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  1. hu Mar  5 07:27:17 2020  
  2. Thu Mar  5 07:27:17 2020  
  3. Thu Mar  5 07:27:17 2020  Msieve v. 1.53 (SVN unknown)
  4. Thu Mar  5 07:27:17 2020  random seeds: 617acdd8 2d38dd2c
  5. Thu Mar  5 07:27:17 2020  factoring 94420139467637500224478383599378507991846836723905113101918477049892456378298354381426461323944038382124862986236175668783881845549480258858039966859045806372034404017498853948058021599927558856491049679181583434337171715291 (224 digits)
  6. Thu Mar  5 07:27:18 2020  searching for 15-digit factors
  7. Thu Mar  5 07:27:19 2020  commencing number field sieve (224-digit input)
  8. Thu Mar  5 07:27:19 2020  R0: 2909321189362570808630465826492242446680483
  9. Thu Mar  5 07:27:19 2020  R1: -1
  10. Thu Mar  5 07:27:19 2020  A0: 1
  11. Thu Mar  5 07:27:19 2020  A1: 0
  12. Thu Mar  5 07:27:19 2020  A2: 0
  13. Thu Mar  5 07:27:19 2020  A3: 0
  14. Thu Mar  5 07:27:19 2020  A4: 0
  15. Thu Mar  5 07:27:19 2020  A5: 0
  16. Thu Mar  5 07:27:19 2020  A6: 1605
  17. Thu Mar  5 07:27:19 2020  skew 0.29, size 4.187e-13, alpha 2.499, combined = 6.358e-14 rroots = 0
  18. Thu Mar  5 07:27:19 2020  
  19. Thu Mar  5 07:27:19 2020  commencing relation filtering
  20. Thu Mar  5 07:27:19 2020  estimated available RAM is 32721.3 MB
  21. Thu Mar  5 07:27:19 2020  commencing duplicate removal, pass 1
  22. Thu Mar  5 07:28:21 2020  error -9 reading relation 4461130
  23. Thu Mar  5 07:28:44 2020  error -5 reading relation 6099650
  24. Thu Mar  5 07:30:23 2020  error -5 reading relation 13299352
  25. Thu Mar  5 07:31:06 2020  error -9 reading relation 16373883
  26. Thu Mar  5 07:31:07 2020  error -9 reading relation 16446052
  27. Thu Mar  5 07:31:55 2020  error -9 reading relation 19909387
  28. Thu Mar  5 09:17:25 2020  error -15 reading relation 469618096
  29. Thu Mar  5 09:17:25 2020  error -15 reading relation 469633393
  30. Thu Mar  5 09:17:25 2020  error -9 reading relation 469636044
  31. Thu Mar  5 09:17:26 2020  error -15 reading relation 469668242
  32. Thu Mar  5 09:17:27 2020  skipped 4386 relations with b > 2^32
  33. Thu Mar  5 09:17:27 2020  skipped 4337 relations with composite factors
  34. Thu Mar  5 09:17:27 2020  found 114815913 hash collisions in 469732352 relations
  35. Thu Mar  5 09:17:56 2020  added 1218228 free relations
  36. Thu Mar  5 09:17:56 2020  commencing duplicate removal, pass 2
  37. Thu Mar  5 09:26:39 2020  found 114200563 duplicates and 356750017 unique relations
  38. Thu Mar  5 09:26:39 2020  memory use: 2643.0 MB
  39. Thu Mar  5 09:26:40 2020  reading ideals above 419758080
  40. Thu Mar  5 09:26:40 2020  commencing singleton removal, initial pass
  41. Thu Mar  5 10:27:45 2020  memory use: 6024.0 MB
  42. Thu Mar  5 10:27:45 2020  reading all ideals from disk
  43. Thu Mar  5 10:28:27 2020  memory use: 5968.1 MB
  44. Thu Mar  5 10:28:42 2020  commencing in-memory singleton removal
  45. Thu Mar  5 10:28:57 2020  begin with 356750017 relations and 299170632 unique ideals
  46. Thu Mar  5 10:32:23 2020  reduce to 224115391 relations and 152565757 ideals in 20 passes
  47. Thu Mar  5 10:32:23 2020  max relations containing the same ideal: 30
  48. Thu Mar  5 10:32:42 2020  reading ideals above 720000
  49. Thu Mar  5 10:32:43 2020  commencing singleton removal, initial pass
  50. Thu Mar  5 11:20:50 2020  memory use: 5512.0 MB
  51. Thu Mar  5 11:20:50 2020  reading all ideals from disk
  52. Thu Mar  5 11:22:05 2020  memory use: 9304.7 MB
  53. Thu Mar  5 11:22:35 2020  keeping 196103386 ideals with weight <= 200, target excess is 1103104
  54. Thu Mar  5 11:23:11 2020  commencing in-memory singleton removal
  55. Thu Mar  5 11:23:36 2020  begin with 224115391 relations and 196103386 unique ideals
  56. Thu Mar  5 11:27:47 2020  reduce to 224009628 relations and 195997613 ideals in 10 passes
  57. Thu Mar  5 11:27:47 2020  max relations containing the same ideal: 200
  58. Thu Mar  5 11:29:49 2020  removing 14804733 relations and 12804733 ideals in 2000000 cliques
  59. Thu Mar  5 11:29:56 2020  commencing in-memory singleton removal
  60. Thu Mar  5 11:30:20 2020  begin with 209204895 relations and 195997613 unique ideals
  61. Thu Mar  5 11:33:48 2020  reduce to 208387255 relations and 182364853 ideals in 9 passes
  62. Thu Mar  5 11:33:48 2020  max relations containing the same ideal: 199
  63. Thu Mar  5 11:35:43 2020  removing 11126761 relations and 9126761 ideals in 2000000 cliques
  64. Thu Mar  5 11:35:48 2020  commencing in-memory singleton removal
  65. Thu Mar  5 11:36:10 2020  begin with 197260494 relations and 182364853 unique ideals
  66. Thu Mar  5 11:39:02 2020  reduce to 196751323 relations and 172723535 ideals in 8 passes
  67. Thu Mar  5 11:39:02 2020  max relations containing the same ideal: 195
  68. Thu Mar  5 11:40:50 2020  removing 9980142 relations and 7980142 ideals in 2000000 cliques
  69. Thu Mar  5 11:40:55 2020  commencing in-memory singleton removal
  70. Thu Mar  5 11:41:16 2020  begin with 186771181 relations and 172723535 unique ideals
  71. Thu Mar  5 11:43:40 2020  reduce to 186336785 relations and 164304557 ideals in 7 passes
  72. Thu Mar  5 11:43:40 2020  max relations containing the same ideal: 187
  73. Thu Mar  5 11:45:23 2020  removing 9365170 relations and 7365170 ideals in 2000000 cliques
  74. Thu Mar  5 11:45:27 2020  commencing in-memory singleton removal
  75. Thu Mar  5 11:45:46 2020  begin with 176971615 relations and 164304557 unique ideals
  76. Thu Mar  5 11:48:22 2020  reduce to 176568993 relations and 156532589 ideals in 8 passes
  77. Thu Mar  5 11:48:22 2020  max relations containing the same ideal: 180
  78. Thu Mar  5 11:49:57 2020  removing 8967968 relations and 6967968 ideals in 2000000 cliques
  79. Thu Mar  5 11:50:01 2020  commencing in-memory singleton removal
  80. Thu Mar  5 11:50:18 2020  begin with 167601025 relations and 156532589 unique ideals
  81. Thu Mar  5 11:53:24 2020  reduce to 167214948 relations and 149174446 ideals in 10 passes
  82. Thu Mar  5 11:53:24 2020  max relations containing the same ideal: 177
  83. Thu Mar  5 11:54:57 2020  removing 8694964 relations and 6694964 ideals in 2000000 cliques
  84. Thu Mar  5 11:55:01 2020  commencing in-memory singleton removal
  85. Thu Mar  5 11:55:19 2020  begin with 158519984 relations and 149174446 unique ideals
  86. Thu Mar  5 11:57:21 2020  reduce to 158141217 relations and 142096562 ideals in 7 passes
  87. Thu Mar  5 11:57:21 2020  max relations containing the same ideal: 168
  88. Thu Mar  5 11:58:51 2020  removing 8496192 relations and 6496192 ideals in 2000000 cliques
  89. Thu Mar  5 11:58:55 2020  commencing in-memory singleton removal
  90. Thu Mar  5 11:59:12 2020  begin with 149645025 relations and 142096562 unique ideals
  91. Thu Mar  5 12:01:21 2020  reduce to 149266636 relations and 135217645 ideals in 8 passes
  92. Thu Mar  5 12:01:21 2020  max relations containing the same ideal: 163
  93. Thu Mar  5 12:02:45 2020  removing 8347430 relations and 6347430 ideals in 2000000 cliques
  94. Thu Mar  5 12:02:48 2020  commencing in-memory singleton removal
  95. Thu Mar  5 12:03:04 2020  begin with 140919206 relations and 135217645 unique ideals
  96. Thu Mar  5 12:04:50 2020  reduce to 140536945 relations and 128483368 ideals in 7 passes
  97. Thu Mar  5 12:04:50 2020  max relations containing the same ideal: 158
  98. Thu Mar  5 12:06:07 2020  removing 8245089 relations and 6245089 ideals in 2000000 cliques
  99. Thu Mar  5 12:06:10 2020  commencing in-memory singleton removal
  100. Thu Mar  5 12:06:25 2020  begin with 132291856 relations and 128483368 unique ideals
  101. Thu Mar  5 12:08:01 2020  reduce to 131899427 relations and 121840686 ideals in 7 passes
  102. Thu Mar  5 12:08:01 2020  max relations containing the same ideal: 150
  103. Thu Mar  5 12:09:16 2020  removing 8172542 relations and 6172542 ideals in 2000000 cliques
  104. Thu Mar  5 12:09:19 2020  commencing in-memory singleton removal
  105. Thu Mar  5 12:09:32 2020  begin with 123726885 relations and 121840686 unique ideals
  106. Thu Mar  5 12:11:17 2020  reduce to 123319823 relations and 115255510 ideals in 8 passes
  107. Thu Mar  5 12:11:17 2020  max relations containing the same ideal: 144
  108. Thu Mar  5 12:12:28 2020  removing 8124115 relations and 6124115 ideals in 2000000 cliques
  109. Thu Mar  5 12:12:32 2020  commencing in-memory singleton removal
  110. Thu Mar  5 12:12:44 2020  begin with 115195708 relations and 115255510 unique ideals
  111. Thu Mar  5 12:14:23 2020  reduce to 114767804 relations and 108697475 ideals in 8 passes
  112. Thu Mar  5 12:14:23 2020  max relations containing the same ideal: 139
  113. Thu Mar  5 12:15:26 2020  removing 8096595 relations and 6096595 ideals in 2000000 cliques
  114. Thu Mar  5 12:15:29 2020  commencing in-memory singleton removal
  115. Thu Mar  5 12:15:40 2020  begin with 106671209 relations and 108697475 unique ideals
  116. Thu Mar  5 12:17:10 2020  reduce to 106212667 relations and 102135412 ideals in 8 passes
  117. Thu Mar  5 12:17:10 2020  max relations containing the same ideal: 131
  118. Thu Mar  5 12:18:09 2020  removing 8106680 relations and 6106680 ideals in 2000000 cliques
  119. Thu Mar  5 12:18:12 2020  commencing in-memory singleton removal
  120. Thu Mar  5 12:18:22 2020  begin with 98105987 relations and 102135412 unique ideals
  121. Thu Mar  5 12:19:45 2020  reduce to 97609220 relations and 95524093 ideals in 8 passes
  122. Thu Mar  5 12:19:45 2020  max relations containing the same ideal: 124
  123. Thu Mar  5 12:20:40 2020  removing 3914370 relations and 3108844 ideals in 805526 cliques
  124. Thu Mar  5 12:20:42 2020  commencing in-memory singleton removal
  125. Thu Mar  5 12:20:52 2020  begin with 93694850 relations and 95524093 unique ideals
  126. Thu Mar  5 12:21:59 2020  reduce to 93577942 relations and 92297520 ideals in 7 passes
  127. Thu Mar  5 12:21:59 2020  max relations containing the same ideal: 120
  128. Thu Mar  5 12:23:08 2020  relations with 0 large ideals: 42361
  129. Thu Mar  5 12:23:08 2020  relations with 1 large ideals: 13133
  130. Thu Mar  5 12:23:08 2020  relations with 2 large ideals: 198336
  131. Thu Mar  5 12:23:08 2020  relations with 3 large ideals: 1467975
  132. Thu Mar  5 12:23:08 2020  relations with 4 large ideals: 6014325
  133. Thu Mar  5 12:23:08 2020  relations with 5 large ideals: 14951556
  134. Thu Mar  5 12:23:08 2020  relations with 6 large ideals: 23566378
  135. Thu Mar  5 12:23:08 2020  relations with 7+ large ideals: 47323878
  136. Thu Mar  5 12:23:08 2020  commencing 2-way merge
  137. Thu Mar  5 12:24:23 2020  reduce to 61484149 relation sets and 60203727 unique ideals
  138. Thu Mar  5 12:24:23 2020  commencing full merge
  139. Thu Mar  5 12:43:40 2020  memory use: 7075.0 MB
  140. Thu Mar  5 12:43:50 2020  found 33116412 cycles, need 32939927
  141. Thu Mar  5 12:43:53 2020  weight of 32939927 cycles is about 2305891873 (70.00/cycle)
  142. Thu Mar  5 12:43:53 2020  distribution of cycle lengths:
  143. Thu Mar  5 12:43:53 2020  1 relations: 4229600
  144. Thu Mar  5 12:43:53 2020  2 relations: 4225561
  145. Thu Mar  5 12:43:53 2020  3 relations: 4180938
  146. Thu Mar  5 12:43:53 2020  4 relations: 3801498
  147. Thu Mar  5 12:43:53 2020  5 relations: 3386465
  148. Thu Mar  5 12:43:53 2020  6 relations: 2980464
  149. Thu Mar  5 12:43:53 2020  7 relations: 2554262
  150. Thu Mar  5 12:43:53 2020  8 relations: 2100752
  151. Thu Mar  5 12:43:53 2020  9 relations: 1655041
  152. Thu Mar  5 12:43:53 2020  10+ relations: 3825346
  153. Thu Mar  5 12:43:53 2020  heaviest cycle: 20 relations
  154. Thu Mar  5 12:44:01 2020  commencing cycle optimization
  155. Thu Mar  5 12:44:43 2020  start with 169281205 relations
  156. Thu Mar  5 12:49:56 2020  pruned 3895060 relations
  157. Thu Mar  5 12:49:56 2020  memory use: 5609.5 MB
  158. Thu Mar  5 12:49:57 2020  distribution of cycle lengths:
  159. Thu Mar  5 12:49:57 2020  1 relations: 4229600
  160. Thu Mar  5 12:49:57 2020  2 relations: 4309684
  161. Thu Mar  5 12:49:57 2020  3 relations: 4321656
  162. Thu Mar  5 12:49:57 2020  4 relations: 3888950
  163. Thu Mar  5 12:49:57 2020  5 relations: 3467580
  164. Thu Mar  5 12:49:57 2020  6 relations: 3023916
  165. Thu Mar  5 12:49:57 2020  7 relations: 2573684
  166. Thu Mar  5 12:49:57 2020  8 relations: 2085252
  167. Thu Mar  5 12:49:57 2020  9 relations: 1619205
  168. Thu Mar  5 12:49:57 2020  10+ relations: 3420400
  169. Thu Mar  5 12:49:57 2020  heaviest cycle: 19 relations
  170. Thu Mar  5 12:52:24 2020  RelProcTime: 19505
  171. Thu Mar  5 12:52:24 2020  
  172. Thu Mar  5 12:52:24 2020  commencing linear algebra
  173. Thu Mar  5 12:52:29 2020  read 32939927 cycles
  174. Thu Mar  5 12:53:23 2020  cycles contain 92809700 unique relations
  175. Thu Mar  5 13:09:22 2020  read 92809700 relations
  176. Thu Mar  5 13:12:45 2020  using 20 quadratic characters above 4294917295
  177. Thu Mar  5 13:19:11 2020  building initial matrix
  178. Thu Mar  5 13:34:12 2020  memory use: 11693.5 MB
  179. Thu Mar  5 13:34:41 2020  read 32939927 cycles
  180. Thu Mar  5 13:34:50 2020  matrix is 32939750 x 32939927 (9790.9 MB) with weight 2834910174 (86.06/col)
  181. Thu Mar  5 13:34:50 2020  sparse part has weight 2237217484 (67.92/col)
  182. Thu Mar  5 13:41:34 2020  filtering completed in 2 passes
  183. Thu Mar  5 13:41:43 2020  matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col)
  184. Thu Mar  5 13:41:43 2020  sparse part has weight 2237178568 (67.93/col)
  185. Thu Mar  5 13:44:14 2020  matrix starts at (0, 0)
  186. Thu Mar  5 13:44:22 2020  matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col)
  187. Thu Mar  5 13:44:22 2020  sparse part has weight 2237178568 (67.93/col)
  188. Thu Mar  5 13:44:22 2020  saving the first 48 matrix rows for later
  189. Thu Mar  5 13:44:30 2020  matrix includes 64 packed rows
  190. Thu Mar  5 13:44:35 2020  matrix is 32932221 x 32932446 (9437.1 MB) with weight 2277457855 (69.16/col)
  191. Thu Mar  5 13:44:35 2020  sparse part has weight 2144554633 (65.12/col)
  192. Thu Mar  5 13:44:35 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  193. Thu Mar  5 13:48:06 2020  commencing Lanczos iteration (6 threads)
  194. Thu Mar  5 13:48:06 2020  memory use: 8106.9 MB
  195. Thu Mar  5 13:51:25 2020  linear algebra at 0.0%, ETA 1147h12m
  196. Thu Mar  5 13:52:28 2020  checkpointing every 30000 dimensions
  197. Sat Apr 18 12:47:10 2020  lanczos halted after 478297 iterations (dim = 30245349)
  198. Sat Apr 18 12:48:08 2020  BLanczosTime: 3797744
  199. Sat Apr 18 12:48:08 2020  
  200. Sat Apr 18 12:48:08 2020  commencing square root phase
  201. Sat Apr 18 12:48:08 2020  handling dependencies 1 to 64
  202. Sat Apr 18 12:48:08 2020  reading relations for dependency 1
  203. Sat Apr 18 12:48:08 2020  error: read_cycles can't open dependency file
  204. Sat Apr 18 13:34:22 2020  
  205. Sat Apr 18 13:34:23 2020  
  206. Sat Apr 18 13:34:23 2020  Msieve v. 1.53 (SVN unknown)
  207. Sat Apr 18 13:34:23 2020  random seeds: 455614f8 be777692
  208. Sat Apr 18 13:34:23 2020  factoring 94420139467637500224478383599378507991846836723905113101918477049892456378298354381426461323944038382124862986236175668783881845549480258858039966859045806372034404017498853948058021599927558856491049679181583434337171715291 (224 digits)
  209. Sat Apr 18 13:34:24 2020  searching for 15-digit factors
  210. Sat Apr 18 13:34:25 2020  commencing number field sieve (224-digit input)
  211. Sat Apr 18 13:34:25 2020  R0: 2909321189362570808630465826492242446680483
  212. Sat Apr 18 13:34:25 2020  R1: -1
  213. Sat Apr 18 13:34:25 2020  A0: 1
  214. Sat Apr 18 13:34:25 2020  A1: 0
  215. Sat Apr 18 13:34:25 2020  A2: 0
  216. Sat Apr 18 13:34:25 2020  A3: 0
  217. Sat Apr 18 13:34:25 2020  A4: 0
  218. Sat Apr 18 13:34:25 2020  A5: 0
  219. Sat Apr 18 13:34:25 2020  A6: 1605
  220. Sat Apr 18 13:34:25 2020  skew 0.29, size 4.187e-13, alpha 2.499, combined = 6.358e-14 rroots = 0
  221. Sat Apr 18 13:34:25 2020  
  222. Sat Apr 18 13:34:25 2020  commencing linear algebra
  223. Sat Apr 18 13:37:08 2020  matrix starts at (0, 0)
  224. Sat Apr 18 13:37:16 2020  matrix is 32932269 x 32932446 (9790.4 MB) with weight 2834741228 (86.08/col)
  225. Sat Apr 18 13:37:16 2020  sparse part has weight 2237178568 (67.93/col)
  226. Sat Apr 18 13:37:16 2020  saving the first 48 matrix rows for later
  227. Sat Apr 18 13:37:24 2020  matrix includes 64 packed rows
  228. Sat Apr 18 13:37:29 2020  matrix is 32932221 x 32932446 (9437.1 MB) with weight 2277457855 (69.16/col)
  229. Sat Apr 18 13:37:29 2020  sparse part has weight 2144554633 (65.12/col)
  230. Sat Apr 18 13:37:29 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  231. Sat Apr 18 13:41:07 2020  commencing Lanczos iteration (8 threads)
  232. Sat Apr 18 13:41:07 2020  memory use: 8107.0 MB
  233. Sat Apr 18 13:41:20 2020  restarting at iteration 478297 (dim = 30245349)
  234. Sat Apr 18 13:42:49 2020  checkpointing every 30000 dimensions
  235. Sat Apr 18 13:44:31 2020  linear algebra at 91.8%, ETA 93h51m
  236. Wed Apr 22 06:41:39 2020  lanczos halted after 520787 iterations (dim = 32932216)
  237. Wed Apr 22 06:43:22 2020  recovered 34 nontrivial dependencies
  238. Wed Apr 22 06:43:57 2020  BLanczosTime: 320972
  239. Wed Apr 22 06:43:57 2020  
  240. Wed Apr 22 06:43:57 2020  commencing square root phase
  241. Wed Apr 22 06:43:57 2020  reading relations for dependency 1
  242. Wed Apr 22 06:44:05 2020  read 16468058 cycles
  243. Wed Apr 22 06:44:31 2020  cycles contain 46399272 unique relations
  244. Wed Apr 22 06:53:47 2020  read 46399272 relations
  245. Wed Apr 22 06:58:10 2020  multiplying 46399272 relations
  246. Wed Apr 22 07:53:20 2020  multiply complete, coefficients have about 1644.49 million bits
  247. Wed Apr 22 07:53:31 2020  initial square root is modulo 23808709
  248. Wed Apr 22 08:55:45 2020  GCD is N, no factor found
  249. Wed Apr 22 08:55:45 2020  reading relations for dependency 2
  250. Wed Apr 22 08:55:52 2020  read 16466041 cycles
  251. Wed Apr 22 08:56:18 2020  cycles contain 46402738 unique relations
  252. Wed Apr 22 09:05:34 2020  read 46402738 relations
  253. Wed Apr 22 09:09:51 2020  multiplying 46402738 relations
  254. Wed Apr 22 10:04:35 2020  multiply complete, coefficients have about 1644.61 million bits
  255. Wed Apr 22 10:04:46 2020  initial square root is modulo 23836831
  256. Wed Apr 22 11:07:05 2020  sqrtTime: 15788
  257. Wed Apr 22 11:07:05 2020  p71 factor: 64354162779803534350852867412689168286983291800628491939908241495270383
  258. Wed Apr 22 11:07:05 2020  p154 factor: 1467195522233872712113928422468780312675448946223347547905333332422586834390226925945715117185544776923018423648736480719809911913865677791493673246302677
  259. Wed Apr 22 11:07:05 2020  elapsed time 93:32:42
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