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Oct 28th, 2022
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  1. Thu Oct 27 19:57:56 2022
  2. Thu Oct 27 19:57:56 2022
  3. Thu Oct 27 19:57:56 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 27 19:57:56 2022 random seeds: d536fb50 5ff1fe23
  5. Thu Oct 27 19:57:56 2022 factoring 211028326120076553875451583947025634815968741322916634137794274118734859104602983008445687111886643981649606403079501750601030073068975060585346842192563 (153 digits)
  6. Thu Oct 27 19:57:57 2022 searching for 15-digit factors
  7. Thu Oct 27 19:57:57 2022 commencing number field sieve (153-digit input)
  8. Thu Oct 27 19:57:57 2022 R0: -378125210641636195733235779486
  9. Thu Oct 27 19:57:57 2022 R1: 725102420167703
  10. Thu Oct 27 19:57:57 2022 A0: -260445154283515506490989271777110375
  11. Thu Oct 27 19:57:57 2022 A1: 418010179814280137726027684190
  12. Thu Oct 27 19:57:57 2022 A2: 7680388807161411029280932
  13. Thu Oct 27 19:57:57 2022 A3: -537843398129350570
  14. Thu Oct 27 19:57:57 2022 A4: -2050757962917
  15. Thu Oct 27 19:57:57 2022 A5: 27300
  16. Thu Oct 27 19:57:57 2022 skew 1893152.48, size 7.410e-15, alpha -6.547, combined = 3.639e-12 rroots = 5
  17. Thu Oct 27 19:57:57 2022
  18. Thu Oct 27 19:57:57 2022 commencing relation filtering
  19. Thu Oct 27 19:57:57 2022 setting target matrix density to 120.0
  20. Thu Oct 27 19:57:57 2022 estimated available RAM is 15954.6 MB
  21. Thu Oct 27 19:57:57 2022 commencing duplicate removal, pass 1
  22. Thu Oct 27 19:58:09 2022 error -15 reading relation 1890201
  23. Thu Oct 27 20:03:20 2022 found 2175090 hash collisions in 49801712 relations
  24. Thu Oct 27 20:03:45 2022 added 121650 free relations
  25. Thu Oct 27 20:03:45 2022 commencing duplicate removal, pass 2
  26. Thu Oct 27 20:03:55 2022 found 0 duplicates and 49923362 unique relations
  27. Thu Oct 27 20:03:55 2022 memory use: 130.6 MB
  28. Thu Oct 27 20:03:55 2022 reading ideals above 720000
  29. Thu Oct 27 20:03:55 2022 commencing singleton removal, initial pass
  30. Thu Oct 27 20:08:46 2022 memory use: 1378.0 MB
  31. Thu Oct 27 20:08:46 2022 reading all ideals from disk
  32. Thu Oct 27 20:08:46 2022 memory use: 1777.7 MB
  33. Thu Oct 27 20:08:50 2022 keeping 46417980 ideals with weight <= 200, target excess is 269038
  34. Thu Oct 27 20:08:54 2022 commencing in-memory singleton removal
  35. Thu Oct 27 20:08:58 2022 begin with 49923362 relations and 46417980 unique ideals
  36. Thu Oct 27 20:09:26 2022 reduce to 31413645 relations and 25942777 ideals in 13 passes
  37. Thu Oct 27 20:09:26 2022 max relations containing the same ideal: 154
  38. Thu Oct 27 20:09:38 2022 removing 4604705 relations and 3604705 ideals in 1000000 cliques
  39. Thu Oct 27 20:09:39 2022 commencing in-memory singleton removal
  40. Thu Oct 27 20:09:41 2022 begin with 26808940 relations and 25942777 unique ideals
  41. Thu Oct 27 20:09:54 2022 reduce to 26287552 relations and 21796445 ideals in 8 passes
  42. Thu Oct 27 20:09:54 2022 max relations containing the same ideal: 138
  43. Thu Oct 27 20:10:04 2022 removing 3623805 relations and 2623805 ideals in 1000000 cliques
  44. Thu Oct 27 20:10:05 2022 commencing in-memory singleton removal
  45. Thu Oct 27 20:10:07 2022 begin with 22663747 relations and 21796445 unique ideals
  46. Thu Oct 27 20:10:18 2022 reduce to 22284383 relations and 18779282 ideals in 8 passes
  47. Thu Oct 27 20:10:18 2022 max relations containing the same ideal: 122
  48. Thu Oct 27 20:10:26 2022 removing 3358300 relations and 2358300 ideals in 1000000 cliques
  49. Thu Oct 27 20:10:27 2022 commencing in-memory singleton removal
  50. Thu Oct 27 20:10:29 2022 begin with 18926083 relations and 18779282 unique ideals
  51. Thu Oct 27 20:10:36 2022 reduce to 18561198 relations and 16041342 ideals in 7 passes
  52. Thu Oct 27 20:10:36 2022 max relations containing the same ideal: 114
  53. Thu Oct 27 20:10:44 2022 removing 3234672 relations and 2234672 ideals in 1000000 cliques
  54. Thu Oct 27 20:10:45 2022 commencing in-memory singleton removal
  55. Thu Oct 27 20:10:46 2022 begin with 15326526 relations and 16041342 unique ideals
  56. Thu Oct 27 20:10:53 2022 reduce to 14939335 relations and 13401114 ideals in 8 passes
  57. Thu Oct 27 20:10:53 2022 max relations containing the same ideal: 93
  58. Thu Oct 27 20:10:58 2022 removing 3167514 relations and 2167514 ideals in 1000000 cliques
  59. Thu Oct 27 20:10:59 2022 commencing in-memory singleton removal
  60. Thu Oct 27 20:11:00 2022 begin with 11771821 relations and 13401114 unique ideals
  61. Thu Oct 27 20:11:05 2022 reduce to 11325288 relations and 10760497 ideals in 8 passes
  62. Thu Oct 27 20:11:05 2022 max relations containing the same ideal: 77
  63. Thu Oct 27 20:11:10 2022 removing 1067784 relations and 815078 ideals in 252706 cliques
  64. Thu Oct 27 20:11:10 2022 commencing in-memory singleton removal
  65. Thu Oct 27 20:11:11 2022 begin with 10257504 relations and 10760497 unique ideals
  66. Thu Oct 27 20:11:15 2022 reduce to 10191566 relations and 9878212 ideals in 7 passes
  67. Thu Oct 27 20:11:15 2022 max relations containing the same ideal: 76
  68. Thu Oct 27 20:11:20 2022 relations with 0 large ideals: 889
  69. Thu Oct 27 20:11:20 2022 relations with 1 large ideals: 3530
  70. Thu Oct 27 20:11:20 2022 relations with 2 large ideals: 49879
  71. Thu Oct 27 20:11:20 2022 relations with 3 large ideals: 324627
  72. Thu Oct 27 20:11:20 2022 relations with 4 large ideals: 1128147
  73. Thu Oct 27 20:11:20 2022 relations with 5 large ideals: 2280819
  74. Thu Oct 27 20:11:20 2022 relations with 6 large ideals: 2842804
  75. Thu Oct 27 20:11:20 2022 relations with 7+ large ideals: 3560871
  76. Thu Oct 27 20:11:20 2022 commencing 2-way merge
  77. Thu Oct 27 20:11:25 2022 reduce to 6605340 relation sets and 6291986 unique ideals
  78. Thu Oct 27 20:11:25 2022 commencing full merge
  79. Thu Oct 27 20:13:20 2022 memory use: 830.4 MB
  80. Thu Oct 27 20:13:20 2022 found 2995106 cycles, need 2970186
  81. Thu Oct 27 20:13:21 2022 weight of 2970186 cycles is about 357105170 (120.23/cycle)
  82. Thu Oct 27 20:13:21 2022 distribution of cycle lengths:
  83. Thu Oct 27 20:13:21 2022 1 relations: 96319
  84. Thu Oct 27 20:13:21 2022 2 relations: 170712
  85. Thu Oct 27 20:13:21 2022 3 relations: 208882
  86. Thu Oct 27 20:13:21 2022 4 relations: 219118
  87. Thu Oct 27 20:13:21 2022 5 relations: 227717
  88. Thu Oct 27 20:13:21 2022 6 relations: 226565
  89. Thu Oct 27 20:13:21 2022 7 relations: 221072
  90. Thu Oct 27 20:13:21 2022 8 relations: 212483
  91. Thu Oct 27 20:13:21 2022 9 relations: 199206
  92. Thu Oct 27 20:13:21 2022 10+ relations: 1188112
  93. Thu Oct 27 20:13:21 2022 heaviest cycle: 28 relations
  94. Thu Oct 27 20:13:22 2022 commencing cycle optimization
  95. Thu Oct 27 20:13:27 2022 start with 26285124 relations
  96. Thu Oct 27 20:14:12 2022 pruned 1260562 relations
  97. Thu Oct 27 20:14:12 2022 memory use: 692.4 MB
  98. Thu Oct 27 20:14:12 2022 distribution of cycle lengths:
  99. Thu Oct 27 20:14:12 2022 1 relations: 96319
  100. Thu Oct 27 20:14:12 2022 2 relations: 175638
  101. Thu Oct 27 20:14:12 2022 3 relations: 218758
  102. Thu Oct 27 20:14:12 2022 4 relations: 229257
  103. Thu Oct 27 20:14:12 2022 5 relations: 240450
  104. Thu Oct 27 20:14:12 2022 6 relations: 238534
  105. Thu Oct 27 20:14:12 2022 7 relations: 233634
  106. Thu Oct 27 20:14:12 2022 8 relations: 223405
  107. Thu Oct 27 20:14:12 2022 9 relations: 208978
  108. Thu Oct 27 20:14:12 2022 10+ relations: 1105213
  109. Thu Oct 27 20:14:12 2022 heaviest cycle: 28 relations
  110. Thu Oct 27 20:14:17 2022 RelProcTime: 980
  111. Thu Oct 27 20:14:17 2022 elapsed time 00:16:21
  112. Thu Oct 27 21:44:08 2022
  113. Thu Oct 27 21:44:08 2022
  114. Thu Oct 27 21:44:08 2022 Msieve v. 1.54 (SVN Unversioned directory)
  115. Thu Oct 27 21:44:08 2022 random seeds: ce5a7985 68b528ba
  116. Thu Oct 27 21:44:08 2022 factoring 211028326120076553875451583947025634815968741322916634137794274118734859104602983008445687111886643981649606403079501750601030073068975060585346842192563 (153 digits)
  117. Thu Oct 27 21:44:09 2022 searching for 15-digit factors
  118. Thu Oct 27 21:44:10 2022 commencing number field sieve (153-digit input)
  119. Thu Oct 27 21:44:10 2022 R0: -378125210641636195733235779486
  120. Thu Oct 27 21:44:10 2022 R1: 725102420167703
  121. Thu Oct 27 21:44:10 2022 A0: -260445154283515506490989271777110375
  122. Thu Oct 27 21:44:10 2022 A1: 418010179814280137726027684190
  123. Thu Oct 27 21:44:10 2022 A2: 7680388807161411029280932
  124. Thu Oct 27 21:44:10 2022 A3: -537843398129350570
  125. Thu Oct 27 21:44:10 2022 A4: -2050757962917
  126. Thu Oct 27 21:44:10 2022 A5: 27300
  127. Thu Oct 27 21:44:10 2022 skew 1893152.48, size 7.410e-15, alpha -6.547, combined = 3.639e-12 rroots = 5
  128. Thu Oct 27 21:44:10 2022
  129. Thu Oct 27 21:44:10 2022 commencing linear algebra
  130. Thu Oct 27 21:44:10 2022 using VBITS=256
  131. Thu Oct 27 21:44:10 2022 read 2970186 cycles
  132. Thu Oct 27 21:44:30 2022 cycles contain 10016673 unique relations
  133. Thu Oct 27 21:46:13 2022 read 10016673 relations
  134. Thu Oct 27 21:47:08 2022 using 20 quadratic characters above 4294917295
  135. Thu Oct 27 21:48:05 2022 building initial matrix
  136. Thu Oct 27 21:56:16 2022 memory use: 1379.7 MB
  137. Thu Oct 27 21:56:20 2022 read 2970186 cycles
  138. Thu Oct 27 21:56:22 2022 matrix is 2970009 x 2970186 (1396.0 MB) with weight 424198497 (142.82/col)
  139. Thu Oct 27 21:56:22 2022 sparse part has weight 330322037 (111.21/col)
  140. Thu Oct 27 21:58:23 2022 filtering completed in 2 passes
  141. Thu Oct 27 21:58:25 2022 matrix is 2969929 x 2970103 (1396.0 MB) with weight 424194388 (142.82/col)
  142. Thu Oct 27 21:58:25 2022 sparse part has weight 330320616 (111.22/col)
  143. Thu Oct 27 21:58:50 2022 matrix starts at (0, 0)
  144. Thu Oct 27 21:58:51 2022 matrix is 2969929 x 2970103 (1396.0 MB) with weight 424194388 (142.82/col)
  145. Thu Oct 27 21:58:51 2022 sparse part has weight 330320616 (111.22/col)
  146. Thu Oct 27 21:58:51 2022 saving the first 240 matrix rows for later
  147. Thu Oct 27 21:58:53 2022 matrix includes 256 packed rows
  148. Thu Oct 27 21:58:56 2022 matrix is 2969689 x 2970103 (1240.0 MB) with weight 298794398 (100.60/col)
  149. Thu Oct 27 21:58:56 2022 sparse part has weight 277527570 (93.44/col)
  150. Thu Oct 27 21:58:57 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  151. Thu Oct 27 21:58:57 2022 selected card has CUDA arch 7.5
  152. Thu Oct 27 21:59:58 2022 commencing Lanczos iteration
  153. Thu Oct 27 21:59:59 2022 memory use: 2865.2 MB
  154. Thu Oct 27 22:00:14 2022 linear algebra at 0.3%, ETA 1h36m
  155. Thu Oct 27 22:00:14 2022 checkpointing every 1910000 dimensions
  156. Thu Oct 27 23:34:14 2022 lanczos halted after 11636 iterations (dim = 2969689)
  157. Thu Oct 27 23:34:48 2022 recovered 31 nontrivial dependencies
  158. Thu Oct 27 23:34:48 2022 BLanczosTime: 6638
  159. Thu Oct 27 23:34:48 2022
  160. Thu Oct 27 23:34:48 2022 commencing square root phase
  161. Thu Oct 27 23:34:48 2022 reading relations for dependency 1
  162. Thu Oct 27 23:34:49 2022 read 1484800 cycles
  163. Thu Oct 27 23:34:59 2022 cycles contain 5008856 unique relations
  164. Thu Oct 27 23:35:57 2022 read 5008856 relations
  165. Thu Oct 27 23:37:16 2022 multiplying 5008856 relations
  166. Thu Oct 27 23:48:12 2022 multiply complete, coefficients have about 267.72 million bits
  167. Thu Oct 27 23:48:15 2022 initial square root is modulo 63709
  168. Fri Oct 28 00:02:13 2022 sqrtTime: 1645
  169. Fri Oct 28 00:02:13 2022 p66 factor: 130355111152663520332389032326384974915031176575866944365034673003
  170. Fri Oct 28 00:02:13 2022 p88 factor: 1618872664478293865641530238259748583684554781460609382454765396566909485876668533186521
  171. Fri Oct 28 00:02:13 2022 elapsed time 02:18:05
  172.  
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