and 19187184 unique ideals
  155. Thu Nov 08 22:20:23 2018 reduce to 20486338 relations and 16781086 ideals in 7 passes
  156. Thu Nov 08 22:20:23 2018 max relations containing the same ideal: 112
  157. Thu Nov 08 22:20:31 2018 removing 3019703 relations and 2019703 ideals in 1000000 cliques
  158. Thu Nov 08 22:20:32 2018 commencing in-memory singleton removal
  159. Thu Nov 08 22:20:33 2018 begin with 17466635 relations and 16781086 unique ideals
  160. Thu Nov 08 22:20:41 2018 reduce to 17170051 relations and 14451940 ideals in 7 passes
  161. Thu Nov 08 22:20:41 2018 max relations containing the same ideal: 96
  162. Thu Nov 08 22:20:48 2018 removing 2959296 relations and 1959296 ideals in 1000000 cliques
  163. Thu Nov 08 22:20:49 2018 commencing in-memory singleton removal
  164. Thu Nov 08 22:20:50 2018 begin with 14210755 relations and 14451940 unique ideals
  165. Thu Nov 08 22:20:57 2018 reduce to 13891718 relations and 12157344 ideals in 8 passes
  166. Thu Nov 08 22:20:59 2018 max relations containing the same ideal: 84
  167. Thu Nov 08 22:21:05 2018 removing 2901583 relations and 1901583 ideals in 1000000 cliques
  168. Thu Nov 08 22:21:05 2018 commencing in-memory singleton removal
  169. Thu Nov 08 22:21:06 2018 begin with 10990135 relations and 12157344 unique ideals
  170. Thu Nov 08 22:21:12 2018 reduce to 10633416 relations and 9876492 ideals in 8 passes
  171. Thu Nov 08 22:21:12 2018 max relations containing the same ideal: 69
  172. Thu Nov 08 22:21:16 2018 removing 1449061 relations and 1011325 ideals in 437736 cliques
  173. Thu Nov 08 22:21:16 2018 commencing in-memory singleton removal
  174. Thu Nov 08 22:21:17 2018 begin with 9184355 relations and 9876492 unique ideals
  175. Thu Nov 08 22:21:21 2018 reduce to 9051874 relations and 8727724 ideals in 7 passes
  176. Thu Nov 08 22:21:21 2018 max relations containing the same ideal: 62
  177. Thu Nov 08 22:21:26 2018 relations with 0 large ideals: 19914
  178. Thu Nov 08 22:21:26 2018 relations with 1 large ideals: 6741
  179. Thu Nov 08 22:21:26 2018 relations with 2 large ideals: 50737
  180. Thu Nov 08 22:21:26 2018 relations with 3 large ideals: 311719
  181. Thu Nov 08 22:21:26 2018 relations with 4 large ideals: 1037713
  182. Thu Nov 08 22:21:26 2018 relations with 5 large ideals: 2025139
  183. Thu Nov 08 22:21:26 2018 relations with 6 large ideals: 2415534
  184. Thu Nov 08 22:21:26 2018 relations with 7+ large ideals: 3184377
  185. Thu Nov 08 22:21:26 2018 commencing 2-way merge
  186. Thu Nov 08 22:21:31 2018 reduce to 6155284 relation sets and 5831134 unique ideals
  187. Thu Nov 08 22:21:31 2018 commencing full merge
  188. Thu Nov 08 22:23:04 2018 memory use: 789.6 MB
  189. Thu Nov 08 22:23:04 2018 found 3167760 cycles, need 3121334
  190. Thu Nov 08 22:23:05 2018 weight of 3121334 cycles is about 249975174 (80.09/cycle)
  191. Thu Nov 08 22:23:05 2018 distribution of cycle lengths:
  192. Thu Nov 08 22:23:05 2018 1 relations: 208244
  193. Thu Nov 08 22:23:05 2018 2 relations: 282298
  194. Thu Nov 08 22:23:05 2018 3 relations: 324120
  195. Thu Nov 08 22:23:05 2018 4 relations: 327953
  196. Thu Nov 08 22:23:05 2018 5 relations: 324579
  197. Thu Nov 08 22:23:05 2018 6 relations: 304940
  198. Thu Nov 08 22:23:05 2018 7 relations: 276936
  199. Thu Nov 08 22:23:05 2018 8 relations: 240386
  200. Thu Nov 08 22:23:05 2018 9 relations: 202035
  201. Thu Nov 08 22:23:05 2018 10+ relations: 629843
  202. Thu Nov 08 22:23:05 2018 heaviest cycle: 22 relations
  203. Thu Nov 08 22:23:05 2018 commencing cycle optimization
  204. Thu Nov 08 22:23:09 2018 start with 19926696 relations
  205. Thu Nov 08 22:23:40 2018 pruned 718153 relations
  206. Thu Nov 08 22:23:40 2018 memory use: 582.9 MB
  207. Thu Nov 08 22:23:40 2018 distribution of cycle lengths:
  208. Thu Nov 08 22:23:40 2018 1 relations: 208244
  209. Thu Nov 08 22:23:40 2018 2 relations: 288266
  210. Thu Nov 08 22:23:40 2018 3 relations: 337331
  211. Thu Nov 08 22:23:40 2018 4 relations: 340700
  212. Thu Nov 08 22:23:40 2018 5 relations: 339556
  213. Thu Nov 08 22:23:40 2018 6 relations: 316813
  214. Thu Nov 08 22:23:40 2018 7 relations: 287366
  215. Thu Nov 08 22:23:40 2018 8 relations: 245577
  216. Thu Nov 08 22:23:40 2018 9 relations: 203213
  217. Thu Nov 08 22:23:40 2018 10+ relations: 554268
  218. Thu Nov 08 22:23:40 2018 heaviest cycle: 22 relations
  219. Thu Nov 08 22:23:43 2018 RelProcTime: 1368
  220. Thu Nov 08 22:23:43 2018
  221. Thu Nov 08 22:23:43 2018 commencing linear algebra
  222. Thu Nov 08 22:23:43 2018 read 3121334 cycles
  223. Thu Nov 08 22:23:48 2018 cycles contain 8871761 unique relations
  224. Thu Nov 08 22:24:48 2018 read 8871761 relations
  225. Thu Nov 08 22:24:59 2018 using 20 quadratic characters above 4294917295
  226. Thu Nov 08 22:25:41 2018 building initial matrix
  227. Thu Nov 08 22:27:05 2018 memory use: 1093.3 MB
  228. Thu Nov 08 22:27:07 2018 read 3121334 cycles
  229. Thu Nov 08 22:27:07 2018 matrix is 3121156 x 3121334 (1028.1 MB) with weight 295100690 (94.54/col)
  230. Thu Nov 08 22:27:07 2018 sparse part has weight 238286252 (76.34/col)
  231. Thu Nov 08 22:27:32 2018 filtering completed in 2 passes
  232. Thu Nov 08 22:27:33 2018 matrix is 3120764 x 3120938 (1028.0 MB) with weight 295088351 (94.55/col)
  233. Thu Nov 08 22:27:33 2018 sparse part has weight 238280980 (76.35/col)
  234. Thu Nov 08 22:27:40 2018 matrix starts at (0, 0)
  235. Thu Nov 08 22:27:40 2018 matrix is 3120764 x 3120938 (1028.0 MB) with weight 295088351 (94.55/col)
  236. Thu Nov 08 22:27:40 2018 sparse part has weight 238280980 (76.35/col)
  237. Thu Nov 08 22:27:40 2018 saving the first 112 matrix rows for later
  238. Thu Nov 08 22:27:41 2018 matrix includes 128 packed rows
  239. Thu Nov 08 22:27:41 2018 matrix is 3120652 x 3120938 (960.3 MB) with weight 227016881 (72.74/col)
  240. Thu Nov 08 22:27:41 2018 sparse part has weight 214287904 (68.66/col)
  241. Thu Nov 08 22:27:41 2018 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  242. Thu Nov 08 22:27:50 2018 commencing Lanczos iteration (8 threads)
  243. Thu Nov 08 22:27:50 2018 memory use: 1123.4 MB
  244. Thu Nov 08 22:27:58 2018 linear algebra at 0.0%, ETA 4h32m
  245. Thu Nov 08 22:28:01 2018 checkpointing every 670000 dimensions
  246. Fri Nov 09 02:49:03 2018 lanczos halted after 24529 iterations (dim = 3120652)
  247. Fri Nov 09 02:49:11 2018 recovered 34 nontrivial dependencies
  248. Fri Nov 09 02:49:11 2018 BLanczosTime: 15928
  249. Fri Nov 09 02:49:11 2018
  250. Fri Nov 09 02:49:12 2018 commencing square root phase
  251. Fri Nov 09 02:49:12 2018 handling dependencies 1 to 64
  252. Fri Nov 09 02:49:12 2018 reading relations for dependency 1
  253. Fri Nov 09 02:49:12 2018 read 1560439 cycles
  254. Fri Nov 09 02:49:14 2018 cycles contain 4435106 unique relations
  255. Fri Nov 09 02:49:48 2018 read 4435106 relations
  256. Fri Nov 09 02:50:05 2018 multiplying 4435106 relations
  257. Fri Nov 09 02:52:42 2018 multiply complete, coefficients have about 105.66 million bits
  258. Fri Nov 09 02:52:43 2018 initial square root is modulo 38345621
  259. Fri Nov 09 02:55:41 2018 sqrtTime: 389
  260. Fri Nov 09 02:55:41 2018 p93 factor: 563336323994770201033062122761563301760570884062305621086397977398429996071395427718953300159
  261. Fri Nov 09 02:55:41 2018 p119 factor: 13055681372194809586347693208049578005676690803986682069690195263179909486170234470951129100238175649724587236406099359
  262. Fri Nov 09 02:55:41 2018 elapsed time 04:54:47
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