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Msieve log of 92221_227

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Jul 3rd, 2022
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  1. Sat Jul 02 14:08:03 2022
  2. Sat Jul 02 14:08:03 2022
  3. Sat Jul 02 14:08:03 2022 Msieve v. 1.53 (SVN 988)
  4. Sat Jul 02 14:08:03 2022 random seeds: 6a4088d0 f51b53b4
  5. Sat Jul 02 14:08:03 2022 factoring 119246759861055617758131582048985940540957974177624603399327901712233893145273604084653637453723316413935249358009249020069734489934557983324712251031267 (153 digits)
  6. Sat Jul 02 14:08:04 2022 searching for 15-digit factors
  7. Sat Jul 02 14:08:04 2022 commencing number field sieve (153-digit input)
  8. Sat Jul 02 14:08:04 2022 R0: -206766517599141368273461704497
  9. Sat Jul 02 14:08:04 2022 R1: 39744231146425963741
  10. Sat Jul 02 14:08:04 2022 A0: -37767652509301309800232144359203232
  11. Sat Jul 02 14:08:04 2022 A1: 1289900479169630654861965562862
  12. Sat Jul 02 14:08:04 2022 A2: -231197759544149495586311
  13. Sat Jul 02 14:08:04 2022 A3: -3582751006875096791
  14. Sat Jul 02 14:08:04 2022 A4: -201166778778
  15. Sat Jul 02 14:08:04 2022 A5: 1893240
  16. Sat Jul 02 14:08:04 2022 skew 885455.58, size 8.282e-015, alpha -6.377, combined = 3.987e-012 rroots = 3
  17. Sat Jul 02 14:08:04 2022
  18. Sat Jul 02 14:08:04 2022 commencing relation filtering
  19. Sat Jul 02 14:08:04 2022 setting target matrix density to 130.0
  20. Sat Jul 02 14:08:04 2022 estimated available RAM is 16151.1 MB
  21. Sat Jul 02 14:08:04 2022 commencing duplicate removal, pass 1
  22. Sat Jul 02 14:11:17 2022 error -15 reading relation 13827970
  23. Sat Jul 02 14:15:46 2022 error -15 reading relation 33268860
  24. Sat Jul 02 14:20:52 2022 error -15 reading relation 55320074
  25. Sat Jul 02 14:21:54 2022 skipped 3 relations with composite factors
  26. Sat Jul 02 14:21:54 2022 found 10483025 hash collisions in 59820955 relations
  27. Sat Jul 02 14:22:37 2022 added 121553 free relations
  28. Sat Jul 02 14:22:37 2022 commencing duplicate removal, pass 2
  29. Sat Jul 02 14:23:23 2022 found 9684344 duplicates and 50258164 unique relations
  30. Sat Jul 02 14:23:23 2022 memory use: 330.4 MB
  31. Sat Jul 02 14:23:23 2022 reading ideals above 720000
  32. Sat Jul 02 14:23:24 2022 commencing singleton removal, initial pass
  33. Sat Jul 02 14:34:48 2022 memory use: 1378.0 MB
  34. Sat Jul 02 14:34:48 2022 reading all ideals from disk
  35. Sat Jul 02 14:34:50 2022 memory use: 1787.4 MB
  36. Sat Jul 02 14:34:55 2022 keeping 46477245 ideals with weight <= 200, target excess is 271503
  37. Sat Jul 02 14:35:01 2022 commencing in-memory singleton removal
  38. Sat Jul 02 14:35:06 2022 begin with 50258164 relations and 46477245 unique ideals
  39. Sat Jul 02 14:36:05 2022 reduce to 31841205 relations and 26127483 ideals in 14 passes
  40. Sat Jul 02 14:36:05 2022 max relations containing the same ideal: 154
  41. Sat Jul 02 14:36:24 2022 removing 4577017 relations and 3577017 ideals in 1000000 cliques
  42. Sat Jul 02 14:36:25 2022 commencing in-memory singleton removal
  43. Sat Jul 02 14:36:28 2022 begin with 27264188 relations and 26127483 unique ideals
  44. Sat Jul 02 14:36:58 2022 reduce to 26755344 relations and 22022068 ideals in 9 passes
  45. Sat Jul 02 14:36:58 2022 max relations containing the same ideal: 140
  46. Sat Jul 02 14:37:13 2022 removing 3600627 relations and 2600627 ideals in 1000000 cliques
  47. Sat Jul 02 14:37:15 2022 commencing in-memory singleton removal
  48. Sat Jul 02 14:37:17 2022 begin with 23154717 relations and 22022068 unique ideals
  49. Sat Jul 02 14:37:39 2022 reduce to 22785411 relations and 19038705 ideals in 8 passes
  50. Sat Jul 02 14:37:39 2022 max relations containing the same ideal: 122
  51. Sat Jul 02 14:37:53 2022 removing 3341931 relations and 2341931 ideals in 1000000 cliques
  52. Sat Jul 02 14:37:54 2022 commencing in-memory singleton removal
  53. Sat Jul 02 14:37:56 2022 begin with 19443480 relations and 19038705 unique ideals
  54. Sat Jul 02 14:38:15 2022 reduce to 19089792 relations and 16329290 ideals in 8 passes
  55. Sat Jul 02 14:38:15 2022 max relations containing the same ideal: 108
  56. Sat Jul 02 14:38:27 2022 removing 3219015 relations and 2219015 ideals in 1000000 cliques
  57. Sat Jul 02 14:38:28 2022 commencing in-memory singleton removal
  58. Sat Jul 02 14:38:30 2022 begin with 15870777 relations and 16329290 unique ideals
  59. Sat Jul 02 14:38:44 2022 reduce to 15495872 relations and 13718132 ideals in 8 passes
  60. Sat Jul 02 14:38:44 2022 max relations containing the same ideal: 99
  61. Sat Jul 02 14:38:54 2022 removing 3153325 relations and 2153325 ideals in 1000000 cliques
  62. Sat Jul 02 14:38:55 2022 commencing in-memory singleton removal
  63. Sat Jul 02 14:38:56 2022 begin with 12342547 relations and 13718132 unique ideals
  64. Sat Jul 02 14:39:09 2022 reduce to 11914177 relations and 11112131 ideals in 9 passes
  65. Sat Jul 02 14:39:09 2022 max relations containing the same ideal: 85
  66. Sat Jul 02 14:39:17 2022 removing 1774562 relations and 1287460 ideals in 487102 cliques
  67. Sat Jul 02 14:39:17 2022 commencing in-memory singleton removal
  68. Sat Jul 02 14:39:18 2022 begin with 10139615 relations and 11112131 unique ideals
  69. Sat Jul 02 14:39:27 2022 reduce to 9963812 relations and 9642511 ideals in 7 passes
  70. Sat Jul 02 14:39:27 2022 max relations containing the same ideal: 74
  71. Sat Jul 02 14:39:35 2022 relations with 0 large ideals: 857
  72. Sat Jul 02 14:39:35 2022 relations with 1 large ideals: 3554
  73. Sat Jul 02 14:39:35 2022 relations with 2 large ideals: 51076
  74. Sat Jul 02 14:39:35 2022 relations with 3 large ideals: 333194
  75. Sat Jul 02 14:39:35 2022 relations with 4 large ideals: 1139968
  76. Sat Jul 02 14:39:35 2022 relations with 5 large ideals: 2274533
  77. Sat Jul 02 14:39:35 2022 relations with 6 large ideals: 2779299
  78. Sat Jul 02 14:39:35 2022 relations with 7+ large ideals: 3381331
  79. Sat Jul 02 14:39:35 2022 commencing 2-way merge
  80. Sat Jul 02 14:39:43 2022 reduce to 6428815 relation sets and 6107514 unique ideals
  81. Sat Jul 02 14:39:43 2022 commencing full merge
  82. Sat Jul 02 14:43:18 2022 memory use: 813.3 MB
  83. Sat Jul 02 14:43:20 2022 found 2817600 cycles, need 2807714
  84. Sat Jul 02 14:43:20 2022 weight of 2807714 cycles is about 365516307 (130.18/cycle)
  85. Sat Jul 02 14:43:20 2022 distribution of cycle lengths:
  86. Sat Jul 02 14:43:20 2022 1 relations: 74733
  87. Sat Jul 02 14:43:20 2022 2 relations: 142269
  88. Sat Jul 02 14:43:20 2022 3 relations: 176386
  89. Sat Jul 02 14:43:20 2022 4 relations: 187553
  90. Sat Jul 02 14:43:20 2022 5 relations: 196443
  91. Sat Jul 02 14:43:20 2022 6 relations: 196878
  92. Sat Jul 02 14:43:20 2022 7 relations: 197064
  93. Sat Jul 02 14:43:20 2022 8 relations: 191238
  94. Sat Jul 02 14:43:20 2022 9 relations: 182341
  95. Sat Jul 02 14:43:20 2022 10+ relations: 1262809
  96. Sat Jul 02 14:43:20 2022 heaviest cycle: 28 relations
  97. Sat Jul 02 14:43:21 2022 commencing cycle optimization
  98. Sat Jul 02 14:43:29 2022 start with 27078196 relations
  99. Sat Jul 02 14:45:15 2022 pruned 1406136 relations
  100. Sat Jul 02 14:45:15 2022 memory use: 688.3 MB
  101. Sat Jul 02 14:45:15 2022 distribution of cycle lengths:
  102. Sat Jul 02 14:45:15 2022 1 relations: 74733
  103. Sat Jul 02 14:45:15 2022 2 relations: 146451
  104. Sat Jul 02 14:45:15 2022 3 relations: 184693
  105. Sat Jul 02 14:45:15 2022 4 relations: 196679
  106. Sat Jul 02 14:45:15 2022 5 relations: 207570
  107. Sat Jul 02 14:45:15 2022 6 relations: 208198
  108. Sat Jul 02 14:45:15 2022 7 relations: 208616
  109. Sat Jul 02 14:45:15 2022 8 relations: 202782
  110. Sat Jul 02 14:45:15 2022 9 relations: 192584
  111. Sat Jul 02 14:45:15 2022 10+ relations: 1185408
  112. Sat Jul 02 14:45:15 2022 heaviest cycle: 28 relations
  113. Sat Jul 02 14:45:20 2022 RelProcTime: 2236
  114. Sat Jul 02 14:45:20 2022
  115. Sat Jul 02 14:45:20 2022 commencing linear algebra
  116. Sat Jul 02 14:45:21 2022 read 2807714 cycles
  117. Sat Jul 02 14:45:30 2022 cycles contain 9753333 unique relations
  118. Sat Jul 02 14:47:19 2022 read 9753333 relations
  119. Sat Jul 02 14:47:40 2022 using 20 quadratic characters above 4294917295
  120. Sat Jul 02 14:48:48 2022 building initial matrix
  121. Sat Jul 02 14:52:39 2022 memory use: 1346.0 MB
  122. Sat Jul 02 14:52:43 2022 read 2807714 cycles
  123. Sat Jul 02 14:52:44 2022 matrix is 2807535 x 2807714 (1399.1 MB) with weight 422896257 (150.62/col)
  124. Sat Jul 02 14:52:44 2022 sparse part has weight 335888470 (119.63/col)
  125. Sat Jul 02 14:53:27 2022 filtering completed in 2 passes
  126. Sat Jul 02 14:53:28 2022 matrix is 2807496 x 2807675 (1399.1 MB) with weight 422894333 (150.62/col)
  127. Sat Jul 02 14:53:28 2022 sparse part has weight 335887896 (119.63/col)
  128. Sat Jul 02 14:53:41 2022 matrix starts at (0, 0)
  129. Sat Jul 02 14:53:42 2022 matrix is 2807496 x 2807675 (1399.1 MB) with weight 422894333 (150.62/col)
  130. Sat Jul 02 14:53:42 2022 sparse part has weight 335887896 (119.63/col)
  131. Sat Jul 02 14:53:42 2022 saving the first 48 matrix rows for later
  132. Sat Jul 02 14:53:44 2022 matrix includes 64 packed rows
  133. Sat Jul 02 14:53:44 2022 matrix is 2807448 x 2807675 (1358.2 MB) with weight 362591162 (129.14/col)
  134. Sat Jul 02 14:53:44 2022 sparse part has weight 327979038 (116.82/col)
  135. Sat Jul 02 14:53:44 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  136. Sat Jul 02 14:54:09 2022 commencing Lanczos iteration (6 threads)
  137. Sat Jul 02 14:54:09 2022 memory use: 1121.1 MB
  138. Sat Jul 02 14:54:21 2022 linear algebra at 0.1%, ETA 6h 9m
  139. Sat Jul 02 14:54:25 2022 checkpointing every 460000 dimensions
  140. Sat Jul 02 20:47:38 2022 lanczos halted after 44406 iterations (dim = 2807447)
  141. Sat Jul 02 20:47:42 2022 recovered 27 nontrivial dependencies
  142. Sat Jul 02 20:47:42 2022 BLanczosTime: 21742
  143. Sat Jul 02 20:47:42 2022
  144. Sat Jul 02 20:47:42 2022 commencing square root phase
  145. Sat Jul 02 20:47:42 2022 handling dependencies 1 to 64
  146. Sat Jul 02 20:47:42 2022 reading relations for dependency 1
  147. Sat Jul 02 20:47:43 2022 read 1404536 cycles
  148. Sat Jul 02 20:47:47 2022 cycles contain 4877726 unique relations
  149. Sat Jul 02 20:48:59 2022 read 4877726 relations
  150. Sat Jul 02 20:49:31 2022 multiplying 4877726 relations
  151. Sat Jul 02 20:57:31 2022 multiply complete, coefficients have about 266.56 million bits
  152. Sat Jul 02 20:57:33 2022 initial square root is modulo 60737
  153. Sat Jul 02 21:06:44 2022 GCD is N, no factor found
  154. Sat Jul 02 21:06:44 2022 reading relations for dependency 2
  155. Sat Jul 02 21:06:45 2022 read 1402956 cycles
  156. Sat Jul 02 21:06:49 2022 cycles contain 4874632 unique relations
  157. Sat Jul 02 21:07:49 2022 read 4874632 relations
  158. Sat Jul 02 21:08:21 2022 multiplying 4874632 relations
  159. Sat Jul 02 21:16:09 2022 multiply complete, coefficients have about 266.40 million bits
  160. Sat Jul 02 21:16:11 2022 initial square root is modulo 60383
  161. Sat Jul 02 21:25:17 2022 sqrtTime: 2255
  162. Sat Jul 02 21:25:17 2022 p68 factor: 85591072919645344979184819209704761452478143550799754632448309514121
  163. Sat Jul 02 21:25:17 2022 p85 factor: 1393214920591157001526157049220501314646116808257905499707434642108572978590056150027
  164. Sat Jul 02 21:25:17 2022 elapsed time 07:17:14
  165.  
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