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gchilders

352__549_7m1

Nov 6th, 2021
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  1. Sat Nov 6 21:36:20 2021
  2. Sat Nov 6 21:36:20 2021
  3. Sat Nov 6 21:36:20 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Nov 6 21:36:20 2021 random seeds: a779f8af f5061b90
  5. Sat Nov 6 21:36:20 2021 factoring 259966072076853354664664167337519022363425283225941580781518641135872639410976314432360000506511885540767833748536086609639285585902680829053691918794799669573771 (162 digits)
  6. Sat Nov 6 21:36:21 2021 no P-1/P+1/ECM available, skipping
  7. Sat Nov 6 21:36:21 2021 commencing number field sieve (162-digit input)
  8. Sat Nov 6 21:36:21 2021 R0: 3520546506199974490500155725747441549
  9. Sat Nov 6 21:36:21 2021 R1: -1
  10. Sat Nov 6 21:36:21 2021 A0: 1
  11. Sat Nov 6 21:36:21 2021 A1: 1
  12. Sat Nov 6 21:36:21 2021 A2: 1
  13. Sat Nov 6 21:36:21 2021 A3: 1
  14. Sat Nov 6 21:36:21 2021 A4: 1
  15. Sat Nov 6 21:36:21 2021 A5: 1
  16. Sat Nov 6 21:36:21 2021 A6: 1
  17. Sat Nov 6 21:36:21 2021 skew 1.00, size 7.031e-11, alpha 2.428, combined = 2.608e-12 rroots = 0
  18. Sat Nov 6 21:36:21 2021
  19. Sat Nov 6 21:36:21 2021 commencing relation filtering
  20. Sat Nov 6 21:36:21 2021 setting target matrix density to 100.0
  21. Sat Nov 6 21:36:21 2021 estimated available RAM is 515600.8 MB
  22. Sat Nov 6 21:36:21 2021 commencing duplicate removal, pass 1
  23. Sat Nov 6 21:40:10 2021 skipped 32 relations with b > 2^32
  24. Sat Nov 6 21:40:10 2021 skipped 13711 relations with composite factors
  25. Sat Nov 6 21:40:10 2021 found 1989146 hash collisions in 47646159 relations
  26. Sat Nov 6 21:40:10 2021 commencing duplicate removal, pass 2
  27. Sat Nov 6 21:40:17 2021 found 0 duplicates and 47646159 unique relations
  28. Sat Nov 6 21:40:17 2021 memory use: 130.6 MB
  29. Sat Nov 6 21:40:17 2021 reading ideals above 720000
  30. Sat Nov 6 21:40:17 2021 commencing singleton removal, initial pass
  31. Sat Nov 6 21:44:10 2021 memory use: 1378.0 MB
  32. Sat Nov 6 21:44:10 2021 reading all ideals from disk
  33. Sat Nov 6 21:44:10 2021 memory use: 1731.5 MB
  34. Sat Nov 6 21:44:11 2021 keeping 46848173 ideals with weight <= 200, target excess is 234876
  35. Sat Nov 6 21:44:13 2021 commencing in-memory singleton removal
  36. Sat Nov 6 21:44:15 2021 begin with 47646159 relations and 46848173 unique ideals
  37. Sat Nov 6 21:44:30 2021 reduce to 29423834 relations and 26607641 ideals in 15 passes
  38. Sat Nov 6 21:44:30 2021 max relations containing the same ideal: 152
  39. Sat Nov 6 21:44:36 2021 removing 2748737 relations and 2348737 ideals in 400000 cliques
  40. Sat Nov 6 21:44:37 2021 commencing in-memory singleton removal
  41. Sat Nov 6 21:44:38 2021 begin with 26675097 relations and 26607641 unique ideals
  42. Sat Nov 6 21:44:47 2021 reduce to 26386158 relations and 23964176 ideals in 11 passes
  43. Sat Nov 6 21:44:47 2021 max relations containing the same ideal: 139
  44. Sat Nov 6 21:44:53 2021 removing 2083451 relations and 1683451 ideals in 400000 cliques
  45. Sat Nov 6 21:44:53 2021 commencing in-memory singleton removal
  46. Sat Nov 6 21:44:54 2021 begin with 24302707 relations and 23964176 unique ideals
  47. Sat Nov 6 21:45:00 2021 reduce to 24130259 relations and 22105295 ideals in 8 passes
  48. Sat Nov 6 21:45:00 2021 max relations containing the same ideal: 134
  49. Sat Nov 6 21:45:05 2021 removing 1894907 relations and 1494907 ideals in 400000 cliques
  50. Sat Nov 6 21:45:06 2021 commencing in-memory singleton removal
  51. Sat Nov 6 21:45:06 2021 begin with 22235352 relations and 22105295 unique ideals
  52. Sat Nov 6 21:45:12 2021 reduce to 22086848 relations and 20459346 ideals in 8 passes
  53. Sat Nov 6 21:45:12 2021 max relations containing the same ideal: 126
  54. Sat Nov 6 21:45:17 2021 removing 1805622 relations and 1405622 ideals in 400000 cliques
  55. Sat Nov 6 21:45:17 2021 commencing in-memory singleton removal
  56. Sat Nov 6 21:45:18 2021 begin with 20281226 relations and 20459346 unique ideals
  57. Sat Nov 6 21:45:22 2021 reduce to 20139204 relations and 18909153 ideals in 7 passes
  58. Sat Nov 6 21:45:22 2021 max relations containing the same ideal: 118
  59. Sat Nov 6 21:45:27 2021 removing 1757194 relations and 1357194 ideals in 400000 cliques
  60. Sat Nov 6 21:45:28 2021 commencing in-memory singleton removal
  61. Sat Nov 6 21:45:28 2021 begin with 18382010 relations and 18909153 unique ideals
  62. Sat Nov 6 21:45:32 2021 reduce to 18238488 relations and 17405713 ideals in 7 passes
  63. Sat Nov 6 21:45:32 2021 max relations containing the same ideal: 111
  64. Sat Nov 6 21:45:36 2021 removing 1732552 relations and 1332552 ideals in 400000 cliques
  65. Sat Nov 6 21:45:37 2021 commencing in-memory singleton removal
  66. Sat Nov 6 21:45:37 2021 begin with 16505936 relations and 17405713 unique ideals
  67. Sat Nov 6 21:45:40 2021 reduce to 16352847 relations and 15916830 ideals in 7 passes
  68. Sat Nov 6 21:45:40 2021 max relations containing the same ideal: 101
  69. Sat Nov 6 21:45:44 2021 removing 849379 relations and 685819 ideals in 163560 cliques
  70. Sat Nov 6 21:45:45 2021 commencing in-memory singleton removal
  71. Sat Nov 6 21:45:45 2021 begin with 15503468 relations and 15916830 unique ideals
  72. Sat Nov 6 21:45:48 2021 reduce to 15465546 relations and 15192733 ideals in 6 passes
  73. Sat Nov 6 21:45:48 2021 max relations containing the same ideal: 99
  74. Sat Nov 6 21:45:53 2021 relations with 0 large ideals: 17903
  75. Sat Nov 6 21:45:53 2021 relations with 1 large ideals: 2562
  76. Sat Nov 6 21:45:53 2021 relations with 2 large ideals: 24116
  77. Sat Nov 6 21:45:53 2021 relations with 3 large ideals: 191058
  78. Sat Nov 6 21:45:53 2021 relations with 4 large ideals: 850327
  79. Sat Nov 6 21:45:53 2021 relations with 5 large ideals: 2277229
  80. Sat Nov 6 21:45:53 2021 relations with 6 large ideals: 3803795
  81. Sat Nov 6 21:45:53 2021 relations with 7+ large ideals: 8298556
  82. Sat Nov 6 21:45:53 2021 commencing 2-way merge
  83. Sat Nov 6 21:45:59 2021 reduce to 10049850 relation sets and 9777037 unique ideals
  84. Sat Nov 6 21:45:59 2021 commencing full merge
  85. Sat Nov 6 21:48:29 2021 memory use: 1344.9 MB
  86. Sat Nov 6 21:48:30 2021 found 4603571 cycles, need 4601237
  87. Sat Nov 6 21:48:31 2021 weight of 4601237 cycles is about 460499024 (100.08/cycle)
  88. Sat Nov 6 21:48:31 2021 distribution of cycle lengths:
  89. Sat Nov 6 21:48:31 2021 1 relations: 419821
  90. Sat Nov 6 21:48:31 2021 2 relations: 400975
  91. Sat Nov 6 21:48:31 2021 3 relations: 384154
  92. Sat Nov 6 21:48:31 2021 4 relations: 356952
  93. Sat Nov 6 21:48:31 2021 5 relations: 336308
  94. Sat Nov 6 21:48:31 2021 6 relations: 314236
  95. Sat Nov 6 21:48:31 2021 7 relations: 290890
  96. Sat Nov 6 21:48:31 2021 8 relations: 268967
  97. Sat Nov 6 21:48:31 2021 9 relations: 247199
  98. Sat Nov 6 21:48:31 2021 10+ relations: 1581735
  99. Sat Nov 6 21:48:31 2021 heaviest cycle: 28 relations
  100. Sat Nov 6 21:48:31 2021 commencing cycle optimization
  101. Sat Nov 6 21:48:36 2021 start with 37037818 relations
  102. Sat Nov 6 21:49:26 2021 pruned 1479618 relations
  103. Sat Nov 6 21:49:26 2021 memory use: 1015.1 MB
  104. Sat Nov 6 21:49:26 2021 distribution of cycle lengths:
  105. Sat Nov 6 21:49:26 2021 1 relations: 419821
  106. Sat Nov 6 21:49:26 2021 2 relations: 408784
  107. Sat Nov 6 21:49:26 2021 3 relations: 397705
  108. Sat Nov 6 21:49:26 2021 4 relations: 368997
  109. Sat Nov 6 21:49:26 2021 5 relations: 350352
  110. Sat Nov 6 21:49:26 2021 6 relations: 325524
  111. Sat Nov 6 21:49:26 2021 7 relations: 301864
  112. Sat Nov 6 21:49:26 2021 8 relations: 278120
  113. Sat Nov 6 21:49:26 2021 9 relations: 254774
  114. Sat Nov 6 21:49:26 2021 10+ relations: 1495296
  115. Sat Nov 6 21:49:26 2021 heaviest cycle: 28 relations
  116. Sat Nov 6 21:49:31 2021 RelProcTime: 790
  117. Sat Nov 6 21:49:31 2021
  118. Sat Nov 6 21:49:31 2021 commencing linear algebra
  119. Sat Nov 6 21:49:31 2021 using VBITS=384
  120. Sat Nov 6 21:49:31 2021 read 4601237 cycles
  121. Sat Nov 6 21:49:36 2021 cycles contain 15287789 unique relations
  122. Sat Nov 6 21:50:26 2021 read 15287789 relations
  123. Sat Nov 6 21:50:41 2021 using 20 quadratic characters above 4294917295
  124. Sat Nov 6 21:51:23 2021 building initial matrix
  125. Sat Nov 6 21:52:55 2021 memory use: 1821.0 MB
  126. Sat Nov 6 21:52:56 2021 read 4601237 cycles
  127. Sat Nov 6 21:52:57 2021 matrix is 4601060 x 4601237 (1846.4 MB) with weight 526581995 (114.44/col)
  128. Sat Nov 6 21:52:57 2021 sparse part has weight 433408824 (94.19/col)
  129. Sat Nov 6 21:53:21 2021 filtering completed in 2 passes
  130. Sat Nov 6 21:53:22 2021 matrix is 4600965 x 4601117 (1846.4 MB) with weight 526578812 (114.45/col)
  131. Sat Nov 6 21:53:22 2021 sparse part has weight 433407999 (94.20/col)
  132. Sat Nov 6 21:53:28 2021 matrix starts at (0, 0)
  133. Sat Nov 6 21:53:28 2021 matrix is 4600965 x 4601117 (1846.4 MB) with weight 526578812 (114.45/col)
  134. Sat Nov 6 21:53:28 2021 sparse part has weight 433407999 (94.20/col)
  135. Sat Nov 6 21:53:28 2021 saving the first 368 matrix rows for later
  136. Sat Nov 6 21:53:29 2021 matrix includes 384 packed rows
  137. Sat Nov 6 21:53:31 2021 matrix is 4600597 x 4601117 (1722.0 MB) with weight 380173647 (82.63/col)
  138. Sat Nov 6 21:53:31 2021 sparse part has weight 359376527 (78.11/col)
  139. Sat Nov 6 21:53:31 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  140. Sat Nov 6 21:53:31 2021 selected card has CUDA arch 7.0
  141. Sat Nov 6 21:53:44 2021 commencing Lanczos iteration
  142. Sat Nov 6 21:53:45 2021 memory use: 4461.9 MB
  143. Sat Nov 6 21:53:46 2021 linear algebra at 0.0%, ETA 0h33m
  144. Sat Nov 6 21:53:47 2021 checkpointing every 7590000 dimensions
  145. Sat Nov 6 22:36:04 2021 lanczos halted after 12006 iterations (dim = 4600589)
  146. Sat Nov 6 22:36:29 2021 recovered 33 nontrivial dependencies
  147. Sat Nov 6 22:36:29 2021 BLanczosTime: 2818
  148. Sat Nov 6 22:36:29 2021
  149. Sat Nov 6 22:36:29 2021 commencing square root phase
  150. Sat Nov 6 22:36:29 2021 handling dependencies 1 to 64
  151. Sat Nov 6 22:36:29 2021 reading relations for dependency 1
  152. Sat Nov 6 22:36:29 2021 read 2300565 cycles
  153. Sat Nov 6 22:36:32 2021 cycles contain 7641422 unique relations
  154. Sat Nov 6 22:36:58 2021 read 7641422 relations
  155. Sat Nov 6 22:37:16 2021 multiplying 7641422 relations
  156. Sat Nov 6 22:39:58 2021 multiply complete, coefficients have about 182.72 million bits
  157. Sat Nov 6 22:39:59 2021 initial square root is modulo 3608477
  158. Sat Nov 6 22:43:06 2021 sqrtTime: 397
  159. Sat Nov 6 22:43:06 2021 p64 factor: 2592429662239495149735970934201529445285820287021605942336108841
  160. Sat Nov 6 22:43:06 2021 p99 factor: 100278929786769673737832293195346503349066744768752162168732311137366388345552115993458355034371731
  161. Sat Nov 6 22:43:06 2021 elapsed time 01:06:46
  162.  
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