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Sep 28th, 2023
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  1. Thu Sep 28 07:10:38 2023
  2. Thu Sep 28 07:10:38 2023
  3. Thu Sep 28 07:10:38 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Sep 28 07:10:38 2023 random seeds: f097bdd4 6d4bc726
  5. Thu Sep 28 07:10:38 2023 factoring 700706919502228273888875064039382816975173117157003952750288816896826652589457874700320814529353252585688752237927575802362873822053352707109492008394251465913868305257285097124363499502112688055253265724481 (207 digits)
  6. Thu Sep 28 07:10:39 2023 no P-1/P+1/ECM available, skipping
  7. Thu Sep 28 07:10:39 2023 commencing number field sieve (207-digit input)
  8. Thu Sep 28 07:10:39 2023 R0: 3919910244186307267600443325138475761559792113385217139
  9. Thu Sep 28 07:10:39 2023 R1: -1
  10. Thu Sep 28 07:10:39 2023 A0: 1
  11. Thu Sep 28 07:10:39 2023 A1: 1
  12. Thu Sep 28 07:10:39 2023 A2: 1
  13. Thu Sep 28 07:10:39 2023 A3: 1
  14. Thu Sep 28 07:10:39 2023 A4: 1
  15. Thu Sep 28 07:10:39 2023 skew 1.95, size 2.976e-22, alpha 1.694, combined = 2.892e-13 rroots = 0
  16. Thu Sep 28 07:10:39 2023
  17. Thu Sep 28 07:10:39 2023 commencing relation filtering
  18. Thu Sep 28 07:10:39 2023 setting target matrix density to 112.0
  19. Thu Sep 28 07:10:39 2023 estimated available RAM is 15960.0 MB
  20. Thu Sep 28 07:10:39 2023 commencing duplicate removal, pass 1
  21. Thu Sep 28 07:30:09 2023 skipped 283 relations with b > 2^32
  22. Thu Sep 28 07:30:09 2023 found 4961813 hash collisions in 106637260 relations
  23. Thu Sep 28 07:30:19 2023 added 3657736 free relations
  24. Thu Sep 28 07:30:19 2023 commencing duplicate removal, pass 2
  25. Thu Sep 28 07:31:11 2023 found 0 duplicates and 110294996 unique relations
  26. Thu Sep 28 07:31:11 2023 memory use: 261.2 MB
  27. Thu Sep 28 07:31:11 2023 reading ideals above 75825152
  28. Thu Sep 28 07:31:11 2023 commencing singleton removal, initial pass
  29. Thu Sep 28 07:45:47 2023 memory use: 2756.0 MB
  30. Thu Sep 28 07:45:47 2023 reading all ideals from disk
  31. Thu Sep 28 07:45:52 2023 memory use: 2011.9 MB
  32. Thu Sep 28 07:45:59 2023 commencing in-memory singleton removal
  33. Thu Sep 28 07:46:06 2023 begin with 110294996 relations and 84405125 unique ideals
  34. Thu Sep 28 07:47:09 2023 reduce to 82199632 relations and 54116577 ideals in 11 passes
  35. Thu Sep 28 07:47:09 2023 max relations containing the same ideal: 59
  36. Thu Sep 28 07:47:16 2023 reading ideals above 720000
  37. Thu Sep 28 07:47:16 2023 commencing singleton removal, initial pass
  38. Thu Sep 28 08:00:49 2023 memory use: 1506.0 MB
  39. Thu Sep 28 08:00:50 2023 reading all ideals from disk
  40. Thu Sep 28 08:00:58 2023 memory use: 3166.4 MB
  41. Thu Sep 28 08:01:12 2023 keeping 62555385 ideals with weight <= 200, target excess is 440303
  42. Thu Sep 28 08:01:27 2023 commencing in-memory singleton removal
  43. Thu Sep 28 08:01:37 2023 begin with 82199632 relations and 62555385 unique ideals
  44. Thu Sep 28 08:02:22 2023 reduce to 82198852 relations and 62554604 ideals in 5 passes
  45. Thu Sep 28 08:02:22 2023 max relations containing the same ideal: 200
  46. Thu Sep 28 08:03:18 2023 removing 7756651 relations and 5756651 ideals in 2000000 cliques
  47. Thu Sep 28 08:03:23 2023 commencing in-memory singleton removal
  48. Thu Sep 28 08:03:34 2023 begin with 74442201 relations and 62554604 unique ideals
  49. Thu Sep 28 08:04:38 2023 reduce to 73806086 relations and 56142146 ideals in 7 passes
  50. Thu Sep 28 08:04:38 2023 max relations containing the same ideal: 194
  51. Thu Sep 28 08:05:31 2023 removing 6260954 relations and 4260954 ideals in 2000000 cliques
  52. Thu Sep 28 08:05:36 2023 commencing in-memory singleton removal
  53. Thu Sep 28 08:05:44 2023 begin with 67545132 relations and 56142146 unique ideals
  54. Thu Sep 28 08:06:32 2023 reduce to 67099786 relations and 51423486 ideals in 6 passes
  55. Thu Sep 28 08:06:32 2023 max relations containing the same ideal: 186
  56. Thu Sep 28 08:07:19 2023 removing 5874799 relations and 3874799 ideals in 2000000 cliques
  57. Thu Sep 28 08:07:23 2023 commencing in-memory singleton removal
  58. Thu Sep 28 08:07:31 2023 begin with 61224987 relations and 51423486 unique ideals
  59. Thu Sep 28 08:08:17 2023 reduce to 60818777 relations and 47131172 ideals in 7 passes
  60. Thu Sep 28 08:08:17 2023 max relations containing the same ideal: 174
  61. Thu Sep 28 08:08:59 2023 removing 5693308 relations and 3693308 ideals in 2000000 cliques
  62. Thu Sep 28 08:09:03 2023 commencing in-memory singleton removal
  63. Thu Sep 28 08:09:10 2023 begin with 55125469 relations and 47131172 unique ideals
  64. Thu Sep 28 08:09:55 2023 reduce to 54724858 relations and 43025166 ideals in 7 passes
  65. Thu Sep 28 08:09:55 2023 max relations containing the same ideal: 162
  66. Thu Sep 28 08:10:35 2023 removing 5598292 relations and 3598292 ideals in 2000000 cliques
  67. Thu Sep 28 08:10:39 2023 commencing in-memory singleton removal
  68. Thu Sep 28 08:10:46 2023 begin with 49126566 relations and 43025166 unique ideals
  69. Thu Sep 28 08:11:18 2023 reduce to 48707056 relations and 38993669 ideals in 6 passes
  70. Thu Sep 28 08:11:18 2023 max relations containing the same ideal: 150
  71. Thu Sep 28 08:11:54 2023 removing 5556613 relations and 3556613 ideals in 2000000 cliques
  72. Thu Sep 28 08:11:57 2023 commencing in-memory singleton removal
  73. Thu Sep 28 08:12:02 2023 begin with 43150443 relations and 38993669 unique ideals
  74. Thu Sep 28 08:12:34 2023 reduce to 42695952 relations and 34965962 ideals in 7 passes
  75. Thu Sep 28 08:12:34 2023 max relations containing the same ideal: 138
  76. Thu Sep 28 08:13:03 2023 removing 5564017 relations and 3564017 ideals in 2000000 cliques
  77. Thu Sep 28 08:13:06 2023 commencing in-memory singleton removal
  78. Thu Sep 28 08:13:10 2023 begin with 37131935 relations and 34965962 unique ideals
  79. Thu Sep 28 08:13:37 2023 reduce to 36614186 relations and 30862906 ideals in 7 passes
  80. Thu Sep 28 08:13:37 2023 max relations containing the same ideal: 125
  81. Thu Sep 28 08:14:02 2023 removing 5607607 relations and 3607607 ideals in 2000000 cliques
  82. Thu Sep 28 08:14:06 2023 commencing in-memory singleton removal
  83. Thu Sep 28 08:14:09 2023 begin with 31006579 relations and 30862906 unique ideals
  84. Thu Sep 28 08:14:35 2023 reduce to 30390900 relations and 26610272 ideals in 8 passes
  85. Thu Sep 28 08:14:35 2023 max relations containing the same ideal: 110
  86. Thu Sep 28 08:14:56 2023 removing 5702905 relations and 3702905 ideals in 2000000 cliques
  87. Thu Sep 28 08:15:00 2023 commencing in-memory singleton removal
  88. Thu Sep 28 08:15:02 2023 begin with 24687995 relations and 26610272 unique ideals
  89. Thu Sep 28 08:15:23 2023 reduce to 23908705 relations and 22083553 ideals in 8 passes
  90. Thu Sep 28 08:15:23 2023 max relations containing the same ideal: 92
  91. Thu Sep 28 08:15:40 2023 removing 4167482 relations and 2853082 ideals in 1314400 cliques
  92. Thu Sep 28 08:15:43 2023 commencing in-memory singleton removal
  93. Thu Sep 28 08:15:45 2023 begin with 19741223 relations and 22083553 unique ideals
  94. Thu Sep 28 08:16:03 2023 reduce to 19166718 relations and 18627475 ideals in 9 passes
  95. Thu Sep 28 08:16:03 2023 max relations containing the same ideal: 80
  96. Thu Sep 28 08:16:18 2023 removing 187626 relations and 159135 ideals in 28491 cliques
  97. Thu Sep 28 08:16:19 2023 commencing in-memory singleton removal
  98. Thu Sep 28 08:16:21 2023 begin with 18979092 relations and 18627475 unique ideals
  99. Thu Sep 28 08:16:31 2023 reduce to 18977950 relations and 18467195 ideals in 5 passes
  100. Thu Sep 28 08:16:31 2023 max relations containing the same ideal: 79
  101. Thu Sep 28 08:16:37 2023 relations with 0 large ideals: 35350
  102. Thu Sep 28 08:16:37 2023 relations with 1 large ideals: 4569
  103. Thu Sep 28 08:16:37 2023 relations with 2 large ideals: 49431
  104. Thu Sep 28 08:16:37 2023 relations with 3 large ideals: 360812
  105. Thu Sep 28 08:16:37 2023 relations with 4 large ideals: 1454541
  106. Thu Sep 28 08:16:37 2023 relations with 5 large ideals: 4132013
  107. Thu Sep 28 08:16:37 2023 relations with 6 large ideals: 4883415
  108. Thu Sep 28 08:16:37 2023 relations with 7+ large ideals: 8057819
  109. Thu Sep 28 08:16:37 2023 commencing 2-way merge
  110. Thu Sep 28 08:16:56 2023 reduce to 12647745 relation sets and 12136990 unique ideals
  111. Thu Sep 28 08:16:56 2023 commencing full merge
  112. Thu Sep 28 08:24:56 2023 memory use: 1590.0 MB
  113. Thu Sep 28 08:24:58 2023 found 5734439 cycles, need 5721190
  114. Thu Sep 28 08:25:01 2023 weight of 5721190 cycles is about 640835375 (112.01/cycle)
  115. Thu Sep 28 08:25:01 2023 distribution of cycle lengths:
  116. Thu Sep 28 08:25:01 2023 1 relations: 274790
  117. Thu Sep 28 08:25:01 2023 2 relations: 344101
  118. Thu Sep 28 08:25:01 2023 3 relations: 392537
  119. Thu Sep 28 08:25:01 2023 4 relations: 410247
  120. Thu Sep 28 08:25:01 2023 5 relations: 421890
  121. Thu Sep 28 08:25:01 2023 6 relations: 418249
  122. Thu Sep 28 08:25:01 2023 7 relations: 409508
  123. Thu Sep 28 08:25:01 2023 8 relations: 391196
  124. Thu Sep 28 08:25:01 2023 9 relations: 366370
  125. Thu Sep 28 08:25:01 2023 10+ relations: 2292302
  126. Thu Sep 28 08:25:01 2023 heaviest cycle: 28 relations
  127. Thu Sep 28 08:25:03 2023 commencing cycle optimization
  128. Thu Sep 28 08:25:21 2023 start with 51167896 relations
  129. Thu Sep 28 08:28:37 2023 pruned 2559365 relations
  130. Thu Sep 28 08:28:37 2023 memory use: 1312.0 MB
  131. Thu Sep 28 08:28:37 2023 distribution of cycle lengths:
  132. Thu Sep 28 08:28:37 2023 1 relations: 274790
  133. Thu Sep 28 08:28:37 2023 2 relations: 351283
  134. Thu Sep 28 08:28:37 2023 3 relations: 409095
  135. Thu Sep 28 08:28:37 2023 4 relations: 428544
  136. Thu Sep 28 08:28:37 2023 5 relations: 444950
  137. Thu Sep 28 08:28:37 2023 6 relations: 441440
  138. Thu Sep 28 08:28:37 2023 7 relations: 434373
  139. Thu Sep 28 08:28:37 2023 8 relations: 412484
  140. Thu Sep 28 08:28:37 2023 9 relations: 385706
  141. Thu Sep 28 08:28:37 2023 10+ relations: 2138525
  142. Thu Sep 28 08:28:37 2023 heaviest cycle: 28 relations
  143. Thu Sep 28 08:28:56 2023 RelProcTime: 4697
  144. Thu Sep 28 08:28:56 2023 elapsed time 01:18:18
  145. Thu Sep 28 08:45:04 2023
  146. Thu Sep 28 08:45:04 2023
  147. Thu Sep 28 08:45:04 2023 Msieve v. 1.54 (SVN Unversioned directory)
  148. Thu Sep 28 08:45:04 2023 random seeds: 609728ef 895ffb33
  149. Thu Sep 28 08:45:04 2023 factoring 700706919502228273888875064039382816975173117157003952750288816896826652589457874700320814529353252585688752237927575802362873822053352707109492008394251465913868305257285097124363499502112688055253265724481 (207 digits)
  150. Thu Sep 28 08:45:05 2023 no P-1/P+1/ECM available, skipping
  151. Thu Sep 28 08:45:05 2023 commencing number field sieve (207-digit input)
  152. Thu Sep 28 08:45:05 2023 R0: 3919910244186307267600443325138475761559792113385217139
  153. Thu Sep 28 08:45:05 2023 R1: -1
  154. Thu Sep 28 08:45:05 2023 A0: 1
  155. Thu Sep 28 08:45:05 2023 A1: 1
  156. Thu Sep 28 08:45:05 2023 A2: 1
  157. Thu Sep 28 08:45:05 2023 A3: 1
  158. Thu Sep 28 08:45:05 2023 A4: 1
  159. Thu Sep 28 08:45:05 2023 skew 1.95, size 2.976e-22, alpha 1.694, combined = 2.892e-13 rroots = 0
  160. Thu Sep 28 08:45:05 2023
  161. Thu Sep 28 08:45:05 2023 commencing linear algebra
  162. Thu Sep 28 08:45:05 2023 using VBITS=512
  163. Thu Sep 28 08:45:06 2023 read 5721190 cycles
  164. Thu Sep 28 08:45:26 2023 cycles contain 18698962 unique relations
  165. Thu Sep 28 08:47:52 2023 read 18698962 relations
  166. Thu Sep 28 08:48:45 2023 using 20 quadratic characters above 4294917295
  167. Thu Sep 28 08:50:51 2023 building initial matrix
  168. Thu Sep 28 08:55:58 2023 memory use: 2382.4 MB
  169. Thu Sep 28 08:56:02 2023 read 5721190 cycles
  170. Thu Sep 28 08:56:03 2023 matrix is 5721013 x 5721190 (2527.2 MB) with weight 724227646 (126.59/col)
  171. Thu Sep 28 08:56:03 2023 sparse part has weight 599562009 (104.80/col)
  172. Thu Sep 28 08:57:50 2023 filtering completed in 2 passes
  173. Thu Sep 28 08:57:51 2023 matrix is 5720906 x 5721038 (2527.2 MB) with weight 724223742 (126.59/col)
  174. Thu Sep 28 08:57:51 2023 sparse part has weight 599560981 (104.80/col)
  175. Thu Sep 28 08:58:12 2023 matrix starts at (0, 0)
  176. Thu Sep 28 08:58:13 2023 matrix is 5720906 x 5721038 (2527.2 MB) with weight 724223742 (126.59/col)
  177. Thu Sep 28 08:58:13 2023 sparse part has weight 599560981 (104.80/col)
  178. Thu Sep 28 08:58:13 2023 saving the first 496 matrix rows for later
  179. Thu Sep 28 08:58:15 2023 matrix includes 512 packed rows
  180. Thu Sep 28 08:58:21 2023 matrix is 5720410 x 5721038 (2385.7 MB) with weight 516017665 (90.20/col)
  181. Thu Sep 28 08:58:21 2023 sparse part has weight 488085651 (85.31/col)
  182. Thu Sep 28 08:58:21 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  183. Thu Sep 28 08:58:21 2023 selected card has CUDA arch 8.6
  184. Thu Sep 28 08:59:16 2023 commencing Lanczos iteration
  185. Thu Sep 28 08:59:18 2023 memory use: 6604.6 MB
  186. Thu Sep 28 09:00:02 2023 linear algebra at 0.3%, ETA 4h32m
  187. Thu Sep 28 09:00:03 2023 checkpointing every 1270000 dimensions
  188. Thu Sep 28 11:08:37 2023 lanczos halted after 11191 iterations (dim = 5720406)
  189. Thu Sep 28 11:11:00 2023 recovered 34 nontrivial dependencies
  190. Thu Sep 28 11:11:01 2023 BLanczosTime: 8756
  191. Thu Sep 28 11:11:01 2023
  192. Thu Sep 28 11:11:01 2023 commencing square root phase
  193. Thu Sep 28 11:11:01 2023 handling dependencies 1 to 64
  194. Thu Sep 28 11:11:01 2023 reading relations for dependency 1
  195. Thu Sep 28 11:11:02 2023 read 2859699 cycles
  196. Thu Sep 28 11:11:12 2023 cycles contain 9347578 unique relations
  197. Thu Sep 28 11:12:31 2023 read 9347578 relations
  198. Thu Sep 28 11:13:34 2023 multiplying 9347578 relations
  199. Thu Sep 28 11:17:04 2023 multiply complete, coefficients have about 243.03 million bits
  200. Thu Sep 28 11:17:06 2023 initial square root is modulo 526886147
  201. Thu Sep 28 11:21:45 2023 sqrtTime: 644
  202. Thu Sep 28 11:21:45 2023 p65 factor: 29324459983564555014703008712135100164222712619910221817209197981
  203. Thu Sep 28 11:21:45 2023 p143 factor: 23894964132159727487177296037457237577423598810109337971316018651109562315747786142816894423366870722535983818704607540059621481494882022656501
  204. Thu Sep 28 11:21:45 2023 elapsed time 02:36:41
  205.  
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