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Msieve log of 4m3_487

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May 13th, 2022
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  1. Sun May 08 11:03:35 2022
  2. Sun May 08 11:03:35 2022
  3. Sun May 08 11:03:35 2022 Msieve v. 1.52 (SVN unknown)
  4. Sun May 08 11:03:35 2022 random seeds: 54293950 9e6f073b
  5. Sun May 08 11:03:35 2022 factoring 1821819809385062418047626149364336694290292850360765553009417563362696893861908927450314800237647982875332141701318711301504059895062093632132062416509345480261773108137 (169 digits)
  6. Sun May 08 11:03:36 2022 no P-1/P+1/ECM available, skipping
  7. Sun May 08 11:03:36 2022 commencing number field sieve (169-digit input)
  8. Sun May 08 11:03:36 2022 R0: -322839984384405228641880104025016
  9. Sun May 08 11:03:36 2022 R1: 706446151784441
  10. Sun May 08 11:03:36 2022 A0: 36919717930786929170475096783168332191785
  11. Sun May 08 11:03:36 2022 A1: 70737301854921986564981733665349843
  12. Sun May 08 11:03:36 2022 A2: -2069259200541332356396993537
  13. Sun May 08 11:03:36 2022 A3: -932607104169236709747
  14. Sun May 08 11:03:36 2022 A4: 6681840180288
  15. Sun May 08 11:03:36 2022 A5: 519480
  16. Sun May 08 11:03:36 2022 skew 18051501.87, size 1.677e-016, alpha -7.290, combined = 3.883e-013 rroots = 5
  17. Sun May 08 11:03:36 2022
  18. Sun May 08 11:03:36 2022 commencing relation filtering
  19. Sun May 08 11:03:36 2022 setting target matrix density to 108.0
  20. Sun May 08 11:03:36 2022 estimated available RAM is 16316.6 MB
  21. Sun May 08 11:03:36 2022 commencing duplicate removal, pass 1
  22. Sun May 08 11:04:45 2022 error -1 reading relation 7069054
  23. Sun May 08 11:04:49 2022 error -15 reading relation 7513065
  24. Sun May 08 11:04:57 2022 error -15 reading relation 8257611
  25. Sun May 08 11:04:59 2022 error -15 reading relation 8444857
  26. Sun May 08 11:05:14 2022 error -15 reading relation 10075038
  27. Sun May 08 11:05:15 2022 error -15 reading relation 10182497
  28. Sun May 08 11:05:22 2022 error -15 reading relation 10850412
  29. Sun May 08 11:05:22 2022 error -9 reading relation 10902473
  30. Sun May 08 11:24:13 2022 error -15 reading relation 126136324
  31. Sun May 08 11:24:13 2022 error -15 reading relation 126155719
  32. Sun May 08 11:24:38 2022 error -15 reading relation 128729028
  33. Sun May 08 11:24:38 2022 error -9 reading relation 128755827
  34. Sun May 08 11:24:50 2022 found 33865134 hash collisions in 129894639 relations
  35. Sun May 08 11:25:36 2022 added 122054 free relations
  36. Sun May 08 11:25:36 2022 commencing duplicate removal, pass 2
  37. Sun May 08 11:27:04 2022 found 40049200 duplicates and 89967493 unique relations
  38. Sun May 08 11:27:04 2022 memory use: 724.8 MB
  39. Sun May 08 11:27:04 2022 reading ideals above 122748928
  40. Sun May 08 11:27:04 2022 commencing singleton removal, initial pass
  41. Sun May 08 11:43:10 2022 memory use: 1506.0 MB
  42. Sun May 08 11:43:10 2022 reading all ideals from disk
  43. Sun May 08 11:43:11 2022 memory use: 1512.7 MB
  44. Sun May 08 11:43:13 2022 commencing in-memory singleton removal
  45. Sun May 08 11:43:16 2022 begin with 89967493 relations and 75836402 unique ideals
  46. Sun May 08 11:43:51 2022 reduce to 54106080 relations and 35953513 ideals in 18 passes
  47. Sun May 08 11:43:51 2022 max relations containing the same ideal: 29
  48. Sun May 08 11:43:54 2022 reading ideals above 720000
  49. Sun May 08 11:43:55 2022 commencing singleton removal, initial pass
  50. Sun May 08 11:55:32 2022 memory use: 1378.0 MB
  51. Sun May 08 11:55:32 2022 reading all ideals from disk
  52. Sun May 08 11:55:33 2022 memory use: 2080.8 MB
  53. Sun May 08 11:55:38 2022 keeping 49608597 ideals with weight <= 200, target excess is 284278
  54. Sun May 08 11:55:43 2022 commencing in-memory singleton removal
  55. Sun May 08 11:55:47 2022 begin with 54106081 relations and 49608597 unique ideals
  56. Sun May 08 11:56:37 2022 reduce to 53766030 relations and 49268208 ideals in 11 passes
  57. Sun May 08 11:56:37 2022 max relations containing the same ideal: 200
  58. Sun May 08 11:57:00 2022 removing 6082326 relations and 5082326 ideals in 1000000 cliques
  59. Sun May 08 11:57:02 2022 commencing in-memory singleton removal
  60. Sun May 08 11:57:06 2022 begin with 47683704 relations and 49268208 unique ideals
  61. Sun May 08 11:57:41 2022 reduce to 47157266 relations and 43647034 ideals in 9 passes
  62. Sun May 08 11:57:41 2022 max relations containing the same ideal: 192
  63. Sun May 08 11:58:02 2022 removing 4681222 relations and 3681222 ideals in 1000000 cliques
  64. Sun May 08 11:58:03 2022 commencing in-memory singleton removal
  65. Sun May 08 11:58:07 2022 begin with 42476044 relations and 43647034 unique ideals
  66. Sun May 08 11:58:35 2022 reduce to 42109570 relations and 39591457 ideals in 8 passes
  67. Sun May 08 11:58:35 2022 max relations containing the same ideal: 180
  68. Sun May 08 11:58:53 2022 removing 4262672 relations and 3262672 ideals in 1000000 cliques
  69. Sun May 08 11:58:55 2022 commencing in-memory singleton removal
  70. Sun May 08 11:58:58 2022 begin with 37846898 relations and 39591457 unique ideals
  71. Sun May 08 11:59:23 2022 reduce to 37506805 relations and 35981172 ideals in 8 passes
  72. Sun May 08 11:59:23 2022 max relations containing the same ideal: 166
  73. Sun May 08 11:59:39 2022 removing 4065657 relations and 3065657 ideals in 1000000 cliques
  74. Sun May 08 11:59:40 2022 commencing in-memory singleton removal
  75. Sun May 08 11:59:43 2022 begin with 33441148 relations and 35981172 unique ideals
  76. Sun May 08 12:00:04 2022 reduce to 33093259 relations and 32559244 ideals in 8 passes
  77. Sun May 08 12:00:04 2022 max relations containing the same ideal: 155
  78. Sun May 08 12:00:19 2022 removing 1113382 relations and 909130 ideals in 204252 cliques
  79. Sun May 08 12:00:20 2022 commencing in-memory singleton removal
  80. Sun May 08 12:00:22 2022 begin with 31979877 relations and 32559244 unique ideals
  81. Sun May 08 12:00:38 2022 reduce to 31954743 relations and 31624826 ideals in 6 passes
  82. Sun May 08 12:00:38 2022 max relations containing the same ideal: 153
  83. Sun May 08 12:00:57 2022 relations with 0 large ideals: 1002
  84. Sun May 08 12:00:57 2022 relations with 1 large ideals: 1256
  85. Sun May 08 12:00:57 2022 relations with 2 large ideals: 21037
  86. Sun May 08 12:00:57 2022 relations with 3 large ideals: 204024
  87. Sun May 08 12:00:57 2022 relations with 4 large ideals: 1065308
  88. Sun May 08 12:00:57 2022 relations with 5 large ideals: 3388293
  89. Sun May 08 12:00:57 2022 relations with 6 large ideals: 6877428
  90. Sun May 08 12:00:57 2022 relations with 7+ large ideals: 20396395
  91. Sun May 08 12:00:57 2022 commencing 2-way merge
  92. Sun May 08 12:01:18 2022 reduce to 21199751 relation sets and 20869834 unique ideals
  93. Sun May 08 12:01:18 2022 commencing full merge
  94. Sun May 08 12:09:22 2022 memory use: 2561.9 MB
  95. Sun May 08 12:09:24 2022 found 9779615 cycles, need 9758034
  96. Sun May 08 12:09:25 2022 weight of 9758034 cycles is about 1054469326 (108.06/cycle)
  97. Sun May 08 12:09:25 2022 distribution of cycle lengths:
  98. Sun May 08 12:09:25 2022 1 relations: 581275
  99. Sun May 08 12:09:25 2022 2 relations: 786135
  100. Sun May 08 12:09:25 2022 3 relations: 870920
  101. Sun May 08 12:09:25 2022 4 relations: 844501
  102. Sun May 08 12:09:25 2022 5 relations: 812720
  103. Sun May 08 12:09:25 2022 6 relations: 766967
  104. Sun May 08 12:09:25 2022 7 relations: 710040
  105. Sun May 08 12:09:25 2022 8 relations: 651606
  106. Sun May 08 12:09:25 2022 9 relations: 588944
  107. Sun May 08 12:09:25 2022 10+ relations: 3144926
  108. Sun May 08 12:09:25 2022 heaviest cycle: 28 relations
  109. Sun May 08 12:09:27 2022 commencing cycle optimization
  110. Sun May 08 12:09:42 2022 start with 76084700 relations
  111. Sun May 08 12:12:55 2022 pruned 3081090 relations
  112. Sun May 08 12:12:55 2022 memory use: 2115.2 MB
  113. Sun May 08 12:12:55 2022 distribution of cycle lengths:
  114. Sun May 08 12:12:55 2022 1 relations: 581275
  115. Sun May 08 12:12:55 2022 2 relations: 808678
  116. Sun May 08 12:12:55 2022 3 relations: 911582
  117. Sun May 08 12:12:55 2022 4 relations: 879085
  118. Sun May 08 12:12:55 2022 5 relations: 848041
  119. Sun May 08 12:12:55 2022 6 relations: 795481
  120. Sun May 08 12:12:55 2022 7 relations: 736537
  121. Sun May 08 12:12:55 2022 8 relations: 669550
  122. Sun May 08 12:12:55 2022 9 relations: 601318
  123. Sun May 08 12:12:55 2022 10+ relations: 2926487
  124. Sun May 08 12:12:55 2022 heaviest cycle: 28 relations
  125. Sun May 08 12:13:15 2022 RelProcTime: 4179
  126. Sun May 08 12:13:15 2022
  127. Sun May 08 12:13:15 2022 commencing linear algebra
  128. Sun May 08 12:13:17 2022 read 9758034 cycles
  129. Sun May 08 12:13:35 2022 cycles contain 31762583 unique relations
  130. Sun May 08 12:19:04 2022 read 31762583 relations
  131. Sun May 08 12:19:58 2022 using 20 quadratic characters above 1073741562
  132. Sun May 08 12:22:08 2022 building initial matrix
  133. Sun May 08 12:28:37 2022 memory use: 4313.7 MB
  134. Sun May 08 12:28:49 2022 read 9758034 cycles
  135. Sun May 08 12:28:52 2022 matrix is 9757856 x 9758034 (4220.4 MB) with weight 1285752061 (131.76/col)
  136. Sun May 08 12:28:52 2022 sparse part has weight 989266598 (101.38/col)
  137. Sun May 08 12:30:45 2022 filtering completed in 2 passes
  138. Sun May 08 12:30:49 2022 matrix is 9757616 x 9757794 (4220.4 MB) with weight 1285742187 (131.77/col)
  139. Sun May 08 12:30:49 2022 sparse part has weight 989264581 (101.38/col)
  140. Sun May 08 12:31:55 2022 matrix starts at (0, 0)
  141. Sun May 08 12:31:58 2022 matrix is 9757616 x 9757794 (4220.4 MB) with weight 1285742187 (131.77/col)
  142. Sun May 08 12:31:58 2022 sparse part has weight 989264581 (101.38/col)
  143. Sun May 08 12:31:58 2022 saving the first 48 matrix rows for later
  144. Sun May 08 12:32:01 2022 matrix includes 64 packed rows
  145. Sun May 08 12:32:03 2022 matrix is 9757568 x 9757794 (4091.8 MB) with weight 1084697368 (111.16/col)
  146. Sun May 08 12:32:03 2022 sparse part has weight 975063511 (99.93/col)
  147. Sun May 08 12:32:03 2022 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  148. Sun May 08 12:32:57 2022 commencing Lanczos iteration (8 threads)
  149. Sun May 08 12:32:57 2022 memory use: 3403.9 MB
  150. Sun May 08 12:34:08 2022 linear algebra at 0.0%, ETA 121h28m
  151. Sun May 08 12:34:31 2022 checkpointing every 90000 dimensions
  152. Fri May 13 14:44:55 2022 lanczos halted after 154309 iterations (dim = 9757567)
  153. Fri May 13 14:45:13 2022 recovered 28 nontrivial dependencies
  154. Fri May 13 14:45:20 2022 BLanczosTime: 441125
  155. Fri May 13 14:45:20 2022
  156. Fri May 13 14:45:20 2022 commencing square root phase
  157. Fri May 13 14:45:20 2022 handling dependencies 1 to 64
  158. Fri May 13 14:45:20 2022 reading relations for dependency 1
  159. Fri May 13 14:45:22 2022 read 4879460 cycles
  160. Fri May 13 14:45:30 2022 cycles contain 15879324 unique relations
  161. Fri May 13 14:48:53 2022 read 15879324 relations
  162. Fri May 13 14:50:14 2022 multiplying 15879324 relations
  163. Fri May 13 15:11:37 2022 multiply complete, coefficients have about 896.67 million bits
  164. Fri May 13 15:11:47 2022 initial square root is modulo 110791063
  165. Fri May 13 15:40:51 2022 GCD is 1, no factor found
  166. Fri May 13 15:40:51 2022 reading relations for dependency 2
  167. Fri May 13 15:40:53 2022 read 4879290 cycles
  168. Fri May 13 15:41:01 2022 cycles contain 15880292 unique relations
  169. Fri May 13 15:44:12 2022 read 15880292 relations
  170. Fri May 13 15:45:33 2022 multiplying 15880292 relations
  171. Fri May 13 16:06:58 2022 multiply complete, coefficients have about 896.75 million bits
  172. Fri May 13 16:07:09 2022 initial square root is modulo 110956337
  173. Fri May 13 16:36:11 2022 sqrtTime: 6651
  174. Fri May 13 16:36:11 2022 prp68 factor: 50946330712300824601152529187399316033302540918654677895622017872501
  175. Fri May 13 16:36:11 2022 prp101 factor: 35759588255198720231111613391687558147345270862236703983586607508063044644800430228593348854075825637
  176. Fri May 13 16:36:11 2022 elapsed time 125:32:36
  177.  
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