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  1. Mon Jun 24 19:44:13 2019  
  2. Mon Jun 24 19:44:13 2019  
  3. Mon Jun 24 19:44:13 2019  Msieve v. 1.53 (SVN 988M)
  4. Mon Jun 24 19:44:13 2019  random seeds: 851dd435 8b2ddca4
  5. Mon Jun 24 19:44:13 2019  factoring 180296375569764210458704963299904089485403707425802490449271179975875039478113476169606489010611483204961604627816858986850337778812428952774374765779699392185979743732312848718653 (180 digits)
  6. Mon Jun 24 19:44:14 2019  searching for 15-digit factors
  7. Mon Jun 24 19:44:15 2019  commencing number field sieve (180-digit input)
  8. Mon Jun 24 19:44:15 2019  R0: -44885401142180137123023656710064567
  9. Mon Jun 24 19:44:15 2019  R1: 411554495833014914
  10. Mon Jun 24 19:44:15 2019  A0: 13750564890686569786532525196651461935527780
  11. Mon Jun 24 19:44:15 2019  A1: 20928069575036568685805184221920672608
  12. Mon Jun 24 19:44:15 2019  A2: -138752148792858423132613558747
  13. Mon Jun 24 19:44:15 2019  A3: -22050739027835594101009
  14. Mon Jun 24 19:44:15 2019  A4: 100662744410652
  15. Mon Jun 24 19:44:15 2019  A5: 3958416
  16. Mon Jun 24 19:44:15 2019  skew 1.00, size 1.485e-17, alpha -8.349, combined = 3.353e-16 rroots = 5
  17. Mon Jun 24 19:44:15 2019  
  18. Mon Jun 24 19:44:15 2019  commencing relation filtering
  19. Mon Jun 24 19:44:15 2019  setting target matrix density to 120.0
  20. Mon Jun 24 19:44:15 2019  estimated available RAM is 32768.0 MB
  21. Mon Jun 24 19:44:15 2019  commencing duplicate removal, pass 1
  22. Mon Jun 24 19:47:12 2019  error -1 reading relation 28509246
  23. Mon Jun 24 19:53:30 2019  error -15 reading relation 89130433
  24. Mon Jun 24 20:09:02 2019  error -15 reading relation 237471888
  25. Mon Jun 24 20:16:33 2019  error -5 reading relation 308941229
  26. Mon Jun 24 20:18:12 2019  error -11 reading relation 324586688
  27. Mon Jun 24 20:22:03 2019  skipped 1 relations with b > 2^32
  28. Mon Jun 24 20:22:03 2019  skipped 8 relations with composite factors
  29. Mon Jun 24 20:22:03 2019  found 27200283 hash collisions in 360904820 relations
  30. Mon Jun 24 20:22:25 2019  added 120964 free relations
  31. Mon Jun 24 20:22:25 2019  commencing duplicate removal, pass 2
  32. Mon Jun 24 20:24:13 2019  found 56 duplicates and 361025728 unique relations
  33. Mon Jun 24 20:24:13 2019  memory use: 1321.5 MB
  34. Mon Jun 24 20:24:13 2019  reading ideals above 318701568
  35. Mon Jun 24 20:24:13 2019  commencing singleton removal, initial pass
  36. Mon Jun 24 20:51:44 2019  memory use: 6024.0 MB
  37. Mon Jun 24 20:51:45 2019  reading all ideals from disk
  38. Mon Jun 24 20:51:49 2019  memory use: 6417.0 MB
  39. Mon Jun 24 20:52:02 2019  commencing in-memory singleton removal
  40. Mon Jun 24 20:52:15 2019  begin with 361025728 relations and 303822872 unique ideals
  41. Mon Jun 24 20:55:07 2019  reduce to 231771844 relations and 161274008 ideals in 16 passes
  42. Mon Jun 24 20:55:07 2019  max relations containing the same ideal: 44
  43. Mon Jun 24 20:55:25 2019  reading ideals above 720000
  44. Mon Jun 24 20:55:26 2019  commencing singleton removal, initial pass
  45. Mon Jun 24 21:19:14 2019  memory use: 5512.0 MB
  46. Mon Jun 24 21:19:14 2019  reading all ideals from disk
  47. Mon Jun 24 21:19:21 2019  memory use: 9455.0 MB
  48. Mon Jun 24 21:19:43 2019  keeping 194550853 ideals with weight <= 200, target excess is 1131488
  49. Mon Jun 24 21:20:07 2019  commencing in-memory singleton removal
  50. Mon Jun 24 21:20:24 2019  begin with 231771844 relations and 194550853 unique ideals
  51. Mon Jun 24 21:23:47 2019  reduce to 231634179 relations and 194413176 ideals in 11 passes
  52. Mon Jun 24 21:23:47 2019  max relations containing the same ideal: 200
  53. Mon Jun 24 21:25:18 2019  removing 13798689 relations and 11798689 ideals in 2000000 cliques
  54. Mon Jun 24 21:25:23 2019  commencing in-memory singleton removal
  55. Mon Jun 24 21:25:39 2019  begin with 217835490 relations and 194413176 unique ideals
  56. Mon Jun 24 21:27:58 2019  reduce to 217159772 relations and 181930558 ideals in 8 passes
  57. Mon Jun 24 21:27:58 2019  max relations containing the same ideal: 198
  58. Mon Jun 24 21:29:23 2019  removing 10392259 relations and 8392259 ideals in 2000000 cliques
  59. Mon Jun 24 21:29:28 2019  commencing in-memory singleton removal
  60. Mon Jun 24 21:29:43 2019  begin with 206767513 relations and 181930558 unique ideals
  61. Mon Jun 24 21:31:54 2019  reduce to 206342781 relations and 173109243 ideals in 8 passes
  62. Mon Jun 24 21:31:54 2019  max relations containing the same ideal: 195
  63. Mon Jun 24 21:33:16 2019  removing 9335155 relations and 7335155 ideals in 2000000 cliques
  64. Mon Jun 24 21:33:20 2019  commencing in-memory singleton removal
  65. Mon Jun 24 21:33:35 2019  begin with 197007626 relations and 173109243 unique ideals
  66. Mon Jun 24 21:35:24 2019  reduce to 196644636 relations and 165407567 ideals in 7 passes
  67. Mon Jun 24 21:35:24 2019  max relations containing the same ideal: 190
  68. Mon Jun 24 21:36:42 2019  removing 8764578 relations and 6764578 ideals in 2000000 cliques
  69. Mon Jun 24 21:36:46 2019  commencing in-memory singleton removal
  70. Mon Jun 24 21:37:00 2019  begin with 187880058 relations and 165407567 unique ideals
  71. Mon Jun 24 21:38:58 2019  reduce to 187544702 relations and 158304375 ideals in 8 passes
  72. Mon Jun 24 21:38:58 2019  max relations containing the same ideal: 185
  73. Mon Jun 24 21:40:13 2019  removing 8398697 relations and 6398697 ideals in 2000000 cliques
  74. Mon Jun 24 21:40:17 2019  commencing in-memory singleton removal
  75. Mon Jun 24 21:40:29 2019  begin with 179146005 relations and 158304375 unique ideals
  76. Mon Jun 24 21:42:22 2019  reduce to 178824661 relations and 151580985 ideals in 8 passes
  77. Mon Jun 24 21:42:22 2019  max relations containing the same ideal: 179
  78. Mon Jun 24 21:43:34 2019  removing 8144623 relations and 6144623 ideals in 2000000 cliques
  79. Mon Jun 24 21:43:37 2019  commencing in-memory singleton removal
  80. Mon Jun 24 21:43:50 2019  begin with 170680038 relations and 151580985 unique ideals
  81. Mon Jun 24 21:45:23 2019  reduce to 170365807 relations and 145118855 ideals in 7 passes
  82. Mon Jun 24 21:45:23 2019  max relations containing the same ideal: 173
  83. Mon Jun 24 21:46:32 2019  removing 7965987 relations and 5965987 ideals in 2000000 cliques
  84. Mon Jun 24 21:46:35 2019  commencing in-memory singleton removal
  85. Mon Jun 24 21:46:47 2019  begin with 162399820 relations and 145118855 unique ideals
  86. Mon Jun 24 21:48:16 2019  reduce to 162087542 relations and 138837204 ideals in 7 passes
  87. Mon Jun 24 21:48:16 2019  max relations containing the same ideal: 170
  88. Mon Jun 24 21:49:22 2019  removing 7831249 relations and 5831249 ideals in 2000000 cliques
  89. Mon Jun 24 21:49:25 2019  commencing in-memory singleton removal
  90. Mon Jun 24 21:49:36 2019  begin with 154256293 relations and 138837204 unique ideals
  91. Mon Jun 24 21:51:12 2019  reduce to 153942144 relations and 132688242 ideals in 8 passes
  92. Mon Jun 24 21:51:12 2019  max relations containing the same ideal: 164
  93. Mon Jun 24 21:52:14 2019  removing 7732734 relations and 5732734 ideals in 2000000 cliques
  94. Mon Jun 24 21:52:18 2019  commencing in-memory singleton removal
  95. Mon Jun 24 21:52:28 2019  begin with 146209410 relations and 132688242 unique ideals
  96. Mon Jun 24 21:53:48 2019  reduce to 145888576 relations and 126630865 ideals in 7 passes
  97. Mon Jun 24 21:53:48 2019  max relations containing the same ideal: 158
  98. Mon Jun 24 21:54:47 2019  removing 7671372 relations and 5671372 ideals in 2000000 cliques
  99. Mon Jun 24 21:54:51 2019  commencing in-memory singleton removal
  100. Mon Jun 24 21:55:00 2019  begin with 138217204 relations and 126630865 unique ideals
  101. Mon Jun 24 21:56:15 2019  reduce to 137888797 relations and 120626998 ideals in 7 passes
  102. Mon Jun 24 21:56:15 2019  max relations containing the same ideal: 153
  103. Mon Jun 24 21:57:12 2019  removing 7622773 relations and 5622773 ideals in 2000000 cliques
  104. Mon Jun 24 21:57:15 2019  commencing in-memory singleton removal
  105. Mon Jun 24 21:57:24 2019  begin with 130266024 relations and 120626998 unique ideals
  106. Mon Jun 24 21:58:34 2019  reduce to 129926412 relations and 114660173 ideals in 7 passes
  107. Mon Jun 24 21:58:34 2019  max relations containing the same ideal: 148
  108. Mon Jun 24 21:59:28 2019  removing 7595858 relations and 5595858 ideals in 2000000 cliques
  109. Mon Jun 24 21:59:31 2019  commencing in-memory singleton removal
  110. Mon Jun 24 21:59:40 2019  begin with 122330554 relations and 114660173 unique ideals
  111. Mon Jun 24 22:00:54 2019  reduce to 121977226 relations and 108706293 ideals in 8 passes
  112. Mon Jun 24 22:00:54 2019  max relations containing the same ideal: 142
  113. Mon Jun 24 22:01:45 2019  removing 7585963 relations and 5585963 ideals in 2000000 cliques
  114. Mon Jun 24 22:01:48 2019  commencing in-memory singleton removal
  115. Mon Jun 24 22:01:56 2019  begin with 114391263 relations and 108706293 unique ideals
  116. Mon Jun 24 22:02:56 2019  reduce to 114018880 relations and 102742565 ideals in 7 passes
  117. Mon Jun 24 22:02:56 2019  max relations containing the same ideal: 135
  118. Mon Jun 24 22:03:44 2019  removing 7592330 relations and 5592330 ideals in 2000000 cliques
  119. Mon Jun 24 22:03:47 2019  commencing in-memory singleton removal
  120. Mon Jun 24 22:03:54 2019  begin with 106426550 relations and 102742565 unique ideals
  121. Mon Jun 24 22:04:59 2019  reduce to 106032487 relations and 96750112 ideals in 8 passes
  122. Mon Jun 24 22:04:59 2019  max relations containing the same ideal: 129
  123. Mon Jun 24 22:05:43 2019  removing 7608458 relations and 5608458 ideals in 2000000 cliques
  124. Mon Jun 24 22:05:46 2019  commencing in-memory singleton removal
  125. Mon Jun 24 22:05:53 2019  begin with 98424029 relations and 96750112 unique ideals
  126. Mon Jun 24 22:06:44 2019  reduce to 98002678 relations and 90713422 ideals in 7 passes
  127. Mon Jun 24 22:06:44 2019  max relations containing the same ideal: 122
  128. Mon Jun 24 22:07:26 2019  removing 7641420 relations and 5641420 ideals in 2000000 cliques
  129. Mon Jun 24 22:07:28 2019  commencing in-memory singleton removal
  130. Mon Jun 24 22:07:34 2019  begin with 90361258 relations and 90713422 unique ideals
  131. Mon Jun 24 22:08:28 2019  reduce to 89901897 relations and 84604699 ideals in 8 passes
  132. Mon Jun 24 22:08:28 2019  max relations containing the same ideal: 117
  133. Mon Jun 24 22:09:07 2019  removing 7688173 relations and 5688173 ideals in 2000000 cliques
  134. Mon Jun 24 22:09:09 2019  commencing in-memory singleton removal
  135. Mon Jun 24 22:09:15 2019  begin with 82213724 relations and 84604699 unique ideals
  136. Mon Jun 24 22:10:09 2019  reduce to 81707954 relations and 78401326 ideals in 9 passes
  137. Mon Jun 24 22:10:09 2019  max relations containing the same ideal: 109
  138. Mon Jun 24 22:10:44 2019  removing 7738161 relations and 5744060 ideals in 1994101 cliques
  139. Mon Jun 24 22:10:47 2019  commencing in-memory singleton removal
  140. Mon Jun 24 22:10:52 2019  begin with 73969793 relations and 78401326 unique ideals
  141. Mon Jun 24 22:11:41 2019  reduce to 73404117 relations and 72079839 ideals in 9 passes
  142. Mon Jun 24 22:11:41 2019  max relations containing the same ideal: 101
  143. Mon Jun 24 22:12:13 2019  removing 100437 relations and 88686 ideals in 11751 cliques
  144. Mon Jun 24 22:12:14 2019  commencing in-memory singleton removal
  145. Mon Jun 24 22:12:19 2019  begin with 73303680 relations and 72079839 unique ideals
  146. Mon Jun 24 22:12:40 2019  reduce to 73303614 relations and 71991087 ideals in 4 passes
  147. Mon Jun 24 22:12:40 2019  max relations containing the same ideal: 100
  148. Mon Jun 24 22:12:51 2019  relations with 0 large ideals: 3997
  149. Mon Jun 24 22:12:51 2019  relations with 1 large ideals: 17049
  150. Mon Jun 24 22:12:51 2019  relations with 2 large ideals: 263044
  151. Mon Jun 24 22:12:51 2019  relations with 3 large ideals: 1787141
  152. Mon Jun 24 22:12:51 2019  relations with 4 large ideals: 6564619
  153. Mon Jun 24 22:12:51 2019  relations with 5 large ideals: 14453381
  154. Mon Jun 24 22:12:51 2019  relations with 6 large ideals: 19974531
  155. Mon Jun 24 22:12:51 2019  relations with 7+ large ideals: 30239852
  156. Mon Jun 24 22:12:51 2019  commencing 2-way merge
  157. Mon Jun 24 22:13:35 2019  reduce to 47184448 relation sets and 45871921 unique ideals
  158. Mon Jun 24 22:13:35 2019  commencing full merge
  159. Mon Jun 24 22:29:57 2019  memory use: 5609.2 MB
  160. Mon Jun 24 22:30:07 2019  found 21183773 cycles, need 21128121
  161. Mon Jun 24 22:30:08 2019  weight of 21128121 cycles is about 2535651762 (120.01/cycle)
  162. Mon Jun 24 22:30:08 2019  distribution of cycle lengths:
  163. Mon Jun 24 22:30:08 2019  1 relations: 996199
  164. Mon Jun 24 22:30:08 2019  2 relations: 1447058
  165. Mon Jun 24 22:30:08 2019  3 relations: 1637983
  166. Mon Jun 24 22:30:08 2019  4 relations: 1628294
  167. Mon Jun 24 22:30:08 2019  5 relations: 1631966
  168. Mon Jun 24 22:30:08 2019  6 relations: 1569667
  169. Mon Jun 24 22:30:08 2019  7 relations: 1510322
  170. Mon Jun 24 22:30:08 2019  8 relations: 1424855
  171. Mon Jun 24 22:30:08 2019  9 relations: 1335022
  172. Mon Jun 24 22:30:08 2019  10+ relations: 7946755
  173. Mon Jun 24 22:30:08 2019  heaviest cycle: 28 relations
  174. Mon Jun 24 22:30:17 2019  commencing cycle optimization
  175. Mon Jun 24 22:31:05 2019  start with 180604222 relations
  176. Mon Jun 24 22:39:02 2019  pruned 7660225 relations
  177. Mon Jun 24 22:39:02 2019  memory use: 4897.1 MB
  178. Mon Jun 24 22:39:02 2019  distribution of cycle lengths:
  179. Mon Jun 24 22:39:02 2019  1 relations: 996199
  180. Mon Jun 24 22:39:02 2019  2 relations: 1486944
  181. Mon Jun 24 22:39:02 2019  3 relations: 1711408
  182. Mon Jun 24 22:39:02 2019  4 relations: 1694332
  183. Mon Jun 24 22:39:02 2019  5 relations: 1706199
  184. Mon Jun 24 22:39:02 2019  6 relations: 1635886
  185. Mon Jun 24 22:39:02 2019  7 relations: 1576154
  186. Mon Jun 24 22:39:02 2019  8 relations: 1481217
  187. Mon Jun 24 22:39:02 2019  9 relations: 1381765
  188. Mon Jun 24 22:39:02 2019  10+ relations: 7458017
  189. Mon Jun 24 22:39:02 2019  heaviest cycle: 28 relations
  190. Mon Jun 24 22:39:55 2019  RelProcTime: 10540
  191. Mon Jun 24 22:39:55 2019  
  192. Mon Jun 24 22:39:55 2019  commencing linear algebra
  193. Mon Jun 24 22:39:59 2019  read 21128121 cycles
  194. Mon Jun 24 22:40:44 2019  cycles contain 72501384 unique relations
  195. Mon Jun 24 22:45:34 2019  read 72501384 relations
  196. Mon Jun 24 22:48:23 2019  using 20 quadratic characters above 4294917295
  197. Mon Jun 24 22:52:40 2019  building initial matrix
  198. Mon Jun 24 23:06:26 2019  memory use: 10246.2 MB
  199. Mon Jun 24 23:06:45 2019  read 21128121 cycles
  200. Mon Jun 24 23:06:47 2019  matrix is 21127942 x 21128121 (10022.1 MB) with weight 3067488935 (145.19/col)
  201. Mon Jun 24 23:06:47 2019  sparse part has weight 2373706824 (112.35/col)
  202. Mon Jun 24 23:10:47 2019  filtering completed in 2 passes
  203. Mon Jun 24 23:10:51 2019  matrix is 21127456 x 21127635 (10022.1 MB) with weight 3067466559 (145.19/col)
  204. Mon Jun 24 23:10:51 2019  sparse part has weight 2373701226 (112.35/col)
  205. Mon Jun 24 23:12:01 2019  matrix starts at (0, 0)
  206. Mon Jun 24 23:12:03 2019  matrix is 21127456 x 21127635 (10022.1 MB) with weight 3067466559 (145.19/col)
  207. Mon Jun 24 23:12:03 2019  sparse part has weight 2373701226 (112.35/col)
  208. Mon Jun 24 23:12:03 2019  saving the first 48 matrix rows for later
  209. Mon Jun 24 23:12:06 2019  matrix includes 64 packed rows
  210. Mon Jun 24 23:12:08 2019  matrix is 21127408 x 21127635 (9781.3 MB) with weight 2630855675 (124.52/col)
  211. Mon Jun 24 23:12:08 2019  sparse part has weight 2352837554 (111.36/col)
  212. Mon Jun 24 23:12:08 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  213. Mon Jun 24 23:14:15 2019  commencing Lanczos iteration (8 threads)
  214. Mon Jun 24 23:14:15 2019  memory use: 8287.7 MB
  215. Mon Jun 24 23:15:07 2019  linear algebra at 0.0%, ETA 188h55m
  216. Mon Jun 24 23:15:24 2019  checkpointing every 120000 dimensions
  217. Wed Jul  3 09:08:32 2019  lanczos halted after 334120 iterations (dim = 21127405)
  218. Wed Jul  3 09:08:54 2019  recovered 28 nontrivial dependencies
  219. Wed Jul  3 09:08:59 2019  BLanczosTime: 728944
  220. Wed Jul  3 09:08:59 2019  
  221. Wed Jul  3 09:08:59 2019  commencing square root phase
  222. Wed Jul  3 09:08:59 2019  handling dependencies 1 to 64
  223. Wed Jul  3 09:08:59 2019  reading relations for dependency 1
  224. Wed Jul  3 09:09:03 2019  read 10566222 cycles
  225. Wed Jul  3 09:09:25 2019  cycles contain 36254616 unique relations
  226. Wed Jul  3 09:15:47 2019  read 36254616 relations
  227. Wed Jul  3 09:19:04 2019  multiplying 36254616 relations
  228. Wed Jul  3 10:04:18 2019  multiply complete, coefficients have about 2185.61 million bits
  229. Wed Jul  3 10:04:34 2019  initial square root is modulo 79829
  230. Wed Jul  3 10:53:38 2019  GCD is 1, no factor found
  231. Wed Jul  3 09:09:51 2019  reading relations for dependency 6
  232. Wed Jul  3 09:09:55 2019  read 10564279 cycles
  233. Wed Jul  3 09:10:17 2019  cycles contain 36253456 unique relations
  234. Wed Jul  3 09:17:26 2019  read 36253456 relations
  235. Wed Jul  3 09:20:46 2019  multiplying 36253456 relations
  236. Wed Jul  3 10:05:27 2019  multiply complete, coefficients have about 2185.56 million bits
  237. Wed Jul  3 10:05:42 2019  initial square root is modulo 79829
  238. Wed Jul  3 10:54:29 2019  sqrtTime: 6278
  239. Wed Jul  3 10:54:29 2019  p78 factor: 286144475777414982291642953598567703399013257466631762623840537646254010218591
  240. Wed Jul  3 10:54:29 2019  p102 factor: 630088611984990740534925577887371986894950298925871819485452336155053147991630566844830407154574131683
  241. Wed Jul  3 10:54:29 2019  elapsed time 01:44:39
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