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151__411_13m1

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Dec 11th, 2020
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  1. Fri Dec 11 07:11:43 2020
  2. Fri Dec 11 07:11:43 2020
  3. Fri Dec 11 07:11:43 2020 Msieve v. 1.54 (SVN 1025)
  4. Fri Dec 11 07:11:43 2020 random seeds: df507811 f4cfbcf7
  5. Fri Dec 11 07:11:43 2020 factoring 22862384954845255095828673729944936487711909421878290986995063709322480566664289503532930180987428036550195282004885409401067305278913844291322187924556995587398018270035341801 (176 digits)
  6. Fri Dec 11 07:11:44 2020 searching for 15-digit factors
  7. Fri Dec 11 07:11:44 2020 commencing number field sieve (176-digit input)
  8. Fri Dec 11 07:11:44 2020 R0: 2286633471135243263145287054973142922
  9. Fri Dec 11 07:11:44 2020 R1: -1512161853485017411
  10. Fri Dec 11 07:11:44 2020 A0: -1
  11. Fri Dec 11 07:11:44 2020 A1: 3
  12. Fri Dec 11 07:11:44 2020 A2: 6
  13. Fri Dec 11 07:11:44 2020 A3: -4
  14. Fri Dec 11 07:11:44 2020 A4: -5
  15. Fri Dec 11 07:11:44 2020 A5: 1
  16. Fri Dec 11 07:11:44 2020 A6: 1
  17. Fri Dec 11 07:11:44 2020 skew 1.00, size 9.213e-11, alpha 3.126, combined = 3.100e-12 rroots = 6
  18. Fri Dec 11 07:11:44 2020
  19. Fri Dec 11 07:11:44 2020 commencing relation filtering
  20. Fri Dec 11 07:11:44 2020 setting target matrix density to 112.0
  21. Fri Dec 11 07:11:44 2020 estimated available RAM is 15984.6 MB
  22. Fri Dec 11 07:11:44 2020 commencing duplicate removal, pass 1
  23. Fri Dec 11 07:16:58 2020 skipped 2 relations with b > 2^32
  24. Fri Dec 11 07:16:58 2020 found 2125174 hash collisions in 49253402 relations
  25. Fri Dec 11 07:17:05 2020 added 2438355 free relations
  26. Fri Dec 11 07:17:05 2020 commencing duplicate removal, pass 2
  27. Fri Dec 11 07:17:15 2020 found 0 duplicates and 51691757 unique relations
  28. Fri Dec 11 07:17:15 2020 memory use: 130.6 MB
  29. Fri Dec 11 07:17:15 2020 reading ideals above 720000
  30. Fri Dec 11 07:17:15 2020 commencing singleton removal, initial pass
  31. Fri Dec 11 07:22:26 2020 memory use: 1378.0 MB
  32. Fri Dec 11 07:22:27 2020 reading all ideals from disk
  33. Fri Dec 11 07:22:27 2020 memory use: 1852.9 MB
  34. Fri Dec 11 07:22:31 2020 keeping 47542867 ideals with weight <= 200, target excess is 268369
  35. Fri Dec 11 07:22:34 2020 commencing in-memory singleton removal
  36. Fri Dec 11 07:22:38 2020 begin with 51691757 relations and 47542867 unique ideals
  37. Fri Dec 11 07:23:11 2020 reduce to 34181888 relations and 28218049 ideals in 14 passes
  38. Fri Dec 11 07:23:11 2020 max relations containing the same ideal: 160
  39. Fri Dec 11 07:23:22 2020 removing 4654940 relations and 3654940 ideals in 1000000 cliques
  40. Fri Dec 11 07:23:23 2020 commencing in-memory singleton removal
  41. Fri Dec 11 07:23:25 2020 begin with 29526948 relations and 28218049 unique ideals
  42. Fri Dec 11 07:23:42 2020 reduce to 28875929 relations and 23887976 ideals in 9 passes
  43. Fri Dec 11 07:23:42 2020 max relations containing the same ideal: 142
  44. Fri Dec 11 07:23:51 2020 removing 3748360 relations and 2748360 ideals in 1000000 cliques
  45. Fri Dec 11 07:23:52 2020 commencing in-memory singleton removal
  46. Fri Dec 11 07:23:54 2020 begin with 25127569 relations and 23887976 unique ideals
  47. Fri Dec 11 07:24:06 2020 reduce to 24726456 relations and 20724297 ideals in 8 passes
  48. Fri Dec 11 07:24:06 2020 max relations containing the same ideal: 130
  49. Fri Dec 11 07:24:14 2020 removing 3410197 relations and 2410197 ideals in 1000000 cliques
  50. Fri Dec 11 07:24:15 2020 commencing in-memory singleton removal
  51. Fri Dec 11 07:24:17 2020 begin with 21316259 relations and 20724297 unique ideals
  52. Fri Dec 11 07:24:26 2020 reduce to 20950511 relations and 17934085 ideals in 7 passes
  53. Fri Dec 11 07:24:26 2020 max relations containing the same ideal: 118
  54. Fri Dec 11 07:24:33 2020 removing 3265938 relations and 2265938 ideals in 1000000 cliques
  55. Fri Dec 11 07:24:34 2020 commencing in-memory singleton removal
  56. Fri Dec 11 07:24:35 2020 begin with 17684573 relations and 17934085 unique ideals
  57. Fri Dec 11 07:24:42 2020 reduce to 17308950 relations and 15276127 ideals in 7 passes
  58. Fri Dec 11 07:24:42 2020 max relations containing the same ideal: 102
  59. Fri Dec 11 07:24:48 2020 removing 3188387 relations and 2188387 ideals in 1000000 cliques
  60. Fri Dec 11 07:24:49 2020 commencing in-memory singleton removal
  61. Fri Dec 11 07:24:49 2020 begin with 14120563 relations and 15276127 unique ideals
  62. Fri Dec 11 07:24:56 2020 reduce to 13706992 relations and 12652686 ideals in 8 passes
  63. Fri Dec 11 07:24:56 2020 max relations containing the same ideal: 86
  64. Fri Dec 11 07:25:01 2020 removing 2474095 relations and 1731098 ideals in 742997 cliques
  65. Fri Dec 11 07:25:01 2020 commencing in-memory singleton removal
  66. Fri Dec 11 07:25:02 2020 begin with 11232897 relations and 12652686 unique ideals
  67. Fri Dec 11 07:25:07 2020 reduce to 10923500 relations and 10597246 ideals in 8 passes
  68. Fri Dec 11 07:25:07 2020 max relations containing the same ideal: 75
  69. Fri Dec 11 07:25:11 2020 removing 98772 relations and 83827 ideals in 14945 cliques
  70. Fri Dec 11 07:25:11 2020 commencing in-memory singleton removal
  71. Fri Dec 11 07:25:12 2020 begin with 10824728 relations and 10597246 unique ideals
  72. Fri Dec 11 07:25:15 2020 reduce to 10824085 relations and 10512775 ideals in 5 passes
  73. Fri Dec 11 07:25:15 2020 max relations containing the same ideal: 74
  74. Fri Dec 11 07:25:17 2020 relations with 0 large ideals: 19889
  75. Fri Dec 11 07:25:17 2020 relations with 1 large ideals: 5377
  76. Fri Dec 11 07:25:17 2020 relations with 2 large ideals: 44291
  77. Fri Dec 11 07:25:17 2020 relations with 3 large ideals: 292341
  78. Fri Dec 11 07:25:17 2020 relations with 4 large ideals: 1040759
  79. Fri Dec 11 07:25:17 2020 relations with 5 large ideals: 2198566
  80. Fri Dec 11 07:25:17 2020 relations with 6 large ideals: 2873197
  81. Fri Dec 11 07:25:17 2020 relations with 7+ large ideals: 4349665
  82. Fri Dec 11 07:25:17 2020 commencing 2-way merge
  83. Fri Dec 11 07:25:21 2020 reduce to 7140511 relation sets and 6829201 unique ideals
  84. Fri Dec 11 07:25:21 2020 commencing full merge
  85. Fri Dec 11 07:27:29 2020 memory use: 971.9 MB
  86. Fri Dec 11 07:27:30 2020 found 3253644 cycles, need 3245401
  87. Fri Dec 11 07:27:31 2020 weight of 3245401 cycles is about 364212696 (112.22/cycle)
  88. Fri Dec 11 07:27:31 2020 distribution of cycle lengths:
  89. Fri Dec 11 07:27:31 2020 1 relations: 153036
  90. Fri Dec 11 07:27:31 2020 2 relations: 197456
  91. Fri Dec 11 07:27:31 2020 3 relations: 228692
  92. Fri Dec 11 07:27:31 2020 4 relations: 235631
  93. Fri Dec 11 07:27:31 2020 5 relations: 241063
  94. Fri Dec 11 07:27:31 2020 6 relations: 237507
  95. Fri Dec 11 07:27:31 2020 7 relations: 230622
  96. Fri Dec 11 07:27:31 2020 8 relations: 220069
  97. Fri Dec 11 07:27:31 2020 9 relations: 205366
  98. Fri Dec 11 07:27:31 2020 10+ relations: 1295959
  99. Fri Dec 11 07:27:31 2020 heaviest cycle: 28 relations
  100. Fri Dec 11 07:27:31 2020 commencing cycle optimization
  101. Fri Dec 11 07:27:36 2020 start with 28987795 relations
  102. Fri Dec 11 07:28:25 2020 pruned 1371947 relations
  103. Fri Dec 11 07:28:25 2020 memory use: 746.9 MB
  104. Fri Dec 11 07:28:25 2020 distribution of cycle lengths:
  105. Fri Dec 11 07:28:25 2020 1 relations: 153036
  106. Fri Dec 11 07:28:25 2020 2 relations: 201685
  107. Fri Dec 11 07:28:25 2020 3 relations: 237919
  108. Fri Dec 11 07:28:25 2020 4 relations: 245406
  109. Fri Dec 11 07:28:25 2020 5 relations: 253527
  110. Fri Dec 11 07:28:25 2020 6 relations: 249273
  111. Fri Dec 11 07:28:25 2020 7 relations: 242870
  112. Fri Dec 11 07:28:25 2020 8 relations: 231603
  113. Fri Dec 11 07:28:25 2020 9 relations: 215070
  114. Fri Dec 11 07:28:25 2020 10+ relations: 1215012
  115. Fri Dec 11 07:28:25 2020 heaviest cycle: 28 relations
  116. Fri Dec 11 07:28:30 2020 RelProcTime: 1006
  117. Fri Dec 11 07:28:30 2020
  118. Fri Dec 11 07:28:30 2020 commencing linear algebra
  119. Fri Dec 11 07:28:30 2020 read 3245401 cycles
  120. Fri Dec 11 07:28:35 2020 cycles contain 10654712 unique relations
  121. Fri Dec 11 07:29:23 2020 read 10654712 relations
  122. Fri Dec 11 07:29:36 2020 using 20 quadratic characters above 4294917295
  123. Fri Dec 11 07:30:12 2020 building initial matrix
  124. Fri Dec 11 07:31:45 2020 memory use: 1300.7 MB
  125. Fri Dec 11 07:31:46 2020 read 3245401 cycles
  126. Fri Dec 11 07:31:47 2020 matrix is 3245224 x 3245401 (1419.1 MB) with weight 402975607 (124.17/col)
  127. Fri Dec 11 07:31:47 2020 sparse part has weight 339564432 (104.63/col)
  128. Fri Dec 11 07:32:15 2020 filtering completed in 2 passes
  129. Fri Dec 11 07:32:16 2020 matrix is 3245167 x 3245344 (1419.1 MB) with weight 402973997 (124.17/col)
  130. Fri Dec 11 07:32:16 2020 sparse part has weight 339563968 (104.63/col)
  131. Fri Dec 11 07:32:21 2020 matrix starts at (0, 0)
  132. Fri Dec 11 07:32:22 2020 matrix is 3245167 x 3245344 (1419.1 MB) with weight 402973997 (124.17/col)
  133. Fri Dec 11 07:32:22 2020 sparse part has weight 339563968 (104.63/col)
  134. Fri Dec 11 07:32:22 2020 saving the first 48 matrix rows for later
  135. Fri Dec 11 07:32:22 2020 matrix includes 64 packed rows
  136. Fri Dec 11 07:32:22 2020 matrix is 3245119 x 3245344 (1360.3 MB) with weight 346053244 (106.63/col)
  137. Fri Dec 11 07:32:22 2020 sparse part has weight 324131269 (99.88/col)
  138. Fri Dec 11 07:32:22 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  139. Fri Dec 11 07:32:32 2020 commencing Lanczos iteration (3 threads)
  140. Fri Dec 11 07:32:32 2020 memory use: 1292.1 MB
  141. Fri Dec 11 07:32:44 2020 linear algebra at 0.0%, ETA 7h 9m
  142. Fri Dec 11 07:32:47 2020 checkpointing every 490000 dimensions
  143. Fri Dec 11 13:33:23 2020 lanczos halted after 51320 iterations (dim = 3245114)
  144. Fri Dec 11 13:33:27 2020 recovered 32 nontrivial dependencies
  145. Fri Dec 11 13:33:27 2020 BLanczosTime: 21897
  146. Fri Dec 11 13:33:27 2020
  147. Fri Dec 11 13:33:27 2020 commencing square root phase
  148. Fri Dec 11 13:33:27 2020 handling dependencies 1 to 64
  149. Fri Dec 11 13:33:27 2020 reading relations for dependency 1
  150. Fri Dec 11 13:33:27 2020 read 1621657 cycles
  151. Fri Dec 11 13:33:29 2020 cycles contain 5325588 unique relations
  152. Fri Dec 11 13:33:55 2020 read 5325588 relations
  153. Fri Dec 11 13:34:10 2020 multiplying 5325588 relations
  154. Fri Dec 11 13:36:25 2020 multiply complete, coefficients have about 126.54 million bits
  155. Fri Dec 11 13:36:25 2020 initial square root is modulo 1209326597
  156. Fri Dec 11 13:38:59 2020 sqrtTime: 332
  157. Fri Dec 11 13:38:59 2020 p74 factor: 17187200970890763061632540456280455979711047354574671691042933430984806607
  158. Fri Dec 11 13:38:59 2020 p103 factor: 1330198267511173671606989977463834558788640229397314096751857286309940442636500141010017765194302771143
  159. Fri Dec 11 13:38:59 2020 elapsed time 06:27:16
  160.  
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