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Nov 23rd, 2017
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  1. Sun Nov 19 17:10:17 2017
  2. Sun Nov 19 17:10:17 2017
  3. Sun Nov 19 17:10:17 2017 Msieve v. 1.53 (SVN unknown)
  4. Sun Nov 19 17:10:17 2017 random seeds: 5bc340b4 8296828e
  5. Sun Nov 19 17:10:17 2017 factoring 91060763720165285377126505346228004279903307122504528499932944253467342888175907056006335483372796817256769904597568172354122587753038076018610501045590574766358742576863849746407907427282492810892905070774060374711787371 (221 digits)
  6. Sun Nov 19 17:10:19 2017 searching for 15-digit factors
  7. Sun Nov 19 17:10:20 2017 commencing number field sieve (221-digit input)
  8. Sun Nov 19 17:10:20 2017 R0: 47306791574323349111302419726723197703462364929251918941
  9. Sun Nov 19 17:10:20 2017 R1: -1
  10. Sun Nov 19 17:10:20 2017 A0: 1
  11. Sun Nov 19 17:10:20 2017 A1: 1
  12. Sun Nov 19 17:10:20 2017 A2: 1
  13. Sun Nov 19 17:10:20 2017 A3: 1
  14. Sun Nov 19 17:10:20 2017 A4: 1
  15. Sun Nov 19 17:10:20 2017 skew 1.00, size 1.099e-22, alpha 1.694, combined = 1.583e-13 rroots = 0
  16. Sun Nov 19 17:10:20 2017
  17. Sun Nov 19 17:10:20 2017 commencing relation filtering
  18. Sun Nov 19 17:10:20 2017 setting target matrix density to 100.0
  19. Sun Nov 19 17:10:20 2017 estimated available RAM is 32721.3 MB
  20. Sun Nov 19 17:10:20 2017 commencing duplicate removal, pass 1
  21. Sun Nov 19 17:13:12 2017 error -1 reading relation 11856379
  22. Sun Nov 19 17:13:24 2017 error -9 reading relation 12653175
  23. Sun Nov 19 17:13:28 2017 error -9 reading relation 12898078
  24. Sun Nov 19 17:13:31 2017 error -15 reading relation 13104079
  25. Sun Nov 19 17:13:31 2017 error -9 reading relation 13129128
  26. Sun Nov 19 17:14:28 2017 error -9 reading relation 17051848
  27. Sun Nov 19 18:21:12 2017 error -1 reading relation 289167630
  28. Sun Nov 19 18:21:12 2017 error -1 reading relation 289168528
  29. Sun Nov 19 18:21:12 2017 error -1 reading relation 289173846
  30. Sun Nov 19 18:21:14 2017 error -15 reading relation 289283094
  31. Sun Nov 19 18:21:15 2017 error -15 reading relation 289377849
  32. Sun Nov 19 18:21:15 2017 error -9 reading relation 289390814
  33. Sun Nov 19 18:21:15 2017 error -15 reading relation 289391240
  34. Sun Nov 19 18:22:13 2017 skipped 2355 relations with b > 2^32
  35. Sun Nov 19 18:22:13 2017 skipped 12415 relations with composite factors
  36. Sun Nov 19 18:22:13 2017 found 41419999 hash collisions in 293195900 relations
  37. Sun Nov 19 18:22:13 2017 commencing duplicate removal, pass 2
  38. Sun Nov 19 18:27:30 2017 found 31229204 duplicates and 261966696 unique relations
  39. Sun Nov 19 18:27:30 2017 memory use: 1321.5 MB
  40. Sun Nov 19 18:27:30 2017 reading ideals above 90112000
  41. Sun Nov 19 18:27:30 2017 commencing singleton removal, initial pass
  42. Sun Nov 19 19:15:33 2017 memory use: 6024.0 MB
  43. Sun Nov 19 19:15:33 2017 reading all ideals from disk
  44. Sun Nov 19 19:15:36 2017 memory use: 4793.3 MB
  45. Sun Nov 19 19:15:47 2017 commencing in-memory singleton removal
  46. Sun Nov 19 19:15:58 2017 begin with 261966696 relations and 267161202 unique ideals
  47. Sun Nov 19 19:18:06 2017 reduce to 102359277 relations and 78012481 ideals in 22 passes
  48. Sun Nov 19 19:18:06 2017 max relations containing the same ideal: 25
  49. Sun Nov 19 19:18:16 2017 reading ideals above 720000
  50. Sun Nov 19 19:18:16 2017 commencing singleton removal, initial pass
  51. Sun Nov 19 19:41:44 2017 memory use: 2756.0 MB
  52. Sun Nov 19 19:41:44 2017 reading all ideals from disk
  53. Sun Nov 19 19:41:46 2017 memory use: 3995.9 MB
  54. Sun Nov 19 19:41:57 2017 keeping 87896939 ideals with weight <= 200, target excess is 561438
  55. Sun Nov 19 19:42:10 2017 commencing in-memory singleton removal
  56. Sun Nov 19 19:42:18 2017 begin with 102359278 relations and 87896939 unique ideals
  57. Sun Nov 19 19:43:07 2017 reduce to 102358848 relations and 87896507 ideals in 5 passes
  58. Sun Nov 19 19:43:07 2017 max relations containing the same ideal: 200
  59. Sun Nov 19 19:43:59 2017 removing 14352469 relations and 12352469 ideals in 2000000 cliques
  60. Sun Nov 19 19:44:04 2017 commencing in-memory singleton removal
  61. Sun Nov 19 19:44:12 2017 begin with 88006379 relations and 87896507 unique ideals
  62. Sun Nov 19 19:45:34 2017 reduce to 86558310 relations and 74057894 ideals in 10 passes
  63. Sun Nov 19 19:45:34 2017 max relations containing the same ideal: 189
  64. Sun Nov 19 19:46:19 2017 removing 10398741 relations and 8398741 ideals in 2000000 cliques
  65. Sun Nov 19 19:46:22 2017 commencing in-memory singleton removal
  66. Sun Nov 19 19:46:29 2017 begin with 76159569 relations and 74057894 unique ideals
  67. Sun Nov 19 19:47:38 2017 reduce to 75213215 relations and 64690165 ideals in 10 passes
  68. Sun Nov 19 19:47:38 2017 max relations containing the same ideal: 173
  69. Sun Nov 19 19:48:17 2017 removing 9191158 relations and 7191158 ideals in 2000000 cliques
  70. Sun Nov 19 19:48:20 2017 commencing in-memory singleton removal
  71. Sun Nov 19 19:48:26 2017 begin with 66022057 relations and 64690165 unique ideals
  72. Sun Nov 19 19:49:20 2017 reduce to 65156587 relations and 56611245 ideals in 9 passes
  73. Sun Nov 19 19:49:20 2017 max relations containing the same ideal: 160
  74. Sun Nov 19 19:49:54 2017 removing 8582580 relations and 6582580 ideals in 2000000 cliques
  75. Sun Nov 19 19:49:57 2017 commencing in-memory singleton removal
  76. Sun Nov 19 19:50:02 2017 begin with 56574007 relations and 56611245 unique ideals
  77. Sun Nov 19 19:50:53 2017 reduce to 55707520 relations and 49137109 ideals in 10 passes
  78. Sun Nov 19 19:50:53 2017 max relations containing the same ideal: 147
  79. Sun Nov 19 19:51:22 2017 removing 8230348 relations and 6230348 ideals in 2000000 cliques
  80. Sun Nov 19 19:51:24 2017 commencing in-memory singleton removal
  81. Sun Nov 19 19:51:28 2017 begin with 47477172 relations and 49137109 unique ideals
  82. Sun Nov 19 19:52:06 2017 reduce to 46552284 relations and 41951319 ideals in 9 passes
  83. Sun Nov 19 19:52:06 2017 max relations containing the same ideal: 126
  84. Sun Nov 19 19:52:30 2017 removing 8012622 relations and 6012622 ideals in 2000000 cliques
  85. Sun Nov 19 19:52:33 2017 commencing in-memory singleton removal
  86. Sun Nov 19 19:52:36 2017 begin with 38539662 relations and 41951319 unique ideals
  87. Sun Nov 19 19:53:05 2017 reduce to 37494050 relations and 34851715 ideals in 9 passes
  88. Sun Nov 19 19:53:05 2017 max relations containing the same ideal: 109
  89. Sun Nov 19 19:53:25 2017 removing 7840753 relations and 5849687 ideals in 1991066 cliques
  90. Sun Nov 19 19:53:28 2017 commencing in-memory singleton removal
  91. Sun Nov 19 19:53:30 2017 begin with 29653297 relations and 34851715 unique ideals
  92. Sun Nov 19 19:53:52 2017 reduce to 28408195 relations and 27695368 ideals in 9 passes
  93. Sun Nov 19 19:53:52 2017 max relations containing the same ideal: 92
  94. Sun Nov 19 19:54:08 2017 removing 508403 relations and 446845 ideals in 61558 cliques
  95. Sun Nov 19 19:54:08 2017 commencing in-memory singleton removal
  96. Sun Nov 19 19:54:10 2017 begin with 27899792 relations and 27695368 unique ideals
  97. Sun Nov 19 19:54:27 2017 reduce to 27894051 relations and 27242769 ideals in 7 passes
  98. Sun Nov 19 19:54:27 2017 max relations containing the same ideal: 91
  99. Sun Nov 19 19:54:34 2017 relations with 0 large ideals: 39996
  100. Sun Nov 19 19:54:34 2017 relations with 1 large ideals: 5996
  101. Sun Nov 19 19:54:34 2017 relations with 2 large ideals: 75084
  102. Sun Nov 19 19:54:34 2017 relations with 3 large ideals: 564907
  103. Sun Nov 19 19:54:34 2017 relations with 4 large ideals: 2284404
  104. Sun Nov 19 19:54:34 2017 relations with 5 large ideals: 6326612
  105. Sun Nov 19 19:54:34 2017 relations with 6 large ideals: 7225600
  106. Sun Nov 19 19:54:34 2017 relations with 7+ large ideals: 11371452
  107. Sun Nov 19 19:54:34 2017 commencing 2-way merge
  108. Sun Nov 19 19:54:53 2017 reduce to 16438167 relation sets and 15786885 unique ideals
  109. Sun Nov 19 19:54:53 2017 commencing full merge
  110. Sun Nov 19 20:01:54 2017 memory use: 2105.3 MB
  111. Sun Nov 19 20:01:57 2017 found 7861165 cycles, need 7821085
  112. Sun Nov 19 20:01:57 2017 weight of 7821085 cycles is about 782695973 (100.08/cycle)
  113. Sun Nov 19 20:01:57 2017 distribution of cycle lengths:
  114. Sun Nov 19 20:01:57 2017 1 relations: 596824
  115. Sun Nov 19 20:01:57 2017 2 relations: 618862
  116. Sun Nov 19 20:01:57 2017 3 relations: 622484
  117. Sun Nov 19 20:01:57 2017 4 relations: 620522
  118. Sun Nov 19 20:01:57 2017 5 relations: 607105
  119. Sun Nov 19 20:01:57 2017 6 relations: 579581
  120. Sun Nov 19 20:01:57 2017 7 relations: 547739
  121. Sun Nov 19 20:01:57 2017 8 relations: 509314
  122. Sun Nov 19 20:01:57 2017 9 relations: 465910
  123. Sun Nov 19 20:01:57 2017 10+ relations: 2652744
  124. Sun Nov 19 20:01:57 2017 heaviest cycle: 28 relations
  125. Sun Nov 19 20:01:59 2017 commencing cycle optimization
  126. Sun Nov 19 20:02:13 2017 start with 62684636 relations
  127. Sun Nov 19 20:04:54 2017 pruned 2219655 relations
  128. Sun Nov 19 20:04:54 2017 memory use: 1787.6 MB
  129. Sun Nov 19 20:04:54 2017 distribution of cycle lengths:
  130. Sun Nov 19 20:04:54 2017 1 relations: 596824
  131. Sun Nov 19 20:04:54 2017 2 relations: 629303
  132. Sun Nov 19 20:04:54 2017 3 relations: 643313
  133. Sun Nov 19 20:04:54 2017 4 relations: 639883
  134. Sun Nov 19 20:04:54 2017 5 relations: 629861
  135. Sun Nov 19 20:04:54 2017 6 relations: 600103
  136. Sun Nov 19 20:04:54 2017 7 relations: 568480
  137. Sun Nov 19 20:04:54 2017 8 relations: 525830
  138. Sun Nov 19 20:04:54 2017 9 relations: 479060
  139. Sun Nov 19 20:04:54 2017 10+ relations: 2508428
  140. Sun Nov 19 20:04:54 2017 heaviest cycle: 28 relations
  141. Sun Nov 19 20:05:07 2017 RelProcTime: 10487
  142. Sun Nov 19 20:05:07 2017
  143. Sun Nov 19 20:05:07 2017 commencing linear algebra
  144. Sun Nov 19 20:05:08 2017 read 7821085 cycles
  145. Sun Nov 19 20:05:27 2017 cycles contain 27416445 unique relations
  146. Sun Nov 19 20:11:27 2017 read 27416445 relations
  147. Sun Nov 19 20:12:23 2017 using 20 quadratic characters above 4294917295
  148. Sun Nov 19 20:14:24 2017 building initial matrix
  149. Sun Nov 19 20:19:33 2017 memory use: 3379.7 MB
  150. Sun Nov 19 20:19:54 2017 read 7821085 cycles
  151. Sun Nov 19 20:19:56 2017 matrix is 7820907 x 7821085 (3174.5 MB) with weight 912067262 (116.62/col)
  152. Sun Nov 19 20:19:56 2017 sparse part has weight 746155375 (95.40/col)
  153. Sun Nov 19 20:21:43 2017 filtering completed in 2 passes
  154. Sun Nov 19 20:21:46 2017 matrix is 7820209 x 7820387 (3174.5 MB) with weight 912043404 (116.62/col)
  155. Sun Nov 19 20:21:46 2017 sparse part has weight 746146842 (95.41/col)
  156. Sun Nov 19 20:22:07 2017 matrix starts at (0, 0)
  157. Sun Nov 19 20:22:10 2017 matrix is 7820209 x 7820387 (3174.5 MB) with weight 912043404 (116.62/col)
  158. Sun Nov 19 20:22:10 2017 sparse part has weight 746146842 (95.41/col)
  159. Sun Nov 19 20:22:10 2017 saving the first 48 matrix rows for later
  160. Sun Nov 19 20:22:12 2017 matrix includes 64 packed rows
  161. Sun Nov 19 20:22:14 2017 matrix is 7820161 x 7820387 (3039.1 MB) with weight 771249448 (98.62/col)
  162. Sun Nov 19 20:22:14 2017 sparse part has weight 718469360 (91.87/col)
  163. Sun Nov 19 20:22:14 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  164. Sun Nov 19 20:23:01 2017 commencing Lanczos iteration (6 threads)
  165. Sun Nov 19 20:23:01 2017 memory use: 2569.9 MB
  166. Sun Nov 19 20:23:38 2017 linear algebra at 0.0%, ETA 50h 4m
  167. Sun Nov 19 20:23:50 2017 checkpointing every 160000 dimensions
  168. Tue Nov 21 23:55:05 2017 lanczos halted after 123670 iterations (dim = 7820159)
  169. Tue Nov 21 23:55:15 2017 recovered 35 nontrivial dependencies
  170. Tue Nov 21 23:55:22 2017 BLanczosTime: 186615
  171. Tue Nov 21 23:55:22 2017
  172. Tue Nov 21 23:55:22 2017 commencing square root phase
  173. Tue Nov 21 23:55:22 2017 handling dependencies 1 to 64
  174. Tue Nov 21 23:55:22 2017 reading relations for dependency 1
  175. Tue Nov 21 23:55:24 2017 read 3911330 cycles
  176. Tue Nov 21 23:55:33 2017 cycles contain 13710056 unique relations
  177. Wed Nov 22 00:02:20 2017 read 13710056 relations
  178. Wed Nov 22 00:03:39 2017 multiplying 13710056 relations
  179. Wed Nov 22 00:08:36 2017 multiply complete, coefficients have about 357.49 million bits
  180. Wed Nov 22 00:08:38 2017 initial square root is modulo 2597093
  181. Wed Nov 22 00:15:35 2017 sqrtTime: 1213
  182. Wed Nov 22 00:15:35 2017 p47 factor: 21772216960834806224487967871473176857756729891
  183. Wed Nov 22 00:15:35 2017 p175 factor: 4182429556161917245112740601227598656069592376981401111311120523661003885031813158680936757414863529587165418173365083289474648930625024240428689551999738035829245075739168281
  184. Wed Nov 22 00:15:35 2017 elapsed time 55:05:18
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