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904__631_13m1

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Sep 28th, 2020
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  1. Mon Sep 28 11:04:01 2020
  2. Mon Sep 28 11:04:01 2020
  3. Mon Sep 28 11:04:01 2020 Msieve v. 1.54 (SVN 1025)
  4. Mon Sep 28 11:04:01 2020 random seeds: 3236a972 3b42a511
  5. Mon Sep 28 11:04:01 2020 factoring 43154169746223312819648215081612489699034473098368015894746702014870334246937136212978891378232825764980248657991013914051956857391088219227336020737735996633105715334583311715112465391834526885897839558437078271 (212 digits)
  6. Mon Sep 28 11:04:02 2020 searching for 15-digit factors
  7. Mon Sep 28 11:04:03 2020 commencing number field sieve (212-digit input)
  8. Mon Sep 28 11:04:03 2020 R0: 818015730246796578628666762863200162
  9. Mon Sep 28 11:04:03 2020 R1: -904442220513171631
  10. Mon Sep 28 11:04:03 2020 A0: -1
  11. Mon Sep 28 11:04:03 2020 A1: 3
  12. Mon Sep 28 11:04:03 2020 A2: 6
  13. Mon Sep 28 11:04:03 2020 A3: -4
  14. Mon Sep 28 11:04:03 2020 A4: -5
  15. Mon Sep 28 11:04:03 2020 A5: 1
  16. Mon Sep 28 11:04:03 2020 A6: 1
  17. Mon Sep 28 11:04:03 2020 skew 1.00, size 1.236e-10, alpha 3.126, combined = 3.819e-12 rroots = 6
  18. Mon Sep 28 11:04:03 2020
  19. Mon Sep 28 11:04:03 2020 commencing relation filtering
  20. Mon Sep 28 11:04:03 2020 setting target matrix density to 120.0
  21. Mon Sep 28 11:04:03 2020 estimated available RAM is 16007.4 MB
  22. Mon Sep 28 11:04:03 2020 commencing duplicate removal, pass 1
  23. Mon Sep 28 11:12:18 2020 found 2556389 hash collisions in 54221481 relations
  24. Mon Sep 28 11:12:18 2020 commencing duplicate removal, pass 2
  25. Mon Sep 28 11:12:34 2020 found 0 duplicates and 54221481 unique relations
  26. Mon Sep 28 11:12:34 2020 memory use: 189.2 MB
  27. Mon Sep 28 11:12:34 2020 reading ideals above 720000
  28. Mon Sep 28 11:12:34 2020 commencing singleton removal, initial pass
  29. Mon Sep 28 11:20:35 2020 memory use: 1378.0 MB
  30. Mon Sep 28 11:20:35 2020 reading all ideals from disk
  31. Mon Sep 28 11:20:36 2020 memory use: 1932.2 MB
  32. Mon Sep 28 11:20:42 2020 keeping 47931111 ideals with weight <= 200, target excess is 280622
  33. Mon Sep 28 11:20:47 2020 commencing in-memory singleton removal
  34. Mon Sep 28 11:20:52 2020 begin with 54221481 relations and 47931111 unique ideals
  35. Mon Sep 28 11:21:42 2020 reduce to 37572230 relations and 29695496 ideals in 13 passes
  36. Mon Sep 28 11:21:42 2020 max relations containing the same ideal: 166
  37. Mon Sep 28 11:22:00 2020 removing 4414630 relations and 3414630 ideals in 1000000 cliques
  38. Mon Sep 28 11:22:02 2020 commencing in-memory singleton removal
  39. Mon Sep 28 11:22:04 2020 begin with 33157600 relations and 29695496 unique ideals
  40. Mon Sep 28 11:22:26 2020 reduce to 32627049 relations and 25732898 ideals in 8 passes
  41. Mon Sep 28 11:22:26 2020 max relations containing the same ideal: 149
  42. Mon Sep 28 11:22:40 2020 removing 3570277 relations and 2570277 ideals in 1000000 cliques
  43. Mon Sep 28 11:22:42 2020 commencing in-memory singleton removal
  44. Mon Sep 28 11:22:45 2020 begin with 29056772 relations and 25732898 unique ideals
  45. Mon Sep 28 11:23:06 2020 reduce to 28736461 relations and 22832270 ideals in 8 passes
  46. Mon Sep 28 11:23:06 2020 max relations containing the same ideal: 141
  47. Mon Sep 28 11:23:19 2020 removing 3244612 relations and 2244612 ideals in 1000000 cliques
  48. Mon Sep 28 11:23:20 2020 commencing in-memory singleton removal
  49. Mon Sep 28 11:23:22 2020 begin with 25491849 relations and 22832270 unique ideals
  50. Mon Sep 28 11:23:40 2020 reduce to 25206096 relations and 20292620 ideals in 8 passes
  51. Mon Sep 28 11:23:40 2020 max relations containing the same ideal: 129
  52. Mon Sep 28 11:23:51 2020 removing 3106045 relations and 2106045 ideals in 1000000 cliques
  53. Mon Sep 28 11:23:53 2020 commencing in-memory singleton removal
  54. Mon Sep 28 11:23:55 2020 begin with 22100051 relations and 20292620 unique ideals
  55. Mon Sep 28 11:24:07 2020 reduce to 21820102 relations and 17896580 ideals in 7 passes
  56. Mon Sep 28 11:24:07 2020 max relations containing the same ideal: 118
  57. Mon Sep 28 11:24:18 2020 removing 3029258 relations and 2029258 ideals in 1000000 cliques
  58. Mon Sep 28 11:24:19 2020 commencing in-memory singleton removal
  59. Mon Sep 28 11:24:20 2020 begin with 18790844 relations and 17896580 unique ideals
  60. Mon Sep 28 11:24:30 2020 reduce to 18497412 relations and 15562019 ideals in 7 passes
  61. Mon Sep 28 11:24:30 2020 max relations containing the same ideal: 104
  62. Mon Sep 28 11:24:38 2020 removing 2986376 relations and 1986376 ideals in 1000000 cliques
  63. Mon Sep 28 11:24:39 2020 commencing in-memory singleton removal
  64. Mon Sep 28 11:24:41 2020 begin with 15511036 relations and 15562019 unique ideals
  65. Mon Sep 28 11:24:50 2020 reduce to 15189020 relations and 13238469 ideals in 7 passes
  66. Mon Sep 28 11:24:50 2020 max relations containing the same ideal: 89
  67. Mon Sep 28 11:24:57 2020 removing 2962224 relations and 1962224 ideals in 1000000 cliques
  68. Mon Sep 28 11:24:58 2020 commencing in-memory singleton removal
  69. Mon Sep 28 11:24:59 2020 begin with 12226796 relations and 13238469 unique ideals
  70. Mon Sep 28 11:25:06 2020 reduce to 11854172 relations and 10882031 ideals in 7 passes
  71. Mon Sep 28 11:25:06 2020 max relations containing the same ideal: 78
  72. Mon Sep 28 11:25:12 2020 removing 2062855 relations and 1416236 ideals in 646619 cliques
  73. Mon Sep 28 11:25:13 2020 commencing in-memory singleton removal
  74. Mon Sep 28 11:25:13 2020 begin with 9791317 relations and 10882031 unique ideals
  75. Mon Sep 28 11:25:19 2020 reduce to 9547521 relations and 9209871 ideals in 8 passes
  76. Mon Sep 28 11:25:19 2020 max relations containing the same ideal: 70
  77. Mon Sep 28 11:25:24 2020 removing 75229 relations and 63101 ideals in 12128 cliques
  78. Mon Sep 28 11:25:24 2020 commencing in-memory singleton removal
  79. Mon Sep 28 11:25:25 2020 begin with 9472292 relations and 9209871 unique ideals
  80. Mon Sep 28 11:25:29 2020 reduce to 9471796 relations and 9146274 ideals in 5 passes
  81. Mon Sep 28 11:25:29 2020 max relations containing the same ideal: 69
  82. Mon Sep 28 11:25:31 2020 relations with 0 large ideals: 20681
  83. Mon Sep 28 11:25:31 2020 relations with 1 large ideals: 6471
  84. Mon Sep 28 11:25:31 2020 relations with 2 large ideals: 54395
  85. Mon Sep 28 11:25:31 2020 relations with 3 large ideals: 334473
  86. Mon Sep 28 11:25:31 2020 relations with 4 large ideals: 1094860
  87. Mon Sep 28 11:25:31 2020 relations with 5 large ideals: 2117519
  88. Mon Sep 28 11:25:31 2020 relations with 6 large ideals: 2512195
  89. Mon Sep 28 11:25:31 2020 relations with 7+ large ideals: 3331202
  90. Mon Sep 28 11:25:31 2020 commencing 2-way merge
  91. Mon Sep 28 11:25:37 2020 reduce to 6319519 relation sets and 5993997 unique ideals
  92. Mon Sep 28 11:25:37 2020 commencing full merge
  93. Mon Sep 28 11:28:29 2020 memory use: 852.8 MB
  94. Mon Sep 28 11:28:30 2020 found 2818583 cycles, need 2818197
  95. Mon Sep 28 11:28:31 2020 weight of 2818197 cycles is about 338880334 (120.25/cycle)
  96. Mon Sep 28 11:28:31 2020 distribution of cycle lengths:
  97. Mon Sep 28 11:28:31 2020 1 relations: 108107
  98. Mon Sep 28 11:28:31 2020 2 relations: 145253
  99. Mon Sep 28 11:28:31 2020 3 relations: 176020
  100. Mon Sep 28 11:28:31 2020 4 relations: 187498
  101. Mon Sep 28 11:28:31 2020 5 relations: 195704
  102. Mon Sep 28 11:28:31 2020 6 relations: 197536
  103. Mon Sep 28 11:28:31 2020 7 relations: 196101
  104. Mon Sep 28 11:28:31 2020 8 relations: 189331
  105. Mon Sep 28 11:28:31 2020 9 relations: 179976
  106. Mon Sep 28 11:28:31 2020 10+ relations: 1242671
  107. Mon Sep 28 11:28:31 2020 heaviest cycle: 28 relations
  108. Mon Sep 28 11:28:31 2020 commencing cycle optimization
  109. Mon Sep 28 11:28:38 2020 start with 26955255 relations
  110. Mon Sep 28 11:29:54 2020 pruned 1417536 relations
  111. Mon Sep 28 11:29:54 2020 memory use: 669.3 MB
  112. Mon Sep 28 11:29:54 2020 distribution of cycle lengths:
  113. Mon Sep 28 11:29:54 2020 1 relations: 108107
  114. Mon Sep 28 11:29:54 2020 2 relations: 148594
  115. Mon Sep 28 11:29:54 2020 3 relations: 183407
  116. Mon Sep 28 11:29:54 2020 4 relations: 195638
  117. Mon Sep 28 11:29:54 2020 5 relations: 206470
  118. Mon Sep 28 11:29:54 2020 6 relations: 208854
  119. Mon Sep 28 11:29:54 2020 7 relations: 208471
  120. Mon Sep 28 11:29:54 2020 8 relations: 200644
  121. Mon Sep 28 11:29:54 2020 9 relations: 190461
  122. Mon Sep 28 11:29:54 2020 10+ relations: 1167551
  123. Mon Sep 28 11:29:54 2020 heaviest cycle: 28 relations
  124. Mon Sep 28 11:30:00 2020 RelProcTime: 1557
  125. Mon Sep 28 11:30:00 2020
  126. Mon Sep 28 11:30:00 2020 commencing linear algebra
  127. Mon Sep 28 11:30:01 2020 read 2818197 cycles
  128. Mon Sep 28 11:30:09 2020 cycles contain 9308088 unique relations
  129. Mon Sep 28 11:31:10 2020 read 9308088 relations
  130. Mon Sep 28 11:31:26 2020 using 20 quadratic characters above 4294917295
  131. Mon Sep 28 11:32:13 2020 building initial matrix
  132. Mon Sep 28 11:34:02 2020 memory use: 1150.6 MB
  133. Mon Sep 28 11:34:03 2020 read 2818197 cycles
  134. Mon Sep 28 11:34:04 2020 matrix is 2818020 x 2818197 (1301.5 MB) with weight 369266697 (131.03/col)
  135. Mon Sep 28 11:34:04 2020 sparse part has weight 312996986 (111.06/col)
  136. Mon Sep 28 11:34:29 2020 filtering completed in 2 passes
  137. Mon Sep 28 11:34:29 2020 matrix is 2818003 x 2818180 (1301.5 MB) with weight 369266185 (131.03/col)
  138. Mon Sep 28 11:34:29 2020 sparse part has weight 312996850 (111.06/col)
  139. Mon Sep 28 11:34:39 2020 matrix starts at (0, 0)
  140. Mon Sep 28 11:34:39 2020 matrix is 2818003 x 2818180 (1301.5 MB) with weight 369266185 (131.03/col)
  141. Mon Sep 28 11:34:39 2020 sparse part has weight 312996850 (111.06/col)
  142. Mon Sep 28 11:34:39 2020 saving the first 48 matrix rows for later
  143. Mon Sep 28 11:34:40 2020 matrix includes 64 packed rows
  144. Mon Sep 28 11:34:40 2020 matrix is 2817955 x 2818180 (1245.4 MB) with weight 318925740 (113.17/col)
  145. Mon Sep 28 11:34:40 2020 sparse part has weight 298288224 (105.84/col)
  146. Mon Sep 28 11:34:40 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  147. Mon Sep 28 11:34:48 2020 commencing Lanczos iteration (4 threads)
  148. Mon Sep 28 11:34:48 2020 memory use: 1176.3 MB
  149. Mon Sep 28 11:34:58 2020 linear algebra at 0.1%, ETA 4h37m
  150. Mon Sep 28 11:35:01 2020 checkpointing every 610000 dimensions
  151. Mon Sep 28 15:58:07 2020 lanczos halted after 44562 iterations (dim = 2817955)
  152. Mon Sep 28 15:58:09 2020 recovered 34 nontrivial dependencies
  153. Mon Sep 28 15:58:09 2020 BLanczosTime: 16089
  154. Mon Sep 28 15:58:09 2020
  155. Mon Sep 28 15:58:09 2020 commencing square root phase
  156. Mon Sep 28 15:58:09 2020 handling dependencies 1 to 64
  157. Mon Sep 28 15:58:09 2020 reading relations for dependency 1
  158. Mon Sep 28 15:58:10 2020 read 1407751 cycles
  159. Mon Sep 28 15:58:12 2020 cycles contain 4651792 unique relations
  160. Mon Sep 28 15:58:37 2020 read 4651792 relations
  161. Mon Sep 28 15:58:50 2020 multiplying 4651792 relations
  162. Mon Sep 28 16:00:50 2020 multiply complete, coefficients have about 110.12 million bits
  163. Mon Sep 28 16:00:51 2020 initial square root is modulo 80227453
  164. Mon Sep 28 16:03:07 2020 sqrtTime: 298
  165. Mon Sep 28 16:03:07 2020 p62 factor: 18314016840766977383306713368741812755855203103834236679617503
  166. Mon Sep 28 16:03:07 2020 p151 factor: 2356346514335521837159087245967279820530740814575870128366224029002609851940177147911832880246947476275322418660909996776150239145613830879305908460257
  167. Mon Sep 28 16:03:07 2020 elapsed time 04:59:06
  168.  
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