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  1. Fri Jul 29 23:16:39 2016  
  2. Fri Jul 29 23:16:40 2016  
  3. Fri Jul 29 23:16:41 2016  Msieve v. 1.53 (SVN 988M)
  4. Fri Jul 29 23:16:41 2016  random seeds: 2c52f354 6217f439
  5. Fri Jul 29 23:16:41 2016  factoring 551398211762884840156997908548442075369889302283788991350204271161116762539713102591919439951996700080868993307769629632960503710249860233207702055027456114992897898817253528535622965001 (186 digits)
  6. Fri Jul 29 23:16:42 2016  searching for 15-digit factors
  7. Fri Jul 29 23:16:43 2016  commencing number field sieve (186-digit input)
  8. Fri Jul 29 23:16:43 2016  R0: 1798465042647412146620280340569649349251249
  9. Fri Jul 29 23:16:43 2016  R1: -717897987691852588770249
  10. Fri Jul 29 23:16:43 2016  A0: 49
  11. Fri Jul 29 23:16:43 2016  A1: 0
  12. Fri Jul 29 23:16:43 2016  A2: 0
  13. Fri Jul 29 23:16:43 2016  A3: 0
  14. Fri Jul 29 23:16:43 2016  A4: 0
  15. Fri Jul 29 23:16:43 2016  A5: 0
  16. Fri Jul 29 23:16:43 2016  A6: 9
  17. Fri Jul 29 23:16:43 2016  skew 1.33, size 1.339e-12, alpha 0.313, combined = 1.462e-13 rroots = 0
  18. Fri Jul 29 23:16:43 2016  
  19. Fri Jul 29 23:16:43 2016  commencing relation filtering
  20. Fri Jul 29 23:16:43 2016  setting target matrix density to 120.0
  21. Fri Jul 29 23:16:43 2016  estimated available RAM is 65536.0 MB
  22. Fri Jul 29 23:16:43 2016  commencing duplicate removal, pass 1
  23. Fri Jul 29 23:39:39 2016  error -5 reading relation 164921655
  24. Fri Jul 29 23:40:20 2016  error -9 reading relation 169768239
  25. Fri Jul 29 23:40:33 2016  error -5 reading relation 171391383
  26. Fri Jul 29 23:41:46 2016  error -1 reading relation 180044424
  27. Fri Jul 29 23:41:48 2016  error -1 reading relation 180326873
  28. Fri Jul 29 23:44:26 2016  error -15 reading relation 199082557
  29. Fri Jul 29 23:44:28 2016  error -1 reading relation 199372075
  30. Fri Jul 29 23:44:31 2016  error -15 reading relation 199706006
  31. Fri Jul 29 23:45:23 2016  error -1 reading relation 205898248
  32. Fri Jul 29 23:45:25 2016  error -9 reading relation 206130017
  33. Fri Jul 29 23:45:26 2016  error -15 reading relation 206211895
  34. Fri Jul 29 23:45:34 2016  error -15 reading relation 207255512
  35. Fri Jul 29 23:45:52 2016  error -1 reading relation 209288123
  36. Fri Jul 29 23:45:59 2016  error -9 reading relation 210163900
  37. Fri Jul 29 23:46:08 2016  error -9 reading relation 211287890
  38. Fri Jul 29 23:46:09 2016  error -9 reading relation 211369540
  39. Fri Jul 29 23:46:11 2016  error -9 reading relation 211567121
  40. Fri Jul 29 23:46:15 2016  error -5 reading relation 212126525
  41. Fri Jul 29 23:46:26 2016  error -15 reading relation 213404839
  42. Fri Jul 29 23:46:26 2016  error -1 reading relation 213457821
  43. Fri Jul 29 23:46:27 2016  error -9 reading relation 213498509
  44. Fri Jul 29 23:46:27 2016  error -9 reading relation 213503971
  45. Fri Jul 29 23:46:40 2016  error -9 reading relation 215122209
  46. Fri Jul 29 23:46:46 2016  error -9 reading relation 215886094
  47. Fri Jul 29 23:47:06 2016  error -9 reading relation 218227922
  48. Fri Jul 29 23:47:10 2016  error -15 reading relation 218676060
  49. Fri Jul 29 23:48:08 2016  skipped 65 relations with b > 2^32
  50. Fri Jul 29 23:48:08 2016  skipped 8 relations with composite factors
  51. Fri Jul 29 23:48:08 2016  found 52175308 hash collisions in 225525675 relations
  52. Fri Jul 29 23:48:25 2016  added 1218863 free relations
  53. Fri Jul 29 23:48:25 2016  commencing duplicate removal, pass 2
  54. Fri Jul 29 23:52:19 2016  found 56146018 duplicates and 170598520 unique relations
  55. Fri Jul 29 23:52:19 2016  memory use: 1321.5 MB
  56. Fri Jul 29 23:52:19 2016  reading ideals above 720000
  57. Fri Jul 29 23:52:19 2016  commencing singleton removal, initial pass
  58. Sat Jul 30 00:15:43 2016  memory use: 5512.0 MB
  59. Sat Jul 30 00:15:44 2016  reading all ideals from disk
  60. Sat Jul 30 00:15:48 2016  memory use: 6817.0 MB
  61. Sat Jul 30 00:16:08 2016  keeping 170111949 ideals with weight <= 200, target excess is 878466
  62. Sat Jul 30 00:16:30 2016  commencing in-memory singleton removal
  63. Sat Jul 30 00:16:46 2016  begin with 170598520 relations and 170111949 unique ideals
  64. Sat Jul 30 00:19:30 2016  reduce to 95332841 relations and 85547521 ideals in 16 passes
  65. Sat Jul 30 00:19:30 2016  max relations containing the same ideal: 143
  66. Sat Jul 30 00:20:16 2016  removing 7600565 relations and 6600565 ideals in 1000000 cliques
  67. Sat Jul 30 00:20:19 2016  commencing in-memory singleton removal
  68. Sat Jul 30 00:20:27 2016  begin with 87732276 relations and 85547521 unique ideals
  69. Sat Jul 30 00:21:44 2016  reduce to 87309720 relations and 78518517 ideals in 9 passes
  70. Sat Jul 30 00:21:45 2016  max relations containing the same ideal: 137
  71. Sat Jul 30 00:22:27 2016  removing 5619838 relations and 4619838 ideals in 1000000 cliques
  72. Sat Jul 30 00:22:30 2016  commencing in-memory singleton removal
  73. Sat Jul 30 00:22:37 2016  begin with 81689882 relations and 78518517 unique ideals
  74. Sat Jul 30 00:23:48 2016  reduce to 81428868 relations and 73634628 ideals in 9 passes
  75. Sat Jul 30 00:23:49 2016  max relations containing the same ideal: 133
  76. Sat Jul 30 00:24:29 2016  removing 4995053 relations and 3995053 ideals in 1000000 cliques
  77. Sat Jul 30 00:24:31 2016  commencing in-memory singleton removal
  78. Sat Jul 30 00:24:38 2016  begin with 76433815 relations and 73634628 unique ideals
  79. Sat Jul 30 00:25:37 2016  reduce to 76211785 relations and 69414973 ideals in 8 passes
  80. Sat Jul 30 00:25:38 2016  max relations containing the same ideal: 124
  81. Sat Jul 30 00:26:15 2016  removing 4651703 relations and 3651703 ideals in 1000000 cliques
  82. Sat Jul 30 00:26:17 2016  commencing in-memory singleton removal
  83. Sat Jul 30 00:26:23 2016  begin with 71560082 relations and 69414973 unique ideals
  84. Sat Jul 30 00:27:11 2016  reduce to 71355103 relations and 65555849 ideals in 7 passes
  85. Sat Jul 30 00:27:11 2016  max relations containing the same ideal: 122
  86. Sat Jul 30 00:27:44 2016  removing 4427340 relations and 3427340 ideals in 1000000 cliques
  87. Sat Jul 30 00:27:46 2016  commencing in-memory singleton removal
  88. Sat Jul 30 00:27:52 2016  begin with 66927763 relations and 65555849 unique ideals
  89. Sat Jul 30 00:28:37 2016  reduce to 66728965 relations and 61927270 ideals in 7 passes
  90. Sat Jul 30 00:28:37 2016  max relations containing the same ideal: 116
  91. Sat Jul 30 00:29:09 2016  removing 4273453 relations and 3273453 ideals in 1000000 cliques
  92. Sat Jul 30 00:29:10 2016  commencing in-memory singleton removal
  93. Sat Jul 30 00:29:16 2016  begin with 62455512 relations and 61927270 unique ideals
  94. Sat Jul 30 00:29:57 2016  reduce to 62259308 relations and 58455099 ideals in 7 passes
  95. Sat Jul 30 00:29:57 2016  max relations containing the same ideal: 111
  96. Sat Jul 30 00:30:26 2016  removing 4159802 relations and 3159802 ideals in 1000000 cliques
  97. Sat Jul 30 00:30:28 2016  commencing in-memory singleton removal
  98. Sat Jul 30 00:30:33 2016  begin with 58099506 relations and 58455099 unique ideals
  99. Sat Jul 30 00:31:16 2016  reduce to 57899799 relations and 55092868 ideals in 8 passes
  100. Sat Jul 30 00:31:16 2016  max relations containing the same ideal: 102
  101. Sat Jul 30 00:31:43 2016  removing 4082258 relations and 3082258 ideals in 1000000 cliques
  102. Sat Jul 30 00:31:44 2016  commencing in-memory singleton removal
  103. Sat Jul 30 00:31:49 2016  begin with 53817541 relations and 55092868 unique ideals
  104. Sat Jul 30 00:32:34 2016  reduce to 53606620 relations and 51796572 ideals in 9 passes
  105. Sat Jul 30 00:32:34 2016  max relations containing the same ideal: 95
  106. Sat Jul 30 00:32:59 2016  removing 3321288 relations and 2530261 ideals in 791027 cliques
  107. Sat Jul 30 00:33:00 2016  commencing in-memory singleton removal
  108. Sat Jul 30 00:33:04 2016  begin with 50285332 relations and 51796572 unique ideals
  109. Sat Jul 30 00:33:37 2016  reduce to 50135990 relations and 49115050 ideals in 7 passes
  110. Sat Jul 30 00:33:37 2016  max relations containing the same ideal: 92
  111. Sat Jul 30 00:34:07 2016  relations with 0 large ideals: 33552
  112. Sat Jul 30 00:34:07 2016  relations with 1 large ideals: 14817
  113. Sat Jul 30 00:34:07 2016  relations with 2 large ideals: 200747
  114. Sat Jul 30 00:34:07 2016  relations with 3 large ideals: 1299639
  115. Sat Jul 30 00:34:07 2016  relations with 4 large ideals: 4617416
  116. Sat Jul 30 00:34:07 2016  relations with 5 large ideals: 9894669
  117. Sat Jul 30 00:34:07 2016  relations with 6 large ideals: 13316690
  118. Sat Jul 30 00:34:07 2016  relations with 7+ large ideals: 20758460
  119. Sat Jul 30 00:34:07 2016  commencing 2-way merge
  120. Sat Jul 30 00:34:42 2016  reduce to 33195091 relation sets and 32174151 unique ideals
  121. Sat Jul 30 00:34:42 2016  commencing full merge
  122. Sat Jul 30 00:48:26 2016  memory use: 4095.1 MB
  123. Sat Jul 30 00:48:33 2016  found 14665425 cycles, need 14652351
  124. Sat Jul 30 00:48:34 2016  weight of 14652351 cycles is about 1758739874 (120.03/cycle)
  125. Sat Jul 30 00:48:34 2016  distribution of cycle lengths:
  126. Sat Jul 30 00:48:34 2016  1 relations: 653148
  127. Sat Jul 30 00:48:34 2016  2 relations: 921908
  128. Sat Jul 30 00:48:34 2016  3 relations: 1073918
  129. Sat Jul 30 00:48:34 2016  4 relations: 1094588
  130. Sat Jul 30 00:48:34 2016  5 relations: 1094735
  131. Sat Jul 30 00:48:34 2016  6 relations: 1054268
  132. Sat Jul 30 00:48:34 2016  7 relations: 1016785
  133. Sat Jul 30 00:48:34 2016  8 relations: 953469
  134. Sat Jul 30 00:48:34 2016  9 relations: 893104
  135. Sat Jul 30 00:48:34 2016  10+ relations: 5896428
  136. Sat Jul 30 00:48:34 2016  heaviest cycle: 28 relations
  137. Sat Jul 30 00:48:39 2016  commencing cycle optimization
  138. Sat Jul 30 00:49:15 2016  start with 131494722 relations
  139. Sat Jul 30 00:55:26 2016  pruned 5786609 relations
  140. Sat Jul 30 00:55:27 2016  memory use: 3435.5 MB
  141. Sat Jul 30 00:55:28 2016  distribution of cycle lengths:
  142. Sat Jul 30 00:55:28 2016  1 relations: 653148
  143. Sat Jul 30 00:55:28 2016  2 relations: 945782
  144. Sat Jul 30 00:55:28 2016  3 relations: 1121394
  145. Sat Jul 30 00:55:28 2016  4 relations: 1139653
  146. Sat Jul 30 00:55:28 2016  5 relations: 1148407
  147. Sat Jul 30 00:55:28 2016  6 relations: 1101510
  148. Sat Jul 30 00:55:28 2016  7 relations: 1062359
  149. Sat Jul 30 00:55:28 2016  8 relations: 991472
  150. Sat Jul 30 00:55:28 2016  9 relations: 926596
  151. Sat Jul 30 00:55:28 2016  10+ relations: 5562030
  152. Sat Jul 30 00:55:28 2016  heaviest cycle: 28 relations
  153. Sat Jul 30 00:56:09 2016  RelProcTime: 5966
  154. Sat Jul 30 00:56:09 2016  
  155. Sat Jul 30 00:56:09 2016  commencing linear algebra
  156. Sat Jul 30 00:56:11 2016  read 14652351 cycles
  157. Sat Jul 30 00:56:46 2016  cycles contain 49539186 unique relations
  158. Sat Jul 30 01:03:28 2016  read 49539186 relations
  159. Sat Jul 30 01:05:18 2016  using 20 quadratic characters above 4294917295
  160. Sat Jul 30 01:08:34 2016  building initial matrix
  161. Sat Jul 30 01:18:33 2016  memory use: 6329.1 MB
  162. Sat Jul 30 01:18:48 2016  read 14652351 cycles
  163. Sat Jul 30 01:18:50 2016  matrix is 14652174 x 14652351 (6926.8 MB) with weight 1993564787 (136.06/col)
  164. Sat Jul 30 01:18:50 2016  sparse part has weight 1654650126 (112.93/col)
  165. Sat Jul 30 01:22:36 2016  filtering completed in 2 passes
  166. Sat Jul 30 01:22:40 2016  matrix is 14652017 x 14652194 (6926.8 MB) with weight 1993559337 (136.06/col)
  167. Sat Jul 30 01:22:40 2016  sparse part has weight 1654648403 (112.93/col)
  168. Sat Jul 30 01:26:15 2016  matrix starts at (0, 0)
  169. Sat Jul 30 01:26:17 2016  matrix is 14652017 x 14652194 (6926.8 MB) with weight 1993559337 (136.06/col)
  170. Sat Jul 30 01:26:17 2016  sparse part has weight 1654648403 (112.93/col)
  171. Sat Jul 30 01:26:17 2016  saving the first 48 matrix rows for later
  172. Sat Jul 30 01:26:20 2016  matrix includes 64 packed rows
  173. Sat Jul 30 01:26:21 2016  matrix is 14651969 x 14652194 (6642.5 MB) with weight 1722345181 (117.55/col)
  174. Sat Jul 30 01:26:21 2016  sparse part has weight 1594776747 (108.84/col)
  175. Sat Jul 30 01:26:21 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  176. Sat Jul 30 01:28:11 2016  commencing Lanczos iteration (12 threads)
  177. Sat Jul 30 01:28:12 2016  memory use: 5686.3 MB
  178. Sat Jul 30 01:28:41 2016  linear algebra at 0.0%, ETA 72h17m
  179. Sat Jul 30 01:28:50 2016  checkpointing every 210000 dimensions
  180. Tue Aug  2 02:50:52 2016  lanczos halted after 231705 iterations (dim = 14651967)
  181. Tue Aug  2 02:51:24 2016  recovered 40 nontrivial dependencies
  182. Tue Aug  2 02:51:33 2016  BLanczosTime: 266124
  183. Tue Aug  2 02:51:33 2016  
  184. Tue Aug  2 02:51:33 2016  commencing square root phase
  185. Tue Aug  2 02:51:33 2016  handling dependencies 1 to 64
  186. Tue Aug  2 02:51:33 2016  reading relations for dependency 1
  187. Tue Aug  2 02:51:45 2016  read 7325320 cycles
  188. Tue Aug  2 02:52:01 2016  cycles contain 24770546 unique relations
  189. Tue Aug  2 02:57:18 2016  read 24770546 relations
  190. Tue Aug  2 02:59:04 2016  multiplying 24770546 relations
  191. Tue Aug  2 03:20:56 2016  multiply complete, coefficients have about 710.12 million bits
  192. Tue Aug  2 03:20:59 2016  initial square root is modulo 2349031
  193. Tue Aug  2 03:42:20 2016  GCD is N, no factor found
  194. Tue Aug  2 03:42:20 2016  reading relations for dependency 2
  195. Tue Aug  2 03:42:25 2016  read 7327580 cycles
  196. Tue Aug  2 03:42:40 2016  cycles contain 24770820 unique relations
  197. Tue Aug  2 03:47:22 2016  read 24770820 relations
  198. Tue Aug  2 03:49:09 2016  multiplying 24770820 relations
  199. Tue Aug  2 04:11:02 2016  multiply complete, coefficients have about 710.13 million bits
  200. Tue Aug  2 04:11:04 2016  initial square root is modulo 2349343
  201. Tue Aug  2 04:32:26 2016  sqrtTime: 6053
  202. Tue Aug  2 04:32:26 2016  p65 factor: 21153041592499282315228396237960616626973151045325752223990686977
  203. Tue Aug  2 04:32:28 2016  p122 factor: 26067088714012963197912172778472191725234616153772829494642352247588118816169861865096986772267999224146645714269664315913
  204. Tue Aug  2 04:32:28 2016  elapsed time 77:15:47
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