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C179_151_38

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  1. Fri May 11 09:07:59 2018  Msieve v. 1.53 (SVN unknown)
  2. Fri May 11 09:07:59 2018  random seeds: 75f7afe6 a2ec72e3
  3. Fri May 11 09:07:59 2018  factoring 79650359285024786755766519150789076278609785251974503757416366952362049756323973207155883799779195104818510968612523843847383442820172271154104711490154537632733179822096306382401 (179 digits)
  4. Fri May 11 09:08:00 2018  searching for 15-digit factors
  5. Fri May 11 09:08:00 2018  commencing number field sieve (179-digit input)
  6. Fri May 11 09:08:00 2018  R0: -3123128945369882154942078678703504621568
  7. Fri May 11 09:08:00 2018  R1: 11853911588401
  8. Fri May 11 09:08:00 2018  A0: 22801
  9. Fri May 11 09:08:00 2018  A1: 0
  10. Fri May 11 09:08:00 2018  A2: 0
  11. Fri May 11 09:08:00 2018  A3: 0
  12. Fri May 11 09:08:00 2018  A4: 0
  13. Fri May 11 09:08:00 2018  A5: 0
  14. Fri May 11 09:08:00 2018  A6: 38
  15. Fri May 11 09:08:00 2018  skew 2.90, size 2.721e-12, alpha 0.788, combined = 2.577e-13 rroots = 0
  16. Fri May 11 09:08:00 2018  
  17. Fri May 11 09:08:00 2018  commencing relation filtering
  18. Fri May 11 09:08:00 2018  setting target matrix density to 120.0
  19. Fri May 11 09:08:00 2018  estimated available RAM is 15997.3 MB
  20. Fri May 11 09:08:00 2018  commencing duplicate removal, pass 1
  21. Fri May 11 09:21:10 2018  error -15 reading relation 119851880
  22. Fri May 11 09:22:34 2018  error -15 reading relation 132639990
  23. Fri May 11 09:23:48 2018  error -5 reading relation 143836249
  24. Fri May 11 09:24:15 2018  error -15 reading relation 147908133
  25. Fri May 11 09:24:17 2018  error -11 reading relation 148147755
  26. Fri May 11 09:24:17 2018  error -1 reading relation 148204932
  27. Fri May 11 09:25:28 2018  error -15 reading relation 158952145
  28. Fri May 11 09:26:44 2018  error -11 reading relation 170430240
  29. Fri May 11 09:27:35 2018  error -1 reading relation 178072799
  30. Fri May 11 09:27:45 2018  error -15 reading relation 179530755
  31. Fri May 11 09:28:01 2018  error -1 reading relation 181945433
  32. Fri May 11 09:28:01 2018  error -1 reading relation 181945434
  33. Fri May 11 09:28:01 2018  error -1 reading relation 181945435
  34. Fri May 11 09:28:41 2018  skipped 16 relations with b > 2^32
  35. Fri May 11 09:28:41 2018  skipped 5 relations with composite factors
  36. Fri May 11 09:28:41 2018  found 7776173 hash collisions in 188000921 relations
  37. Fri May 11 09:28:55 2018  added 1219575 free relations
  38. Fri May 11 09:28:55 2018  commencing duplicate removal, pass 2
  39. Fri May 11 09:29:43 2018  found 0 duplicates and 189220496 unique relations
  40. Fri May 11 09:29:43 2018  memory use: 522.4 MB
  41. Fri May 11 09:29:43 2018  reading ideals above 133890048
  42. Fri May 11 09:29:43 2018  commencing singleton removal, initial pass
  43. Fri May 11 09:44:38 2018  memory use: 3012.0 MB
  44. Fri May 11 09:44:38 2018  reading all ideals from disk
  45. Fri May 11 09:44:45 2018  memory use: 3486.6 MB
  46. Fri May 11 09:44:51 2018  commencing in-memory singleton removal
  47. Fri May 11 09:44:57 2018  begin with 189220496 relations and 159807932 unique ideals
  48. Fri May 11 09:46:04 2018  reduce to 120399662 relations and 83743870 ideals in 14 passes
  49. Fri May 11 09:46:04 2018  max relations containing the same ideal: 40
  50. Fri May 11 09:46:10 2018  reading ideals above 720000
  51. Fri May 11 09:46:10 2018  commencing singleton removal, initial pass
  52. Fri May 11 09:58:36 2018  memory use: 2756.0 MB
  53. Fri May 11 09:58:36 2018  reading all ideals from disk
  54. Fri May 11 09:58:47 2018  memory use: 4758.7 MB
  55. Fri May 11 09:58:59 2018  keeping 98297999 ideals with weight <= 200, target excess is 622169
  56. Fri May 11 09:59:11 2018  commencing in-memory singleton removal
  57. Fri May 11 09:59:20 2018  begin with 120399662 relations and 98297999 unique ideals
  58. Fri May 11 09:59:56 2018  reduce to 120399561 relations and 98297898 ideals in 4 passes
  59. Fri May 11 09:59:56 2018  max relations containing the same ideal: 200
  60. Fri May 11 10:00:45 2018  removing 11021083 relations and 9021083 ideals in 2000000 cliques
  61. Fri May 11 10:00:48 2018  commencing in-memory singleton removal
  62. Fri May 11 10:00:57 2018  begin with 109378478 relations and 98297898 unique ideals
  63. Fri May 11 10:02:03 2018  reduce to 108657849 relations and 88541289 ideals in 8 passes
  64. Fri May 11 10:02:03 2018  max relations containing the same ideal: 195
  65. Fri May 11 10:02:46 2018  removing 8356464 relations and 6356464 ideals in 2000000 cliques
  66. Fri May 11 10:02:49 2018  commencing in-memory singleton removal
  67. Fri May 11 10:02:57 2018  begin with 100301385 relations and 88541289 unique ideals
  68. Fri May 11 10:03:56 2018  reduce to 99825546 relations and 81700087 ideals in 8 passes
  69. Fri May 11 10:03:56 2018  max relations containing the same ideal: 187
  70. Fri May 11 10:04:36 2018  removing 7544944 relations and 5544944 ideals in 2000000 cliques
  71. Fri May 11 10:04:38 2018  commencing in-memory singleton removal
  72. Fri May 11 10:04:45 2018  begin with 92280602 relations and 81700087 unique ideals
  73. Fri May 11 10:05:39 2018  reduce to 91864564 relations and 75731347 ideals in 8 passes
  74. Fri May 11 10:05:39 2018  max relations containing the same ideal: 177
  75. Fri May 11 10:06:15 2018  removing 7125695 relations and 5125695 ideals in 2000000 cliques
  76. Fri May 11 10:06:18 2018  commencing in-memory singleton removal
  77. Fri May 11 10:06:24 2018  begin with 84738869 relations and 75731347 unique ideals
  78. Fri May 11 10:07:07 2018  reduce to 84347944 relations and 70207034 ideals in 7 passes
  79. Fri May 11 10:07:07 2018  max relations containing the same ideal: 171
  80. Fri May 11 10:07:41 2018  removing 6853567 relations and 4853567 ideals in 2000000 cliques
  81. Fri May 11 10:07:43 2018  commencing in-memory singleton removal
  82. Fri May 11 10:07:49 2018  begin with 77494377 relations and 70207034 unique ideals
  83. Fri May 11 10:08:27 2018  reduce to 77115658 relations and 64966854 ideals in 7 passes
  84. Fri May 11 10:08:27 2018  max relations containing the same ideal: 162
  85. Fri May 11 10:08:58 2018  removing 6658168 relations and 4658168 ideals in 2000000 cliques
  86. Fri May 11 10:09:01 2018  commencing in-memory singleton removal
  87. Fri May 11 10:09:06 2018  begin with 70457490 relations and 64966854 unique ideals
  88. Fri May 11 10:09:41 2018  reduce to 70077020 relations and 59919667 ideals in 7 passes
  89. Fri May 11 10:09:41 2018  max relations containing the same ideal: 147
  90. Fri May 11 10:10:09 2018  removing 6517230 relations and 4517230 ideals in 2000000 cliques
  91. Fri May 11 10:10:11 2018  commencing in-memory singleton removal
  92. Fri May 11 10:10:16 2018  begin with 63559790 relations and 59919667 unique ideals
  93. Fri May 11 10:10:46 2018  reduce to 63170919 relations and 55004183 ideals in 7 passes
  94. Fri May 11 10:10:46 2018  max relations containing the same ideal: 138
  95. Fri May 11 10:11:12 2018  removing 6406728 relations and 4406728 ideals in 2000000 cliques
  96. Fri May 11 10:11:13 2018  commencing in-memory singleton removal
  97. Fri May 11 10:11:18 2018  begin with 56764191 relations and 55004183 unique ideals
  98. Fri May 11 10:11:45 2018  reduce to 56353856 relations and 50176058 ideals in 7 passes
  99. Fri May 11 10:11:45 2018  max relations containing the same ideal: 131
  100. Fri May 11 10:12:08 2018  removing 6329416 relations and 4329416 ideals in 2000000 cliques
  101. Fri May 11 10:12:09 2018  commencing in-memory singleton removal
  102. Fri May 11 10:12:13 2018  begin with 50024440 relations and 50176058 unique ideals
  103. Fri May 11 10:12:37 2018  reduce to 49576263 relations and 45384938 ideals in 7 passes
  104. Fri May 11 10:12:37 2018  max relations containing the same ideal: 120
  105. Fri May 11 10:12:56 2018  removing 6282528 relations and 4282528 ideals in 2000000 cliques
  106. Fri May 11 10:12:58 2018  commencing in-memory singleton removal
  107. Fri May 11 10:13:01 2018  begin with 43293735 relations and 45384938 unique ideals
  108. Fri May 11 10:13:21 2018  reduce to 42778747 relations and 40569848 ideals in 7 passes
  109. Fri May 11 10:13:21 2018  max relations containing the same ideal: 107
  110. Fri May 11 10:13:38 2018  removing 4933110 relations and 3445928 ideals in 1487182 cliques
  111. Fri May 11 10:13:40 2018  commencing in-memory singleton removal
  112. Fri May 11 10:13:42 2018  begin with 37845637 relations and 40569848 unique ideals
  113. Fri May 11 10:13:59 2018  reduce to 37455256 relations and 36721686 ideals in 7 passes
  114. Fri May 11 10:13:59 2018  max relations containing the same ideal: 100
  115. Fri May 11 10:14:14 2018  removing 80640 relations and 68787 ideals in 11853 cliques
  116. Fri May 11 10:14:15 2018  commencing in-memory singleton removal
  117. Fri May 11 10:14:17 2018  begin with 37374616 relations and 36721686 unique ideals
  118. Fri May 11 10:14:29 2018  reduce to 37374499 relations and 36652782 ideals in 5 passes
  119. Fri May 11 10:14:29 2018  max relations containing the same ideal: 100
  120. Fri May 11 10:14:36 2018  relations with 0 large ideals: 23095
  121. Fri May 11 10:14:36 2018  relations with 1 large ideals: 9633
  122. Fri May 11 10:14:36 2018  relations with 2 large ideals: 108253
  123. Fri May 11 10:14:36 2018  relations with 3 large ideals: 767595
  124. Fri May 11 10:14:36 2018  relations with 4 large ideals: 2942551
  125. Fri May 11 10:14:36 2018  relations with 5 large ideals: 6759627
  126. Fri May 11 10:14:36 2018  relations with 6 large ideals: 9737372
  127. Fri May 11 10:14:36 2018  relations with 7+ large ideals: 17026373
  128. Fri May 11 10:14:36 2018  commencing 2-way merge
  129. Fri May 11 10:14:54 2018  reduce to 25400947 relation sets and 24679230 unique ideals
  130. Fri May 11 10:14:54 2018  commencing full merge
  131. Fri May 11 10:22:26 2018  memory use: 3208.0 MB
  132. Fri May 11 10:22:28 2018  found 11310784 cycles, need 11291430
  133. Fri May 11 10:22:31 2018  weight of 11291430 cycles is about 1355181484 (120.02/cycle)
  134. Fri May 11 10:22:31 2018  distribution of cycle lengths:
  135. Fri May 11 10:22:31 2018  1 relations: 388777
  136. Fri May 11 10:22:31 2018  2 relations: 614287
  137. Fri May 11 10:22:31 2018  3 relations: 763811
  138. Fri May 11 10:22:31 2018  4 relations: 813817
  139. Fri May 11 10:22:31 2018  5 relations: 852235
  140. Fri May 11 10:22:31 2018  6 relations: 856819
  141. Fri May 11 10:22:31 2018  7 relations: 845913
  142. Fri May 11 10:22:31 2018  8 relations: 809772
  143. Fri May 11 10:22:31 2018  9 relations: 760826
  144. Fri May 11 10:22:31 2018  10+ relations: 4585173
  145. Fri May 11 10:22:31 2018  heaviest cycle: 28 relations
  146. Fri May 11 10:22:33 2018  commencing cycle optimization
  147. Fri May 11 10:22:51 2018  start with 101691097 relations
  148. Fri May 11 10:26:02 2018  pruned 5053268 relations
  149. Fri May 11 10:26:02 2018  memory use: 2606.5 MB
  150. Fri May 11 10:26:02 2018  distribution of cycle lengths:
  151. Fri May 11 10:26:02 2018  1 relations: 388777
  152. Fri May 11 10:26:02 2018  2 relations: 631035
  153. Fri May 11 10:26:02 2018  3 relations: 798508
  154. Fri May 11 10:26:02 2018  4 relations: 852087
  155. Fri May 11 10:26:02 2018  5 relations: 899873
  156. Fri May 11 10:26:02 2018  6 relations: 904050
  157. Fri May 11 10:26:02 2018  7 relations: 894730
  158. Fri May 11 10:26:02 2018  8 relations: 853647
  159. Fri May 11 10:26:02 2018  9 relations: 799132
  160. Fri May 11 10:26:02 2018  10+ relations: 4269591
  161. Fri May 11 10:26:02 2018  heaviest cycle: 28 relations
  162. Fri May 11 10:26:22 2018  RelProcTime: 4702
  163. Fri May 11 10:26:22 2018  
  164. Fri May 11 10:26:22 2018  commencing linear algebra
  165. Fri May 11 10:26:23 2018  read 11291430 cycles
  166. Fri May 11 10:26:43 2018  cycles contain 37010645 unique relations
  167. Fri May 11 10:29:25 2018  read 37010645 relations
  168. Fri May 11 10:30:19 2018  using 20 quadratic characters above 4294917295
  169. Fri May 11 10:32:28 2018  building initial matrix
  170. Fri May 11 10:38:41 2018  memory use: 5002.3 MB
  171. Fri May 11 10:38:46 2018  read 11291430 cycles
  172. Fri May 11 10:38:47 2018  matrix is 11291252 x 11291430 (5274.2 MB) with weight 1545921759 (136.91/col)
  173. Fri May 11 10:38:47 2018  sparse part has weight 1258404963 (111.45/col)
  174. Fri May 11 10:40:49 2018  filtering completed in 2 passes
  175. Fri May 11 10:40:51 2018  matrix is 11291173 x 11291351 (5274.2 MB) with weight 1545918231 (136.91/col)
  176. Fri May 11 10:40:51 2018  sparse part has weight 1258403472 (111.45/col)
  177. Fri May 11 10:41:19 2018  matrix starts at (0, 0)
  178. Fri May 11 10:41:21 2018  matrix is 11291173 x 11291351 (5274.2 MB) with weight 1545918231 (136.91/col)
  179. Fri May 11 10:41:21 2018  sparse part has weight 1258403472 (111.45/col)
  180. Fri May 11 10:41:21 2018  saving the first 48 matrix rows for later
  181. Fri May 11 10:41:22 2018  matrix includes 64 packed rows
  182. Fri May 11 10:41:23 2018  matrix is 11291125 x 11291351 (5082.8 MB) with weight 1315440258 (116.50/col)
  183. Fri May 11 10:41:23 2018  sparse part has weight 1219505028 (108.00/col)
  184. Fri May 11 10:41:24 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  185. Fri May 11 10:42:05 2018  commencing Lanczos iteration (4 threads)
  186. Fri May 11 10:42:05 2018  memory use: 4336.6 MB
  187. Fri May 11 10:42:53 2018  linear algebra at 0.0%, ETA 95h17m
  188. Fri May 11 10:43:08 2018  checkpointing every 120000 dimensions
  189. Tue May 15 09:12:02 2018  lanczos halted after 178555 iterations (dim = 11291123)
  190. Tue May 15 09:12:12 2018  recovered 37 nontrivial dependencies
  191. Tue May 15 09:12:12 2018  BLanczosTime: 341150
  192. Tue May 15 09:12:12 2018  
  193. Tue May 15 09:12:12 2018  commencing square root phase
  194. Tue May 15 09:12:12 2018  handling dependencies 1 to 64
  195. Tue May 15 09:12:12 2018  reading relations for dependency 1
  196. Tue May 15 09:12:13 2018  read 5647337 cycles
  197. Tue May 15 09:12:23 2018  cycles contain 18506106 unique relations
  198. Tue May 15 09:13:51 2018  read 18506106 relations
  199. Tue May 15 09:14:57 2018  multiplying 18506106 relations
  200. Tue May 15 09:29:06 2018  multiply complete, coefficients have about 575.61 million bits
  201. Tue May 15 09:29:08 2018  initial square root is modulo 145963
  202. Tue May 15 09:44:24 2018  sqrtTime: 1932
  203. Tue May 15 09:44:24 2018  p65 factor: 31632949040400836947820646868234707582418471995305282399868975337
  204. Tue May 15 09:44:24 2018  p115 factor: 2517955540069858031242756010917587802346001960116036955493477447513793565213033307804343147547041119851876958104473
  205. Tue May 15 09:44:24 2018  elapsed time 96:36:25
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