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  1. Wed Jun 22 05:02:21 2016  
  2. Wed Jun 22 05:02:21 2016  
  3. Wed Jun 22 05:02:21 2016  Msieve v. 1.53 (SVN 988M)
  4. Wed Jun 22 05:02:21 2016  random seeds: 378d3d8d 65230948
  5. Wed Jun 22 05:02:21 2016  factoring 7395399755644946959112335931035758527498058987310907906290159769201319249936948907483454876937143039326430149485067823012025858744525206807575116027064910781427852225786924134256572873065938945513035007488413303 (211 digits)
  6. Wed Jun 22 05:02:22 2016  searching for 15-digit factors
  7. Wed Jun 22 05:02:23 2016  commencing number field sieve (211-digit input)
  8. Wed Jun 22 05:02:23 2016  R0: 1474913153392179474539944683
  9. Wed Jun 22 05:02:23 2016  R1: -53680246747375952479747683856888021201
  10. Wed Jun 22 05:02:23 2016  A0: 56153559
  11. Wed Jun 22 05:02:23 2016  A1: 0
  12. Wed Jun 22 05:02:23 2016  A2: 0
  13. Wed Jun 22 05:02:23 2016  A3: 0
  14. Wed Jun 22 05:02:23 2016  A4: 0
  15. Wed Jun 22 05:02:23 2016  A5: 0
  16. Wed Jun 22 05:02:23 2016  A6: 1
  17. Wed Jun 22 05:02:23 2016  skew 19.57, size 4.086e-12, alpha -0.677, combined = 3.473e-13 rroots = 0
  18. Wed Jun 22 05:02:23 2016  
  19. Wed Jun 22 05:02:23 2016  commencing relation filtering
  20. Wed Jun 22 05:02:23 2016  setting target matrix density to 120.0
  21. Wed Jun 22 05:02:23 2016  estimated available RAM is 65536.0 MB
  22. Wed Jun 22 05:02:23 2016  commencing duplicate removal, pass 1
  23. Wed Jun 22 05:07:32 2016  error -9 reading relation 37466389
  24. Wed Jun 22 05:10:50 2016  error -1 reading relation 61681228
  25. Wed Jun 22 05:10:56 2016  error -9 reading relation 62419791
  26. Wed Jun 22 05:11:07 2016  error -9 reading relation 63746376
  27. Wed Jun 22 05:11:40 2016  error -9 reading relation 67651795
  28. Wed Jun 22 05:12:09 2016  error -1 reading relation 71119613
  29. Wed Jun 22 05:17:10 2016  error -15 reading relation 107175333
  30. Wed Jun 22 05:17:11 2016  error -9 reading relation 107177718
  31. Wed Jun 22 05:18:13 2016  error -9 reading relation 114706261
  32. Wed Jun 22 05:19:02 2016  error -1 reading relation 120560925
  33. Wed Jun 22 05:19:37 2016  error -9 reading relation 124695908
  34. Wed Jun 22 05:21:54 2016  error -9 reading relation 141082037
  35. Wed Jun 22 05:24:01 2016  error -1 reading relation 156340053
  36. Wed Jun 22 05:26:54 2016  error -9 reading relation 177079087
  37. Wed Jun 22 05:27:11 2016  error -5 reading relation 179083983
  38. Wed Jun 22 05:27:41 2016  error -15 reading relation 182690354
  39. Wed Jun 22 05:27:48 2016  error -9 reading relation 183482957
  40. Wed Jun 22 05:27:51 2016  error -1 reading relation 183942541
  41. Wed Jun 22 05:28:03 2016  error -15 reading relation 185327835
  42. Wed Jun 22 05:28:03 2016  error -1 reading relation 185338510
  43. Wed Jun 22 05:28:33 2016  error -9 reading relation 188880170
  44. Wed Jun 22 05:28:46 2016  error -1 reading relation 190467206
  45. Wed Jun 22 05:29:04 2016  error -1 reading relation 192641898
  46. Wed Jun 22 05:29:14 2016  error -15 reading relation 193849154
  47. Wed Jun 22 05:29:14 2016  error -1 reading relation 193860098
  48. Wed Jun 22 05:30:16 2016  error -9 reading relation 201307523
  49. Wed Jun 22 05:30:59 2016  error -15 reading relation 206396346
  50. Wed Jun 22 05:31:22 2016  error -9 reading relation 209168074
  51. Wed Jun 22 05:31:24 2016  error -1 reading relation 209466098
  52. Wed Jun 22 05:32:23 2016  skipped 1 relations with b > 2^32
  53. Wed Jun 22 05:32:23 2016  skipped 21 relations with composite factors
  54. Wed Jun 22 05:32:23 2016  found 40679780 hash collisions in 216442664 relations
  55. Wed Jun 22 05:32:39 2016  added 1218626 free relations
  56. Wed Jun 22 05:32:39 2016  commencing duplicate removal, pass 2
  57. Wed Jun 22 05:36:15 2016  found 39850526 duplicates and 177810764 unique relations
  58. Wed Jun 22 05:36:15 2016  memory use: 1321.5 MB
  59. Wed Jun 22 05:36:15 2016  reading ideals above 720000
  60. Wed Jun 22 05:36:15 2016  commencing singleton removal, initial pass
  61. Wed Jun 22 06:00:12 2016  memory use: 5512.0 MB
  62. Wed Jun 22 06:00:13 2016  reading all ideals from disk
  63. Wed Jun 22 06:00:17 2016  memory use: 6891.3 MB
  64. Wed Jun 22 06:00:37 2016  keeping 168793091 ideals with weight <= 200, target excess is 881593
  65. Wed Jun 22 06:00:59 2016  commencing in-memory singleton removal
  66. Wed Jun 22 06:01:15 2016  begin with 177810764 relations and 168793091 unique ideals
  67. Wed Jun 22 06:03:54 2016  reduce to 104040577 relations and 86232054 ideals in 15 passes
  68. Wed Jun 22 06:03:54 2016  max relations containing the same ideal: 146
  69. Wed Jun 22 06:04:43 2016  removing 11466337 relations and 9466337 ideals in 2000000 cliques
  70. Wed Jun 22 06:04:46 2016  commencing in-memory singleton removal
  71. Wed Jun 22 06:04:54 2016  begin with 92574240 relations and 86232054 unique ideals
  72. Wed Jun 22 06:06:12 2016  reduce to 91641153 relations and 75810086 ideals in 9 passes
  73. Wed Jun 22 06:06:12 2016  max relations containing the same ideal: 136
  74. Wed Jun 22 06:06:54 2016  removing 8671822 relations and 6671822 ideals in 2000000 cliques
  75. Wed Jun 22 06:06:57 2016  commencing in-memory singleton removal
  76. Wed Jun 22 06:07:05 2016  begin with 82969331 relations and 75810086 unique ideals
  77. Wed Jun 22 06:08:06 2016  reduce to 82342270 relations and 68497434 ideals in 8 passes
  78. Wed Jun 22 06:08:06 2016  max relations containing the same ideal: 126
  79. Wed Jun 22 06:08:44 2016  removing 7845984 relations and 5845984 ideals in 2000000 cliques
  80. Wed Jun 22 06:08:47 2016  commencing in-memory singleton removal
  81. Wed Jun 22 06:08:54 2016  begin with 74496286 relations and 68497434 unique ideals
  82. Wed Jun 22 06:09:41 2016  reduce to 73932122 relations and 62074429 ideals in 7 passes
  83. Wed Jun 22 06:09:41 2016  max relations containing the same ideal: 117
  84. Wed Jun 22 06:10:16 2016  removing 7427949 relations and 5427949 ideals in 2000000 cliques
  85. Wed Jun 22 06:10:18 2016  commencing in-memory singleton removal
  86. Wed Jun 22 06:10:24 2016  begin with 66504173 relations and 62074429 unique ideals
  87. Wed Jun 22 06:11:12 2016  reduce to 65956110 relations and 56085195 ideals in 8 passes
  88. Wed Jun 22 06:11:12 2016  max relations containing the same ideal: 108
  89. Wed Jun 22 06:11:43 2016  removing 7171057 relations and 5171057 ideals in 2000000 cliques
  90. Wed Jun 22 06:11:45 2016  commencing in-memory singleton removal
  91. Wed Jun 22 06:11:50 2016  begin with 58785053 relations and 56085195 unique ideals
  92. Wed Jun 22 06:12:31 2016  reduce to 58227432 relations and 50341767 ideals in 8 passes
  93. Wed Jun 22 06:12:31 2016  max relations containing the same ideal: 99
  94. Wed Jun 22 06:12:58 2016  removing 7001895 relations and 5001895 ideals in 2000000 cliques
  95. Wed Jun 22 06:13:00 2016  commencing in-memory singleton removal
  96. Wed Jun 22 06:13:04 2016  begin with 51225537 relations and 50341767 unique ideals
  97. Wed Jun 22 06:13:40 2016  reduce to 50641927 relations and 44738567 ideals in 8 passes
  98. Wed Jun 22 06:13:40 2016  max relations containing the same ideal: 91
  99. Wed Jun 22 06:14:03 2016  removing 6875669 relations and 4875669 ideals in 2000000 cliques
  100. Wed Jun 22 06:14:05 2016  commencing in-memory singleton removal
  101. Wed Jun 22 06:14:09 2016  begin with 43766258 relations and 44738567 unique ideals
  102. Wed Jun 22 06:14:35 2016  reduce to 43132905 relations and 39208147 ideals in 7 passes
  103. Wed Jun 22 06:14:35 2016  max relations containing the same ideal: 83
  104. Wed Jun 22 06:14:55 2016  removing 6785626 relations and 4785626 ideals in 2000000 cliques
  105. Wed Jun 22 06:14:57 2016  commencing in-memory singleton removal
  106. Wed Jun 22 06:15:00 2016  begin with 36347279 relations and 39208147 unique ideals
  107. Wed Jun 22 06:15:24 2016  reduce to 35627251 relations and 33673323 ideals in 8 passes
  108. Wed Jun 22 06:15:24 2016  max relations containing the same ideal: 75
  109. Wed Jun 22 06:15:41 2016  removing 3661497 relations and 2730217 ideals in 931280 cliques
  110. Wed Jun 22 06:15:42 2016  commencing in-memory singleton removal
  111. Wed Jun 22 06:15:44 2016  begin with 31965754 relations and 33673323 unique ideals
  112. Wed Jun 22 06:16:05 2016  reduce to 31708537 relations and 30679803 ideals in 8 passes
  113. Wed Jun 22 06:16:05 2016  max relations containing the same ideal: 66
  114. Wed Jun 22 06:16:24 2016  relations with 0 large ideals: 32198
  115. Wed Jun 22 06:16:24 2016  relations with 1 large ideals: 26149
  116. Wed Jun 22 06:16:24 2016  relations with 2 large ideals: 282060
  117. Wed Jun 22 06:16:24 2016  relations with 3 large ideals: 1544788
  118. Wed Jun 22 06:16:24 2016  relations with 4 large ideals: 4519639
  119. Wed Jun 22 06:16:24 2016  relations with 5 large ideals: 7812128
  120. Wed Jun 22 06:16:24 2016  relations with 6 large ideals: 8357308
  121. Wed Jun 22 06:16:24 2016  relations with 7+ large ideals: 9134267
  122. Wed Jun 22 06:16:24 2016  commencing 2-way merge
  123. Wed Jun 22 06:16:43 2016  reduce to 20608758 relation sets and 19580023 unique ideals
  124. Wed Jun 22 06:16:43 2016  commencing full merge
  125. Wed Jun 22 06:24:48 2016  memory use: 2562.2 MB
  126. Wed Jun 22 06:24:51 2016  found 9299193 cycles, need 9236223
  127. Wed Jun 22 06:24:52 2016  weight of 9236223 cycles is about 1108945393 (120.06/cycle)
  128. Wed Jun 22 06:24:52 2016  distribution of cycle lengths:
  129. Wed Jun 22 06:24:52 2016  1 relations: 370507
  130. Wed Jun 22 06:24:52 2016  2 relations: 545878
  131. Wed Jun 22 06:24:52 2016  3 relations: 642822
  132. Wed Jun 22 06:24:52 2016  4 relations: 666807
  133. Wed Jun 22 06:24:52 2016  5 relations: 678493
  134. Wed Jun 22 06:24:52 2016  6 relations: 672316
  135. Wed Jun 22 06:24:52 2016  7 relations: 659925
  136. Wed Jun 22 06:24:52 2016  8 relations: 629871
  137. Wed Jun 22 06:24:52 2016  9 relations: 594570
  138. Wed Jun 22 06:24:52 2016  10+ relations: 3775034
  139. Wed Jun 22 06:24:52 2016  heaviest cycle: 28 relations
  140. Wed Jun 22 06:24:55 2016  commencing cycle optimization
  141. Wed Jun 22 06:25:16 2016  start with 82953796 relations
  142. Wed Jun 22 06:28:54 2016  pruned 3777258 relations
  143. Wed Jun 22 06:28:55 2016  memory use: 2164.3 MB
  144. Wed Jun 22 06:28:55 2016  distribution of cycle lengths:
  145. Wed Jun 22 06:28:55 2016  1 relations: 370507
  146. Wed Jun 22 06:28:55 2016  2 relations: 559147
  147. Wed Jun 22 06:28:55 2016  3 relations: 670107
  148. Wed Jun 22 06:28:55 2016  4 relations: 694955
  149. Wed Jun 22 06:28:55 2016  5 relations: 712060
  150. Wed Jun 22 06:28:55 2016  6 relations: 705224
  151. Wed Jun 22 06:28:55 2016  7 relations: 694436
  152. Wed Jun 22 06:28:55 2016  8 relations: 659717
  153. Wed Jun 22 06:28:55 2016  9 relations: 622961
  154. Wed Jun 22 06:28:55 2016  10+ relations: 3547109
  155. Wed Jun 22 06:28:55 2016  heaviest cycle: 28 relations
  156. Wed Jun 22 06:29:20 2016  RelProcTime: 5217
  157. Wed Jun 22 06:29:20 2016  
  158. Wed Jun 22 06:29:20 2016  commencing linear algebra
  159. Wed Jun 22 06:29:22 2016  read 9236223 cycles
  160. Wed Jun 22 06:29:43 2016  cycles contain 31114443 unique relations
  161. Wed Jun 22 06:34:45 2016  read 31114443 relations
  162. Wed Jun 22 06:35:49 2016  using 20 quadratic characters above 4294917295
  163. Wed Jun 22 06:37:52 2016  building initial matrix
  164. Wed Jun 22 06:44:15 2016  memory use: 4019.4 MB
  165. Wed Jun 22 06:44:25 2016  read 9236223 cycles
  166. Wed Jun 22 06:44:26 2016  matrix is 9236046 x 9236223 (4328.6 MB) with weight 1252020835 (135.56/col)
  167. Wed Jun 22 06:44:26 2016  sparse part has weight 1033115640 (111.85/col)
  168. Wed Jun 22 06:46:39 2016  filtering completed in 2 passes
  169. Wed Jun 22 06:46:41 2016  matrix is 9235728 x 9235905 (4328.6 MB) with weight 1252007584 (135.56/col)
  170. Wed Jun 22 06:46:41 2016  sparse part has weight 1033110175 (111.86/col)
  171. Wed Jun 22 06:49:11 2016  matrix starts at (0, 0)
  172. Wed Jun 22 06:49:12 2016  matrix is 9235728 x 9235905 (4328.6 MB) with weight 1252007584 (135.56/col)
  173. Wed Jun 22 06:49:12 2016  sparse part has weight 1033110175 (111.86/col)
  174. Wed Jun 22 06:49:12 2016  saving the first 48 matrix rows for later
  175. Wed Jun 22 06:49:14 2016  matrix includes 64 packed rows
  176. Wed Jun 22 06:49:14 2016  matrix is 9235680 x 9235905 (4137.8 MB) with weight 1066078811 (115.43/col)
  177. Wed Jun 22 06:49:14 2016  sparse part has weight 992352826 (107.45/col)
  178. Wed Jun 22 06:49:14 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  179. Wed Jun 22 06:50:18 2016  commencing Lanczos iteration (12 threads)
  180. Wed Jun 22 06:50:18 2016  memory use: 3497.8 MB
  181. Wed Jun 22 06:50:35 2016  linear algebra at 0.0%, ETA 27h11m
  182. Wed Jun 22 06:50:40 2016  checkpointing every 350000 dimensions
  183. Thu Jun 23 10:43:43 2016  lanczos halted after 146055 iterations (dim = 9235678)
  184. Thu Jun 23 10:43:59 2016  recovered 34 nontrivial dependencies
  185. Thu Jun 23 10:44:03 2016  BLanczosTime: 101683
  186. Thu Jun 23 10:44:03 2016  
  187. Thu Jun 23 10:44:03 2016  commencing square root phase
  188. Thu Jun 23 10:44:03 2016  handling dependencies 1 to 64
  189. Thu Jun 23 10:44:03 2016  reading relations for dependency 1
  190. Thu Jun 23 10:44:11 2016  read 4618562 cycles
  191. Thu Jun 23 10:44:20 2016  cycles contain 15561600 unique relations
  192. Thu Jun 23 10:49:04 2016  read 15561600 relations
  193. Thu Jun 23 10:50:16 2016  multiplying 15561600 relations
  194. Thu Jun 23 11:02:42 2016  multiply complete, coefficients have about 419.06 million bits
  195. Thu Jun 23 11:02:44 2016  initial square root is modulo 33054067
  196. Thu Jun 23 11:15:15 2016  GCD is 1, no factor found
  197. Thu Jun 23 11:15:15 2016  reading relations for dependency 2
  198. Thu Jun 23 11:15:17 2016  read 4618587 cycles
  199. Thu Jun 23 11:15:27 2016  cycles contain 15556668 unique relations
  200. Thu Jun 23 11:19:21 2016  read 15556668 relations
  201. Thu Jun 23 11:20:31 2016  multiplying 15556668 relations
  202. Thu Jun 23 11:33:07 2016  multiply complete, coefficients have about 418.91 million bits
  203. Thu Jun 23 11:33:08 2016  initial square root is modulo 32858863
  204. Thu Jun 23 11:46:04 2016  GCD is 1, no factor found
  205. Thu Jun 23 11:46:04 2016  reading relations for dependency 3
  206. Thu Jun 23 11:46:06 2016  read 4618329 cycles
  207. Thu Jun 23 11:46:16 2016  cycles contain 15557966 unique relations
  208. Thu Jun 23 11:50:13 2016  read 15557966 relations
  209. Thu Jun 23 11:51:25 2016  multiplying 15557966 relations
  210. Thu Jun 23 12:04:20 2016  multiply complete, coefficients have about 418.95 million bits
  211. Thu Jun 23 12:04:22 2016  initial square root is modulo 32909791
  212. Thu Jun 23 12:17:19 2016  GCD is 1, no factor found
  213. Thu Jun 23 12:17:19 2016  reading relations for dependency 4
  214. Thu Jun 23 12:17:21 2016  read 4619301 cycles
  215. Thu Jun 23 12:17:31 2016  cycles contain 15557232 unique relations
  216. Thu Jun 23 12:21:31 2016  read 15557232 relations
  217. Thu Jun 23 12:22:46 2016  multiplying 15557232 relations
  218. Thu Jun 23 12:35:40 2016  multiply complete, coefficients have about 418.93 million bits
  219. Thu Jun 23 12:35:42 2016  initial square root is modulo 32885299
  220. Thu Jun 23 12:48:43 2016  sqrtTime: 7480
  221. Thu Jun 23 12:48:43 2016  p100 factor: 1824942785483270898117952334366008338041274347068254768388764279579188916526799024061976220688751351
  222. Thu Jun 23 12:48:43 2016  p112 factor: 4052400883179764753427087731553389031524181282866074557405469209257150513290537032305054200872269673329771546753
  223. Thu Jun 23 12:48:43 2016  elapsed time 31:46:22
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