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May 27th, 2019
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  1. Sat May 18 07:52:14 2019
  2. Sat May 18 07:52:14 2019
  3. Sat May 18 07:52:14 2019 Msieve v. 1.54 (SVN 1025)
  4. Sat May 18 07:52:14 2019 random seeds: c118b880 b763b252
  5. Sat May 18 07:52:14 2019 factoring 169791969085999207867248452283732421786510717498537080084996386612648075115704811124910131894274192609389497770442693294589927087182201888695711693499397397876258295024783888763760957728796859158877857 (201 digits)
  6. Sat May 18 07:52:15 2019 searching for 15-digit factors
  7. Sat May 18 07:52:16 2019 commencing number field sieve (201-digit input)
  8. Sat May 18 07:52:16 2019 R0: 1224809639974238708818962962512535510581248
  9. Sat May 18 07:52:16 2019 R1: -909543680129861140820205019889143
  10. Sat May 18 07:52:16 2019 A0: 144
  11. Sat May 18 07:52:16 2019 A1: 0
  12. Sat May 18 07:52:16 2019 A2: 0
  13. Sat May 18 07:52:16 2019 A3: 0
  14. Sat May 18 07:52:16 2019 A4: 0
  15. Sat May 18 07:52:16 2019 A5: 0
  16. Sat May 18 07:52:16 2019 A6: 49
  17. Sat May 18 07:52:16 2019 skew 1.20, size 1.003e-12, alpha 0.270, combined = 1.200e-13 rroots = 0
  18. Sat May 18 07:52:16 2019
  19. Sat May 18 07:52:16 2019 commencing relation filtering
  20. Sat May 18 07:52:16 2019 setting target matrix density to 116.0
  21. Sat May 18 07:52:16 2019 estimated available RAM is 16007.4 MB
  22. Sat May 18 07:52:16 2019 commencing duplicate removal, pass 1
  23. Sat May 18 07:58:35 2019 error -1 reading relation 55444551
  24. Sat May 18 07:59:32 2019 error -15 reading relation 63719249
  25. Sat May 18 08:02:36 2019 error -11 reading relation 90101269
  26. Sat May 18 08:04:35 2019 error -5 reading relation 107005906
  27. Sat May 18 08:13:57 2019 skipped 168 relations with b > 2^32
  28. Sat May 18 08:13:57 2019 skipped 2 relations with composite factors
  29. Sat May 18 08:13:57 2019 found 7639317 hash collisions in 186274870 relations
  30. Sat May 18 08:14:11 2019 added 1218290 free relations
  31. Sat May 18 08:14:11 2019 commencing duplicate removal, pass 2
  32. Sat May 18 08:15:06 2019 found 0 duplicates and 187493160 unique relations
  33. Sat May 18 08:15:06 2019 memory use: 522.4 MB
  34. Sat May 18 08:15:07 2019 reading ideals above 131923968
  35. Sat May 18 08:15:07 2019 commencing singleton removal, initial pass
  36. Sat May 18 08:31:22 2019 memory use: 3012.0 MB
  37. Sat May 18 08:31:22 2019 reading all ideals from disk
  38. Sat May 18 08:31:30 2019 memory use: 3654.8 MB
  39. Sat May 18 08:31:36 2019 commencing in-memory singleton removal
  40. Sat May 18 08:31:43 2019 begin with 187493160 relations and 161704986 unique ideals
  41. Sat May 18 08:33:09 2019 reduce to 120026698 relations and 87205045 ideals in 15 passes
  42. Sat May 18 08:33:09 2019 max relations containing the same ideal: 33
  43. Sat May 18 08:33:14 2019 reading ideals above 720000
  44. Sat May 18 08:33:15 2019 commencing singleton removal, initial pass
  45. Sat May 18 08:46:38 2019 memory use: 2756.0 MB
  46. Sat May 18 08:46:39 2019 reading all ideals from disk
  47. Sat May 18 08:46:50 2019 memory use: 4824.1 MB
  48. Sat May 18 08:47:02 2019 keeping 101528345 ideals with weight <= 200, target excess is 633359
  49. Sat May 18 08:47:15 2019 commencing in-memory singleton removal
  50. Sat May 18 08:47:25 2019 begin with 120026698 relations and 101528345 unique ideals
  51. Sat May 18 08:48:05 2019 reduce to 120026599 relations and 101528246 ideals in 4 passes
  52. Sat May 18 08:48:05 2019 max relations containing the same ideal: 200
  53. Sat May 18 08:48:54 2019 removing 11054758 relations and 9054758 ideals in 2000000 cliques
  54. Sat May 18 08:48:57 2019 commencing in-memory singleton removal
  55. Sat May 18 08:49:05 2019 begin with 108971841 relations and 101528246 unique ideals
  56. Sat May 18 08:50:18 2019 reduce to 108281324 relations and 91768653 ideals in 8 passes
  57. Sat May 18 08:50:18 2019 max relations containing the same ideal: 195
  58. Sat May 18 08:51:02 2019 removing 8359986 relations and 6359986 ideals in 2000000 cliques
  59. Sat May 18 08:51:05 2019 commencing in-memory singleton removal
  60. Sat May 18 08:51:12 2019 begin with 99921338 relations and 91768653 unique ideals
  61. Sat May 18 08:52:11 2019 reduce to 99470688 relations and 84949759 ideals in 7 passes
  62. Sat May 18 08:52:11 2019 max relations containing the same ideal: 187
  63. Sat May 18 08:52:51 2019 removing 7521935 relations and 5521935 ideals in 2000000 cliques
  64. Sat May 18 08:52:53 2019 commencing in-memory singleton removal
  65. Sat May 18 08:53:00 2019 begin with 91948753 relations and 84949759 unique ideals
  66. Sat May 18 08:53:54 2019 reduce to 91551275 relations and 79022978 ideals in 7 passes
  67. Sat May 18 08:53:54 2019 max relations containing the same ideal: 177
  68. Sat May 18 08:54:30 2019 removing 7079676 relations and 5079676 ideals in 2000000 cliques
  69. Sat May 18 08:54:33 2019 commencing in-memory singleton removal
  70. Sat May 18 08:54:39 2019 begin with 84471599 relations and 79022978 unique ideals
  71. Sat May 18 08:55:36 2019 reduce to 84094272 relations and 73558627 ideals in 8 passes
  72. Sat May 18 08:55:36 2019 max relations containing the same ideal: 170
  73. Sat May 18 08:56:10 2019 removing 6810470 relations and 4810470 ideals in 2000000 cliques
  74. Sat May 18 08:56:12 2019 commencing in-memory singleton removal
  75. Sat May 18 08:56:18 2019 begin with 77283802 relations and 73558627 unique ideals
  76. Sat May 18 08:56:56 2019 reduce to 76909570 relations and 68366015 ideals in 6 passes
  77. Sat May 18 08:56:56 2019 max relations containing the same ideal: 158
  78. Sat May 18 08:57:27 2019 removing 6632374 relations and 4632374 ideals in 2000000 cliques
  79. Sat May 18 08:57:29 2019 commencing in-memory singleton removal
  80. Sat May 18 08:57:35 2019 begin with 70277196 relations and 68366015 unique ideals
  81. Sat May 18 08:58:15 2019 reduce to 69887153 relations and 63334982 ideals in 7 passes
  82. Sat May 18 08:58:15 2019 max relations containing the same ideal: 149
  83. Sat May 18 08:58:43 2019 removing 6522598 relations and 4522598 ideals in 2000000 cliques
  84. Sat May 18 08:58:45 2019 commencing in-memory singleton removal
  85. Sat May 18 08:58:50 2019 begin with 63364555 relations and 63334982 unique ideals
  86. Sat May 18 08:59:26 2019 reduce to 62944037 relations and 58381534 ideals in 7 passes
  87. Sat May 18 08:59:26 2019 max relations containing the same ideal: 137
  88. Sat May 18 08:59:52 2019 removing 6471960 relations and 4471960 ideals in 2000000 cliques
  89. Sat May 18 08:59:54 2019 commencing in-memory singleton removal
  90. Sat May 18 08:59:58 2019 begin with 56472077 relations and 58381534 unique ideals
  91. Sat May 18 09:00:35 2019 reduce to 56003758 relations and 53428455 ideals in 8 passes
  92. Sat May 18 09:00:35 2019 max relations containing the same ideal: 125
  93. Sat May 18 09:00:58 2019 removing 6058166 relations and 4217560 ideals in 1840606 cliques
  94. Sat May 18 09:01:00 2019 commencing in-memory singleton removal
  95. Sat May 18 09:01:04 2019 begin with 49945592 relations and 53428455 unique ideals
  96. Sat May 18 09:01:36 2019 reduce to 49463059 relations and 48714713 ideals in 8 passes
  97. Sat May 18 09:01:36 2019 max relations containing the same ideal: 115
  98. Sat May 18 09:01:56 2019 removing 96281 relations and 82632 ideals in 13649 cliques
  99. Sat May 18 09:01:57 2019 commencing in-memory singleton removal
  100. Sat May 18 09:02:01 2019 begin with 49366778 relations and 48714713 unique ideals
  101. Sat May 18 09:02:17 2019 reduce to 49366680 relations and 48631983 ideals in 4 passes
  102. Sat May 18 09:02:17 2019 max relations containing the same ideal: 115
  103. Sat May 18 09:02:27 2019 relations with 0 large ideals: 24209
  104. Sat May 18 09:02:27 2019 relations with 1 large ideals: 7047
  105. Sat May 18 09:02:27 2019 relations with 2 large ideals: 95689
  106. Sat May 18 09:02:27 2019 relations with 3 large ideals: 724967
  107. Sat May 18 09:02:27 2019 relations with 4 large ideals: 3029449
  108. Sat May 18 09:02:27 2019 relations with 5 large ideals: 7631102
  109. Sat May 18 09:02:27 2019 relations with 6 large ideals: 12187405
  110. Sat May 18 09:02:27 2019 relations with 7+ large ideals: 25666812
  111. Sat May 18 09:02:27 2019 commencing 2-way merge
  112. Sat May 18 09:02:55 2019 reduce to 34121472 relation sets and 33386775 unique ideals
  113. Sat May 18 09:02:55 2019 commencing full merge
  114. Sat May 18 09:14:39 2019 memory use: 4141.9 MB
  115. Sat May 18 09:14:42 2019 found 15212530 cycles, need 15174975
  116. Sat May 18 09:14:46 2019 weight of 15174975 cycles is about 1760578230 (116.02/cycle)
  117. Sat May 18 09:14:46 2019 distribution of cycle lengths:
  118. Sat May 18 09:14:46 2019 1 relations: 593741
  119. Sat May 18 09:14:46 2019 2 relations: 910557
  120. Sat May 18 09:14:46 2019 3 relations: 1120423
  121. Sat May 18 09:14:46 2019 4 relations: 1196940
  122. Sat May 18 09:14:46 2019 5 relations: 1236052
  123. Sat May 18 09:14:46 2019 6 relations: 1221773
  124. Sat May 18 09:14:46 2019 7 relations: 1186964
  125. Sat May 18 09:14:46 2019 8 relations: 1114985
  126. Sat May 18 09:14:46 2019 9 relations: 1030668
  127. Sat May 18 09:14:46 2019 10+ relations: 5562872
  128. Sat May 18 09:14:46 2019 heaviest cycle: 28 relations
  129. Sat May 18 09:14:49 2019 commencing cycle optimization
  130. Sat May 18 09:15:17 2019 start with 128508378 relations
  131. Sat May 18 09:19:44 2019 pruned 6088818 relations
  132. Sat May 18 09:19:44 2019 memory use: 3385.6 MB
  133. Sat May 18 09:19:44 2019 distribution of cycle lengths:
  134. Sat May 18 09:19:44 2019 1 relations: 593741
  135. Sat May 18 09:19:44 2019 2 relations: 936918
  136. Sat May 18 09:19:44 2019 3 relations: 1173839
  137. Sat May 18 09:19:44 2019 4 relations: 1253075
  138. Sat May 18 09:19:44 2019 5 relations: 1305141
  139. Sat May 18 09:19:44 2019 6 relations: 1285597
  140. Sat May 18 09:19:44 2019 7 relations: 1251199
  141. Sat May 18 09:19:44 2019 8 relations: 1166939
  142. Sat May 18 09:19:44 2019 9 relations: 1072499
  143. Sat May 18 09:19:44 2019 10+ relations: 5136027
  144. Sat May 18 09:19:44 2019 heaviest cycle: 28 relations
  145. Sat May 18 09:20:07 2019 RelProcTime: 5271
  146. Sat May 18 09:20:07 2019
  147. Sat May 18 09:20:07 2019 commencing linear algebra
  148. Sat May 18 09:20:13 2019 read 15174975 cycles
  149. Sat May 18 09:20:40 2019 cycles contain 48979281 unique relations
  150. Sat May 18 09:24:31 2019 read 48979281 relations
  151. Sat May 18 09:25:49 2019 using 20 quadratic characters above 4294917295
  152. Sat May 18 09:28:51 2019 building initial matrix
  153. Sat May 18 09:36:47 2019 memory use: 6180.6 MB
  154. Sat May 18 09:36:53 2019 read 15174975 cycles
  155. Sat May 18 09:36:54 2019 matrix is 15174798 x 15174975 (6833.0 MB) with weight 1944327136 (128.13/col)
  156. Sat May 18 09:36:54 2019 sparse part has weight 1639487401 (108.04/col)
  157. Sat May 18 09:39:52 2019 filtering completed in 2 passes
  158. Sat May 18 09:39:54 2019 matrix is 15174578 x 15174755 (6833.0 MB) with weight 1944320355 (128.13/col)
  159. Sat May 18 09:39:54 2019 sparse part has weight 1639485100 (108.04/col)
  160. Sat May 18 09:40:42 2019 matrix starts at (0, 0)
  161. Sat May 18 09:40:44 2019 matrix is 15174578 x 15174755 (6833.0 MB) with weight 1944320355 (128.13/col)
  162. Sat May 18 09:40:44 2019 sparse part has weight 1639485100 (108.04/col)
  163. Sat May 18 09:40:44 2019 saving the first 48 matrix rows for later
  164. Sat May 18 09:40:46 2019 matrix includes 64 packed rows
  165. Sat May 18 09:40:48 2019 matrix is 15174530 x 15174755 (6574.9 MB) with weight 1674791088 (110.37/col)
  166. Sat May 18 09:40:48 2019 sparse part has weight 1571810558 (103.58/col)
  167. Sat May 18 09:40:49 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  168. Sat May 18 09:41:28 2019 commencing Lanczos iteration (4 threads)
  169. Sat May 18 09:41:28 2019 memory use: 6331.9 MB
  170. Sat May 18 09:42:50 2019 linear algebra at 0.0%, ETA 218h37m
  171. Sat May 18 09:43:16 2019 checkpointing every 70000 dimensions
  172. Mon May 27 10:21:25 2019 lanczos halted after 239969 iterations (dim = 15174525)
  173. Mon May 27 10:21:39 2019 recovered 40 nontrivial dependencies
  174. Mon May 27 10:21:40 2019 BLanczosTime: 781293
  175. Mon May 27 10:21:40 2019
  176. Mon May 27 10:21:40 2019 commencing square root phase
  177. Mon May 27 10:21:40 2019 handling dependencies 1 to 64
  178. Mon May 27 10:21:40 2019 reading relations for dependency 1
  179. Mon May 27 10:21:41 2019 read 7587542 cycles
  180. Mon May 27 10:21:54 2019 cycles contain 24490086 unique relations
  181. Mon May 27 10:24:42 2019 read 24490086 relations
  182. Mon May 27 10:26:35 2019 multiplying 24490086 relations
  183. Mon May 27 10:45:52 2019 multiply complete, coefficients have about 764.72 million bits
  184. Mon May 27 10:45:55 2019 initial square root is modulo 7255459
  185. Mon May 27 11:06:23 2019 sqrtTime: 2683
  186. Mon May 27 11:06:23 2019 p97 factor: 8467481593849351693993240236724163135028368992841149388168648957004915974417836263836172114992929
  187. Mon May 27 11:06:23 2019 p104 factor: 20052239524126451119534597321619591212187198873070187962331825704885810602130805621266476676141930792833
  188. Mon May 27 11:06:23 2019 elapsed time 219:14:09
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