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Dec 26th, 2018
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  1. Tue Dec 25 00:26:32 2018 Msieve v. 1.54 (SVN 1025)
  2. Tue Dec 25 00:26:32 2018 random seeds: 99af9191 e69e59ea
  3. Tue Dec 25 00:26:32 2018 factoring 27380301024268407293834414728671255398664749738006565268160755300324960828577814075994608962941982681711523773720516128543761964752034016570369538322422507989421555117585329289545259316721629604864266561 (203 digits)
  4. Tue Dec 25 00:26:33 2018 no P-1/P+1/ECM available, skipping
  5. Tue Dec 25 00:26:33 2018 commencing number field sieve (203-digit input)
  6. Tue Dec 25 00:26:33 2018 R0: 23945242826029513411849172299223580994042798784118784
  7. Tue Dec 25 00:26:33 2018 R1: -10367793076318844190248738727596255138212949486449
  8. Tue Dec 25 00:26:33 2018 A0: 1
  9. Tue Dec 25 00:26:33 2018 A1: -1
  10. Tue Dec 25 00:26:33 2018 A2: 1
  11. Tue Dec 25 00:26:33 2018 A3: -1
  12. Tue Dec 25 00:26:33 2018 A4: 1
  13. Tue Dec 25 00:26:33 2018 skew 1.00, size 2.287e-21, alpha 1.694, combined = 9.154e-13 rroots = 0
  14. Tue Dec 25 00:26:33 2018
  15. Tue Dec 25 00:26:33 2018 commencing relation filtering
  16. Tue Dec 25 00:26:33 2018 setting target matrix density to 110.0
  17. Tue Dec 25 00:26:33 2018 estimated available RAM is 7681.4 MB
  18. Tue Dec 25 00:26:33 2018 commencing duplicate removal, pass 1
  19. Tue Dec 25 00:46:21 2018 skipped 181 relations with b > 2^32
  20. Tue Dec 25 00:46:21 2018 skipped 183 relations with composite factors
  21. Tue Dec 25 00:46:21 2018 found 22831781 hash collisions in 128253989 relations
  22. Tue Dec 25 00:46:21 2018 commencing duplicate removal, pass 2
  23. Tue Dec 25 00:52:02 2018 found 21066497 duplicates and 107187492 unique relations
  24. Tue Dec 25 00:52:02 2018 memory use: 660.8 MB
  25. Tue Dec 25 00:52:02 2018 reading ideals above 109903872
  26. Tue Dec 25 00:52:02 2018 commencing singleton removal, initial pass
  27. Tue Dec 25 01:05:47 2018 memory use: 1506.0 MB
  28. Tue Dec 25 01:05:47 2018 reading all ideals from disk
  29. Tue Dec 25 01:06:05 2018 memory use: 1678.1 MB
  30. Tue Dec 25 01:06:09 2018 commencing in-memory singleton removal
  31. Tue Dec 25 01:06:13 2018 begin with 107187492 relations and 78133441 unique ideals
  32. Tue Dec 25 01:06:53 2018 reduce to 75631842 relations and 43718583 ideals in 11 passes
  33. Tue Dec 25 01:06:53 2018 max relations containing the same ideal: 43
  34. Tue Dec 25 01:06:56 2018 reading ideals above 720000
  35. Tue Dec 25 01:06:56 2018 commencing singleton removal, initial pass
  36. Tue Dec 25 01:19:43 2018 memory use: 1506.0 MB
  37. Tue Dec 25 01:19:43 2018 reading all ideals from disk
  38. Tue Dec 25 01:20:34 2018 memory use: 2815.4 MB
  39. Tue Dec 25 01:20:41 2018 keeping 55919991 ideals with weight <= 200, target excess is 393818
  40. Tue Dec 25 01:20:49 2018 commencing in-memory singleton removal
  41. Tue Dec 25 01:20:55 2018 begin with 75631842 relations and 55919991 unique ideals
  42. Tue Dec 25 01:21:52 2018 reduce to 75616743 relations and 55904743 ideals in 8 passes
  43. Tue Dec 25 01:21:52 2018 max relations containing the same ideal: 200
  44. Tue Dec 25 01:22:24 2018 removing 7826460 relations and 5826460 ideals in 2000000 cliques
  45. Tue Dec 25 01:22:27 2018 commencing in-memory singleton removal
  46. Tue Dec 25 01:22:33 2018 begin with 67790283 relations and 55904743 unique ideals
  47. Tue Dec 25 01:23:17 2018 reduce to 67111528 relations and 49376780 ideals in 7 passes
  48. Tue Dec 25 01:23:17 2018 max relations containing the same ideal: 194
  49. Tue Dec 25 01:23:46 2018 removing 6290133 relations and 4290133 ideals in 2000000 cliques
  50. Tue Dec 25 01:23:48 2018 commencing in-memory singleton removal
  51. Tue Dec 25 01:23:53 2018 begin with 60821395 relations and 49376780 unique ideals
  52. Tue Dec 25 01:24:32 2018 reduce to 60363066 relations and 44614147 ideals in 7 passes
  53. Tue Dec 25 01:24:32 2018 max relations containing the same ideal: 185
  54. Tue Dec 25 01:24:58 2018 removing 5862749 relations and 3862749 ideals in 2000000 cliques
  55. Tue Dec 25 01:25:00 2018 commencing in-memory singleton removal
  56. Tue Dec 25 01:25:04 2018 begin with 54500317 relations and 44614147 unique ideals
  57. Tue Dec 25 01:25:39 2018 reduce to 54098005 relations and 40336193 ideals in 7 passes
  58. Tue Dec 25 01:25:39 2018 max relations containing the same ideal: 172
  59. Tue Dec 25 01:26:02 2018 removing 5631245 relations and 3631245 ideals in 2000000 cliques
  60. Tue Dec 25 01:26:05 2018 commencing in-memory singleton removal
  61. Tue Dec 25 01:26:08 2018 begin with 48466760 relations and 40336193 unique ideals
  62. Tue Dec 25 01:26:38 2018 reduce to 48083601 relations and 36308658 ideals in 7 passes
  63. Tue Dec 25 01:26:38 2018 max relations containing the same ideal: 161
  64. Tue Dec 25 01:26:59 2018 removing 5479335 relations and 3479335 ideals in 2000000 cliques
  65. Tue Dec 25 01:27:01 2018 commencing in-memory singleton removal
  66. Tue Dec 25 01:27:04 2018 begin with 42604266 relations and 36308658 unique ideals
  67. Tue Dec 25 01:27:31 2018 reduce to 42224350 relations and 32435442 ideals in 7 passes
  68. Tue Dec 25 01:27:31 2018 max relations containing the same ideal: 149
  69. Tue Dec 25 01:27:49 2018 removing 5374141 relations and 3374141 ideals in 2000000 cliques
  70. Tue Dec 25 01:27:51 2018 commencing in-memory singleton removal
  71. Tue Dec 25 01:27:53 2018 begin with 36850209 relations and 32435442 unique ideals
  72. Tue Dec 25 01:28:12 2018 reduce to 36460062 relations and 28655329 ideals in 6 passes
  73. Tue Dec 25 01:28:12 2018 max relations containing the same ideal: 136
  74. Tue Dec 25 01:28:28 2018 removing 5285590 relations and 3285590 ideals in 2000000 cliques
  75. Tue Dec 25 01:28:30 2018 commencing in-memory singleton removal
  76. Tue Dec 25 01:28:32 2018 begin with 31174472 relations and 28655329 unique ideals
  77. Tue Dec 25 01:28:50 2018 reduce to 30765055 relations and 24941219 ideals in 7 passes
  78. Tue Dec 25 01:28:50 2018 max relations containing the same ideal: 125
  79. Tue Dec 25 01:29:03 2018 removing 5208259 relations and 3208259 ideals in 2000000 cliques
  80. Tue Dec 25 01:29:05 2018 commencing in-memory singleton removal
  81. Tue Dec 25 01:29:07 2018 begin with 25556796 relations and 24941219 unique ideals
  82. Tue Dec 25 01:29:19 2018 reduce to 25103453 relations and 21255321 ideals in 6 passes
  83. Tue Dec 25 01:29:19 2018 max relations containing the same ideal: 103
  84. Tue Dec 25 01:29:30 2018 removing 5138798 relations and 3138798 ideals in 2000000 cliques
  85. Tue Dec 25 01:29:32 2018 commencing in-memory singleton removal
  86. Tue Dec 25 01:29:33 2018 begin with 19964655 relations and 21255321 unique ideals
  87. Tue Dec 25 01:29:44 2018 reduce to 19432724 relations and 17550058 ideals in 7 passes
  88. Tue Dec 25 01:29:44 2018 max relations containing the same ideal: 86
  89. Tue Dec 25 01:29:52 2018 removing 3806742 relations and 2380905 ideals in 1425837 cliques
  90. Tue Dec 25 01:29:53 2018 commencing in-memory singleton removal
  91. Tue Dec 25 01:29:54 2018 begin with 15625982 relations and 17550058 unique ideals
  92. Tue Dec 25 01:30:04 2018 reduce to 15162426 relations and 14676086 ideals in 8 passes
  93. Tue Dec 25 01:30:04 2018 max relations containing the same ideal: 74
  94. Tue Dec 25 01:30:11 2018 removing 158134 relations and 128623 ideals in 29511 cliques
  95. Tue Dec 25 01:30:11 2018 commencing in-memory singleton removal
  96. Tue Dec 25 01:30:12 2018 begin with 15004292 relations and 14676086 unique ideals
  97. Tue Dec 25 01:30:17 2018 reduce to 15002786 relations and 14545952 ideals in 4 passes
  98. Tue Dec 25 01:30:17 2018 max relations containing the same ideal: 74
  99. Tue Dec 25 01:30:19 2018 relations with 0 large ideals: 30451
  100. Tue Dec 25 01:30:19 2018 relations with 1 large ideals: 5779
  101. Tue Dec 25 01:30:19 2018 relations with 2 large ideals: 67248
  102. Tue Dec 25 01:30:19 2018 relations with 3 large ideals: 438778
  103. Tue Dec 25 01:30:19 2018 relations with 4 large ideals: 1553269
  104. Tue Dec 25 01:30:19 2018 relations with 5 large ideals: 3711373
  105. Tue Dec 25 01:30:19 2018 relations with 6 large ideals: 3930437
  106. Tue Dec 25 01:30:19 2018 relations with 7+ large ideals: 5265451
  107. Tue Dec 25 01:30:19 2018 commencing 2-way merge
  108. Tue Dec 25 01:30:28 2018 reduce to 10700968 relation sets and 10244134 unique ideals
  109. Tue Dec 25 01:30:28 2018 commencing full merge
  110. Tue Dec 25 01:34:09 2018 memory use: 1280.1 MB
  111. Tue Dec 25 01:34:09 2018 found 4816450 cycles, need 4796334
  112. Tue Dec 25 01:34:11 2018 weight of 4796334 cycles is about 528274084 (110.14/cycle)
  113. Tue Dec 25 01:34:11 2018 distribution of cycle lengths:
  114. Tue Dec 25 01:34:11 2018 1 relations: 134530
  115. Tue Dec 25 01:34:11 2018 2 relations: 230808
  116. Tue Dec 25 01:34:11 2018 3 relations: 313595
  117. Tue Dec 25 01:34:11 2018 4 relations: 354990
  118. Tue Dec 25 01:34:11 2018 5 relations: 380812
  119. Tue Dec 25 01:34:11 2018 6 relations: 386808
  120. Tue Dec 25 01:34:11 2018 7 relations: 379312
  121. Tue Dec 25 01:34:11 2018 8 relations: 360696
  122. Tue Dec 25 01:34:11 2018 9 relations: 335096
  123. Tue Dec 25 01:34:11 2018 10+ relations: 1919687
  124. Tue Dec 25 01:34:11 2018 heaviest cycle: 28 relations
  125. Tue Dec 25 01:34:12 2018 commencing cycle optimization
  126. Tue Dec 25 01:34:22 2018 start with 43253875 relations
  127. Tue Dec 25 01:36:01 2018 pruned 2441170 relations
  128. Tue Dec 25 01:36:01 2018 memory use: 1072.1 MB
  129. Tue Dec 25 01:36:01 2018 distribution of cycle lengths:
  130. Tue Dec 25 01:36:01 2018 1 relations: 134530
  131. Tue Dec 25 01:36:01 2018 2 relations: 237212
  132. Tue Dec 25 01:36:01 2018 3 relations: 329314
  133. Tue Dec 25 01:36:01 2018 4 relations: 374254
  134. Tue Dec 25 01:36:01 2018 5 relations: 406353
  135. Tue Dec 25 01:36:01 2018 6 relations: 412458
  136. Tue Dec 25 01:36:01 2018 7 relations: 406338
  137. Tue Dec 25 01:36:01 2018 8 relations: 383624
  138. Tue Dec 25 01:36:01 2018 9 relations: 353844
  139. Tue Dec 25 01:36:01 2018 10+ relations: 1758407
  140. Tue Dec 25 01:36:01 2018 heaviest cycle: 28 relations
  141. Tue Dec 25 01:36:09 2018 RelProcTime: 4176
  142. Tue Dec 25 01:36:11 2018
  143. Tue Dec 25 01:36:11 2018 commencing linear algebra
  144. Tue Dec 25 01:36:11 2018 read 4796334 cycles
  145. Tue Dec 25 01:36:23 2018 cycles contain 14794594 unique relations
  146. Tue Dec 25 01:42:51 2018 read 14794594 relations
  147. Tue Dec 25 01:43:14 2018 using 20 quadratic characters above 4294917295
  148. Tue Dec 25 01:44:28 2018 building initial matrix
  149. Tue Dec 25 01:47:16 2018 memory use: 1837.2 MB
  150. Tue Dec 25 01:47:24 2018 read 4796334 cycles
  151. Tue Dec 25 01:47:25 2018 matrix is 4796157 x 4796334 (2074.6 MB) with weight 596637427 (124.39/col)
  152. Tue Dec 25 01:47:25 2018 sparse part has weight 491086368 (102.39/col)
  153. Tue Dec 25 01:48:16 2018 filtering completed in 2 passes
  154. Tue Dec 25 01:48:17 2018 matrix is 4796070 x 4796247 (2074.6 MB) with weight 596634353 (124.40/col)
  155. Tue Dec 25 01:48:17 2018 sparse part has weight 491085283 (102.39/col)
  156. Tue Dec 25 01:48:33 2018 matrix starts at (0, 0)
  157. Tue Dec 25 01:48:33 2018 matrix is 4796070 x 4796247 (2074.6 MB) with weight 596634353 (124.40/col)
  158. Tue Dec 25 01:48:33 2018 sparse part has weight 491085283 (102.39/col)
  159. Tue Dec 25 01:48:33 2018 saving the first 48 matrix rows for later
  160. Tue Dec 25 01:48:34 2018 matrix includes 64 packed rows
  161. Tue Dec 25 01:48:35 2018 matrix is 4796022 x 4796247 (1984.0 MB) with weight 508122479 (105.94/col)
  162. Tue Dec 25 01:48:35 2018 sparse part has weight 472140310 (98.44/col)
  163. Tue Dec 25 01:48:35 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  164. Tue Dec 25 01:48:49 2018 commencing Lanczos iteration (2 threads)
  165. Tue Dec 25 01:48:49 2018 memory use: 1891.2 MB
  166. Tue Dec 25 01:49:33 2018 linear algebra at 0.0%, ETA 36h51m
  167. Tue Dec 25 01:49:47 2018 checkpointing every 130000 dimensions
  168. Wed Dec 26 15:33:00 2018 lanczos halted after 75842 iterations (dim = 4796017)
  169. Wed Dec 26 15:33:06 2018 recovered 32 nontrivial dependencies
  170. Wed Dec 26 15:33:06 2018 BLanczosTime: 136615
  171. Wed Dec 26 15:33:06 2018
  172. Wed Dec 26 15:33:06 2018 commencing square root phase
  173. Wed Dec 26 15:33:06 2018 handling dependencies 1 to 64
  174. Wed Dec 26 15:33:06 2018 reading relations for dependency 1
  175. Wed Dec 26 15:33:06 2018 read 2397852 cycles
  176. Wed Dec 26 15:33:11 2018 cycles contain 7397764 unique relations
  177. Wed Dec 26 15:39:22 2018 read 7397764 relations
  178. Wed Dec 26 15:39:55 2018 multiplying 7397764 relations
  179. Wed Dec 26 15:41:42 2018 multiply complete, coefficients have about 186.11 million bits
  180. Wed Dec 26 15:41:43 2018 initial square root is modulo 4775917
  181. Wed Dec 26 15:44:10 2018 sqrtTime: 664
  182. Wed Dec 26 15:44:10 2018 p100 factor: 6901235163527818815706070181883722695578661131732582531398302300916457938572990137928003201573137081
  183. Wed Dec 26 15:44:10 2018 p103 factor: 3967449358771302149860378331461139604095888073974858935585851372885909826135578245124781028517323323081
  184. Wed Dec 26 15:44:10 2018 elapsed time 39:17:38
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