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C169_2158316902961_17

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Oct 31st, 2017
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  1. Fri Oct 27 13:59:29 2017 Msieve v. 1.53 (SVN unknown)
  2. Fri Oct 27 13:59:29 2017 random seeds: 904d8ccc ee79f2b5
  3. Fri Oct 27 13:59:29 2017 factoring 6097289438711591127192360365762092054453165416495578597850906208624110004316023950433701371920699269920504667155602550087593939166837800663343603937040353385051250033689 (169 digits)
  4. Fri Oct 27 13:59:29 2017 searching for 15-digit factors
  5. Fri Oct 27 13:59:30 2017 commencing number field sieve (169-digit input)
  6. Fri Oct 27 13:59:30 2017 R0: -10054156379241985814632159892175329681
  7. Fri Oct 27 13:59:30 2017 R1: 1
  8. Fri Oct 27 13:59:30 2017 A0: -2158316902961
  9. Fri Oct 27 13:59:30 2017 A1: 0
  10. Fri Oct 27 13:59:30 2017 A2: 0
  11. Fri Oct 27 13:59:30 2017 A3: 0
  12. Fri Oct 27 13:59:30 2017 A4: 0
  13. Fri Oct 27 13:59:30 2017 A5: 0
  14. Fri Oct 27 13:59:30 2017 A6: 1
  15. Fri Oct 27 13:59:30 2017 skew 113.68, size 2.784e-12, alpha 1.272, combined = 2.613e-13 rroots = 2
  16. Fri Oct 27 13:59:30 2017
  17. Fri Oct 27 13:59:30 2017 commencing relation filtering
  18. Fri Oct 27 13:59:30 2017 setting target matrix density to 120.0
  19. Fri Oct 27 13:59:30 2017 estimated available RAM is 15997.3 MB
  20. Fri Oct 27 13:59:30 2017 commencing duplicate removal, pass 1
  21. Fri Oct 27 14:21:42 2017 error -11 reading relation 173958932
  22. Fri Oct 27 14:22:13 2017 error -11 reading relation 177406833
  23. Fri Oct 27 14:22:58 2017 skipped 1 relations with b > 2^32
  24. Fri Oct 27 14:22:58 2017 skipped 4 relations with composite factors
  25. Fri Oct 27 14:22:58 2017 found 7256027 hash collisions in 181526667 relations
  26. Fri Oct 27 14:23:10 2017 commencing duplicate removal, pass 2
  27. Fri Oct 27 14:24:55 2017 found 0 duplicates and 181526667 unique relations
  28. Fri Oct 27 14:24:55 2017 memory use: 522.4 MB
  29. Fri Oct 27 14:24:55 2017 reading ideals above 134021120
  30. Fri Oct 27 14:24:55 2017 commencing singleton removal, initial pass
  31. Fri Oct 27 14:43:40 2017 memory use: 3012.0 MB
  32. Fri Oct 27 14:43:41 2017 reading all ideals from disk
  33. Fri Oct 27 14:43:49 2017 memory use: 3321.6 MB
  34. Fri Oct 27 14:43:59 2017 commencing in-memory singleton removal
  35. Fri Oct 27 14:44:07 2017 begin with 181526667 relations and 157978041 unique ideals
  36. Fri Oct 27 14:45:25 2017 reduce to 109775329 relations and 78143814 ideals in 17 passes
  37. Fri Oct 27 14:45:25 2017 max relations containing the same ideal: 40
  38. Fri Oct 27 14:45:29 2017 reading ideals above 720000
  39. Fri Oct 27 14:45:30 2017 commencing singleton removal, initial pass
  40. Fri Oct 27 15:00:14 2017 memory use: 2756.0 MB
  41. Fri Oct 27 15:00:14 2017 reading all ideals from disk
  42. Fri Oct 27 15:00:25 2017 memory use: 4326.3 MB
  43. Fri Oct 27 15:00:40 2017 keeping 92761231 ideals with weight <= 200, target excess is 563151
  44. Fri Oct 27 15:00:55 2017 commencing in-memory singleton removal
  45. Fri Oct 27 15:01:04 2017 begin with 109775329 relations and 92761231 unique ideals
  46. Fri Oct 27 15:02:31 2017 reduce to 109772611 relations and 92758513 ideals in 8 passes
  47. Fri Oct 27 15:02:31 2017 max relations containing the same ideal: 200
  48. Fri Oct 27 15:03:32 2017 removing 11605300 relations and 9605300 ideals in 2000000 cliques
  49. Fri Oct 27 15:03:36 2017 commencing in-memory singleton removal
  50. Fri Oct 27 15:03:46 2017 begin with 98167311 relations and 92758513 unique ideals
  51. Fri Oct 27 15:05:11 2017 reduce to 97269161 relations and 82234468 ideals in 9 passes
  52. Fri Oct 27 15:05:11 2017 max relations containing the same ideal: 193
  53. Fri Oct 27 15:06:05 2017 removing 8808673 relations and 6808673 ideals in 2000000 cliques
  54. Fri Oct 27 15:06:08 2017 commencing in-memory singleton removal
  55. Fri Oct 27 15:06:18 2017 begin with 88460488 relations and 82234468 unique ideals
  56. Fri Oct 27 15:07:23 2017 reduce to 87854857 relations and 74807754 ideals in 8 passes
  57. Fri Oct 27 15:07:23 2017 max relations containing the same ideal: 183
  58. Fri Oct 27 15:08:10 2017 removing 7968230 relations and 5968230 ideals in 2000000 cliques
  59. Fri Oct 27 15:08:13 2017 commencing in-memory singleton removal
  60. Fri Oct 27 15:08:21 2017 begin with 79886627 relations and 74807754 unique ideals
  61. Fri Oct 27 15:09:24 2017 reduce to 79341402 relations and 68282858 ideals in 8 passes
  62. Fri Oct 27 15:09:24 2017 max relations containing the same ideal: 172
  63. Fri Oct 27 15:10:06 2017 removing 7545883 relations and 5545883 ideals in 2000000 cliques
  64. Fri Oct 27 15:10:09 2017 commencing in-memory singleton removal
  65. Fri Oct 27 15:10:16 2017 begin with 71795519 relations and 68282858 unique ideals
  66. Fri Oct 27 15:11:15 2017 reduce to 71266885 relations and 62196567 ideals in 9 passes
  67. Fri Oct 27 15:11:15 2017 max relations containing the same ideal: 161
  68. Fri Oct 27 15:11:55 2017 removing 7288573 relations and 5288573 ideals in 2000000 cliques
  69. Fri Oct 27 15:11:58 2017 commencing in-memory singleton removal
  70. Fri Oct 27 15:12:04 2017 begin with 63978312 relations and 62196567 unique ideals
  71. Fri Oct 27 15:12:50 2017 reduce to 63441387 relations and 56357805 ideals in 8 passes
  72. Fri Oct 27 15:12:50 2017 max relations containing the same ideal: 150
  73. Fri Oct 27 15:13:26 2017 removing 7118961 relations and 5118961 ideals in 2000000 cliques
  74. Fri Oct 27 15:13:29 2017 commencing in-memory singleton removal
  75. Fri Oct 27 15:13:34 2017 begin with 56322426 relations and 56357805 unique ideals
  76. Fri Oct 27 15:14:12 2017 reduce to 55761348 relations and 50662439 ideals in 8 passes
  77. Fri Oct 27 15:14:12 2017 max relations containing the same ideal: 136
  78. Fri Oct 27 15:14:45 2017 removing 7006562 relations and 5006562 ideals in 2000000 cliques
  79. Fri Oct 27 15:14:48 2017 commencing in-memory singleton removal
  80. Fri Oct 27 15:14:52 2017 begin with 48754786 relations and 50662439 unique ideals
  81. Fri Oct 27 15:15:31 2017 reduce to 48146195 relations and 45028537 ideals in 9 passes
  82. Fri Oct 27 15:15:31 2017 max relations containing the same ideal: 122
  83. Fri Oct 27 15:15:53 2017 removing 6930744 relations and 4930744 ideals in 2000000 cliques
  84. Fri Oct 27 15:15:55 2017 commencing in-memory singleton removal
  85. Fri Oct 27 15:15:58 2017 begin with 41215451 relations and 45028537 unique ideals
  86. Fri Oct 27 15:16:21 2017 reduce to 40520833 relations and 39378384 ideals in 8 passes
  87. Fri Oct 27 15:16:21 2017 max relations containing the same ideal: 110
  88. Fri Oct 27 15:16:41 2017 removing 2253065 relations and 1763872 ideals in 489193 cliques
  89. Fri Oct 27 15:16:42 2017 commencing in-memory singleton removal
  90. Fri Oct 27 15:16:45 2017 begin with 38267768 relations and 39378384 unique ideals
  91. Fri Oct 27 15:17:05 2017 reduce to 38186398 relations and 37532291 ideals in 7 passes
  92. Fri Oct 27 15:17:05 2017 max relations containing the same ideal: 107
  93. Fri Oct 27 15:17:30 2017 relations with 0 large ideals: 21482
  94. Fri Oct 27 15:17:30 2017 relations with 1 large ideals: 5593
  95. Fri Oct 27 15:17:30 2017 relations with 2 large ideals: 83899
  96. Fri Oct 27 15:17:30 2017 relations with 3 large ideals: 631321
  97. Fri Oct 27 15:17:30 2017 relations with 4 large ideals: 2573153
  98. Fri Oct 27 15:17:30 2017 relations with 5 large ideals: 6301651
  99. Fri Oct 27 15:17:30 2017 relations with 6 large ideals: 9686508
  100. Fri Oct 27 15:17:30 2017 relations with 7+ large ideals: 18882791
  101. Fri Oct 27 15:17:30 2017 commencing 2-way merge
  102. Fri Oct 27 15:17:52 2017 reduce to 25141648 relation sets and 24487541 unique ideals
  103. Fri Oct 27 15:17:52 2017 commencing full merge
  104. Fri Oct 27 15:27:08 2017 memory use: 3274.6 MB
  105. Fri Oct 27 15:27:10 2017 found 11297160 cycles, need 11287741
  106. Fri Oct 27 15:27:13 2017 weight of 11287741 cycles is about 1354853846 (120.03/cycle)
  107. Fri Oct 27 15:27:13 2017 distribution of cycle lengths:
  108. Fri Oct 27 15:27:13 2017 1 relations: 488520
  109. Fri Oct 27 15:27:13 2017 2 relations: 674360
  110. Fri Oct 27 15:27:13 2017 3 relations: 781466
  111. Fri Oct 27 15:27:13 2017 4 relations: 807169
  112. Fri Oct 27 15:27:13 2017 5 relations: 823222
  113. Fri Oct 27 15:27:13 2017 6 relations: 813843
  114. Fri Oct 27 15:27:13 2017 7 relations: 798507
  115. Fri Oct 27 15:27:13 2017 8 relations: 761346
  116. Fri Oct 27 15:27:13 2017 9 relations: 717311
  117. Fri Oct 27 15:27:13 2017 10+ relations: 4621997
  118. Fri Oct 27 15:27:13 2017 heaviest cycle: 28 relations
  119. Fri Oct 27 15:27:16 2017 commencing cycle optimization
  120. Fri Oct 27 15:27:35 2017 start with 101792330 relations
  121. Fri Oct 27 15:31:07 2017 pruned 4744914 relations
  122. Fri Oct 27 15:31:07 2017 memory use: 2638.2 MB
  123. Fri Oct 27 15:31:07 2017 distribution of cycle lengths:
  124. Fri Oct 27 15:31:07 2017 1 relations: 488520
  125. Fri Oct 27 15:31:07 2017 2 relations: 691250
  126. Fri Oct 27 15:31:07 2017 3 relations: 814123
  127. Fri Oct 27 15:31:07 2017 4 relations: 841310
  128. Fri Oct 27 15:31:07 2017 5 relations: 865673
  129. Fri Oct 27 15:31:07 2017 6 relations: 853734
  130. Fri Oct 27 15:31:07 2017 7 relations: 839748
  131. Fri Oct 27 15:31:07 2017 8 relations: 797989
  132. Fri Oct 27 15:31:07 2017 9 relations: 751400
  133. Fri Oct 27 15:31:07 2017 10+ relations: 4343994
  134. Fri Oct 27 15:31:07 2017 heaviest cycle: 28 relations
  135. Fri Oct 27 15:31:27 2017 RelProcTime: 5517
  136. Fri Oct 27 15:31:27 2017
  137. Fri Oct 27 15:31:27 2017 commencing linear algebra
  138. Fri Oct 27 15:31:28 2017 read 11287741 cycles
  139. Fri Oct 27 15:31:49 2017 cycles contain 37835729 unique relations
  140. Fri Oct 27 15:34:50 2017 read 37835729 relations
  141. Fri Oct 27 15:35:54 2017 using 20 quadratic characters above 4294917295
  142. Fri Oct 27 15:38:07 2017 building initial matrix
  143. Fri Oct 27 15:44:20 2017 memory use: 4972.7 MB
  144. Fri Oct 27 15:44:24 2017 read 11287741 cycles
  145. Fri Oct 27 15:44:25 2017 matrix is 11287564 x 11287741 (5249.3 MB) with weight 1510419384 (133.81/col)
  146. Fri Oct 27 15:44:25 2017 sparse part has weight 1263184074 (111.91/col)
  147. Fri Oct 27 15:46:35 2017 filtering completed in 2 passes
  148. Fri Oct 27 15:46:37 2017 matrix is 11287502 x 11287679 (5249.3 MB) with weight 1510417386 (133.81/col)
  149. Fri Oct 27 15:46:37 2017 sparse part has weight 1263183482 (111.91/col)
  150. Fri Oct 27 15:47:08 2017 matrix starts at (0, 0)
  151. Fri Oct 27 15:47:09 2017 matrix is 11287502 x 11287679 (5249.3 MB) with weight 1510417386 (133.81/col)
  152. Fri Oct 27 15:47:09 2017 sparse part has weight 1263183482 (111.91/col)
  153. Fri Oct 27 15:47:09 2017 saving the first 48 matrix rows for later
  154. Fri Oct 27 15:47:11 2017 matrix includes 64 packed rows
  155. Fri Oct 27 15:47:12 2017 matrix is 11287454 x 11287679 (5061.4 MB) with weight 1291167584 (114.39/col)
  156. Fri Oct 27 15:47:12 2017 sparse part has weight 1213944532 (107.55/col)
  157. Fri Oct 27 15:47:13 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  158. Fri Oct 27 15:47:55 2017 commencing Lanczos iteration (4 threads)
  159. Fri Oct 27 15:47:55 2017 memory use: 4325.7 MB
  160. Fri Oct 27 15:48:50 2017 linear algebra at 0.0%, ETA 109h23m
  161. Fri Oct 27 15:49:11 2017 checkpointing every 100000 dimensions
  162. Tue Oct 31 03:34:13 2017 lanczos halted after 178498 iterations (dim = 11287450)
  163. Tue Oct 31 03:34:33 2017 recovered 35 nontrivial dependencies
  164. Tue Oct 31 03:34:33 2017 BLanczosTime: 302586
  165. Tue Oct 31 03:34:33 2017
  166. Tue Oct 31 03:34:33 2017 commencing square root phase
  167. Tue Oct 31 03:34:33 2017 handling dependencies 1 to 64
  168. Tue Oct 31 03:34:33 2017 reading relations for dependency 1
  169. Tue Oct 31 03:34:34 2017 read 5646072 cycles
  170. Tue Oct 31 03:34:43 2017 cycles contain 18919704 unique relations
  171. Tue Oct 31 03:36:18 2017 read 18919704 relations
  172. Tue Oct 31 03:37:20 2017 multiplying 18919704 relations
  173. Tue Oct 31 03:49:42 2017 multiply complete, coefficients have about 537.15 million bits
  174. Tue Oct 31 03:49:44 2017 initial square root is modulo 66037
  175. Tue Oct 31 04:03:22 2017 sqrtTime: 1729
  176. Tue Oct 31 04:03:22 2017 p58 factor: 5021316583534880940885444734079370333361932652310779490947
  177. Tue Oct 31 04:03:22 2017 p112 factor: 1214281023169276509053011690942441596344967221458926915648042712870516387083258213891473300070212158822642727987
  178. Tue Oct 31 04:03:22 2017 elapsed time 86:03:53
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