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Sep 17th, 2023
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  1. Sat Sep 16 06:21:24 2023
  2. Sat Sep 16 06:21:24 2023
  3. Sat Sep 16 06:21:24 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Sep 16 06:21:24 2023 random seeds: 4a2f54e3 eae0df81
  5. Sat Sep 16 06:21:24 2023 factoring 829635090596726862790237808467253564552492064458703372083291925975337847764773892381565560373140746206162823226176246605984926714202333675056407862105761658121130876598011518902098216398907824168102265894760816813278107728185491957 (231 digits)
  6. Sat Sep 16 06:21:25 2023 no P-1/P+1/ECM available, skipping
  7. Sat Sep 16 06:21:25 2023 commencing number field sieve (231-digit input)
  8. Sat Sep 16 06:21:25 2023 R0: 14447933467932141687924754155587760861601
  9. Sat Sep 16 06:21:25 2023 R1: -1
  10. Sat Sep 16 06:21:25 2023 A0: -104707
  11. Sat Sep 16 06:21:25 2023 A1: 0
  12. Sat Sep 16 06:21:25 2023 A2: 0
  13. Sat Sep 16 06:21:25 2023 A3: 0
  14. Sat Sep 16 06:21:25 2023 A4: 0
  15. Sat Sep 16 06:21:25 2023 A5: 0
  16. Sat Sep 16 06:21:25 2023 A6: 1
  17. Sat Sep 16 06:21:25 2023 skew 8.80, size 4.158e-12, alpha -0.386, combined = 3.434e-13 rroots = 2
  18. Sat Sep 16 06:21:25 2023
  19. Sat Sep 16 06:21:25 2023 commencing relation filtering
  20. Sat Sep 16 06:21:25 2023 setting target matrix density to 110.0
  21. Sat Sep 16 06:21:25 2023 estimated available RAM is 15960.0 MB
  22. Sat Sep 16 06:21:25 2023 commencing duplicate removal, pass 1
  23. Sat Sep 16 06:40:24 2023 error -15 reading relation 99345962
  24. Sat Sep 16 06:48:02 2023 skipped 1 relations with b > 2^32
  25. Sat Sep 16 06:48:02 2023 found 4355561 hash collisions in 139723290 relations
  26. Sat Sep 16 06:48:23 2023 added 1219448 free relations
  27. Sat Sep 16 06:48:23 2023 commencing duplicate removal, pass 2
  28. Sat Sep 16 06:49:24 2023 found 0 duplicates and 140942738 unique relations
  29. Sat Sep 16 06:49:24 2023 memory use: 389.2 MB
  30. Sat Sep 16 06:49:24 2023 reading ideals above 116195328
  31. Sat Sep 16 06:49:24 2023 commencing singleton removal, initial pass
  32. Sat Sep 16 07:09:27 2023 memory use: 3012.0 MB
  33. Sat Sep 16 07:09:27 2023 reading all ideals from disk
  34. Sat Sep 16 07:09:35 2023 memory use: 2576.1 MB
  35. Sat Sep 16 07:09:47 2023 commencing in-memory singleton removal
  36. Sat Sep 16 07:09:57 2023 begin with 140942738 relations and 117530858 unique ideals
  37. Sat Sep 16 07:12:05 2023 reduce to 91743660 relations and 63580735 ideals in 13 passes
  38. Sat Sep 16 07:12:05 2023 max relations containing the same ideal: 36
  39. Sat Sep 16 07:12:14 2023 reading ideals above 720000
  40. Sat Sep 16 07:12:15 2023 commencing singleton removal, initial pass
  41. Sat Sep 16 07:28:44 2023 memory use: 1506.0 MB
  42. Sat Sep 16 07:28:44 2023 reading all ideals from disk
  43. Sat Sep 16 07:28:54 2023 memory use: 3589.5 MB
  44. Sat Sep 16 07:29:14 2023 keeping 76382108 ideals with weight <= 200, target excess is 466366
  45. Sat Sep 16 07:29:35 2023 commencing in-memory singleton removal
  46. Sat Sep 16 07:29:52 2023 begin with 91743660 relations and 76382108 unique ideals
  47. Sat Sep 16 07:31:53 2023 reduce to 91743119 relations and 76381567 ideals in 8 passes
  48. Sat Sep 16 07:31:53 2023 max relations containing the same ideal: 200
  49. Sat Sep 16 07:33:28 2023 removing 9737411 relations and 7737411 ideals in 2000000 cliques
  50. Sat Sep 16 07:33:35 2023 commencing in-memory singleton removal
  51. Sat Sep 16 07:33:52 2023 begin with 82005708 relations and 76381567 unique ideals
  52. Sat Sep 16 07:35:37 2023 reduce to 81190757 relations and 67806742 ideals in 8 passes
  53. Sat Sep 16 07:35:37 2023 max relations containing the same ideal: 193
  54. Sat Sep 16 07:37:04 2023 removing 7634702 relations and 5634702 ideals in 2000000 cliques
  55. Sat Sep 16 07:37:12 2023 commencing in-memory singleton removal
  56. Sat Sep 16 07:37:26 2023 begin with 73556055 relations and 67806742 unique ideals
  57. Sat Sep 16 07:39:06 2023 reduce to 72982070 relations and 61583903 ideals in 8 passes
  58. Sat Sep 16 07:39:06 2023 max relations containing the same ideal: 182
  59. Sat Sep 16 07:40:17 2023 removing 7043320 relations and 5043320 ideals in 2000000 cliques
  60. Sat Sep 16 07:40:23 2023 commencing in-memory singleton removal
  61. Sat Sep 16 07:40:35 2023 begin with 65938750 relations and 61583903 unique ideals
  62. Sat Sep 16 07:41:48 2023 reduce to 65413784 relations and 56002143 ideals in 7 passes
  63. Sat Sep 16 07:41:48 2023 max relations containing the same ideal: 170
  64. Sat Sep 16 07:42:48 2023 removing 6759352 relations and 4759352 ideals in 2000000 cliques
  65. Sat Sep 16 07:42:53 2023 commencing in-memory singleton removal
  66. Sat Sep 16 07:43:03 2023 begin with 58654432 relations and 56002143 unique ideals
  67. Sat Sep 16 07:44:24 2023 reduce to 58135759 relations and 50709781 ideals in 9 passes
  68. Sat Sep 16 07:44:24 2023 max relations containing the same ideal: 158
  69. Sat Sep 16 07:45:10 2023 removing 6587790 relations and 4587790 ideals in 2000000 cliques
  70. Sat Sep 16 07:45:16 2023 commencing in-memory singleton removal
  71. Sat Sep 16 07:45:23 2023 begin with 51547969 relations and 50709781 unique ideals
  72. Sat Sep 16 07:45:58 2023 reduce to 51008252 relations and 45565921 ideals in 7 passes
  73. Sat Sep 16 07:45:58 2023 max relations containing the same ideal: 147
  74. Sat Sep 16 07:46:36 2023 removing 6483949 relations and 4483949 ideals in 2000000 cliques
  75. Sat Sep 16 07:46:41 2023 commencing in-memory singleton removal
  76. Sat Sep 16 07:46:46 2023 begin with 44524303 relations and 45565921 unique ideals
  77. Sat Sep 16 07:47:21 2023 reduce to 43943144 relations and 40480693 ideals in 8 passes
  78. Sat Sep 16 07:47:21 2023 max relations containing the same ideal: 134
  79. Sat Sep 16 07:47:50 2023 removing 6421331 relations and 4421331 ideals in 2000000 cliques
  80. Sat Sep 16 07:47:53 2023 commencing in-memory singleton removal
  81. Sat Sep 16 07:47:58 2023 begin with 37521813 relations and 40480693 unique ideals
  82. Sat Sep 16 07:48:26 2023 reduce to 36862029 relations and 35373264 ideals in 8 passes
  83. Sat Sep 16 07:48:26 2023 max relations containing the same ideal: 116
  84. Sat Sep 16 07:48:49 2023 removing 3531540 relations and 2583760 ideals in 947780 cliques
  85. Sat Sep 16 07:48:52 2023 commencing in-memory singleton removal
  86. Sat Sep 16 07:48:56 2023 begin with 33330489 relations and 35373264 unique ideals
  87. Sat Sep 16 07:49:18 2023 reduce to 33086944 relations and 32540365 ideals in 7 passes
  88. Sat Sep 16 07:49:18 2023 max relations containing the same ideal: 111
  89. Sat Sep 16 07:49:49 2023 relations with 0 large ideals: 17695
  90. Sat Sep 16 07:49:49 2023 relations with 1 large ideals: 4602
  91. Sat Sep 16 07:49:49 2023 relations with 2 large ideals: 61130
  92. Sat Sep 16 07:49:49 2023 relations with 3 large ideals: 471777
  93. Sat Sep 16 07:49:49 2023 relations with 4 large ideals: 1996526
  94. Sat Sep 16 07:49:49 2023 relations with 5 large ideals: 5096580
  95. Sat Sep 16 07:49:49 2023 relations with 6 large ideals: 8205215
  96. Sat Sep 16 07:49:49 2023 relations with 7+ large ideals: 17233419
  97. Sat Sep 16 07:49:49 2023 commencing 2-way merge
  98. Sat Sep 16 07:50:18 2023 reduce to 22384214 relation sets and 21837635 unique ideals
  99. Sat Sep 16 07:50:18 2023 commencing full merge
  100. Sat Sep 16 08:02:53 2023 memory use: 2852.9 MB
  101. Sat Sep 16 08:02:56 2023 found 10329406 cycles, need 10289835
  102. Sat Sep 16 08:03:02 2023 weight of 10289835 cycles is about 1132254388 (110.04/cycle)
  103. Sat Sep 16 08:03:02 2023 distribution of cycle lengths:
  104. Sat Sep 16 08:03:02 2023 1 relations: 479702
  105. Sat Sep 16 08:03:02 2023 2 relations: 691320
  106. Sat Sep 16 08:03:02 2023 3 relations: 811487
  107. Sat Sep 16 08:03:02 2023 4 relations: 836750
  108. Sat Sep 16 08:03:02 2023 5 relations: 846474
  109. Sat Sep 16 08:03:02 2023 6 relations: 828795
  110. Sat Sep 16 08:03:02 2023 7 relations: 792878
  111. Sat Sep 16 08:03:02 2023 8 relations: 742788
  112. Sat Sep 16 08:03:02 2023 9 relations: 682226
  113. Sat Sep 16 08:03:02 2023 10+ relations: 3577415
  114. Sat Sep 16 08:03:02 2023 heaviest cycle: 28 relations
  115. Sat Sep 16 08:03:07 2023 commencing cycle optimization
  116. Sat Sep 16 08:03:36 2023 start with 84091652 relations
  117. Sat Sep 16 08:08:29 2023 pruned 3802933 relations
  118. Sat Sep 16 08:08:30 2023 memory use: 2247.4 MB
  119. Sat Sep 16 08:08:30 2023 distribution of cycle lengths:
  120. Sat Sep 16 08:08:30 2023 1 relations: 479702
  121. Sat Sep 16 08:08:30 2023 2 relations: 709725
  122. Sat Sep 16 08:08:30 2023 3 relations: 848154
  123. Sat Sep 16 08:08:30 2023 4 relations: 873283
  124. Sat Sep 16 08:08:30 2023 5 relations: 889437
  125. Sat Sep 16 08:08:30 2023 6 relations: 869151
  126. Sat Sep 16 08:08:30 2023 7 relations: 832679
  127. Sat Sep 16 08:08:30 2023 8 relations: 773910
  128. Sat Sep 16 08:08:30 2023 9 relations: 707483
  129. Sat Sep 16 08:08:30 2023 10+ relations: 3306311
  130. Sat Sep 16 08:08:30 2023 heaviest cycle: 28 relations
  131. Sat Sep 16 08:09:04 2023 RelProcTime: 6459
  132. Sat Sep 16 08:09:04 2023 elapsed time 01:47:40
  133. Sat Sep 16 12:10:48 2023
  134. Sat Sep 16 12:10:48 2023
  135. Sat Sep 16 12:10:48 2023 Msieve v. 1.54 (SVN Unversioned directory)
  136. Sat Sep 16 12:10:48 2023 random seeds: d180dbf0 71a2a504
  137. Sat Sep 16 12:10:48 2023 factoring 829635090596726862790237808467253564552492064458703372083291925975337847764773892381565560373140746206162823226176246605984926714202333675056407862105761658121130876598011518902098216398907824168102265894760816813278107728185491957 (231 digits)
  138. Sat Sep 16 12:10:49 2023 no P-1/P+1/ECM available, skipping
  139. Sat Sep 16 12:10:49 2023 commencing number field sieve (231-digit input)
  140. Sat Sep 16 12:10:49 2023 R0: 14447933467932141687924754155587760861601
  141. Sat Sep 16 12:10:49 2023 R1: -1
  142. Sat Sep 16 12:10:49 2023 A0: -104707
  143. Sat Sep 16 12:10:49 2023 A1: 0
  144. Sat Sep 16 12:10:49 2023 A2: 0
  145. Sat Sep 16 12:10:49 2023 A3: 0
  146. Sat Sep 16 12:10:49 2023 A4: 0
  147. Sat Sep 16 12:10:49 2023 A5: 0
  148. Sat Sep 16 12:10:49 2023 A6: 1
  149. Sat Sep 16 12:10:49 2023 skew 8.80, size 4.158e-12, alpha -0.386, combined = 3.434e-13 rroots = 2
  150. Sat Sep 16 12:10:49 2023
  151. Sat Sep 16 12:10:49 2023 commencing linear algebra
  152. Sat Sep 16 12:10:49 2023 using VBITS=256
  153. Sat Sep 16 12:10:51 2023 read 10289586 cycles
  154. Sat Sep 16 12:11:18 2023 cycles contain 32765338 unique relations
  155. Sat Sep 16 12:14:57 2023 read 32765338 relations
  156. Sat Sep 16 12:16:24 2023 using 20 quadratic characters above 4294917295
  157. Sat Sep 16 12:19:22 2023 building initial matrix
  158. Sat Sep 16 12:28:51 2023 memory use: 4301.1 MB
  159. Sat Sep 16 12:28:57 2023 read 10289586 cycles
  160. Sat Sep 16 12:28:58 2023 matrix is 10289425 x 10289586 (4430.3 MB) with weight 1287881567 (125.16/col)
  161. Sat Sep 16 12:28:58 2023 sparse part has weight 1058483340 (102.87/col)
  162. Sat Sep 16 12:30:28 2023 filtering completed in 1 passes
  163. Sat Sep 16 12:30:30 2023 matrix is 10289425 x 10289586 (4430.3 MB) with weight 1287881567 (125.16/col)
  164. Sat Sep 16 12:30:30 2023 sparse part has weight 1058483340 (102.87/col)
  165. Sat Sep 16 12:31:01 2023 matrix starts at (0, 0)
  166. Sat Sep 16 12:31:02 2023 matrix is 10289425 x 10289586 (4430.3 MB) with weight 1287881567 (125.16/col)
  167. Sat Sep 16 12:31:02 2023 sparse part has weight 1058483340 (102.87/col)
  168. Sat Sep 16 12:31:02 2023 saving the first 240 matrix rows for later
  169. Sat Sep 16 12:31:04 2023 matrix includes 256 packed rows
  170. Sat Sep 16 12:31:10 2023 matrix is 10289185 x 10289586 (4084.3 MB) with weight 956694679 (92.98/col)
  171. Sat Sep 16 12:31:10 2023 sparse part has weight 906040147 (88.05/col)
  172. Sat Sep 16 12:31:10 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  173. Sat Sep 16 12:31:10 2023 selected card has CUDA arch 8.6
  174. Sat Sep 16 12:32:45 2023 commencing Lanczos iteration
  175. Sat Sep 16 12:32:46 2023 memory use: 9699.4 MB
  176. Sat Sep 16 12:33:06 2023 linear algebra at 0.1%, ETA 7h 5m
  177. Sat Sep 16 12:33:07 2023 checkpointing every 1430000 dimensions
  178. Sat Sep 16 19:32:28 2023 lanczos halted after 40314 iterations (dim = 10289181)
  179. Sat Sep 16 19:33:41 2023 recovered 31 nontrivial dependencies
  180. Sat Sep 16 19:33:41 2023 BLanczosTime: 26572
  181. Sat Sep 16 19:33:41 2023
  182. Sat Sep 16 19:33:41 2023 commencing square root phase
  183. Sat Sep 16 19:33:41 2023 handling dependencies 1 to 64
  184. Sat Sep 16 19:33:41 2023 reading relations for dependency 1
  185. Sat Sep 16 19:33:44 2023 read 5147106 cycles
  186. Sat Sep 16 19:33:55 2023 cycles contain 16391682 unique relations
  187. Sat Sep 16 19:36:20 2023 read 16391682 relations
  188. Sat Sep 16 19:38:30 2023 multiplying 16391682 relations
  189. Sat Sep 16 19:54:47 2023 multiply complete, coefficients have about 430.55 million bits
  190. Sat Sep 16 19:54:49 2023 initial square root is modulo 53133181
  191. Sat Sep 16 20:12:51 2023 GCD is N, no factor found
  192. Sat Sep 16 20:12:51 2023 reading relations for dependency 2
  193. Sat Sep 16 20:12:53 2023 read 5145306 cycles
  194. Sat Sep 16 20:13:09 2023 cycles contain 16380246 unique relations
  195. Sat Sep 16 20:15:18 2023 read 16380246 relations
  196. Sat Sep 16 20:17:39 2023 multiplying 16380246 relations
  197. Sat Sep 16 20:31:35 2023 multiply complete, coefficients have about 430.22 million bits
  198. Sat Sep 16 20:31:36 2023 initial square root is modulo 52432447
  199. Sat Sep 16 20:48:32 2023 GCD is 1, no factor found
  200. Sat Sep 16 20:48:32 2023 reading relations for dependency 3
  201. Sat Sep 16 20:48:35 2023 read 5145431 cycles
  202. Sat Sep 16 20:48:50 2023 cycles contain 16380180 unique relations
  203. Sat Sep 16 20:51:01 2023 read 16380180 relations
  204. Sat Sep 16 20:53:18 2023 multiplying 16380180 relations
  205. Sat Sep 16 21:09:40 2023 multiply complete, coefficients have about 430.22 million bits
  206. Sat Sep 16 21:09:42 2023 initial square root is modulo 52430569
  207. Sat Sep 16 21:27:32 2023 GCD is N, no factor found
  208. Sat Sep 16 21:27:32 2023 reading relations for dependency 4
  209. Sat Sep 16 21:27:34 2023 read 5142711 cycles
  210. Sat Sep 16 21:27:50 2023 cycles contain 16378984 unique relations
  211. Sat Sep 16 21:29:59 2023 read 16378984 relations
  212. Sat Sep 16 21:32:14 2023 multiplying 16378984 relations
  213. Sat Sep 16 21:48:02 2023 multiply complete, coefficients have about 430.20 million bits
  214. Sat Sep 16 21:48:04 2023 initial square root is modulo 52377043
  215. Sat Sep 16 22:05:39 2023 sqrtTime: 9118
  216. Sat Sep 16 22:05:39 2023 p86 factor: 46637720356652916167558475526166856687943971918316416968333924788682429633407699397273
  217. Sat Sep 16 22:05:39 2023 p146 factor: 17788928881005621670233451010062233625813369349578234516783056875126590463908666844136789612803353477943985083159173636288328504448778542638360509
  218. Sat Sep 16 22:05:39 2023 elapsed time 09:54:51
  219.  
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