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7p4_350

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  1. Mon Sep  2 07:55:10 2019  
  2. Mon Sep  2 07:55:10 2019  
  3. Mon Sep  2 07:55:10 2019  Msieve v. 1.54 (SVN 1025)
  4. Mon Sep  2 07:55:10 2019  random seeds: 4eed9065 51e2be2e
  5. Mon Sep  2 07:55:10 2019  factoring 79914170303630821636026797890048444556975345685648263846659949185388632991848813783896287921441624696035480039352728725218949312274080628143077882775012019402751447382601 (170 digits)
  6. Mon Sep  2 07:55:10 2019  searching for 15-digit factors
  7. Mon Sep  2 07:55:10 2019  commencing number field sieve (170-digit input)
  8. Mon Sep  2 07:55:10 2019  R0: 1798465042647412146620280340569649349251249
  9. Mon Sep  2 07:55:10 2019  R1: -1267650600228229401496703205376
  10. Mon Sep  2 07:55:10 2019  A0: 1
  11. Mon Sep  2 07:55:10 2019  A1: -1
  12. Mon Sep  2 07:55:10 2019  A2: 1
  13. Mon Sep  2 07:55:10 2019  A3: -1
  14. Mon Sep  2 07:55:10 2019  A4: 1
  15. Mon Sep  2 07:55:10 2019  A5: -1
  16. Mon Sep  2 07:55:10 2019  A6: 1
  17. Mon Sep  2 07:55:10 2019  skew 1.00, size 1.645e-12, alpha 2.428, combined = 1.679e-13 rroots = 0
  18. Mon Sep  2 07:55:10 2019  
  19. Mon Sep  2 07:55:10 2019  commencing relation filtering
  20. Mon Sep  2 07:55:10 2019  setting target matrix density to 116.0
  21. Mon Sep  2 07:55:10 2019  estimated available RAM is 15984.7 MB
  22. Mon Sep  2 07:55:10 2019  commencing duplicate removal, pass 1
  23. Mon Sep  2 07:58:48 2019  error -15 reading relation 33045845
  24. Mon Sep  2 08:15:37 2019  error -15 reading relation 181858092
  25. Mon Sep  2 08:15:37 2019  error -15 reading relation 181858459
  26. Mon Sep  2 08:15:37 2019  error -11 reading relation 181858770
  27. Mon Sep  2 08:15:37 2019  error -1 reading relation 181859845
  28. Mon Sep  2 08:15:37 2019  error -1 reading relation 181860386
  29. Mon Sep  2 08:15:37 2019  error -15 reading relation 181860512
  30. Mon Sep  2 08:15:37 2019  error -11 reading relation 181861676
  31. Mon Sep  2 08:15:37 2019  error -15 reading relation 181861980
  32. Mon Sep  2 08:15:37 2019  error -15 reading relation 181862012
  33. Mon Sep  2 08:15:37 2019  error -6 reading relation 181862241
  34. Mon Sep  2 08:15:37 2019  error -11 reading relation 181862542
  35. Mon Sep  2 08:15:37 2019  error -15 reading relation 181863088
  36. Mon Sep  2 08:15:37 2019  error -1 reading relation 181863559
  37. Mon Sep  2 08:15:37 2019  error -11 reading relation 181864748
  38. Mon Sep  2 08:15:37 2019  error -1 reading relation 181865080
  39. Mon Sep  2 08:15:37 2019  error -11 reading relation 181865467
  40. Mon Sep  2 08:15:37 2019  error -1 reading relation 181865663
  41. Mon Sep  2 08:15:37 2019  error -1 reading relation 181866189
  42. Mon Sep  2 08:15:37 2019  error -11 reading relation 181866245
  43. Mon Sep  2 08:15:37 2019  error -11 reading relation 181866515
  44. Mon Sep  2 08:15:37 2019  error -1 reading relation 181866650
  45. Mon Sep  2 08:15:37 2019  error -15 reading relation 181866781
  46. Mon Sep  2 08:15:37 2019  error -1 reading relation 181867427
  47. Mon Sep  2 08:15:37 2019  error -1 reading relation 181867761
  48. Mon Sep  2 08:15:37 2019  error -11 reading relation 181867830
  49. Mon Sep  2 08:15:37 2019  error -11 reading relation 181868190
  50. Mon Sep  2 08:15:37 2019  error -15 reading relation 181868387
  51. Mon Sep  2 08:16:09 2019  error -15 reading relation 186515957
  52. Mon Sep  2 08:17:23 2019  skipped 148 relations with b > 2^32
  53. Mon Sep  2 08:17:23 2019  skipped 10 relations with composite factors
  54. Mon Sep  2 08:17:23 2019  found 8307754 hash collisions in 194594650 relations
  55. Mon Sep  2 08:17:23 2019  commencing duplicate removal, pass 2
  56. Mon Sep  2 08:18:13 2019  found 0 duplicates and 194594650 unique relations
  57. Mon Sep  2 08:18:13 2019  memory use: 522.4 MB
  58. Mon Sep  2 08:18:13 2019  reading ideals above 133890048
  59. Mon Sep  2 08:18:13 2019  commencing singleton removal, initial pass
  60. Mon Sep  2 08:34:33 2019  memory use: 5512.0 MB
  61. Mon Sep  2 08:34:33 2019  reading all ideals from disk
  62. Mon Sep  2 08:34:40 2019  memory use: 3814.5 MB
  63. Mon Sep  2 08:34:47 2019  commencing in-memory singleton removal
  64. Mon Sep  2 08:34:54 2019  begin with 194594650 relations and 165239220 unique ideals
  65. Mon Sep  2 08:36:28 2019  reduce to 129529380 relations and 93785286 ideals in 16 passes
  66. Mon Sep  2 08:36:28 2019  max relations containing the same ideal: 60
  67. Mon Sep  2 08:36:35 2019  reading ideals above 720000
  68. Mon Sep  2 08:36:35 2019  commencing singleton removal, initial pass
  69. Mon Sep  2 08:50:26 2019  memory use: 3012.0 MB
  70. Mon Sep  2 08:50:26 2019  reading all ideals from disk
  71. Mon Sep  2 08:50:37 2019  memory use: 5188.5 MB
  72. Mon Sep  2 08:50:50 2019  keeping 108299863 ideals with weight <= 200, target excess is 656378
  73. Mon Sep  2 08:51:04 2019  commencing in-memory singleton removal
  74. Mon Sep  2 08:51:15 2019  begin with 129529380 relations and 108299863 unique ideals
  75. Mon Sep  2 08:52:06 2019  reduce to 129529363 relations and 108299846 ideals in 5 passes
  76. Mon Sep  2 08:52:06 2019  max relations containing the same ideal: 200
  77. Mon Sep  2 08:52:57 2019  removing 11376001 relations and 9376001 ideals in 2000000 cliques
  78. Mon Sep  2 08:53:00 2019  commencing in-memory singleton removal
  79. Mon Sep  2 08:53:10 2019  begin with 118153362 relations and 108299846 unique ideals
  80. Mon Sep  2 08:54:24 2019  reduce to 117333178 relations and 98086442 ideals in 8 passes
  81. Mon Sep  2 08:54:24 2019  max relations containing the same ideal: 197
  82. Mon Sep  2 08:55:10 2019  removing 8686494 relations and 6686494 ideals in 2000000 cliques
  83. Mon Sep  2 08:55:12 2019  commencing in-memory singleton removal
  84. Mon Sep  2 08:55:21 2019  begin with 108646684 relations and 98086442 unique ideals
  85. Mon Sep  2 08:56:29 2019  reduce to 108111823 relations and 90855530 ideals in 8 passes
  86. Mon Sep  2 08:56:29 2019  max relations containing the same ideal: 191
  87. Mon Sep  2 08:57:11 2019  removing 7863088 relations and 5863088 ideals in 2000000 cliques
  88. Mon Sep  2 08:57:14 2019  commencing in-memory singleton removal
  89. Mon Sep  2 08:57:22 2019  begin with 100248735 relations and 90855530 unique ideals
  90. Mon Sep  2 08:58:23 2019  reduce to 99781695 relations and 84517124 ideals in 8 passes
  91. Mon Sep  2 08:58:23 2019  max relations containing the same ideal: 181
  92. Mon Sep  2 08:59:02 2019  removing 7435499 relations and 5435499 ideals in 2000000 cliques
  93. Mon Sep  2 08:59:05 2019  commencing in-memory singleton removal
  94. Mon Sep  2 08:59:12 2019  begin with 92346196 relations and 84517124 unique ideals
  95. Mon Sep  2 09:00:01 2019  reduce to 91909522 relations and 78636713 ideals in 7 passes
  96. Mon Sep  2 09:00:01 2019  max relations containing the same ideal: 175
  97. Mon Sep  2 09:00:37 2019  removing 7159815 relations and 5159815 ideals in 2000000 cliques
  98. Mon Sep  2 09:00:39 2019  commencing in-memory singleton removal
  99. Mon Sep  2 09:00:46 2019  begin with 84749707 relations and 78636713 unique ideals
  100. Mon Sep  2 09:01:30 2019  reduce to 84323522 relations and 73042194 ideals in 7 passes
  101. Mon Sep  2 09:01:30 2019  max relations containing the same ideal: 166
  102. Mon Sep  2 09:02:03 2019  removing 6974025 relations and 4974025 ideals in 2000000 cliques
  103. Mon Sep  2 09:02:05 2019  commencing in-memory singleton removal
  104. Mon Sep  2 09:02:11 2019  begin with 77349497 relations and 73042194 unique ideals
  105. Mon Sep  2 09:02:52 2019  reduce to 76919579 relations and 67629157 ideals in 7 passes
  106. Mon Sep  2 09:02:52 2019  max relations containing the same ideal: 154
  107. Mon Sep  2 09:03:22 2019  removing 6841652 relations and 4841652 ideals in 2000000 cliques
  108. Mon Sep  2 09:03:24 2019  commencing in-memory singleton removal
  109. Mon Sep  2 09:03:29 2019  begin with 70077927 relations and 67629157 unique ideals
  110. Mon Sep  2 09:04:06 2019  reduce to 69633247 relations and 62332539 ideals in 7 passes
  111. Mon Sep  2 09:04:06 2019  max relations containing the same ideal: 142
  112. Mon Sep  2 09:04:33 2019  removing 6751612 relations and 4751612 ideals in 2000000 cliques
  113. Mon Sep  2 09:04:35 2019  commencing in-memory singleton removal
  114. Mon Sep  2 09:04:39 2019  begin with 62881635 relations and 62332539 unique ideals
  115. Mon Sep  2 09:05:21 2019  reduce to 62409682 relations and 57097397 ideals in 9 passes
  116. Mon Sep  2 09:05:21 2019  max relations containing the same ideal: 135
  117. Mon Sep  2 09:05:45 2019  removing 6694629 relations and 4694629 ideals in 2000000 cliques
  118. Mon Sep  2 09:05:47 2019  commencing in-memory singleton removal
  119. Mon Sep  2 09:05:51 2019  begin with 55715053 relations and 57097397 unique ideals
  120. Mon Sep  2 09:06:18 2019  reduce to 55197982 relations and 51871333 ideals in 7 passes
  121. Mon Sep  2 09:06:18 2019  max relations containing the same ideal: 124
  122. Mon Sep  2 09:06:39 2019  removing 6681890 relations and 4681890 ideals in 2000000 cliques
  123. Mon Sep  2 09:06:41 2019  commencing in-memory singleton removal
  124. Mon Sep  2 09:06:44 2019  begin with 48516092 relations and 51871333 unique ideals
  125. Mon Sep  2 09:07:11 2019  reduce to 47919724 relations and 46574352 ideals in 8 passes
  126. Mon Sep  2 09:07:11 2019  max relations containing the same ideal: 110
  127. Mon Sep  2 09:07:29 2019  removing 2495994 relations and 1912021 ideals in 583973 cliques
  128. Mon Sep  2 09:07:30 2019  commencing in-memory singleton removal
  129. Mon Sep  2 09:07:33 2019  begin with 45423730 relations and 46574352 unique ideals
  130. Mon Sep  2 09:07:51 2019  reduce to 45328744 relations and 44566261 ideals in 6 passes
  131. Mon Sep  2 09:07:51 2019  max relations containing the same ideal: 107
  132. Mon Sep  2 09:08:14 2019  relations with 0 large ideals: 49862
  133. Mon Sep  2 09:08:14 2019  relations with 1 large ideals: 9689
  134. Mon Sep  2 09:08:14 2019  relations with 2 large ideals: 101500
  135. Mon Sep  2 09:08:14 2019  relations with 3 large ideals: 734153
  136. Mon Sep  2 09:08:14 2019  relations with 4 large ideals: 2972102
  137. Mon Sep  2 09:08:14 2019  relations with 5 large ideals: 7273991
  138. Mon Sep  2 09:08:14 2019  relations with 6 large ideals: 11255529
  139. Mon Sep  2 09:08:14 2019  relations with 7+ large ideals: 22931918
  140. Mon Sep  2 09:08:14 2019  commencing 2-way merge
  141. Mon Sep  2 09:08:36 2019  reduce to 30866806 relation sets and 30104323 unique ideals
  142. Mon Sep  2 09:08:36 2019  commencing full merge
  143. Mon Sep  2 09:18:09 2019  memory use: 4037.4 MB
  144. Mon Sep  2 09:18:11 2019  found 13880342 cycles, need 13864523
  145. Mon Sep  2 09:18:15 2019  weight of 13864523 cycles is about 1608404562 (116.01/cycle)
  146. Mon Sep  2 09:18:15 2019  distribution of cycle lengths:
  147. Mon Sep  2 09:18:15 2019  1 relations: 652063
  148. Mon Sep  2 09:18:15 2019  2 relations: 846547
  149. Mon Sep  2 09:18:15 2019  3 relations: 982694
  150. Mon Sep  2 09:18:15 2019  4 relations: 1023137
  151. Mon Sep  2 09:18:15 2019  5 relations: 1040169
  152. Mon Sep  2 09:18:15 2019  6 relations: 1019650
  153. Mon Sep  2 09:18:15 2019  7 relations: 992157
  154. Mon Sep  2 09:18:15 2019  8 relations: 942761
  155. Mon Sep  2 09:18:15 2019  9 relations: 884266
  156. Mon Sep  2 09:18:15 2019  10+ relations: 5481079
  157. Mon Sep  2 09:18:15 2019  heaviest cycle: 28 relations
  158. Mon Sep  2 09:18:19 2019  commencing cycle optimization
  159. Mon Sep  2 09:18:40 2019  start with 122347804 relations
  160. Mon Sep  2 09:22:26 2019  pruned 5727843 relations
  161. Mon Sep  2 09:22:26 2019  memory use: 3151.4 MB
  162. Mon Sep  2 09:22:26 2019  distribution of cycle lengths:
  163. Mon Sep  2 09:22:26 2019  1 relations: 652063
  164. Mon Sep  2 09:22:26 2019  2 relations: 866586
  165. Mon Sep  2 09:22:26 2019  3 relations: 1023867
  166. Mon Sep  2 09:22:26 2019  4 relations: 1066809
  167. Mon Sep  2 09:22:26 2019  5 relations: 1093527
  168. Mon Sep  2 09:22:26 2019  6 relations: 1069737
  169. Mon Sep  2 09:22:26 2019  7 relations: 1043459
  170. Mon Sep  2 09:22:26 2019  8 relations: 987011
  171. Mon Sep  2 09:22:26 2019  9 relations: 923956
  172. Mon Sep  2 09:22:26 2019  10+ relations: 5137508
  173. Mon Sep  2 09:22:26 2019  heaviest cycle: 28 relations
  174. Mon Sep  2 09:22:50 2019  RelProcTime: 5260
  175. Mon Sep  2 09:22:50 2019  
  176. Mon Sep  2 09:22:50 2019  commencing linear algebra
  177. Mon Sep  2 09:22:51 2019  read 13864523 cycles
  178. Mon Sep  2 09:23:13 2019  cycles contain 44940791 unique relations
  179. Mon Sep  2 09:26:42 2019  read 44940791 relations
  180. Mon Sep  2 09:27:54 2019  using 20 quadratic characters above 4294917295
  181. Mon Sep  2 09:30:25 2019  building initial matrix
  182. Mon Sep  2 09:37:17 2019  memory use: 5641.5 MB
  183. Mon Sep  2 09:37:22 2019  read 13864523 cycles
  184. Mon Sep  2 09:37:24 2019  matrix is 13864346 x 13864523 (6316.8 MB) with weight 1793088783 (129.33/col)
  185. Mon Sep  2 09:37:24 2019  sparse part has weight 1503403817 (108.44/col)
  186. Mon Sep  2 09:39:54 2019  filtering completed in 2 passes
  187. Mon Sep  2 09:39:56 2019  matrix is 13864229 x 13864406 (6316.8 MB) with weight 1793085569 (129.33/col)
  188. Mon Sep  2 09:39:56 2019  sparse part has weight 1503403055 (108.44/col)
  189. Mon Sep  2 09:40:29 2019  matrix starts at (0, 0)
  190. Mon Sep  2 09:40:31 2019  matrix is 13864229 x 13864406 (6316.8 MB) with weight 1793085569 (129.33/col)
  191. Mon Sep  2 09:40:31 2019  sparse part has weight 1503403055 (108.44/col)
  192. Mon Sep  2 09:40:31 2019  saving the first 48 matrix rows for later
  193. Mon Sep  2 09:40:33 2019  matrix includes 64 packed rows
  194. Mon Sep  2 09:40:35 2019  matrix is 13864181 x 13864406 (6046.3 MB) with weight 1545820448 (111.50/col)
  195. Mon Sep  2 09:40:35 2019  sparse part has weight 1446344578 (104.32/col)
  196. Mon Sep  2 09:40:35 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  197. Mon Sep  2 09:41:22 2019  commencing Lanczos iteration (4 threads)
  198. Mon Sep  2 09:41:22 2019  memory use: 5827.3 MB
  199. Mon Sep  2 09:42:22 2019  linear algebra at 0.0%, ETA 144h30m
  200. Mon Sep  2 09:42:41 2019  checkpointing every 100000 dimensions
  201. Sat Sep  7 20:51:45 2019  lanczos halted after 219253 iterations (dim = 13864179)
  202. Sat Sep  7 20:52:11 2019  recovered 40 nontrivial dependencies
  203. Sat Sep  7 20:52:11 2019  BLanczosTime: 473361
  204. Sat Sep  7 20:52:11 2019  
  205. Sat Sep  7 20:52:11 2019  commencing square root phase
  206. Sat Sep  7 20:52:11 2019  handling dependencies 1 to 64
  207. Sat Sep  7 20:52:11 2019  reading relations for dependency 1
  208. Sat Sep  7 20:52:13 2019  read 6929971 cycles
  209. Sat Sep  7 20:52:24 2019  cycles contain 22470858 unique relations
  210. Sat Sep  7 20:54:52 2019  read 22470858 relations
  211. Sat Sep  7 20:56:28 2019  multiplying 22470858 relations
  212. Sat Sep  7 21:13:27 2019  multiply complete, coefficients have about 567.93 million bits
  213. Sat Sep  7 21:13:31 2019  initial square root is modulo 124561
  214. Sat Sep  7 21:31:43 2019  sqrtTime: 2372
  215. Sat Sep  7 21:31:43 2019  p68 factor: 47102571662223452672429001154028884651215430388588045748629362548601
  216. Sat Sep  7 21:31:43 2019  p103 factor: 1696598879498600062707607729015720466970245397623430033095242664566992283758934332321383009884792434001
  217. Sat Sep  7 21:31:43 2019  elapsed time 133:36:33
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