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Oct 17th, 2022
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  1. Sun Oct 16 17:52:41 2022
  2. Sun Oct 16 17:52:41 2022
  3. Sun Oct 16 17:52:41 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 16 17:52:41 2022 random seeds: 6ce59a36 ba236efa
  5. Sun Oct 16 17:52:41 2022 factoring 131110601239649044208991581451482249319300002836509718757097205093343939105295306902981367840761475591718752160960802631985433474089143929521935358215954160558427912941 (168 digits)
  6. Sun Oct 16 17:52:42 2022 searching for 15-digit factors
  7. Sun Oct 16 17:52:43 2022 commencing number field sieve (168-digit input)
  8. Sun Oct 16 17:52:43 2022 R0: 148394837054067701853635707255282528711
  9. Sun Oct 16 17:52:43 2022 R1: -1
  10. Sun Oct 16 17:52:43 2022 A0: -1
  11. Sun Oct 16 17:52:43 2022 A1: 0
  12. Sun Oct 16 17:52:43 2022 A2: 0
  13. Sun Oct 16 17:52:43 2022 A3: 0
  14. Sun Oct 16 17:52:43 2022 A4: 0
  15. Sun Oct 16 17:52:43 2022 A5: 0
  16. Sun Oct 16 17:52:43 2022 A6: 283831
  17. Sun Oct 16 17:52:43 2022 skew 0.12, size 4.590e-12, alpha 1.338, combined = 3.735e-13 rroots = 2
  18. Sun Oct 16 17:52:43 2022
  19. Sun Oct 16 17:52:43 2022 commencing relation filtering
  20. Sun Oct 16 17:52:43 2022 setting target matrix density to 112.0
  21. Sun Oct 16 17:52:43 2022 estimated available RAM is 15954.6 MB
  22. Sun Oct 16 17:52:43 2022 commencing duplicate removal, pass 1
  23. Sun Oct 16 18:11:43 2022 error -15 reading relation 82362463
  24. Sun Oct 16 18:16:50 2022 skipped 2581 relations with b > 2^32
  25. Sun Oct 16 18:16:50 2022 skipped 1 relations with composite factors
  26. Sun Oct 16 18:16:50 2022 found 4769516 hash collisions in 104493485 relations
  27. Sun Oct 16 18:17:21 2022 added 1218895 free relations
  28. Sun Oct 16 18:17:21 2022 commencing duplicate removal, pass 2
  29. Sun Oct 16 18:18:37 2022 found 0 duplicates and 105712380 unique relations
  30. Sun Oct 16 18:18:37 2022 memory use: 261.2 MB
  31. Sun Oct 16 18:18:37 2022 reading ideals above 79364096
  32. Sun Oct 16 18:18:37 2022 commencing singleton removal, initial pass
  33. Sun Oct 16 18:41:30 2022 memory use: 2756.0 MB
  34. Sun Oct 16 18:41:30 2022 reading all ideals from disk
  35. Sun Oct 16 18:41:33 2022 memory use: 1891.0 MB
  36. Sun Oct 16 18:42:00 2022 commencing in-memory singleton removal
  37. Sun Oct 16 18:42:27 2022 begin with 105712380 relations and 84234460 unique ideals
  38. Sun Oct 16 18:47:01 2022 reduce to 73830093 relations and 49515536 ideals in 14 passes
  39. Sun Oct 16 18:47:01 2022 max relations containing the same ideal: 45
  40. Sun Oct 16 18:47:18 2022 reading ideals above 720000
  41. Sun Oct 16 18:47:18 2022 commencing singleton removal, initial pass
  42. Sun Oct 16 19:12:13 2022 memory use: 1506.0 MB
  43. Sun Oct 16 19:12:13 2022 reading all ideals from disk
  44. Sun Oct 16 19:12:19 2022 memory use: 2895.3 MB
  45. Sun Oct 16 19:13:01 2022 keeping 58374588 ideals with weight <= 200, target excess is 412971
  46. Sun Oct 16 19:13:48 2022 commencing in-memory singleton removal
  47. Sun Oct 16 19:14:23 2022 begin with 73830093 relations and 58374588 unique ideals
  48. Sun Oct 16 19:18:07 2022 reduce to 73828925 relations and 58373420 ideals in 6 passes
  49. Sun Oct 16 19:18:07 2022 max relations containing the same ideal: 200
  50. Sun Oct 16 19:21:03 2022 removing 8414345 relations and 6414345 ideals in 2000000 cliques
  51. Sun Oct 16 19:21:09 2022 commencing in-memory singleton removal
  52. Sun Oct 16 19:21:43 2022 begin with 65414580 relations and 58373420 unique ideals
  53. Sun Oct 16 19:26:16 2022 reduce to 64660565 relations and 51180415 ideals in 8 passes
  54. Sun Oct 16 19:26:16 2022 max relations containing the same ideal: 193
  55. Sun Oct 16 19:28:53 2022 removing 6731172 relations and 4731172 ideals in 2000000 cliques
  56. Sun Oct 16 19:29:00 2022 commencing in-memory singleton removal
  57. Sun Oct 16 19:29:26 2022 begin with 57929393 relations and 51180415 unique ideals
  58. Sun Oct 16 19:32:42 2022 reduce to 57393819 relations and 45897644 ideals in 7 passes
  59. Sun Oct 16 19:32:42 2022 max relations containing the same ideal: 182
  60. Sun Oct 16 19:34:57 2022 removing 6263619 relations and 4263619 ideals in 2000000 cliques
  61. Sun Oct 16 19:35:03 2022 commencing in-memory singleton removal
  62. Sun Oct 16 19:35:26 2022 begin with 51130200 relations and 45897644 unique ideals
  63. Sun Oct 16 19:39:05 2022 reduce to 50638669 relations and 41126752 ideals in 9 passes
  64. Sun Oct 16 19:39:05 2022 max relations containing the same ideal: 169
  65. Sun Oct 16 19:41:03 2022 removing 6034230 relations and 4034230 ideals in 2000000 cliques
  66. Sun Oct 16 19:41:08 2022 commencing in-memory singleton removal
  67. Sun Oct 16 19:41:27 2022 begin with 44604439 relations and 41126752 unique ideals
  68. Sun Oct 16 19:43:49 2022 reduce to 44115570 relations and 36586561 ideals in 7 passes
  69. Sun Oct 16 19:43:49 2022 max relations containing the same ideal: 153
  70. Sun Oct 16 19:45:29 2022 removing 5899854 relations and 3899854 ideals in 2000000 cliques
  71. Sun Oct 16 19:45:34 2022 commencing in-memory singleton removal
  72. Sun Oct 16 19:45:50 2022 begin with 38215716 relations and 36586561 unique ideals
  73. Sun Oct 16 19:47:48 2022 reduce to 37707381 relations and 32158738 ideals in 7 passes
  74. Sun Oct 16 19:47:48 2022 max relations containing the same ideal: 141
  75. Sun Oct 16 19:49:12 2022 removing 5807106 relations and 3807106 ideals in 2000000 cliques
  76. Sun Oct 16 19:49:17 2022 commencing in-memory singleton removal
  77. Sun Oct 16 19:49:30 2022 begin with 31900275 relations and 32158738 unique ideals
  78. Sun Oct 16 19:51:05 2022 reduce to 31346496 relations and 27773134 ideals in 7 passes
  79. Sun Oct 16 19:51:05 2022 max relations containing the same ideal: 124
  80. Sun Oct 16 19:52:14 2022 removing 5749785 relations and 3749785 ideals in 2000000 cliques
  81. Sun Oct 16 19:52:19 2022 commencing in-memory singleton removal
  82. Sun Oct 16 19:52:28 2022 begin with 25596711 relations and 27773134 unique ideals
  83. Sun Oct 16 19:53:52 2022 reduce to 24961431 relations and 23353922 ideals in 8 passes
  84. Sun Oct 16 19:53:52 2022 max relations containing the same ideal: 102
  85. Sun Oct 16 19:54:46 2022 removing 3572254 relations and 2443792 ideals in 1128462 cliques
  86. Sun Oct 16 19:54:49 2022 commencing in-memory singleton removal
  87. Sun Oct 16 19:54:57 2022 begin with 21389177 relations and 23353922 unique ideals
  88. Sun Oct 16 19:55:58 2022 reduce to 21052013 relations and 20559587 ideals in 8 passes
  89. Sun Oct 16 19:55:58 2022 max relations containing the same ideal: 89
  90. Sun Oct 16 19:56:37 2022 removing 82939 relations and 69560 ideals in 13379 cliques
  91. Sun Oct 16 19:56:40 2022 commencing in-memory singleton removal
  92. Sun Oct 16 19:56:47 2022 begin with 20969074 relations and 20559587 unique ideals
  93. Sun Oct 16 19:57:25 2022 reduce to 20968865 relations and 20489818 ideals in 5 passes
  94. Sun Oct 16 19:57:25 2022 max relations containing the same ideal: 89
  95. Sun Oct 16 19:57:36 2022 relations with 0 large ideals: 15028
  96. Sun Oct 16 19:57:36 2022 relations with 1 large ideals: 5249
  97. Sun Oct 16 19:57:36 2022 relations with 2 large ideals: 43717
  98. Sun Oct 16 19:57:36 2022 relations with 3 large ideals: 331584
  99. Sun Oct 16 19:57:36 2022 relations with 4 large ideals: 1361426
  100. Sun Oct 16 19:57:36 2022 relations with 5 large ideals: 3353869
  101. Sun Oct 16 19:57:36 2022 relations with 6 large ideals: 5206047
  102. Sun Oct 16 19:57:36 2022 relations with 7+ large ideals: 10651945
  103. Sun Oct 16 19:57:36 2022 commencing 2-way merge
  104. Sun Oct 16 19:58:22 2022 reduce to 14348842 relation sets and 13869795 unique ideals
  105. Sun Oct 16 19:58:22 2022 commencing full merge
  106. Sun Oct 16 20:14:48 2022 memory use: 1903.2 MB
  107. Sun Oct 16 20:14:53 2022 found 6742153 cycles, need 6695995
  108. Sun Oct 16 20:14:59 2022 weight of 6695995 cycles is about 750031468 (112.01/cycle)
  109. Sun Oct 16 20:14:59 2022 distribution of cycle lengths:
  110. Sun Oct 16 20:14:59 2022 1 relations: 260270
  111. Sun Oct 16 20:14:59 2022 2 relations: 410431
  112. Sun Oct 16 20:14:59 2022 3 relations: 513189
  113. Sun Oct 16 20:14:59 2022 4 relations: 553951
  114. Sun Oct 16 20:14:59 2022 5 relations: 579256
  115. Sun Oct 16 20:14:59 2022 6 relations: 574147
  116. Sun Oct 16 20:14:59 2022 7 relations: 557350
  117. Sun Oct 16 20:14:59 2022 8 relations: 518642
  118. Sun Oct 16 20:14:59 2022 9 relations: 471399
  119. Sun Oct 16 20:14:59 2022 10+ relations: 2257360
  120. Sun Oct 16 20:14:59 2022 heaviest cycle: 28 relations
  121. Sun Oct 16 20:15:06 2022 commencing cycle optimization
  122. Sun Oct 16 20:15:55 2022 start with 54092108 relations
  123. Sun Oct 16 20:21:34 2022 pruned 2607277 relations
  124. Sun Oct 16 20:21:34 2022 memory use: 1435.4 MB
  125. Sun Oct 16 20:21:34 2022 distribution of cycle lengths:
  126. Sun Oct 16 20:21:34 2022 1 relations: 260270
  127. Sun Oct 16 20:21:34 2022 2 relations: 421452
  128. Sun Oct 16 20:21:34 2022 3 relations: 537654
  129. Sun Oct 16 20:21:34 2022 4 relations: 580630
  130. Sun Oct 16 20:21:34 2022 5 relations: 612922
  131. Sun Oct 16 20:21:34 2022 6 relations: 606218
  132. Sun Oct 16 20:21:34 2022 7 relations: 589064
  133. Sun Oct 16 20:21:34 2022 8 relations: 543932
  134. Sun Oct 16 20:21:34 2022 9 relations: 490483
  135. Sun Oct 16 20:21:34 2022 10+ relations: 2053370
  136. Sun Oct 16 20:21:34 2022 heaviest cycle: 27 relations
  137. Sun Oct 16 20:22:12 2022 RelProcTime: 8969
  138. Sun Oct 16 20:22:12 2022
  139. Sun Oct 16 20:22:12 2022 commencing linear algebra
  140. Sun Oct 16 20:22:12 2022 using VBITS=256
  141. Sun Oct 16 20:22:13 2022 read 6695995 cycles
  142. Sun Oct 16 20:22:57 2022 cycles contain 20741394 unique relations
  143. Sun Oct 16 20:26:31 2022 read 20741394 relations
  144. Sun Oct 16 20:28:42 2022 using 20 quadratic characters above 4294917295
  145. Sun Oct 16 20:30:41 2022 building initial matrix
  146. Sun Oct 16 20:49:27 2022 memory use: 2735.5 MB
  147. Sun Oct 16 20:49:37 2022 read 6695995 cycles
  148. Sun Oct 16 20:49:39 2022 matrix is 6695818 x 6695995 (2923.5 MB) with weight 843922514 (126.03/col)
  149. Sun Oct 16 20:49:39 2022 sparse part has weight 699423566 (104.45/col)
  150. Sun Oct 16 20:54:24 2022 filtering completed in 2 passes
  151. Sun Oct 16 20:54:27 2022 matrix is 6695672 x 6695841 (2923.5 MB) with weight 843916859 (126.04/col)
  152. Sun Oct 16 20:54:27 2022 sparse part has weight 699421149 (104.46/col)
  153. Sun Oct 16 20:55:21 2022 matrix starts at (0, 0)
  154. Sun Oct 16 20:55:24 2022 matrix is 6695672 x 6695841 (2923.5 MB) with weight 843916859 (126.04/col)
  155. Sun Oct 16 20:55:24 2022 sparse part has weight 699421149 (104.46/col)
  156. Sun Oct 16 20:55:24 2022 saving the first 240 matrix rows for later
  157. Sun Oct 16 20:55:28 2022 matrix includes 256 packed rows
  158. Sun Oct 16 20:55:35 2022 matrix is 6695432 x 6695841 (2699.7 MB) with weight 635148779 (94.86/col)
  159. Sun Oct 16 20:55:35 2022 sparse part has weight 600563879 (89.69/col)
  160. Sun Oct 16 20:55:36 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  161. Sun Oct 16 20:55:36 2022 selected card has CUDA arch 7.5
  162. Sun Oct 16 20:58:13 2022 commencing Lanczos iteration
  163. Sun Oct 16 21:01:16 2022
  164. Sun Oct 16 21:01:16 2022
  165. Sun Oct 16 21:01:16 2022 Msieve v. 1.54 (SVN Unversioned directory)
  166. Sun Oct 16 21:01:16 2022 random seeds: c57bea18 8b46e6e8
  167. Sun Oct 16 21:01:16 2022 factoring 131110601239649044208991581451482249319300002836509718757097205093343939105295306902981367840761475591718752160960802631985433474089143929521935358215954160558427912941 (168 digits)
  168. Sun Oct 16 21:01:17 2022 searching for 15-digit factors
  169. Sun Oct 16 21:01:18 2022 commencing number field sieve (168-digit input)
  170. Sun Oct 16 21:01:18 2022 R0: 148394837054067701853635707255282528711
  171. Sun Oct 16 21:01:18 2022 R1: -1
  172. Sun Oct 16 21:01:18 2022 A0: -1
  173. Sun Oct 16 21:01:18 2022 A1: 0
  174. Sun Oct 16 21:01:18 2022 A2: 0
  175. Sun Oct 16 21:01:18 2022 A3: 0
  176. Sun Oct 16 21:01:18 2022 A4: 0
  177. Sun Oct 16 21:01:18 2022 A5: 0
  178. Sun Oct 16 21:01:18 2022 A6: 283831
  179. Sun Oct 16 21:01:18 2022 skew 0.12, size 4.590e-12, alpha 1.338, combined = 3.735e-13 rroots = 2
  180. Sun Oct 16 21:01:18 2022
  181. Sun Oct 16 21:01:18 2022 commencing linear algebra
  182. Sun Oct 16 21:01:18 2022 using VBITS=256
  183. Sun Oct 16 21:01:18 2022 skipping matrix build
  184. Sun Oct 16 21:01:24 2022 matrix starts at (0, 0)
  185. Sun Oct 16 21:01:26 2022 matrix is 6695672 x 6695841 (2923.5 MB) with weight 843916859 (126.04/col)
  186. Sun Oct 16 21:01:26 2022 sparse part has weight 699421149 (104.46/col)
  187. Sun Oct 16 21:01:26 2022 saving the first 240 matrix rows for later
  188. Sun Oct 16 21:01:33 2022 matrix includes 256 packed rows
  189. Sun Oct 16 21:01:39 2022 matrix is 6695432 x 6695841 (2699.7 MB) with weight 635148779 (94.86/col)
  190. Sun Oct 16 21:01:39 2022 sparse part has weight 600563879 (89.69/col)
  191. Sun Oct 16 21:01:39 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  192. Sun Oct 16 21:01:39 2022 selected card has CUDA arch 7.5
  193. Sun Oct 16 21:04:12 2022 commencing Lanczos iteration
  194. Sun Oct 16 21:06:19 2022
  195. Sun Oct 16 21:06:19 2022
  196. Sun Oct 16 21:06:19 2022 Msieve v. 1.54 (SVN Unversioned directory)
  197. Sun Oct 16 21:06:19 2022 random seeds: 4b402c3e 4441b968
  198. Sun Oct 16 21:06:19 2022 factoring 131110601239649044208991581451482249319300002836509718757097205093343939105295306902981367840761475591718752160960802631985433474089143929521935358215954160558427912941 (168 digits)
  199. Sun Oct 16 21:06:20 2022 searching for 15-digit factors
  200. Sun Oct 16 21:06:21 2022 commencing number field sieve (168-digit input)
  201. Sun Oct 16 21:06:21 2022 R0: 148394837054067701853635707255282528711
  202. Sun Oct 16 21:06:21 2022 R1: -1
  203. Sun Oct 16 21:06:21 2022 A0: -1
  204. Sun Oct 16 21:06:21 2022 A1: 0
  205. Sun Oct 16 21:06:21 2022 A2: 0
  206. Sun Oct 16 21:06:21 2022 A3: 0
  207. Sun Oct 16 21:06:21 2022 A4: 0
  208. Sun Oct 16 21:06:21 2022 A5: 0
  209. Sun Oct 16 21:06:21 2022 A6: 283831
  210. Sun Oct 16 21:06:21 2022 skew 0.12, size 4.590e-12, alpha 1.338, combined = 3.735e-13 rroots = 2
  211. Sun Oct 16 21:06:21 2022
  212. Sun Oct 16 21:06:21 2022 commencing linear algebra
  213. Sun Oct 16 21:06:21 2022 using VBITS=256
  214. Sun Oct 16 21:06:21 2022 skipping matrix build
  215. Sun Oct 16 21:06:27 2022 matrix starts at (0, 0)
  216. Sun Oct 16 21:06:30 2022 matrix is 6695672 x 6695841 (2923.5 MB) with weight 843916859 (126.04/col)
  217. Sun Oct 16 21:06:30 2022 sparse part has weight 699421149 (104.46/col)
  218. Sun Oct 16 21:06:30 2022 saving the first 240 matrix rows for later
  219. Sun Oct 16 21:06:36 2022 matrix includes 256 packed rows
  220. Sun Oct 16 21:06:42 2022 matrix is 6695432 x 6695841 (2699.7 MB) with weight 635148779 (94.86/col)
  221. Sun Oct 16 21:06:42 2022 sparse part has weight 600563879 (89.69/col)
  222. Sun Oct 16 21:06:42 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  223. Sun Oct 16 21:06:42 2022 selected card has CUDA arch 7.5
  224. Sun Oct 16 21:09:17 2022 commencing Lanczos iteration
  225. Sun Oct 16 21:09:19 2022 memory use: 6267.8 MB
  226. Sun Oct 16 21:11:06 2022 linear algebra at 0.1%, ETA 24h58m
  227. Sun Oct 16 21:11:09 2022 checkpointing every 270000 dimensions
  228. Mon Oct 17 19:15:17 2022 lanczos halted after 26234 iterations (dim = 6695432)
  229. Mon Oct 17 19:16:39 2022 recovered 40 nontrivial dependencies
  230. Mon Oct 17 19:16:40 2022 BLanczosTime: 79819
  231. Mon Oct 17 19:16:40 2022
  232. Mon Oct 17 19:16:40 2022 commencing square root phase
  233. Mon Oct 17 19:16:40 2022 handling dependencies 1 to 64
  234. Mon Oct 17 19:16:40 2022 reading relations for dependency 1
  235. Mon Oct 17 19:16:43 2022 read 3345522 cycles
  236. Mon Oct 17 19:17:05 2022 cycles contain 10367242 unique relations
  237. Mon Oct 17 19:19:02 2022 read 10367242 relations
  238. Mon Oct 17 19:21:44 2022 multiplying 10367242 relations
  239. Mon Oct 17 19:49:34 2022 multiply complete, coefficients have about 436.10 million bits
  240. Mon Oct 17 19:49:36 2022 initial square root is modulo 66825877
  241. Mon Oct 17 20:21:30 2022 sqrtTime: 3890
  242. Mon Oct 17 20:21:30 2022 p69 factor: 352683483257400504238621677739474583186127615831939230342296215195517
  243. Mon Oct 17 20:21:30 2022 p99 factor: 371751464028611824491313275814635697156207554348659721805919783700088560621816029050484563694490673
  244. Mon Oct 17 20:21:30 2022 elapsed time 23:15:11
  245.  
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