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Feb 3rd, 2019
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  1. Tue Jan 29 06:32:26 2019 Msieve v. 1.52 (SVN exported)
  2. Tue Jan 29 06:32:26 2019 random seeds: 062169db 3110d07d
  3. Tue Jan 29 06:32:26 2019 factoring 1110198224862684524500809032048192022337968033115904368997534011668321812354394909811188393421871619893747249605188365570903125293605385728369632899289322491317932031450498521772028779352822092097279074074938771201056060260671 (226 digits)
  4. Tue Jan 29 06:32:30 2019 searching for 15-digit factors
  5. Tue Jan 29 06:32:36 2019 commencing number field sieve (226-digit input)
  6. Tue Jan 29 06:32:36 2019 R0: 3840434344477351388916475705363381856681
  7. Tue Jan 29 06:32:36 2019 R1: -611590904484145462910000000000000000000
  8. Tue Jan 29 06:32:36 2019 A0: -1
  9. Tue Jan 29 06:32:36 2019 A1: -3
  10. Tue Jan 29 06:32:36 2019 A2: 6
  11. Tue Jan 29 06:32:36 2019 A3: 4
  12. Tue Jan 29 06:32:36 2019 A4: -5
  13. Tue Jan 29 06:32:36 2019 A5: -1
  14. Tue Jan 29 06:32:36 2019 A6: 1
  15. Tue Jan 29 06:32:36 2019 skew 1.00, size 1.119e-11, alpha 3.126, combined = 6.742e-13 rroots = 6
  16. Tue Jan 29 06:32:36 2019
  17. Tue Jan 29 06:32:36 2019 commencing relation filtering
  18. Tue Jan 29 06:32:36 2019 setting target matrix density to 120.0
  19. Tue Jan 29 06:32:36 2019 estimated available RAM is 8005.0 MB
  20. Tue Jan 29 06:32:36 2019 commencing duplicate removal, pass 1
  21. Tue Jan 29 07:17:27 2019 skipped 32 relations with b > 2^32
  22. Tue Jan 29 07:17:27 2019 found 27048633 hash collisions in 130615425 relations
  23. Tue Jan 29 07:17:27 2019 commencing duplicate removal, pass 2
  24. Tue Jan 29 07:24:26 2019 found 26826765 duplicates and 103788660 unique relations
  25. Tue Jan 29 07:24:26 2019 memory use: 660.8 MB
  26. Tue Jan 29 07:24:27 2019 reading ideals above 99549184
  27. Tue Jan 29 07:24:27 2019 commencing singleton removal, initial pass
  28. Tue Jan 29 08:05:45 2019 memory use: 1506.0 MB
  29. Tue Jan 29 08:05:46 2019 reading all ideals from disk
  30. Tue Jan 29 08:06:04 2019 memory use: 1810.5 MB
  31. Tue Jan 29 08:06:26 2019 commencing in-memory singleton removal
  32. Tue Jan 29 08:06:49 2019 begin with 103788660 relations and 81228881 unique ideals
  33. Tue Jan 29 08:10:30 2019 reduce to 71347646 relations and 45751881 ideals in 12 passes
  34. Tue Jan 29 08:10:30 2019 max relations containing the same ideal: 35
  35. Tue Jan 29 08:10:48 2019 reading ideals above 720000
  36. Tue Jan 29 08:10:48 2019 commencing singleton removal, initial pass
  37. Tue Jan 29 08:52:51 2019 memory use: 1506.0 MB
  38. Tue Jan 29 08:52:51 2019 reading all ideals from disk
  39. Tue Jan 29 08:53:26 2019 memory use: 2723.2 MB
  40. Tue Jan 29 08:54:21 2019 keeping 56852118 ideals with weight <= 200, target excess is 373159
  41. Tue Jan 29 08:55:21 2019 commencing in-memory singleton removal
  42. Tue Jan 29 08:56:05 2019 begin with 71347649 relations and 56852118 unique ideals
  43. Tue Jan 29 09:01:03 2019 reduce to 71344949 relations and 56849405 ideals in 6 passes
  44. Tue Jan 29 09:01:03 2019 max relations containing the same ideal: 200
  45. Tue Jan 29 09:03:38 2019 removing 8378868 relations and 6378868 ideals in 2000000 cliques
  46. Tue Jan 29 09:03:44 2019 commencing in-memory singleton removal
  47. Tue Jan 29 09:04:19 2019 begin with 62966081 relations and 56849405 unique ideals
  48. Tue Jan 29 09:09:08 2019 reduce to 62164488 relations and 49641230 ideals in 7 passes
  49. Tue Jan 29 09:09:08 2019 max relations containing the same ideal: 192
  50. Tue Jan 29 09:11:43 2019 removing 6763914 relations and 4763914 ideals in 2000000 cliques
  51. Tue Jan 29 09:11:49 2019 commencing in-memory singleton removal
  52. Tue Jan 29 09:12:18 2019 begin with 55400574 relations and 49641230 unique ideals
  53. Tue Jan 29 09:16:03 2019 reduce to 54847589 relations and 44306520 ideals in 7 passes
  54. Tue Jan 29 09:16:03 2019 max relations containing the same ideal: 179
  55. Tue Jan 29 09:17:52 2019 removing 6245397 relations and 4245397 ideals in 2000000 cliques
  56. Tue Jan 29 09:17:57 2019 commencing in-memory singleton removal
  57. Tue Jan 29 09:18:19 2019 begin with 48602192 relations and 44306520 unique ideals
  58. Tue Jan 29 09:21:07 2019 reduce to 48107117 relations and 39549125 ideals in 7 passes
  59. Tue Jan 29 09:21:07 2019 max relations containing the same ideal: 164
  60. Tue Jan 29 09:22:37 2019 removing 5967988 relations and 3967988 ideals in 2000000 cliques
  61. Tue Jan 29 09:22:41 2019 commencing in-memory singleton removal
  62. Tue Jan 29 09:22:59 2019 begin with 42139129 relations and 39549125 unique ideals
  63. Tue Jan 29 09:25:10 2019 reduce to 41658310 relations and 35082599 ideals in 7 passes
  64. Tue Jan 29 09:25:10 2019 max relations containing the same ideal: 149
  65. Tue Jan 29 09:26:28 2019 removing 5788097 relations and 3788097 ideals in 2000000 cliques
  66. Tue Jan 29 09:26:32 2019 commencing in-memory singleton removal
  67. Tue Jan 29 09:26:46 2019 begin with 35870213 relations and 35082599 unique ideals
  68. Tue Jan 29 09:28:26 2019 reduce to 35372807 relations and 30776049 ideals in 7 passes
  69. Tue Jan 29 09:28:26 2019 max relations containing the same ideal: 135
  70. Tue Jan 29 09:29:35 2019 removing 5659787 relations and 3659787 ideals in 2000000 cliques
  71. Tue Jan 29 09:29:39 2019 commencing in-memory singleton removal
  72. Tue Jan 29 09:29:50 2019 begin with 29713020 relations and 30776049 unique ideals
  73. Tue Jan 29 09:31:18 2019 reduce to 29163876 relations and 26540666 ideals in 7 passes
  74. Tue Jan 29 09:31:18 2019 max relations containing the same ideal: 117
  75. Tue Jan 29 09:32:11 2019 removing 5579670 relations and 3579670 ideals in 2000000 cliques
  76. Tue Jan 29 09:32:14 2019 commencing in-memory singleton removal
  77. Tue Jan 29 09:32:22 2019 begin with 23584206 relations and 26540666 unique ideals
  78. Tue Jan 29 09:33:31 2019 reduce to 22918493 relations and 22256020 ideals in 8 passes
  79. Tue Jan 29 09:33:31 2019 max relations containing the same ideal: 102
  80. Tue Jan 29 09:34:10 2019 removing 959421 relations and 729813 ideals in 229608 cliques
  81. Tue Jan 29 09:34:12 2019 commencing in-memory singleton removal
  82. Tue Jan 29 09:34:21 2019 begin with 21959072 relations and 22256020 unique ideals
  83. Tue Jan 29 09:35:14 2019 reduce to 21924972 relations and 21491775 ideals in 6 passes
  84. Tue Jan 29 09:35:14 2019 max relations containing the same ideal: 96
  85. Tue Jan 29 09:35:59 2019 relations with 0 large ideals: 28198
  86. Tue Jan 29 09:35:59 2019 relations with 1 large ideals: 5071
  87. Tue Jan 29 09:35:59 2019 relations with 2 large ideals: 47678
  88. Tue Jan 29 09:35:59 2019 relations with 3 large ideals: 355118
  89. Tue Jan 29 09:35:59 2019 relations with 4 large ideals: 1451421
  90. Tue Jan 29 09:35:59 2019 relations with 5 large ideals: 3559941
  91. Tue Jan 29 09:35:59 2019 relations with 6 large ideals: 5479164
  92. Tue Jan 29 09:35:59 2019 relations with 7+ large ideals: 10998381
  93. Tue Jan 29 09:35:59 2019 commencing 2-way merge
  94. Tue Jan 29 09:36:50 2019 reduce to 15434105 relation sets and 15000908 unique ideals
  95. Tue Jan 29 09:36:50 2019 commencing full merge
  96. Tue Jan 29 09:57:56 2019 memory use: 2045.4 MB
  97. Tue Jan 29 09:57:59 2019 found 6854324 cycles, need 6853108
  98. Tue Jan 29 09:58:03 2019 weight of 6853108 cycles is about 823220873 (120.12/cycle)
  99. Tue Jan 29 09:58:03 2019 distribution of cycle lengths:
  100. Tue Jan 29 09:58:03 2019 1 relations: 214750
  101. Tue Jan 29 09:58:03 2019 2 relations: 345723
  102. Tue Jan 29 09:58:03 2019 3 relations: 443591
  103. Tue Jan 29 09:58:03 2019 4 relations: 486258
  104. Tue Jan 29 09:58:03 2019 5 relations: 511288
  105. Tue Jan 29 09:58:03 2019 6 relations: 518751
  106. Tue Jan 29 09:58:03 2019 7 relations: 510464
  107. Tue Jan 29 09:58:03 2019 8 relations: 490532
  108. Tue Jan 29 09:58:03 2019 9 relations: 459993
  109. Tue Jan 29 09:58:03 2019 10+ relations: 2871758
  110. Tue Jan 29 09:58:03 2019 heaviest cycle: 28 relations
  111. Tue Jan 29 09:58:08 2019 commencing cycle optimization
  112. Tue Jan 29 09:58:43 2019 start with 63333714 relations
  113. Tue Jan 29 10:06:31 2019 pruned 3394764 relations
  114. Tue Jan 29 10:06:32 2019 memory use: 1570.2 MB
  115. Tue Jan 29 10:06:32 2019 distribution of cycle lengths:
  116. Tue Jan 29 10:06:32 2019 1 relations: 214750
  117. Tue Jan 29 10:06:32 2019 2 relations: 354684
  118. Tue Jan 29 10:06:32 2019 3 relations: 464158
  119. Tue Jan 29 10:06:32 2019 4 relations: 509423
  120. Tue Jan 29 10:06:32 2019 5 relations: 542438
  121. Tue Jan 29 10:06:32 2019 6 relations: 549924
  122. Tue Jan 29 10:06:32 2019 7 relations: 543036
  123. Tue Jan 29 10:06:32 2019 8 relations: 519292
  124. Tue Jan 29 10:06:32 2019 9 relations: 485438
  125. Tue Jan 29 10:06:32 2019 10+ relations: 2669965
  126. Tue Jan 29 10:06:32 2019 heaviest cycle: 28 relations
  127. Tue Jan 29 10:07:00 2019 RelProcTime: 12864
  128. Tue Jan 29 10:07:00 2019 elapsed time 03:34:34
  129. Tue Jan 29 13:46:56 2019
  130. Tue Jan 29 13:46:56 2019
  131. Tue Jan 29 13:46:56 2019 Msieve v. 1.52 (SVN exported)
  132. Tue Jan 29 13:46:56 2019 random seeds: fd955ade 522f0acc
  133. Tue Jan 29 13:46:56 2019 factoring 1110198224862684524500809032048192022337968033115904368997534011668321812354394909811188393421871619893747249605188365570903125293605385728369632899289322491317932031450498521772028779352822092097279074074938771201056060260671 (226 digits)
  134. Tue Jan 29 13:46:59 2019 searching for 15-digit factors
  135. Tue Jan 29 13:47:03 2019 commencing number field sieve (226-digit input)
  136. Tue Jan 29 13:47:03 2019 R0: 3840434344477351388916475705363381856681
  137. Tue Jan 29 13:47:03 2019 R1: -611590904484145462910000000000000000000
  138. Tue Jan 29 13:47:03 2019 A0: -1
  139. Tue Jan 29 13:47:03 2019 A1: -3
  140. Tue Jan 29 13:47:03 2019 A2: 6
  141. Tue Jan 29 13:47:03 2019 A3: 4
  142. Tue Jan 29 13:47:03 2019 A4: -5
  143. Tue Jan 29 13:47:03 2019 A5: -1
  144. Tue Jan 29 13:47:03 2019 A6: 1
  145. Tue Jan 29 13:47:03 2019 skew 1.00, size 1.119e-11, alpha 3.126, combined = 6.742e-13 rroots = 6
  146. Tue Jan 29 13:47:03 2019
  147. Tue Jan 29 13:47:03 2019 commencing linear algebra
  148. Tue Jan 29 13:47:05 2019 read 6853108 cycles
  149. Tue Jan 29 13:47:40 2019 cycles contain 21727012 unique relations
  150. Tue Jan 29 13:55:11 2019 read 21727012 relations
  151. Tue Jan 29 13:57:04 2019 using 20 quadratic characters above 1073740148
  152. Tue Jan 29 13:59:42 2019 building initial matrix
  153. Tue Jan 29 14:11:21 2019 memory use: 2721.6 MB
  154. Tue Jan 29 14:11:37 2019 read 6853108 cycles
  155. Tue Jan 29 14:11:39 2019 matrix is 6852931 x 6853108 (3164.7 MB) with weight 898366960 (131.09/col)
  156. Tue Jan 29 14:11:39 2019 sparse part has weight 761082141 (111.06/col)
  157. Tue Jan 29 14:17:29 2019 filtering completed in 2 passes
  158. Tue Jan 29 14:17:32 2019 matrix is 6852907 x 6853084 (3164.7 MB) with weight 898366278 (131.09/col)
  159. Tue Jan 29 14:17:32 2019 sparse part has weight 761081955 (111.06/col)
  160. Tue Jan 29 14:18:56 2019 matrix starts at (0, 0)
  161. Tue Jan 29 14:18:59 2019 matrix is 6852907 x 6853084 (3164.7 MB) with weight 898366278 (131.09/col)
  162. Tue Jan 29 14:18:59 2019 sparse part has weight 761081955 (111.06/col)
  163. Tue Jan 29 14:18:59 2019 saving the first 48 matrix rows for later
  164. Tue Jan 29 14:19:02 2019 matrix includes 64 packed rows
  165. Tue Jan 29 14:19:04 2019 matrix is 6852859 x 6853084 (3035.2 MB) with weight 774949424 (113.08/col)
  166. Tue Jan 29 14:19:04 2019 sparse part has weight 727123931 (106.10/col)
  167. Tue Jan 29 14:19:04 2019 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  168. Tue Jan 29 14:20:07 2019 commencing Lanczos iteration (6 threads)
  169. Tue Jan 29 14:20:07 2019 memory use: 2578.0 MB
  170. Tue Jan 29 14:21:30 2019 linear algebra at 0.0%, ETA 101h49m
  171. Tue Jan 29 14:21:55 2019 checkpointing every 70000 dimensions
  172. Sat Feb 2 20:33:33 2019 lanczos halted after 108375 iterations (dim = 6852854)
  173. Sat Feb 2 20:33:49 2019 recovered 29 nontrivial dependencies
  174. Sat Feb 2 20:33:49 2019 BLanczosTime: 370006
  175. Sat Feb 2 20:33:49 2019
  176. Sat Feb 2 20:33:49 2019 commencing square root phase
  177. Sat Feb 2 20:33:49 2019 reading relations for dependency 1
  178. Sat Feb 2 20:33:54 2019 read 3426630 cycles
  179. Sat Feb 2 20:34:17 2019 cycles contain 10866058 unique relations
  180. Sat Feb 2 20:41:11 2019 read 10866058 relations
  181. Sat Feb 2 20:43:35 2019 multiplying 10866058 relations
  182. Sat Feb 2 21:01:45 2019 multiply complete, coefficients have about 269.17 million bits
  183. Sat Feb 2 21:01:48 2019 initial square root is modulo 67589
  184. Sat Feb 2 21:22:57 2019 sqrtTime: 2948
  185. Sat Feb 2 21:22:57 2019 prp64 factor: 3525834300955858986612363923231596731543563749429441709517177373
  186. Sat Feb 2 21:22:57 2019 prp162 factor: 314875325979359867961163223633110589996114636919977490818346407189508065501469370945988015132118436239618924779455306350086038254756051069379785622121073087689227
  187. Sat Feb 2 21:22:57 2019 elapsed time 103:36:01
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