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Aug 17th, 2024
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  1. Sat Aug 17 10:14:05 2024
  2. Sat Aug 17 10:14:05 2024
  3. Sat Aug 17 10:14:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Aug 17 10:14:05 2024 random seeds: 1fd32d24 82d73958
  5. Sat Aug 17 10:14:05 2024 factoring 723715215319531553420860887746830893711204952902444856654566860376296848387754054013762730464437918884693156825830324730333210558116465189965544079886194853253420939812855697788606766623015040797351359054892128542674581 (219 digits)
  6. Sat Aug 17 10:14:06 2024 no P-1/P+1/ECM available, skipping
  7. Sat Aug 17 10:14:06 2024 commencing number field sieve (219-digit input)
  8. Sat Aug 17 10:14:06 2024 R0: 4594643739424467727808521911310466162
  9. Sat Aug 17 10:14:06 2024 R1: -2143512010562214631
  10. Sat Aug 17 10:14:06 2024 A0: -1
  11. Sat Aug 17 10:14:06 2024 A1: 3
  12. Sat Aug 17 10:14:06 2024 A2: 6
  13. Sat Aug 17 10:14:06 2024 A3: -4
  14. Sat Aug 17 10:14:06 2024 A4: -5
  15. Sat Aug 17 10:14:06 2024 A5: 1
  16. Sat Aug 17 10:14:06 2024 A6: 1
  17. Sat Aug 17 10:14:06 2024 skew 1.00, size 7.548e-11, alpha 3.126, combined = 2.690e-12 rroots = 6
  18. Sat Aug 17 10:14:06 2024
  19. Sat Aug 17 10:14:06 2024 commencing relation filtering
  20. Sat Aug 17 10:14:06 2024 setting target matrix density to 120.0
  21. Sat Aug 17 10:14:06 2024 estimated available RAM is 15960.0 MB
  22. Sat Aug 17 10:14:06 2024 commencing duplicate removal, pass 1
  23. Sat Aug 17 10:30:14 2024 skipped 7 relations with b > 2^32
  24. Sat Aug 17 10:30:14 2024 found 6256297 hash collisions in 120272238 relations
  25. Sat Aug 17 10:30:14 2024 commencing duplicate removal, pass 2
  26. Sat Aug 17 10:31:01 2024 found 0 duplicates and 120272238 unique relations
  27. Sat Aug 17 10:31:01 2024 memory use: 378.4 MB
  28. Sat Aug 17 10:31:01 2024 reading ideals above 59965440
  29. Sat Aug 17 10:31:01 2024 commencing singleton removal, initial pass
  30. Sat Aug 17 10:43:55 2024 memory use: 2756.0 MB
  31. Sat Aug 17 10:43:55 2024 reading all ideals from disk
  32. Sat Aug 17 10:44:00 2024 memory use: 2115.6 MB
  33. Sat Aug 17 10:44:06 2024 commencing in-memory singleton removal
  34. Sat Aug 17 10:44:13 2024 begin with 120272238 relations and 86917872 unique ideals
  35. Sat Aug 17 10:45:07 2024 reduce to 91222764 relations and 55709910 ideals in 10 passes
  36. Sat Aug 17 10:45:07 2024 max relations containing the same ideal: 70
  37. Sat Aug 17 10:45:13 2024 reading ideals above 720000
  38. Sat Aug 17 10:45:14 2024 commencing singleton removal, initial pass
  39. Sat Aug 17 10:57:37 2024 memory use: 1506.0 MB
  40. Sat Aug 17 10:57:37 2024 reading all ideals from disk
  41. Sat Aug 17 10:57:43 2024 memory use: 3361.4 MB
  42. Sat Aug 17 10:57:53 2024 keeping 62368673 ideals with weight <= 200, target excess is 461431
  43. Sat Aug 17 10:58:05 2024 commencing in-memory singleton removal
  44. Sat Aug 17 10:58:14 2024 begin with 91222764 relations and 62368673 unique ideals
  45. Sat Aug 17 10:58:22 2024 reduce to 91222764 relations and 62368673 ideals in 1 passes
  46. Sat Aug 17 10:58:22 2024 max relations containing the same ideal: 200
  47. Sat Aug 17 10:59:09 2024 removing 7149494 relations and 5149494 ideals in 2000000 cliques
  48. Sat Aug 17 10:59:13 2024 commencing in-memory singleton removal
  49. Sat Aug 17 10:59:21 2024 begin with 84073270 relations and 62368673 unique ideals
  50. Sat Aug 17 11:00:06 2024 reduce to 83602462 relations and 56735218 ideals in 6 passes
  51. Sat Aug 17 11:00:06 2024 max relations containing the same ideal: 197
  52. Sat Aug 17 11:00:49 2024 removing 5876729 relations and 3876729 ideals in 2000000 cliques
  53. Sat Aug 17 11:00:53 2024 commencing in-memory singleton removal
  54. Sat Aug 17 11:01:00 2024 begin with 77725733 relations and 56735218 unique ideals
  55. Sat Aug 17 11:01:48 2024 reduce to 77407723 relations and 52532503 ideals in 7 passes
  56. Sat Aug 17 11:01:48 2024 max relations containing the same ideal: 189
  57. Sat Aug 17 11:02:26 2024 removing 5498103 relations and 3498103 ideals in 2000000 cliques
  58. Sat Aug 17 11:02:30 2024 commencing in-memory singleton removal
  59. Sat Aug 17 11:02:37 2024 begin with 71909620 relations and 52532503 unique ideals
  60. Sat Aug 17 11:03:14 2024 reduce to 71636634 relations and 48754558 ideals in 6 passes
  61. Sat Aug 17 11:03:14 2024 max relations containing the same ideal: 181
  62. Sat Aug 17 11:03:51 2024 removing 5297195 relations and 3297195 ideals in 2000000 cliques
  63. Sat Aug 17 11:03:54 2024 commencing in-memory singleton removal
  64. Sat Aug 17 11:04:01 2024 begin with 66339439 relations and 48754558 unique ideals
  65. Sat Aug 17 11:04:34 2024 reduce to 66087074 relations and 45198595 ideals in 6 passes
  66. Sat Aug 17 11:04:34 2024 max relations containing the same ideal: 172
  67. Sat Aug 17 11:05:08 2024 removing 5164917 relations and 3164917 ideals in 2000000 cliques
  68. Sat Aug 17 11:05:10 2024 commencing in-memory singleton removal
  69. Sat Aug 17 11:05:16 2024 begin with 60922157 relations and 45198595 unique ideals
  70. Sat Aug 17 11:05:46 2024 reduce to 60679653 relations and 41784365 ideals in 6 passes
  71. Sat Aug 17 11:05:46 2024 max relations containing the same ideal: 164
  72. Sat Aug 17 11:06:17 2024 removing 5073048 relations and 3073048 ideals in 2000000 cliques
  73. Sat Aug 17 11:06:20 2024 commencing in-memory singleton removal
  74. Sat Aug 17 11:06:25 2024 begin with 55606605 relations and 41784365 unique ideals
  75. Sat Aug 17 11:06:53 2024 reduce to 55364924 relations and 38462486 ideals in 6 passes
  76. Sat Aug 17 11:06:53 2024 max relations containing the same ideal: 154
  77. Sat Aug 17 11:07:21 2024 removing 5001273 relations and 3001273 ideals in 2000000 cliques
  78. Sat Aug 17 11:07:23 2024 commencing in-memory singleton removal
  79. Sat Aug 17 11:07:28 2024 begin with 50363651 relations and 38462486 unique ideals
  80. Sat Aug 17 11:07:53 2024 reduce to 50116940 relations and 35206975 ideals in 6 passes
  81. Sat Aug 17 11:07:53 2024 max relations containing the same ideal: 146
  82. Sat Aug 17 11:08:19 2024 removing 4951237 relations and 2951237 ideals in 2000000 cliques
  83. Sat Aug 17 11:08:21 2024 commencing in-memory singleton removal
  84. Sat Aug 17 11:08:25 2024 begin with 45165703 relations and 35206975 unique ideals
  85. Sat Aug 17 11:08:47 2024 reduce to 44909024 relations and 31990462 ideals in 6 passes
  86. Sat Aug 17 11:08:47 2024 max relations containing the same ideal: 136
  87. Sat Aug 17 11:09:09 2024 removing 4912609 relations and 2912609 ideals in 2000000 cliques
  88. Sat Aug 17 11:09:12 2024 commencing in-memory singleton removal
  89. Sat Aug 17 11:09:15 2024 begin with 39996415 relations and 31990462 unique ideals
  90. Sat Aug 17 11:09:34 2024 reduce to 39722954 relations and 28794337 ideals in 6 passes
  91. Sat Aug 17 11:09:34 2024 max relations containing the same ideal: 123
  92. Sat Aug 17 11:09:55 2024 removing 4884744 relations and 2884744 ideals in 2000000 cliques
  93. Sat Aug 17 11:09:57 2024 commencing in-memory singleton removal
  94. Sat Aug 17 11:10:00 2024 begin with 34838210 relations and 28794337 unique ideals
  95. Sat Aug 17 11:10:17 2024 reduce to 34539068 relations and 25598312 ideals in 6 passes
  96. Sat Aug 17 11:10:17 2024 max relations containing the same ideal: 110
  97. Sat Aug 17 11:10:34 2024 removing 4863618 relations and 2863618 ideals in 2000000 cliques
  98. Sat Aug 17 11:10:36 2024 commencing in-memory singleton removal
  99. Sat Aug 17 11:10:39 2024 begin with 29675450 relations and 25598312 unique ideals
  100. Sat Aug 17 11:10:53 2024 reduce to 29342022 relations and 22385923 ideals in 6 passes
  101. Sat Aug 17 11:10:53 2024 max relations containing the same ideal: 103
  102. Sat Aug 17 11:11:08 2024 removing 4852719 relations and 2852719 ideals in 2000000 cliques
  103. Sat Aug 17 11:11:10 2024 commencing in-memory singleton removal
  104. Sat Aug 17 11:11:12 2024 begin with 24489303 relations and 22385923 unique ideals
  105. Sat Aug 17 11:11:23 2024 reduce to 24108573 relations and 19132318 ideals in 6 passes
  106. Sat Aug 17 11:11:23 2024 max relations containing the same ideal: 89
  107. Sat Aug 17 11:11:35 2024 removing 4840882 relations and 2840882 ideals in 2000000 cliques
  108. Sat Aug 17 11:11:37 2024 commencing in-memory singleton removal
  109. Sat Aug 17 11:11:39 2024 begin with 19267691 relations and 19132318 unique ideals
  110. Sat Aug 17 11:11:48 2024 reduce to 18819310 relations and 15814228 ideals in 7 passes
  111. Sat Aug 17 11:11:48 2024 max relations containing the same ideal: 78
  112. Sat Aug 17 11:11:58 2024 removing 4819701 relations and 2819701 ideals in 2000000 cliques
  113. Sat Aug 17 11:11:59 2024 commencing in-memory singleton removal
  114. Sat Aug 17 11:12:00 2024 begin with 13999609 relations and 15814228 unique ideals
  115. Sat Aug 17 11:12:08 2024 reduce to 13432872 relations and 12382031 ideals in 8 passes
  116. Sat Aug 17 11:12:08 2024 max relations containing the same ideal: 58
  117. Sat Aug 17 11:12:15 2024 removing 1507039 relations and 991458 ideals in 515581 cliques
  118. Sat Aug 17 11:12:16 2024 commencing in-memory singleton removal
  119. Sat Aug 17 11:12:17 2024 begin with 11925833 relations and 12382031 unique ideals
  120. Sat Aug 17 11:12:23 2024 reduce to 11735364 relations and 11191964 ideals in 7 passes
  121. Sat Aug 17 11:12:23 2024 max relations containing the same ideal: 54
  122. Sat Aug 17 11:12:28 2024 removing 44924 relations and 36784 ideals in 8140 cliques
  123. Sat Aug 17 11:12:29 2024 commencing in-memory singleton removal
  124. Sat Aug 17 11:12:30 2024 begin with 11690440 relations and 11191964 unique ideals
  125. Sat Aug 17 11:12:33 2024 reduce to 11690247 relations and 11154987 ideals in 4 passes
  126. Sat Aug 17 11:12:33 2024 max relations containing the same ideal: 54
  127. Sat Aug 17 11:12:36 2024 relations with 0 large ideals: 34132
  128. Sat Aug 17 11:12:36 2024 relations with 1 large ideals: 13890
  129. Sat Aug 17 11:12:36 2024 relations with 2 large ideals: 126126
  130. Sat Aug 17 11:12:36 2024 relations with 3 large ideals: 663697
  131. Sat Aug 17 11:12:36 2024 relations with 4 large ideals: 1835292
  132. Sat Aug 17 11:12:36 2024 relations with 5 large ideals: 2951039
  133. Sat Aug 17 11:12:36 2024 relations with 6 large ideals: 2928027
  134. Sat Aug 17 11:12:36 2024 relations with 7+ large ideals: 3138044
  135. Sat Aug 17 11:12:36 2024 commencing 2-way merge
  136. Sat Aug 17 11:12:44 2024 reduce to 8410397 relation sets and 7875137 unique ideals
  137. Sat Aug 17 11:12:44 2024 commencing full merge
  138. Sat Aug 17 11:16:10 2024 memory use: 1047.5 MB
  139. Sat Aug 17 11:16:11 2024 found 3734877 cycles, need 3719337
  140. Sat Aug 17 11:16:13 2024 weight of 3719337 cycles is about 446391050 (120.02/cycle)
  141. Sat Aug 17 11:16:13 2024 distribution of cycle lengths:
  142. Sat Aug 17 11:16:13 2024 1 relations: 98452
  143. Sat Aug 17 11:16:13 2024 2 relations: 168217
  144. Sat Aug 17 11:16:13 2024 3 relations: 231044
  145. Sat Aug 17 11:16:13 2024 4 relations: 260422
  146. Sat Aug 17 11:16:13 2024 5 relations: 282521
  147. Sat Aug 17 11:16:13 2024 6 relations: 287413
  148. Sat Aug 17 11:16:13 2024 7 relations: 284089
  149. Sat Aug 17 11:16:13 2024 8 relations: 270311
  150. Sat Aug 17 11:16:13 2024 9 relations: 252543
  151. Sat Aug 17 11:16:13 2024 10+ relations: 1584325
  152. Sat Aug 17 11:16:13 2024 heaviest cycle: 28 relations
  153. Sat Aug 17 11:16:14 2024 commencing cycle optimization
  154. Sat Aug 17 11:16:23 2024 start with 35021890 relations
  155. Sat Aug 17 11:17:58 2024 pruned 2109744 relations
  156. Sat Aug 17 11:17:58 2024 memory use: 845.6 MB
  157. Sat Aug 17 11:17:58 2024 distribution of cycle lengths:
  158. Sat Aug 17 11:17:58 2024 1 relations: 98452
  159. Sat Aug 17 11:17:58 2024 2 relations: 172914
  160. Sat Aug 17 11:17:58 2024 3 relations: 242036
  161. Sat Aug 17 11:17:58 2024 4 relations: 274427
  162. Sat Aug 17 11:17:58 2024 5 relations: 301971
  163. Sat Aug 17 11:17:58 2024 6 relations: 306946
  164. Sat Aug 17 11:17:58 2024 7 relations: 305146
  165. Sat Aug 17 11:17:58 2024 8 relations: 288686
  166. Sat Aug 17 11:17:58 2024 9 relations: 269035
  167. Sat Aug 17 11:17:58 2024 10+ relations: 1459724
  168. Sat Aug 17 11:17:58 2024 heaviest cycle: 28 relations
  169. Sat Aug 17 11:18:05 2024 RelProcTime: 3839
  170. Sat Aug 17 11:18:07 2024
  171. Sat Aug 17 11:18:07 2024 commencing linear algebra
  172. Sat Aug 17 11:18:07 2024 using VBITS=512
  173. Sat Aug 17 11:18:07 2024 read 3719337 cycles
  174. Sat Aug 17 11:18:17 2024 cycles contain 11462609 unique relations
  175. Sat Aug 17 11:19:28 2024 read 11462609 relations
  176. Sat Aug 17 11:19:52 2024 using 20 quadratic characters above 4294917295
  177. Sat Aug 17 11:20:46 2024 building initial matrix
  178. Sat Aug 17 11:22:56 2024 memory use: 1423.4 MB
  179. Sat Aug 17 11:22:57 2024 read 3719337 cycles
  180. Sat Aug 17 11:22:58 2024 matrix is 3719160 x 3719337 (1703.1 MB) with weight 483108787 (129.89/col)
  181. Sat Aug 17 11:22:58 2024 sparse part has weight 409253500 (110.03/col)
  182. Sat Aug 17 11:23:33 2024 filtering completed in 2 passes
  183. Sat Aug 17 11:23:34 2024 matrix is 3719086 x 3719229 (1703.0 MB) with weight 483105220 (129.89/col)
  184. Sat Aug 17 11:23:34 2024 sparse part has weight 409251823 (110.04/col)
  185. Sat Aug 17 11:23:42 2024 matrix starts at (0, 0)
  186. Sat Aug 17 11:23:42 2024 matrix is 3719086 x 3719229 (1703.0 MB) with weight 483105220 (129.89/col)
  187. Sat Aug 17 11:23:42 2024 sparse part has weight 409251823 (110.04/col)
  188. Sat Aug 17 11:23:42 2024 saving the first 496 matrix rows for later
  189. Sat Aug 17 11:23:43 2024 matrix includes 512 packed rows
  190. Sat Aug 17 11:23:45 2024 matrix is 3718590 x 3719229 (1595.4 MB) with weight 349151028 (93.88/col)
  191. Sat Aug 17 11:23:45 2024 sparse part has weight 328971990 (88.45/col)
  192. Sat Aug 17 11:23:45 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  193. Sat Aug 17 11:23:45 2024 selected card has CUDA arch 8.6
  194. Sat Aug 17 11:24:05 2024 commencing Lanczos iteration
  195. Sat Aug 17 11:24:05 2024 memory use: 4354.3 MB
  196. Sat Aug 17 11:24:19 2024 linear algebra at 0.4%, ETA 0h52m
  197. Sat Aug 17 11:24:19 2024 checkpointing every 4390000 dimensions
  198. Sat Aug 17 12:19:26 2024 lanczos halted after 7275 iterations (dim = 3718588)
  199. Sat Aug 17 12:20:37 2024 recovered 32 nontrivial dependencies
  200. Sat Aug 17 12:20:37 2024 BLanczosTime: 3750
  201. Sat Aug 17 12:20:37 2024
  202. Sat Aug 17 12:20:37 2024 commencing square root phase
  203. Sat Aug 17 12:20:37 2024 handling dependencies 1 to 64
  204. Sat Aug 17 12:20:37 2024 reading relations for dependency 1
  205. Sat Aug 17 12:20:38 2024 read 1859694 cycles
  206. Sat Aug 17 12:20:42 2024 cycles contain 5729504 unique relations
  207. Sat Aug 17 12:21:34 2024 read 5729504 relations
  208. Sat Aug 17 12:22:02 2024 multiplying 5729504 relations
  209. Sat Aug 17 12:25:04 2024 multiply complete, coefficients have about 138.37 million bits
  210. Sat Aug 17 12:25:05 2024 initial square root is modulo 92467
  211. Sat Aug 17 12:28:04 2024 GCD is N, no factor found
  212. Sat Aug 17 12:28:04 2024 reading relations for dependency 2
  213. Sat Aug 17 12:28:05 2024 read 1859224 cycles
  214. Sat Aug 17 12:28:09 2024 cycles contain 5729292 unique relations
  215. Sat Aug 17 12:28:45 2024 read 5729292 relations
  216. Sat Aug 17 12:29:07 2024 multiplying 5729292 relations
  217. Sat Aug 17 12:31:45 2024 multiply complete, coefficients have about 138.37 million bits
  218. Sat Aug 17 12:31:46 2024 initial square root is modulo 92467
  219. Sat Aug 17 12:35:42 2024 GCD is 1, no factor found
  220. Sat Aug 17 12:35:42 2024 reading relations for dependency 3
  221. Sat Aug 17 12:35:43 2024 read 1858728 cycles
  222. Sat Aug 17 12:35:48 2024 cycles contain 5729422 unique relations
  223. Sat Aug 17 12:36:38 2024 read 5729422 relations
  224. Sat Aug 17 12:37:10 2024 multiplying 5729422 relations
  225. Sat Aug 17 12:40:36 2024 multiply complete, coefficients have about 138.37 million bits
  226. Sat Aug 17 12:40:37 2024 initial square root is modulo 92467
  227. Sat Aug 17 12:44:37 2024 sqrtTime: 1440
  228. Sat Aug 17 12:44:37 2024 p92 factor: 80866798829315525691692519260358772970296502670091832647675328767060656921012047538171904197
  229. Sat Aug 17 12:44:37 2024 p127 factor: 8949472784833088435175988273508863600677070615819461007347692482315157317305970165776843209375195830947230016343121973512950673
  230. Sat Aug 17 12:44:37 2024 elapsed time 02:30:32
  231.  
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