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Sep 16th, 2022
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  1. Fri Sep 16 06:18:06 2022
  2. Fri Sep 16 06:18:06 2022
  3. Fri Sep 16 06:18:06 2022 Msieve v. 1.54 (SVN unknown)
  4. Fri Sep 16 06:18:06 2022 random seeds: e076cb97 92dbce00
  5. Fri Sep 16 06:18:06 2022 factoring 2210387394757216724333649172019364377042544152994800970151684915905653859050511458573354032224770097955517919630782299239417088821782627728171644790844123173 (157 digits)
  6. Fri Sep 16 06:18:06 2022 searching for 15-digit factors
  7. Fri Sep 16 06:18:07 2022 commencing number field sieve (157-digit input)
  8. Fri Sep 16 06:18:07 2022 R0: -3376038956961646299003897221137
  9. Fri Sep 16 06:18:07 2022 R1: 49627681316021237
  10. Fri Sep 16 06:18:07 2022 A0: 107536016215061267496346786236642968436
  11. Fri Sep 16 06:18:07 2022 A1: -159735616350923384606847944000484
  12. Fri Sep 16 06:18:07 2022 A2: 8212627412148559808954201
  13. Fri Sep 16 06:18:07 2022 A3: 2628287799684584396
  14. Fri Sep 16 06:18:07 2022 A4: 482934173300
  15. Fri Sep 16 06:18:07 2022 A5: 5040
  16. Fri Sep 16 06:18:07 2022 skew 10581129.83, size 3.608e-15, alpha -7.302, combined = 2.417e-12 rroots = 3
  17. Fri Sep 16 06:18:07 2022
  18. Fri Sep 16 06:18:07 2022 commencing relation filtering
  19. Fri Sep 16 06:18:07 2022 setting target matrix density to 130.0
  20. Fri Sep 16 06:18:07 2022 estimated available RAM is 31304.4 MB
  21. Fri Sep 16 06:18:07 2022 commencing duplicate removal, pass 1
  22. Fri Sep 16 06:19:12 2022 error -9 reading relation 37764032
  23. Fri Sep 16 06:19:12 2022 error -9 reading relation 37785576
  24. Fri Sep 16 06:19:12 2022 error -15 reading relation 37830947
  25. Fri Sep 16 06:19:12 2022 error -9 reading relation 37853697
  26. Fri Sep 16 06:19:13 2022 error -15 reading relation 38030968
  27. Fri Sep 16 06:19:39 2022 error -9 reading relation 53307279
  28. Fri Sep 16 06:19:48 2022 error -9 reading relation 58251112
  29. Fri Sep 16 06:19:48 2022 error -9 reading relation 58404921
  30. Fri Sep 16 06:19:48 2022 error -9 reading relation 58552765
  31. Fri Sep 16 06:19:57 2022 skipped 4 relations with composite factors
  32. Fri Sep 16 06:19:57 2022 found 13701967 hash collisions in 63778941 relations
  33. Fri Sep 16 06:20:21 2022 commencing duplicate removal, pass 2
  34. Fri Sep 16 06:21:25 2022 found 13750369 duplicates and 50028572 unique relations
  35. Fri Sep 16 06:21:25 2022 memory use: 362.4 MB
  36. Fri Sep 16 06:21:25 2022 reading ideals above 720000
  37. Fri Sep 16 06:21:25 2022 commencing singleton removal, initial pass
  38. Fri Sep 16 06:24:04 2022 memory use: 1378.0 MB
  39. Fri Sep 16 06:24:05 2022 reading all ideals from disk
  40. Fri Sep 16 06:24:06 2022 memory use: 2184.3 MB
  41. Fri Sep 16 06:24:11 2022 keeping 46868697 ideals with weight <= 200, target excess is 272352
  42. Fri Sep 16 06:24:15 2022 commencing in-memory singleton removal
  43. Fri Sep 16 06:24:17 2022 begin with 50028572 relations and 46868697 unique ideals
  44. Fri Sep 16 06:24:21 2022 reduce to 31880522 relations and 26846990 ideals in 14 passes
  45. Fri Sep 16 06:24:21 2022 max relations containing the same ideal: 157
  46. Fri Sep 16 06:24:30 2022 removing 4649939 relations and 3649939 ideals in 1000000 cliques
  47. Fri Sep 16 06:24:32 2022 commencing in-memory singleton removal
  48. Fri Sep 16 06:24:33 2022 begin with 27230583 relations and 26846990 unique ideals
  49. Fri Sep 16 06:24:35 2022 reduce to 26710615 relations and 22657566 ideals in 9 passes
  50. Fri Sep 16 06:24:35 2022 max relations containing the same ideal: 139
  51. Fri Sep 16 06:24:43 2022 removing 3660686 relations and 2660686 ideals in 1000000 cliques
  52. Fri Sep 16 06:24:44 2022 commencing in-memory singleton removal
  53. Fri Sep 16 06:24:45 2022 begin with 23049929 relations and 22657566 unique ideals
  54. Fri Sep 16 06:24:46 2022 reduce to 22672262 relations and 19605660 ideals in 8 passes
  55. Fri Sep 16 06:24:46 2022 max relations containing the same ideal: 125
  56. Fri Sep 16 06:24:53 2022 removing 3393521 relations and 2393521 ideals in 1000000 cliques
  57. Fri Sep 16 06:24:54 2022 commencing in-memory singleton removal
  58. Fri Sep 16 06:24:55 2022 begin with 19278741 relations and 19605660 unique ideals
  59. Fri Sep 16 06:24:56 2022 reduce to 18915952 relations and 16835018 ideals in 8 passes
  60. Fri Sep 16 06:24:56 2022 max relations containing the same ideal: 114
  61. Fri Sep 16 06:25:02 2022 removing 3264891 relations and 2264891 ideals in 1000000 cliques
  62. Fri Sep 16 06:25:03 2022 commencing in-memory singleton removal
  63. Fri Sep 16 06:25:03 2022 begin with 15651061 relations and 16835018 unique ideals
  64. Fri Sep 16 06:25:04 2022 reduce to 15264615 relations and 14165910 ideals in 8 passes
  65. Fri Sep 16 06:25:04 2022 max relations containing the same ideal: 95
  66. Fri Sep 16 06:25:09 2022 removing 2628796 relations and 1846020 ideals in 782776 cliques
  67. Fri Sep 16 06:25:10 2022 commencing in-memory singleton removal
  68. Fri Sep 16 06:25:10 2022 begin with 12635819 relations and 14165910 unique ideals
  69. Fri Sep 16 06:25:11 2022 reduce to 12330934 relations and 12001375 ideals in 8 passes
  70. Fri Sep 16 06:25:11 2022 max relations containing the same ideal: 83
  71. Fri Sep 16 06:25:15 2022 removing 94217 relations and 80587 ideals in 13630 cliques
  72. Fri Sep 16 06:25:15 2022 commencing in-memory singleton removal
  73. Fri Sep 16 06:25:16 2022 begin with 12236717 relations and 12001375 unique ideals
  74. Fri Sep 16 06:25:16 2022 reduce to 12236330 relations and 11920401 ideals in 5 passes
  75. Fri Sep 16 06:25:16 2022 max relations containing the same ideal: 82
  76. Fri Sep 16 06:25:17 2022 relations with 0 large ideals: 865
  77. Fri Sep 16 06:25:17 2022 relations with 1 large ideals: 3154
  78. Fri Sep 16 06:25:17 2022 relations with 2 large ideals: 45605
  79. Fri Sep 16 06:25:17 2022 relations with 3 large ideals: 318504
  80. Fri Sep 16 06:25:17 2022 relations with 4 large ideals: 1170318
  81. Fri Sep 16 06:25:17 2022 relations with 5 large ideals: 2525024
  82. Fri Sep 16 06:25:17 2022 relations with 6 large ideals: 3385547
  83. Fri Sep 16 06:25:17 2022 relations with 7+ large ideals: 4787313
  84. Fri Sep 16 06:25:17 2022 commencing 2-way merge
  85. Fri Sep 16 06:25:23 2022 reduce to 8058033 relation sets and 7742104 unique ideals
  86. Fri Sep 16 06:25:23 2022 commencing full merge
  87. Fri Sep 16 06:28:13 2022 memory use: 998.3 MB
  88. Fri Sep 16 06:28:14 2022 found 3524148 cycles, need 3520304
  89. Fri Sep 16 06:28:15 2022 weight of 3520304 cycles is about 457976629 (130.10/cycle)
  90. Fri Sep 16 06:28:15 2022 distribution of cycle lengths:
  91. Fri Sep 16 06:28:15 2022 1 relations: 100178
  92. Fri Sep 16 06:28:15 2022 2 relations: 183420
  93. Fri Sep 16 06:28:15 2022 3 relations: 229365
  94. Fri Sep 16 06:28:15 2022 4 relations: 242913
  95. Fri Sep 16 06:28:15 2022 5 relations: 256687
  96. Fri Sep 16 06:28:15 2022 6 relations: 255907
  97. Fri Sep 16 06:28:15 2022 7 relations: 251207
  98. Fri Sep 16 06:28:15 2022 8 relations: 243123
  99. Fri Sep 16 06:28:15 2022 9 relations: 228843
  100. Fri Sep 16 06:28:15 2022 10+ relations: 1528661
  101. Fri Sep 16 06:28:15 2022 heaviest cycle: 28 relations
  102. Fri Sep 16 06:28:16 2022 commencing cycle optimization
  103. Fri Sep 16 06:28:23 2022 start with 33295559 relations
  104. Fri Sep 16 06:29:35 2022 pruned 1721084 relations
  105. Fri Sep 16 06:29:35 2022 memory use: 849.4 MB
  106. Fri Sep 16 06:29:35 2022 distribution of cycle lengths:
  107. Fri Sep 16 06:29:35 2022 1 relations: 100178
  108. Fri Sep 16 06:29:35 2022 2 relations: 189047
  109. Fri Sep 16 06:29:35 2022 3 relations: 240938
  110. Fri Sep 16 06:29:35 2022 4 relations: 255116
  111. Fri Sep 16 06:29:35 2022 5 relations: 271532
  112. Fri Sep 16 06:29:35 2022 6 relations: 270444
  113. Fri Sep 16 06:29:35 2022 7 relations: 266453
  114. Fri Sep 16 06:29:35 2022 8 relations: 256214
  115. Fri Sep 16 06:29:35 2022 9 relations: 240984
  116. Fri Sep 16 06:29:35 2022 10+ relations: 1429398
  117. Fri Sep 16 06:29:35 2022 heaviest cycle: 28 relations
  118. Fri Sep 16 06:29:42 2022 RelProcTime: 695
  119. Fri Sep 16 06:29:42 2022
  120. Fri Sep 16 06:29:42 2022 commencing linear algebra
  121. Fri Sep 16 06:29:42 2022 using VBITS=256
  122. Fri Sep 16 06:29:43 2022 read 3520304 cycles
  123. Fri Sep 16 06:29:52 2022 cycles contain 12062716 unique relations
  124. Fri Sep 16 06:30:43 2022 read 12062716 relations
  125. Fri Sep 16 06:30:44 2022 using 20 quadratic characters above 4294917295
  126. Fri Sep 16 06:30:49 2022 building initial matrix
  127. Fri Sep 16 06:33:21 2022 memory use: 1658.8 MB
  128. Fri Sep 16 06:33:23 2022 read 3520304 cycles
  129. Fri Sep 16 06:33:23 2022 matrix is 3520125 x 3520304 (1764.7 MB) with weight 534750457 (151.90/col)
  130. Fri Sep 16 06:33:23 2022 sparse part has weight 420355104 (119.41/col)
  131. Fri Sep 16 06:34:01 2022 filtering completed in 2 passes
  132. Fri Sep 16 06:34:02 2022 matrix is 3520107 x 3520285 (1764.7 MB) with weight 534749599 (151.91/col)
  133. Fri Sep 16 06:34:02 2022 sparse part has weight 420354916 (119.41/col)
  134. Fri Sep 16 06:34:22 2022 matrix starts at (0, 0)
  135. Fri Sep 16 06:34:22 2022 matrix is 3520107 x 3520285 (1764.7 MB) with weight 534749599 (151.91/col)
  136. Fri Sep 16 06:34:22 2022 sparse part has weight 420354916 (119.41/col)
  137. Fri Sep 16 06:34:22 2022 saving the first 240 matrix rows for later
  138. Fri Sep 16 06:34:24 2022 matrix includes 256 packed rows
  139. Fri Sep 16 06:34:25 2022 matrix is 3519867 x 3520285 (1561.7 MB) with weight 380857658 (108.19/col)
  140. Fri Sep 16 06:34:25 2022 sparse part has weight 353062681 (100.29/col)
  141. Fri Sep 16 06:34:25 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  142. Fri Sep 16 06:34:33 2022 commencing Lanczos iteration (16 threads)
  143. Fri Sep 16 06:34:33 2022 memory use: 2099.4 MB
  144. Fri Sep 16 06:35:53 2022 linear algebra at 0.9%, ETA 2h30m
  145. Fri Sep 16 06:37:53 2022 checking every 20000 dimensions, checkpointing every 1400000 dimensions
  146. Fri Sep 16 09:09:55 2022 lanczos halted after 13793 iterations (dim = 3519865)
  147. Fri Sep 16 09:10:22 2022 recovered 29 nontrivial dependencies
  148. Fri Sep 16 09:10:22 2022 BLanczosTime: 9640
  149. Fri Sep 16 09:10:22 2022
  150. Fri Sep 16 09:10:22 2022 commencing square root phase
  151. Fri Sep 16 09:10:22 2022 handling dependencies 1 to 64
  152. Fri Sep 16 09:10:22 2022 reading relations for dependency 1
  153. Fri Sep 16 09:10:23 2022 read 1760143 cycles
  154. Fri Sep 16 09:10:30 2022 cycles contain 6032342 unique relations
  155. Fri Sep 16 09:11:59 2022 read 6032342 relations
  156. Fri Sep 16 09:12:59 2022 multiplying 6032342 relations
  157. Fri Sep 16 09:18:49 2022 multiply complete, coefficients have about 302.02 million bits
  158. Fri Sep 16 09:18:51 2022 initial square root is modulo 262693
  159. Fri Sep 16 09:22:46 2022 sqrtTime: 744
  160. Fri Sep 16 09:22:46 2022 p53 factor: 20599439321755986199891677180050288460317959128381983
  161. Fri Sep 16 09:22:46 2022 p105 factor: 107303279484055085745728380107853028100562789641728750608924101953777366242567314046979848225052424559931
  162. Fri Sep 16 09:22:46 2022 elapsed time 03:04:40
  163.  
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