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Apr 24th, 2023
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  1. Mon Apr 24 13:44:49 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon Apr 24 13:44:49 2023 random seeds: f3eb8e6a 4815d7ba
  3. Mon Apr 24 13:44:49 2023 Using 16 OpenMP threads
  4. Mon Apr 24 13:44:49 2023 factoring 2156780077373421135181805009021451102241671595334566377333095858393336232139997557947909298110069376307157900705279949658164260745918753917703027691204457312536276703284570373804626884543819718769151949004044197 (211 digits)
  5. Mon Apr 24 13:44:49 2023 no P-1/P+1/ECM available, skipping
  6. Mon Apr 24 13:44:49 2023 commencing number field sieve (211-digit input)
  7. Mon Apr 24 13:44:49 2023 R0: 6706689491450468780114086511263373519882
  8. Mon Apr 24 13:44:49 2023 R1: -81894380096869093891
  9. Mon Apr 24 13:44:49 2023 A0: -1
  10. Mon Apr 24 13:44:49 2023 A1: 3
  11. Mon Apr 24 13:44:49 2023 A2: 6
  12. Mon Apr 24 13:44:49 2023 A3: -4
  13. Mon Apr 24 13:44:49 2023 A4: -5
  14. Mon Apr 24 13:44:49 2023 A5: 1
  15. Mon Apr 24 13:44:49 2023 A6: 1
  16. Mon Apr 24 13:44:49 2023 skew 1.00, size 9.413e-12, alpha 3.126, combined = 5.966e-13 rroots = 6
  17. Mon Apr 24 13:44:49 2023
  18. Mon Apr 24 13:44:49 2023 commencing relation filtering
  19. Mon Apr 24 13:44:49 2023 setting target matrix density to 120.0
  20. Mon Apr 24 13:44:49 2023 estimated available RAM is 64238.6 MB
  21. Mon Apr 24 13:44:49 2023 commencing duplicate removal, pass 1
  22. Mon Apr 24 13:46:34 2023 skipped 50 relations with b > 2^32
  23. Mon Apr 24 13:46:34 2023 found 5093013 hash collisions in 151393431 relations
  24. Mon Apr 24 13:46:37 2023 added 2438358 free relations
  25. Mon Apr 24 13:46:37 2023 commencing duplicate removal, pass 2
  26. Mon Apr 24 13:47:02 2023 found 0 duplicates and 153831789 unique relations
  27. Mon Apr 24 13:47:02 2023 memory use: 522.4 MB
  28. Mon Apr 24 13:47:02 2023 reading ideals above 720000
  29. Mon Apr 24 13:47:02 2023 commencing singleton removal, initial pass
  30. Mon Apr 24 13:51:33 2023 memory use: 3012.0 MB
  31. Mon Apr 24 13:51:33 2023 reading all ideals from disk
  32. Mon Apr 24 13:51:34 2023 memory use: 7145.5 MB
  33. Mon Apr 24 13:51:40 2023 keeping 125096174 ideals with weight <= 200, target excess is 768051
  34. Mon Apr 24 13:51:48 2023 commencing in-memory singleton removal
  35. Mon Apr 24 13:51:50 2023 begin with 153831789 relations and 125096174 unique ideals
  36. Mon Apr 24 13:52:03 2023 reduce to 117892471 relations and 87200393 ideals in 11 passes
  37. Mon Apr 24 13:52:03 2023 max relations containing the same ideal: 179
  38. Mon Apr 24 13:52:22 2023 removing 8325763 relations and 6325763 ideals in 2000000 cliques
  39. Mon Apr 24 13:52:24 2023 commencing in-memory singleton removal
  40. Mon Apr 24 13:52:26 2023 begin with 109566708 relations and 87200393 unique ideals
  41. Mon Apr 24 13:52:33 2023 reduce to 109095541 relations and 80393257 ideals in 7 passes
  42. Mon Apr 24 13:52:33 2023 max relations containing the same ideal: 170
  43. Mon Apr 24 13:52:50 2023 removing 6588807 relations and 4588807 ideals in 2000000 cliques
  44. Mon Apr 24 13:52:52 2023 commencing in-memory singleton removal
  45. Mon Apr 24 13:52:54 2023 begin with 102506734 relations and 80393257 unique ideals
  46. Mon Apr 24 13:52:59 2023 reduce to 102182411 relations and 75473836 ideals in 6 passes
  47. Mon Apr 24 13:52:59 2023 max relations containing the same ideal: 163
  48. Mon Apr 24 13:53:15 2023 removing 6117897 relations and 4117897 ideals in 2000000 cliques
  49. Mon Apr 24 13:53:17 2023 commencing in-memory singleton removal
  50. Mon Apr 24 13:53:19 2023 begin with 96064514 relations and 75473836 unique ideals
  51. Mon Apr 24 13:53:25 2023 reduce to 95781449 relations and 71067329 ideals in 7 passes
  52. Mon Apr 24 13:53:25 2023 max relations containing the same ideal: 156
  53. Mon Apr 24 13:53:40 2023 removing 5878081 relations and 3878081 ideals in 2000000 cliques
  54. Mon Apr 24 13:53:42 2023 commencing in-memory singleton removal
  55. Mon Apr 24 13:53:43 2023 begin with 89903368 relations and 71067329 unique ideals
  56. Mon Apr 24 13:53:48 2023 reduce to 89638310 relations and 66919002 ideals in 6 passes
  57. Mon Apr 24 13:53:48 2023 max relations containing the same ideal: 150
  58. Mon Apr 24 13:54:03 2023 removing 5725959 relations and 3725959 ideals in 2000000 cliques
  59. Mon Apr 24 13:54:04 2023 commencing in-memory singleton removal
  60. Mon Apr 24 13:54:06 2023 begin with 83912351 relations and 66919002 unique ideals
  61. Mon Apr 24 13:54:10 2023 reduce to 83653890 relations and 62929175 ideals in 6 passes
  62. Mon Apr 24 13:54:10 2023 max relations containing the same ideal: 145
  63. Mon Apr 24 13:54:23 2023 removing 5618580 relations and 3618580 ideals in 2000000 cliques
  64. Mon Apr 24 13:54:25 2023 commencing in-memory singleton removal
  65. Mon Apr 24 13:54:26 2023 begin with 78035310 relations and 62929175 unique ideals
  66. Mon Apr 24 13:54:31 2023 reduce to 77774415 relations and 59043974 ideals in 7 passes
  67. Mon Apr 24 13:54:31 2023 max relations containing the same ideal: 138
  68. Mon Apr 24 13:54:44 2023 removing 5551235 relations and 3551235 ideals in 2000000 cliques
  69. Mon Apr 24 13:54:45 2023 commencing in-memory singleton removal
  70. Mon Apr 24 13:54:46 2023 begin with 72223180 relations and 59043974 unique ideals
  71. Mon Apr 24 13:54:50 2023 reduce to 71956215 relations and 55219738 ideals in 6 passes
  72. Mon Apr 24 13:54:50 2023 max relations containing the same ideal: 132
  73. Mon Apr 24 13:55:02 2023 removing 5502371 relations and 3502371 ideals in 2000000 cliques
  74. Mon Apr 24 13:55:03 2023 commencing in-memory singleton removal
  75. Mon Apr 24 13:55:04 2023 begin with 66453844 relations and 55219738 unique ideals
  76. Mon Apr 24 13:55:08 2023 reduce to 66175189 relations and 51431748 ideals in 6 passes
  77. Mon Apr 24 13:55:08 2023 max relations containing the same ideal: 122
  78. Mon Apr 24 13:55:19 2023 removing 5474697 relations and 3474697 ideals in 2000000 cliques
  79. Mon Apr 24 13:55:20 2023 commencing in-memory singleton removal
  80. Mon Apr 24 13:55:21 2023 begin with 60700492 relations and 51431748 unique ideals
  81. Mon Apr 24 13:55:24 2023 reduce to 60405935 relations and 47654778 ideals in 6 passes
  82. Mon Apr 24 13:55:24 2023 max relations containing the same ideal: 116
  83. Mon Apr 24 13:55:34 2023 removing 5461271 relations and 3461271 ideals in 2000000 cliques
  84. Mon Apr 24 13:55:36 2023 commencing in-memory singleton removal
  85. Mon Apr 24 13:55:37 2023 begin with 54944664 relations and 47654778 unique ideals
  86. Mon Apr 24 13:55:39 2023 reduce to 54627126 relations and 43866692 ideals in 6 passes
  87. Mon Apr 24 13:55:39 2023 max relations containing the same ideal: 107
  88. Mon Apr 24 13:55:49 2023 removing 5459030 relations and 3459030 ideals in 2000000 cliques
  89. Mon Apr 24 13:55:50 2023 commencing in-memory singleton removal
  90. Mon Apr 24 13:55:51 2023 begin with 49168096 relations and 43866692 unique ideals
  91. Mon Apr 24 13:55:54 2023 reduce to 48821405 relations and 40050007 ideals in 7 passes
  92. Mon Apr 24 13:55:54 2023 max relations containing the same ideal: 101
  93. Mon Apr 24 13:56:02 2023 removing 5472243 relations and 3472243 ideals in 2000000 cliques
  94. Mon Apr 24 13:56:03 2023 commencing in-memory singleton removal
  95. Mon Apr 24 13:56:04 2023 begin with 43349162 relations and 40050007 unique ideals
  96. Mon Apr 24 13:56:06 2023 reduce to 42963127 relations and 36178192 ideals in 6 passes
  97. Mon Apr 24 13:56:06 2023 max relations containing the same ideal: 93
  98. Mon Apr 24 13:56:14 2023 removing 5498827 relations and 3498827 ideals in 2000000 cliques
  99. Mon Apr 24 13:56:15 2023 commencing in-memory singleton removal
  100. Mon Apr 24 13:56:16 2023 begin with 37464300 relations and 36178192 unique ideals
  101. Mon Apr 24 13:56:17 2023 reduce to 37023871 relations and 32221275 ideals in 7 passes
  102. Mon Apr 24 13:56:17 2023 max relations containing the same ideal: 85
  103. Mon Apr 24 13:56:24 2023 removing 5537649 relations and 3537649 ideals in 2000000 cliques
  104. Mon Apr 24 13:56:26 2023 commencing in-memory singleton removal
  105. Mon Apr 24 13:56:26 2023 begin with 31486222 relations and 32221275 unique ideals
  106. Mon Apr 24 13:56:28 2023 reduce to 30960059 relations and 28133442 ideals in 8 passes
  107. Mon Apr 24 13:56:28 2023 max relations containing the same ideal: 75
  108. Mon Apr 24 13:56:34 2023 removing 5450470 relations and 3514793 ideals in 1935677 cliques
  109. Mon Apr 24 13:56:35 2023 commencing in-memory singleton removal
  110. Mon Apr 24 13:56:35 2023 begin with 25509589 relations and 28133442 unique ideals
  111. Mon Apr 24 13:56:37 2023 reduce to 24861384 relations and 23935613 ideals in 9 passes
  112. Mon Apr 24 13:56:37 2023 max relations containing the same ideal: 66
  113. Mon Apr 24 13:56:42 2023 removing 200271 relations and 165440 ideals in 34831 cliques
  114. Mon Apr 24 13:56:42 2023 commencing in-memory singleton removal
  115. Mon Apr 24 13:56:42 2023 begin with 24661113 relations and 23935613 unique ideals
  116. Mon Apr 24 13:56:43 2023 reduce to 24659428 relations and 23768485 ideals in 5 passes
  117. Mon Apr 24 13:56:43 2023 max relations containing the same ideal: 66
  118. Mon Apr 24 13:56:45 2023 relations with 0 large ideals: 58910
  119. Mon Apr 24 13:56:45 2023 relations with 1 large ideals: 19166
  120. Mon Apr 24 13:56:45 2023 relations with 2 large ideals: 219476
  121. Mon Apr 24 13:56:45 2023 relations with 3 large ideals: 1193388
  122. Mon Apr 24 13:56:45 2023 relations with 4 large ideals: 3462966
  123. Mon Apr 24 13:56:45 2023 relations with 5 large ideals: 5942096
  124. Mon Apr 24 13:56:45 2023 relations with 6 large ideals: 6342527
  125. Mon Apr 24 13:56:45 2023 relations with 7+ large ideals: 7420899
  126. Mon Apr 24 13:56:45 2023 commencing 2-way merge
  127. Mon Apr 24 13:56:52 2023 reduce to 17088171 relation sets and 16197228 unique ideals
  128. Mon Apr 24 13:56:52 2023 commencing full merge
  129. Mon Apr 24 14:00:58 2023 memory use: 2146.3 MB
  130. Mon Apr 24 14:00:59 2023 found 7565911 cycles, need 7551428
  131. Mon Apr 24 14:01:01 2023 weight of 7551428 cycles is about 906193402 (120.00/cycle)
  132. Mon Apr 24 14:01:01 2023 distribution of cycle lengths:
  133. Mon Apr 24 14:01:01 2023 1 relations: 283598
  134. Mon Apr 24 14:01:01 2023 2 relations: 401926
  135. Mon Apr 24 14:01:01 2023 3 relations: 493877
  136. Mon Apr 24 14:01:01 2023 4 relations: 531025
  137. Mon Apr 24 14:01:01 2023 5 relations: 554264
  138. Mon Apr 24 14:01:01 2023 6 relations: 560156
  139. Mon Apr 24 14:01:01 2023 7 relations: 552219
  140. Mon Apr 24 14:01:01 2023 8 relations: 528212
  141. Mon Apr 24 14:01:01 2023 9 relations: 493546
  142. Mon Apr 24 14:01:01 2023 10+ relations: 3152605
  143. Mon Apr 24 14:01:01 2023 heaviest cycle: 28 relations
  144. Mon Apr 24 14:01:02 2023 commencing cycle optimization
  145. Mon Apr 24 14:01:12 2023 start with 69839004 relations
  146. Mon Apr 24 14:02:55 2023 pruned 3780660 relations
  147. Mon Apr 24 14:02:55 2023 memory use: 1739.6 MB
  148. Mon Apr 24 14:02:55 2023 distribution of cycle lengths:
  149. Mon Apr 24 14:02:55 2023 1 relations: 283598
  150. Mon Apr 24 14:02:55 2023 2 relations: 411873
  151. Mon Apr 24 14:02:55 2023 3 relations: 515834
  152. Mon Apr 24 14:02:55 2023 4 relations: 556222
  153. Mon Apr 24 14:02:55 2023 5 relations: 587231
  154. Mon Apr 24 14:02:55 2023 6 relations: 593561
  155. Mon Apr 24 14:02:55 2023 7 relations: 588267
  156. Mon Apr 24 14:02:55 2023 8 relations: 559645
  157. Mon Apr 24 14:02:55 2023 9 relations: 522151
  158. Mon Apr 24 14:02:55 2023 10+ relations: 2933046
  159. Mon Apr 24 14:02:55 2023 heaviest cycle: 28 relations
  160. Mon Apr 24 14:03:03 2023 RelProcTime: 1094
  161. Mon Apr 24 14:03:03 2023
  162. Mon Apr 24 14:03:03 2023 commencing linear algebra
  163. Mon Apr 24 14:03:03 2023 using VBITS=256
  164. Mon Apr 24 14:03:03 2023 read 7551428 cycles
  165. Mon Apr 24 14:03:13 2023 cycles contain 24233287 unique relations
  166. Mon Apr 24 14:03:28 2023 read 24233287 relations
  167. Mon Apr 24 14:03:30 2023 using 20 quadratic characters above 4294917295
  168. Mon Apr 24 14:03:35 2023 building initial matrix
  169. Mon Apr 24 14:06:24 2023 memory use: 2991.2 MB
  170. Mon Apr 24 14:06:26 2023 read 7551428 cycles
  171. Mon Apr 24 14:06:27 2023 matrix is 7551251 x 7551428 (3485.1 MB) with weight 985583426 (130.52/col)
  172. Mon Apr 24 14:06:27 2023 sparse part has weight 838073899 (110.98/col)
  173. Mon Apr 24 14:07:10 2023 filtering completed in 2 passes
  174. Mon Apr 24 14:07:11 2023 matrix is 7551101 x 7551263 (3485.0 MB) with weight 985578547 (130.52/col)
  175. Mon Apr 24 14:07:11 2023 sparse part has weight 838072194 (110.98/col)
  176. Mon Apr 24 14:07:21 2023 matrix starts at (0, 0)
  177. Mon Apr 24 14:07:22 2023 matrix is 7551101 x 7551263 (3485.0 MB) with weight 985578547 (130.52/col)
  178. Mon Apr 24 14:07:22 2023 sparse part has weight 838072194 (110.98/col)
  179. Mon Apr 24 14:07:22 2023 saving the first 240 matrix rows for later
  180. Mon Apr 24 14:07:23 2023 matrix includes 256 packed rows
  181. Mon Apr 24 14:07:25 2023 matrix is 7550861 x 7551263 (3212.1 MB) with weight 760498044 (100.71/col)
  182. Mon Apr 24 14:07:25 2023 sparse part has weight 721211633 (95.51/col)
  183. Mon Apr 24 14:07:25 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  184. Mon Apr 24 14:07:25 2023 selected card has CUDA arch 8.6
  185. Mon Apr 24 14:07:56 2023 commencing Lanczos iteration
  186. Mon Apr 24 14:07:56 2023 memory use: 7403.6 MB
  187. Mon Apr 24 14:08:19 2023 linear algebra at 0.4%, ETA 1h34m
  188. Mon Apr 24 14:08:53 2023 checking every 80000 dimensions, checkpointing every 4880000 dimensions
  189. Mon Apr 24 15:41:08 2023 lanczos halted after 29585 iterations (dim = 7550858)
  190. Mon Apr 24 15:41:42 2023 recovered 33 nontrivial dependencies
  191. Mon Apr 24 15:41:42 2023 BLanczosTime: 5919
  192. Mon Apr 24 15:41:42 2023
  193. Mon Apr 24 15:41:42 2023 commencing square root phase
  194. Mon Apr 24 15:41:42 2023 handling dependencies 1 to 64
  195. Mon Apr 24 15:41:42 2023 reading relations for dependency 1
  196. Mon Apr 24 15:41:43 2023 read 3777653 cycles
  197. Mon Apr 24 15:41:50 2023 cycles contain 12117942 unique relations
  198. Mon Apr 24 15:42:04 2023 read 12117942 relations
  199. Mon Apr 24 15:42:46 2023 multiplying 12117942 relations
  200. Mon Apr 24 15:46:16 2023 multiply complete, coefficients have about 299.29 million bits
  201. Mon Apr 24 15:46:17 2023 initial square root is modulo 234539
  202. Mon Apr 24 15:48:22 2023 sqrtTime: 400
  203. Mon Apr 24 15:48:22 2023 p101 factor: 38129296321301986803842229038131815091949856880487997578997465521073806779749737808604031174218783043
  204. Mon Apr 24 15:48:22 2023 p110 factor: 56564906396357392139073622182143146986140380978108913774109213216867551505549349853339586146115599735154706679
  205. Mon Apr 24 15:48:22 2023 elapsed time 02:03:33
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