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gchilders

700__911_7m1

gchilders
Oct 9th, 2021
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  1. Sat Oct 9 20:21:04 2021
  2. Sat Oct 9 20:21:04 2021
  3. Sat Oct 9 20:21:04 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Oct 9 20:21:04 2021 random seeds: 0f75671a dd8ee562
  5. Sat Oct 9 20:21:04 2021 factoring 3679939889381257947465929222619569721981582238485495358599553391134619172334212813532649653349295893183150376727734687818173212802929256646840215555115659 (154 digits)
  6. Sat Oct 9 20:21:04 2021 no P-1/P+1/ECM available, skipping
  7. Sat Oct 9 20:21:04 2021 commencing number field sieve (154-digit input)
  8. Sat Oct 9 20:21:05 2021 R0: 7006001631888696224340989648243874911
  9. Sat Oct 9 20:21:05 2021 R1: -1
  10. Sat Oct 9 20:21:05 2021 A0: 1
  11. Sat Oct 9 20:21:05 2021 A1: 1
  12. Sat Oct 9 20:21:05 2021 A2: 1
  13. Sat Oct 9 20:21:05 2021 A3: 1
  14. Sat Oct 9 20:21:05 2021 A4: 1
  15. Sat Oct 9 20:21:05 2021 A5: 1
  16. Sat Oct 9 20:21:05 2021 A6: 1
  17. Sat Oct 9 20:21:05 2021 skew 1.00, size 5.776e-11, alpha 2.428, combined = 2.267e-12 rroots = 0
  18. Sat Oct 9 20:21:05 2021
  19. Sat Oct 9 20:21:05 2021 commencing relation filtering
  20. Sat Oct 9 20:21:05 2021 estimated available RAM is 515600.8 MB
  21. Sat Oct 9 20:21:05 2021 commencing duplicate removal, pass 1
  22. Sat Oct 9 20:21:57 2021 error -9 reading relation 10316454
  23. Sat Oct 9 20:22:21 2021 error -15 reading relation 15000458
  24. Sat Oct 9 20:22:58 2021 error -1 reading relation 22315581
  25. Sat Oct 9 20:23:01 2021 error -15 reading relation 22926514
  26. Sat Oct 9 20:23:10 2021 error -9 reading relation 24584962
  27. Sat Oct 9 20:23:11 2021 error -15 reading relation 24770140
  28. Sat Oct 9 20:23:11 2021 error -15 reading relation 24774955
  29. Sat Oct 9 20:23:19 2021 error -15 reading relation 26350204
  30. Sat Oct 9 20:23:20 2021 error -15 reading relation 26597597
  31. Sat Oct 9 20:23:21 2021 error -9 reading relation 26745684
  32. Sat Oct 9 20:23:29 2021 error -9 reading relation 28396464
  33. Sat Oct 9 20:23:35 2021 error -9 reading relation 29616737
  34. Sat Oct 9 20:23:40 2021 error -15 reading relation 30547020
  35. Sat Oct 9 20:23:55 2021 error -15 reading relation 33507410
  36. Sat Oct 9 20:24:24 2021 error -15 reading relation 39114611
  37. Sat Oct 9 20:24:38 2021 error -9 reading relation 41986208
  38. Sat Oct 9 20:24:46 2021 error -1 reading relation 43441154
  39. Sat Oct 9 20:25:03 2021 error -9 reading relation 46895732
  40. Sat Oct 9 20:25:05 2021 error -5 reading relation 47296920
  41. Sat Oct 9 20:25:35 2021 skipped 15 relations with composite factors
  42. Sat Oct 9 20:25:35 2021 found 8978440 hash collisions in 53259714 relations
  43. Sat Oct 9 20:25:41 2021 added 2438532 free relations
  44. Sat Oct 9 20:25:41 2021 commencing duplicate removal, pass 2
  45. Sat Oct 9 20:26:21 2021 found 8296974 duplicates and 47401272 unique relations
  46. Sat Oct 9 20:26:21 2021 memory use: 330.4 MB
  47. Sat Oct 9 20:26:21 2021 reading ideals above 720000
  48. Sat Oct 9 20:26:22 2021 commencing singleton removal, initial pass
  49. Sat Oct 9 20:30:43 2021 memory use: 1378.0 MB
  50. Sat Oct 9 20:30:43 2021 reading all ideals from disk
  51. Sat Oct 9 20:30:44 2021 memory use: 1732.0 MB
  52. Sat Oct 9 20:30:45 2021 keeping 47282008 ideals with weight <= 200, target excess is 232455
  53. Sat Oct 9 20:30:47 2021 commencing in-memory singleton removal
  54. Sat Oct 9 20:30:48 2021 begin with 47401272 relations and 47282008 unique ideals
  55. Sat Oct 9 20:31:05 2021 reduce to 29104899 relations and 26991216 ideals in 17 passes
  56. Sat Oct 9 20:31:05 2021 max relations containing the same ideal: 150
  57. Sat Oct 9 20:31:11 2021 removing 2904263 relations and 2504263 ideals in 400000 cliques
  58. Sat Oct 9 20:31:12 2021 commencing in-memory singleton removal
  59. Sat Oct 9 20:31:13 2021 begin with 26200636 relations and 26991216 unique ideals
  60. Sat Oct 9 20:31:21 2021 reduce to 25856083 relations and 24134934 ideals in 11 passes
  61. Sat Oct 9 20:31:21 2021 max relations containing the same ideal: 139
  62. Sat Oct 9 20:31:27 2021 removing 2219438 relations and 1819438 ideals in 400000 cliques
  63. Sat Oct 9 20:31:28 2021 commencing in-memory singleton removal
  64. Sat Oct 9 20:31:28 2021 begin with 23636645 relations and 24134934 unique ideals
  65. Sat Oct 9 20:31:36 2021 reduce to 23424870 relations and 22099822 ideals in 10 passes
  66. Sat Oct 9 20:31:36 2021 max relations containing the same ideal: 129
  67. Sat Oct 9 20:31:41 2021 removing 2022054 relations and 1622054 ideals in 400000 cliques
  68. Sat Oct 9 20:31:42 2021 commencing in-memory singleton removal
  69. Sat Oct 9 20:31:42 2021 begin with 21402816 relations and 22099822 unique ideals
  70. Sat Oct 9 20:31:48 2021 reduce to 21219659 relations and 20291348 ideals in 9 passes
  71. Sat Oct 9 20:31:48 2021 max relations containing the same ideal: 123
  72. Sat Oct 9 20:31:53 2021 removing 1930437 relations and 1530437 ideals in 400000 cliques
  73. Sat Oct 9 20:31:53 2021 commencing in-memory singleton removal
  74. Sat Oct 9 20:31:54 2021 begin with 19289222 relations and 20291348 unique ideals
  75. Sat Oct 9 20:31:59 2021 reduce to 19110091 relations and 18578415 ideals in 9 passes
  76. Sat Oct 9 20:31:59 2021 max relations containing the same ideal: 115
  77. Sat Oct 9 20:32:04 2021 removing 1352349 relations and 1090321 ideals in 262028 cliques
  78. Sat Oct 9 20:32:04 2021 commencing in-memory singleton removal
  79. Sat Oct 9 20:32:04 2021 begin with 17757742 relations and 18578415 unique ideals
  80. Sat Oct 9 20:32:09 2021 reduce to 17666611 relations and 17395739 ideals in 8 passes
  81. Sat Oct 9 20:32:09 2021 max relations containing the same ideal: 107
  82. Sat Oct 9 20:32:15 2021 relations with 0 large ideals: 17825
  83. Sat Oct 9 20:32:15 2021 relations with 1 large ideals: 2162
  84. Sat Oct 9 20:32:15 2021 relations with 2 large ideals: 21710
  85. Sat Oct 9 20:32:15 2021 relations with 3 large ideals: 179129
  86. Sat Oct 9 20:32:15 2021 relations with 4 large ideals: 839831
  87. Sat Oct 9 20:32:15 2021 relations with 5 large ideals: 2369418
  88. Sat Oct 9 20:32:15 2021 relations with 6 large ideals: 4189724
  89. Sat Oct 9 20:32:15 2021 relations with 7+ large ideals: 10046812
  90. Sat Oct 9 20:32:15 2021 commencing 2-way merge
  91. Sat Oct 9 20:32:21 2021 reduce to 11458245 relation sets and 11187373 unique ideals
  92. Sat Oct 9 20:32:21 2021 commencing full merge
  93. Sat Oct 9 20:34:55 2021 memory use: 1484.4 MB
  94. Sat Oct 9 20:34:55 2021 found 5400700 cycles, need 5389573
  95. Sat Oct 9 20:34:57 2021 weight of 5389573 cycles is about 485528634 (90.09/cycle)
  96. Sat Oct 9 20:34:57 2021 distribution of cycle lengths:
  97. Sat Oct 9 20:34:57 2021 1 relations: 601423
  98. Sat Oct 9 20:34:57 2021 2 relations: 545462
  99. Sat Oct 9 20:34:57 2021 3 relations: 505707
  100. Sat Oct 9 20:34:57 2021 4 relations: 455529
  101. Sat Oct 9 20:34:57 2021 5 relations: 421382
  102. Sat Oct 9 20:34:57 2021 6 relations: 379348
  103. Sat Oct 9 20:34:57 2021 7 relations: 344056
  104. Sat Oct 9 20:34:57 2021 8 relations: 305480
  105. Sat Oct 9 20:34:57 2021 9 relations: 273311
  106. Sat Oct 9 20:34:57 2021 10+ relations: 1557875
  107. Sat Oct 9 20:34:57 2021 heaviest cycle: 28 relations
  108. Sat Oct 9 20:34:57 2021 commencing cycle optimization
  109. Sat Oct 9 20:35:03 2021 start with 39009999 relations
  110. Sat Oct 9 20:35:49 2021 pruned 1363289 relations
  111. Sat Oct 9 20:35:49 2021 memory use: 1122.4 MB
  112. Sat Oct 9 20:35:49 2021 distribution of cycle lengths:
  113. Sat Oct 9 20:35:49 2021 1 relations: 601423
  114. Sat Oct 9 20:35:49 2021 2 relations: 556258
  115. Sat Oct 9 20:35:49 2021 3 relations: 523711
  116. Sat Oct 9 20:35:49 2021 4 relations: 469588
  117. Sat Oct 9 20:35:49 2021 5 relations: 436818
  118. Sat Oct 9 20:35:49 2021 6 relations: 390369
  119. Sat Oct 9 20:35:49 2021 7 relations: 353397
  120. Sat Oct 9 20:35:49 2021 8 relations: 311369
  121. Sat Oct 9 20:35:49 2021 9 relations: 278378
  122. Sat Oct 9 20:35:49 2021 10+ relations: 1468262
  123. Sat Oct 9 20:35:49 2021 heaviest cycle: 28 relations
  124. Sat Oct 9 20:35:54 2021 RelProcTime: 889
  125. Sat Oct 9 20:35:54 2021
  126. Sat Oct 9 20:35:54 2021 commencing linear algebra
  127. Sat Oct 9 20:35:54 2021 using VBITS=384
  128. Sat Oct 9 20:35:54 2021 read 5389573 cycles
  129. Sat Oct 9 20:36:00 2021 cycles contain 17449768 unique relations
  130. Sat Oct 9 20:37:26 2021 read 17449768 relations
  131. Sat Oct 9 20:37:43 2021 using 20 quadratic characters above 4294917295
  132. Sat Oct 9 20:38:30 2021 building initial matrix
  133. Sat Oct 9 20:40:13 2021 memory use: 2134.8 MB
  134. Sat Oct 9 20:40:15 2021 read 5389573 cycles
  135. Sat Oct 9 20:40:15 2021 matrix is 5389396 x 5389573 (1984.4 MB) with weight 566800788 (105.17/col)
  136. Sat Oct 9 20:40:15 2021 sparse part has weight 460912473 (85.52/col)
  137. Sat Oct 9 20:40:40 2021 filtering completed in 2 passes
  138. Sat Oct 9 20:40:41 2021 matrix is 5388779 x 5388931 (1984.3 MB) with weight 566781453 (105.18/col)
  139. Sat Oct 9 20:40:41 2021 sparse part has weight 460906254 (85.53/col)
  140. Sat Oct 9 20:40:48 2021 matrix starts at (0, 0)
  141. Sat Oct 9 20:40:48 2021 matrix is 5388779 x 5388931 (1984.3 MB) with weight 566781453 (105.18/col)
  142. Sat Oct 9 20:40:48 2021 sparse part has weight 460906254 (85.53/col)
  143. Sat Oct 9 20:40:48 2021 saving the first 368 matrix rows for later
  144. Sat Oct 9 20:40:49 2021 matrix includes 384 packed rows
  145. Sat Oct 9 20:40:51 2021 matrix is 5388411 x 5388931 (1870.6 MB) with weight 404459155 (75.05/col)
  146. Sat Oct 9 20:40:51 2021 sparse part has weight 382578456 (70.99/col)
  147. Sat Oct 9 20:40:51 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  148. Sat Oct 9 20:40:51 2021 selected card has CUDA arch 7.0
  149. Sat Oct 9 20:41:06 2021 commencing Lanczos iteration
  150. Sat Oct 9 20:41:06 2021 memory use: 4933.5 MB
  151. Sat Oct 9 20:41:08 2021 linear algebra at 0.0%, ETA 0h39m
  152. Sat Oct 9 20:41:09 2021 checkpointing every 7590000 dimensions
  153. Sat Oct 9 21:35:56 2021 lanczos halted after 14062 iterations (dim = 5388409)
  154. Sat Oct 9 21:36:17 2021 recovered 40 nontrivial dependencies
  155. Sat Oct 9 21:36:17 2021 BLanczosTime: 3623
  156. Sat Oct 9 21:36:17 2021
  157. Sat Oct 9 21:36:17 2021 commencing square root phase
  158. Sat Oct 9 21:36:17 2021 reading relations for dependency 1
  159. Sat Oct 9 21:36:18 2021 read 2696384 cycles
  160. Sat Oct 9 21:36:20 2021 cycles contain 8726258 unique relations
  161. Sat Oct 9 21:37:19 2021 read 8726258 relations
  162. Sat Oct 9 21:37:40 2021 multiplying 8726258 relations
  163. Sat Oct 9 21:40:58 2021 multiply complete, coefficients have about 209.35 million bits
  164. Sat Oct 9 21:40:58 2021 initial square root is modulo 32591809
  165. Sat Oct 9 21:44:37 2021 GCD is 1, no factor found
  166. Sat Oct 9 21:44:37 2021 reading relations for dependency 2
  167. Sat Oct 9 21:44:38 2021 read 2693797 cycles
  168. Sat Oct 9 21:44:40 2021 cycles contain 8721156 unique relations
  169. Sat Oct 9 21:45:39 2021 read 8721156 relations
  170. Sat Oct 9 21:45:59 2021 multiplying 8721156 relations
  171. Sat Oct 9 21:49:17 2021 multiply complete, coefficients have about 209.23 million bits
  172. Sat Oct 9 21:49:17 2021 initial square root is modulo 32261507
  173. Sat Oct 9 21:52:56 2021 sqrtTime: 999
  174. Sat Oct 9 21:52:56 2021 p54 factor: 217802329398654603480857343479983990050186873720441841
  175. Sat Oct 9 21:52:56 2021 p101 factor: 16895778385573085927216373403918158890577330530584114465253602532237727017324195981689228355141757499
  176. Sat Oct 9 21:52:56 2021 elapsed time 01:31:52
  177.  
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