gchilders

897__909_5m1

Sep 30th, 2021
201
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  1. Thu Sep 30 02:44:15 2021
  2. Thu Sep 30 02:44:15 2021
  3. Thu Sep 30 02:44:15 2021 Msieve v. 1.54 (SVN unknown)
  4. Thu Sep 30 02:44:15 2021 random seeds: 2ab776b5 bfe9d6b2
  5. Thu Sep 30 02:44:15 2021 factoring 63407486938098083528833534399645853139242781275646406953058159332286959205405224344419854671624379582450458211740775880036159262271240586726278579301974857611 (158 digits)
  6. Thu Sep 30 02:44:16 2021 no P-1/P+1/ECM available, skipping
  7. Thu Sep 30 02:44:16 2021 commencing number field sieve (158-digit input)
  8. Thu Sep 30 02:44:16 2021 R0: 8979451204847333756522176358154797473374023718676909
  9. Thu Sep 30 02:44:16 2021 R1: -1
  10. Thu Sep 30 02:44:16 2021 A0: 1
  11. Thu Sep 30 02:44:16 2021 A1: 1
  12. Thu Sep 30 02:44:16 2021 A2: 1
  13. Thu Sep 30 02:44:16 2021 A3: 1
  14. Thu Sep 30 02:44:16 2021 A4: 1
  15. Thu Sep 30 02:44:16 2021 skew 1.00, size 3.386e-21, alpha 1.694, combined = 1.146e-12 rroots = 0
  16. Thu Sep 30 02:44:16 2021
  17. Thu Sep 30 02:44:16 2021 commencing relation filtering
  18. Thu Sep 30 02:44:16 2021 setting target matrix density to 100.0
  19. Thu Sep 30 02:44:16 2021 estimated available RAM is 515600.8 MB
  20. Thu Sep 30 02:44:16 2021 commencing duplicate removal, pass 1
  21. Thu Sep 30 02:54:02 2021 skipped 81 relations with b > 2^32
  22. Thu Sep 30 02:54:02 2021 skipped 28 relations with composite factors
  23. Thu Sep 30 02:54:02 2021 found 21819840 hash collisions in 116607730 relations
  24. Thu Sep 30 02:54:10 2021 added 3657698 free relations
  25. Thu Sep 30 02:54:10 2021 commencing duplicate removal, pass 2
  26. Thu Sep 30 02:55:46 2021 found 21474229 duplicates and 98791199 unique relations
  27. Thu Sep 30 02:55:46 2021 memory use: 660.8 MB
  28. Thu Sep 30 02:55:47 2021 reading ideals above 720000
  29. Thu Sep 30 02:55:47 2021 commencing singleton removal, initial pass
  30. Thu Sep 30 03:04:08 2021 memory use: 2756.0 MB
  31. Thu Sep 30 03:04:08 2021 reading all ideals from disk
  32. Thu Sep 30 03:04:09 2021 memory use: 3675.1 MB
  33. Thu Sep 30 03:04:12 2021 keeping 88786427 ideals with weight <= 200, target excess is 490476
  34. Thu Sep 30 03:04:16 2021 commencing in-memory singleton removal
  35. Thu Sep 30 03:04:19 2021 begin with 98791199 relations and 88786427 unique ideals
  36. Thu Sep 30 03:04:48 2021 reduce to 66407302 relations and 53211287 ideals in 13 passes
  37. Thu Sep 30 03:04:48 2021 max relations containing the same ideal: 164
  38. Thu Sep 30 03:05:03 2021 removing 8437275 relations and 6437275 ideals in 2000000 cliques
  39. Thu Sep 30 03:05:05 2021 commencing in-memory singleton removal
  40. Thu Sep 30 03:05:06 2021 begin with 57970027 relations and 53211287 unique ideals
  41. Thu Sep 30 03:05:21 2021 reduce to 57018036 relations and 45784818 ideals in 8 passes
  42. Thu Sep 30 03:05:21 2021 max relations containing the same ideal: 150
  43. Thu Sep 30 03:05:33 2021 removing 6790813 relations and 4790813 ideals in 2000000 cliques
  44. Thu Sep 30 03:05:35 2021 commencing in-memory singleton removal
  45. Thu Sep 30 03:05:37 2021 begin with 50227223 relations and 45784818 unique ideals
  46. Thu Sep 30 03:05:49 2021 reduce to 49532739 relations and 40274303 ideals in 8 passes
  47. Thu Sep 30 03:05:49 2021 max relations containing the same ideal: 136
  48. Thu Sep 30 03:06:00 2021 removing 6367033 relations and 4367033 ideals in 2000000 cliques
  49. Thu Sep 30 03:06:02 2021 commencing in-memory singleton removal
  50. Thu Sep 30 03:06:03 2021 begin with 43165706 relations and 40274303 unique ideals
  51. Thu Sep 30 03:06:12 2021 reduce to 42499840 relations and 35215637 ideals in 7 passes
  52. Thu Sep 30 03:06:12 2021 max relations containing the same ideal: 123
  53. Thu Sep 30 03:06:22 2021 removing 6186726 relations and 4186726 ideals in 2000000 cliques
  54. Thu Sep 30 03:06:24 2021 commencing in-memory singleton removal
  55. Thu Sep 30 03:06:25 2021 begin with 36313114 relations and 35215637 unique ideals
  56. Thu Sep 30 03:06:33 2021 reduce to 35603860 relations and 30288632 ideals in 7 passes
  57. Thu Sep 30 03:06:33 2021 max relations containing the same ideal: 109
  58. Thu Sep 30 03:06:41 2021 removing 6121941 relations and 4121941 ideals in 2000000 cliques
  59. Thu Sep 30 03:06:43 2021 commencing in-memory singleton removal
  60. Thu Sep 30 03:06:43 2021 begin with 29481919 relations and 30288632 unique ideals
  61. Thu Sep 30 03:06:50 2021 reduce to 28675082 relations and 25318208 ideals in 7 passes
  62. Thu Sep 30 03:06:50 2021 max relations containing the same ideal: 94
  63. Thu Sep 30 03:06:57 2021 removing 6121169 relations and 4121169 ideals in 2000000 cliques
  64. Thu Sep 30 03:06:58 2021 commencing in-memory singleton removal
  65. Thu Sep 30 03:06:59 2021 begin with 22553913 relations and 25318208 unique ideals
  66. Thu Sep 30 03:07:04 2021 reduce to 21565752 relations and 20145238 ideals in 9 passes
  67. Thu Sep 30 03:07:04 2021 max relations containing the same ideal: 76
  68. Thu Sep 30 03:07:10 2021 removing 3183753 relations and 2332192 ideals in 851561 cliques
  69. Thu Sep 30 03:07:11 2021 commencing in-memory singleton removal
  70. Thu Sep 30 03:07:11 2021 begin with 18381999 relations and 20145238 unique ideals
  71. Thu Sep 30 03:07:16 2021 reduce to 18009250 relations and 17426418 ideals in 8 passes
  72. Thu Sep 30 03:07:16 2021 max relations containing the same ideal: 66
  73. Thu Sep 30 03:07:21 2021 removing 103741 relations and 89862 ideals in 13879 cliques
  74. Thu Sep 30 03:07:21 2021 commencing in-memory singleton removal
  75. Thu Sep 30 03:07:21 2021 begin with 17905509 relations and 17426418 unique ideals
  76. Thu Sep 30 03:07:23 2021 reduce to 17905176 relations and 17336223 ideals in 4 passes
  77. Thu Sep 30 03:07:23 2021 max relations containing the same ideal: 66
  78. Thu Sep 30 03:07:26 2021 relations with 0 large ideals: 39048
  79. Thu Sep 30 03:07:26 2021 relations with 1 large ideals: 8195
  80. Thu Sep 30 03:07:26 2021 relations with 2 large ideals: 97790
  81. Thu Sep 30 03:07:26 2021 relations with 3 large ideals: 610483
  82. Thu Sep 30 03:07:26 2021 relations with 4 large ideals: 2079646
  83. Thu Sep 30 03:07:26 2021 relations with 5 large ideals: 4739336
  84. Thu Sep 30 03:07:26 2021 relations with 6 large ideals: 4804919
  85. Thu Sep 30 03:07:26 2021 relations with 7+ large ideals: 5525759
  86. Thu Sep 30 03:07:26 2021 commencing 2-way merge
  87. Thu Sep 30 03:07:31 2021 reduce to 11689447 relation sets and 11120494 unique ideals
  88. Thu Sep 30 03:07:31 2021 commencing full merge
  89. Thu Sep 30 03:10:03 2021 memory use: 1407.5 MB
  90. Thu Sep 30 03:10:04 2021 found 5442197 cycles, need 5398694
  91. Thu Sep 30 03:10:05 2021 weight of 5398694 cycles is about 539922594 (100.01/cycle)
  92. Thu Sep 30 03:10:05 2021 distribution of cycle lengths:
  93. Thu Sep 30 03:10:05 2021 1 relations: 313013
  94. Thu Sep 30 03:10:05 2021 2 relations: 381726
  95. Thu Sep 30 03:10:05 2021 3 relations: 414196
  96. Thu Sep 30 03:10:05 2021 4 relations: 417390
  97. Thu Sep 30 03:10:05 2021 5 relations: 415605
  98. Thu Sep 30 03:10:05 2021 6 relations: 408035
  99. Thu Sep 30 03:10:05 2021 7 relations: 389232
  100. Thu Sep 30 03:10:05 2021 8 relations: 367663
  101. Thu Sep 30 03:10:05 2021 9 relations: 340881
  102. Thu Sep 30 03:10:05 2021 10+ relations: 1950953
  103. Thu Sep 30 03:10:05 2021 heaviest cycle: 28 relations
  104. Thu Sep 30 03:10:06 2021 commencing cycle optimization
  105. Thu Sep 30 03:10:12 2021 start with 44844412 relations
  106. Thu Sep 30 03:11:12 2021 pruned 1943897 relations
  107. Thu Sep 30 03:11:12 2021 memory use: 1200.2 MB
  108. Thu Sep 30 03:11:12 2021 distribution of cycle lengths:
  109. Thu Sep 30 03:11:12 2021 1 relations: 313013
  110. Thu Sep 30 03:11:12 2021 2 relations: 389467
  111. Thu Sep 30 03:11:12 2021 3 relations: 430794
  112. Thu Sep 30 03:11:12 2021 4 relations: 434124
  113. Thu Sep 30 03:11:12 2021 5 relations: 436296
  114. Thu Sep 30 03:11:12 2021 6 relations: 426539
  115. Thu Sep 30 03:11:12 2021 7 relations: 409110
  116. Thu Sep 30 03:11:12 2021 8 relations: 383522
  117. Thu Sep 30 03:11:12 2021 9 relations: 354945
  118. Thu Sep 30 03:11:12 2021 10+ relations: 1820884
  119. Thu Sep 30 03:11:12 2021 heaviest cycle: 28 relations
  120. Thu Sep 30 03:11:18 2021 RelProcTime: 1622
  121. Thu Sep 30 03:11:19 2021
  122. Thu Sep 30 03:11:19 2021 commencing linear algebra
  123. Thu Sep 30 03:11:19 2021 using VBITS=384
  124. Thu Sep 30 03:11:19 2021 read 5398694 cycles
  125. Thu Sep 30 03:11:25 2021 cycles contain 17571212 unique relations
  126. Thu Sep 30 03:13:24 2021 read 17571212 relations
  127. Thu Sep 30 03:13:42 2021 using 20 quadratic characters above 4294917295
  128. Thu Sep 30 03:14:30 2021 building initial matrix
  129. Thu Sep 30 03:16:22 2021 memory use: 2193.8 MB
  130. Thu Sep 30 03:16:23 2021 read 5398694 cycles
  131. Thu Sep 30 03:16:24 2021 matrix is 5398517 x 5398694 (2171.5 MB) with weight 625293695 (115.82/col)
  132. Thu Sep 30 03:16:24 2021 sparse part has weight 509849163 (94.44/col)
  133. Thu Sep 30 03:16:57 2021 filtering completed in 2 passes
  134. Thu Sep 30 03:16:58 2021 matrix is 5398088 x 5398234 (2171.4 MB) with weight 625277829 (115.83/col)
  135. Thu Sep 30 03:16:58 2021 sparse part has weight 509842927 (94.45/col)
  136. Thu Sep 30 03:17:07 2021 matrix starts at (0, 0)
  137. Thu Sep 30 03:17:07 2021 matrix is 5398088 x 5398234 (2171.4 MB) with weight 625277829 (115.83/col)
  138. Thu Sep 30 03:17:07 2021 sparse part has weight 509842927 (94.45/col)
  139. Thu Sep 30 03:17:07 2021 saving the first 368 matrix rows for later
  140. Thu Sep 30 03:17:08 2021 matrix includes 384 packed rows
  141. Thu Sep 30 03:17:10 2021 matrix is 5397720 x 5398234 (2025.4 MB) with weight 447470816 (82.89/col)
  142. Thu Sep 30 03:17:10 2021 sparse part has weight 422990346 (78.36/col)
  143. Thu Sep 30 03:17:10 2021 using GPU 0 (Tesla V100-PCIE-32GB)
  144. Thu Sep 30 03:17:10 2021 selected card has CUDA arch 7.0
  145. Thu Sep 30 03:17:27 2021 commencing Lanczos iteration
  146. Thu Sep 30 03:17:27 2021 memory use: 5245.3 MB
  147. Thu Sep 30 03:17:29 2021 linear algebra at 0.0%, ETA 1h18m
  148. Thu Sep 30 03:17:30 2021 checkpointing every 5060000 dimensions
  149. Thu Sep 30 04:17:46 2021 lanczos halted after 14086 iterations (dim = 5397718)
  150. Thu Sep 30 04:18:13 2021 recovered 37 nontrivial dependencies
  151. Thu Sep 30 04:18:13 2021 BLanczosTime: 4014
  152. Thu Sep 30 04:18:13 2021
  153. Thu Sep 30 04:18:13 2021 commencing square root phase
  154. Thu Sep 30 04:18:13 2021 handling dependencies 1 to 64
  155. Thu Sep 30 04:18:13 2021 reading relations for dependency 1
  156. Thu Sep 30 04:18:14 2021 read 2698136 cycles
  157. Thu Sep 30 04:18:17 2021 cycles contain 8783098 unique relations
  158. Thu Sep 30 04:19:50 2021 read 8783098 relations
  159. Thu Sep 30 04:20:10 2021 multiplying 8783098 relations
  160. Thu Sep 30 04:21:48 2021 multiply complete, coefficients have about 219.30 million bits
  161. Thu Sep 30 04:21:48 2021 initial square root is modulo 74163013
  162. Thu Sep 30 04:23:57 2021 sqrtTime: 344
  163. Thu Sep 30 04:23:57 2021 p72 factor: 140307213156261471887961510764522394098707144301545414140415897461618091
  164. Thu Sep 30 04:23:57 2021 p87 factor: 451918939245700539346142622476661748522904371677298843165240793792767818975596784354721
  165. Thu Sep 30 04:23:57 2021 elapsed time 01:39:42
  166.  
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