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Mar 19th, 2024
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  1. Tue Mar 19 10:20:51 2024
  2. Tue Mar 19 10:20:51 2024
  3. Tue Mar 19 10:20:51 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Mar 19 10:20:51 2024 random seeds: fcd7227e 1339cb92
  5. Tue Mar 19 10:20:51 2024 factoring 2580781324532716301601686945056569971316945271176586771264422571847273586525264477560582827614719261951462176288413311389945175929441520577521848800422211702512835297020869466699934407972228648306682479891700557 (211 digits)
  6. Tue Mar 19 10:20:52 2024 no P-1/P+1/ECM available, skipping
  7. Tue Mar 19 10:20:52 2024 commencing number field sieve (211-digit input)
  8. Tue Mar 19 10:20:52 2024 R0: 29881870504343023057805087362335267751
  9. Tue Mar 19 10:20:52 2024 R1: -1
  10. Tue Mar 19 10:20:52 2024 A0: -225751
  11. Tue Mar 19 10:20:52 2024 A1: 0
  12. Tue Mar 19 10:20:52 2024 A2: 0
  13. Tue Mar 19 10:20:52 2024 A3: 0
  14. Tue Mar 19 10:20:52 2024 A4: 0
  15. Tue Mar 19 10:20:52 2024 A5: 0
  16. Tue Mar 19 10:20:52 2024 A6: 1
  17. Tue Mar 19 10:20:52 2024 skew 9.94, size 2.856e-11, alpha -1.269, combined = 1.382e-12 rroots = 2
  18. Tue Mar 19 10:20:52 2024
  19. Tue Mar 19 10:20:52 2024 commencing relation filtering
  20. Tue Mar 19 10:20:52 2024 setting target matrix density to 120.0
  21. Tue Mar 19 10:20:52 2024 estimated available RAM is 15960.0 MB
  22. Tue Mar 19 10:20:52 2024 commencing duplicate removal, pass 1
  23. Tue Mar 19 10:21:02 2024 error -15 reading relation 2061661
  24. Tue Mar 19 10:22:30 2024 error -15 reading relation 19535046
  25. Tue Mar 19 10:29:27 2024 skipped 1 relations with b > 2^32
  26. Tue Mar 19 10:29:27 2024 found 4425470 hash collisions in 100559251 relations
  27. Tue Mar 19 10:29:41 2024 added 1220593 free relations
  28. Tue Mar 19 10:29:41 2024 commencing duplicate removal, pass 2
  29. Tue Mar 19 10:30:01 2024 found 0 duplicates and 101779844 unique relations
  30. Tue Mar 19 10:30:01 2024 memory use: 261.2 MB
  31. Tue Mar 19 10:30:01 2024 reading ideals above 75956224
  32. Tue Mar 19 10:30:01 2024 commencing singleton removal, initial pass
  33. Tue Mar 19 10:36:20 2024 memory use: 1506.0 MB
  34. Tue Mar 19 10:36:20 2024 reading all ideals from disk
  35. Tue Mar 19 10:36:24 2024 memory use: 1713.7 MB
  36. Tue Mar 19 10:36:28 2024 commencing in-memory singleton removal
  37. Tue Mar 19 10:36:31 2024 begin with 101779844 relations and 81754432 unique ideals
  38. Tue Mar 19 10:37:00 2024 reduce to 67773387 relations and 44410474 ideals in 12 passes
  39. Tue Mar 19 10:37:00 2024 max relations containing the same ideal: 40
  40. Tue Mar 19 10:37:03 2024 reading ideals above 720000
  41. Tue Mar 19 10:37:03 2024 commencing singleton removal, initial pass
  42. Tue Mar 19 10:43:15 2024 memory use: 1378.0 MB
  43. Tue Mar 19 10:43:15 2024 reading all ideals from disk
  44. Tue Mar 19 10:43:21 2024 memory use: 2524.6 MB
  45. Tue Mar 19 10:43:28 2024 keeping 52957037 ideals with weight <= 200, target excess is 350256
  46. Tue Mar 19 10:43:35 2024 commencing in-memory singleton removal
  47. Tue Mar 19 10:43:40 2024 begin with 67773387 relations and 52957037 unique ideals
  48. Tue Mar 19 10:44:28 2024 reduce to 67771435 relations and 52955085 ideals in 9 passes
  49. Tue Mar 19 10:44:28 2024 max relations containing the same ideal: 200
  50. Tue Mar 19 10:45:00 2024 removing 8417382 relations and 6417382 ideals in 2000000 cliques
  51. Tue Mar 19 10:45:03 2024 commencing in-memory singleton removal
  52. Tue Mar 19 10:45:08 2024 begin with 59354053 relations and 52955085 unique ideals
  53. Tue Mar 19 10:45:40 2024 reduce to 58513756 relations and 45667002 ideals in 8 passes
  54. Tue Mar 19 10:45:40 2024 max relations containing the same ideal: 191
  55. Tue Mar 19 10:46:04 2024 removing 6743500 relations and 4743500 ideals in 2000000 cliques
  56. Tue Mar 19 10:46:07 2024 commencing in-memory singleton removal
  57. Tue Mar 19 10:46:10 2024 begin with 51770256 relations and 45667002 unique ideals
  58. Tue Mar 19 10:46:36 2024 reduce to 51177035 relations and 40310070 ideals in 8 passes
  59. Tue Mar 19 10:46:36 2024 max relations containing the same ideal: 177
  60. Tue Mar 19 10:46:56 2024 removing 6262597 relations and 4262597 ideals in 2000000 cliques
  61. Tue Mar 19 10:46:59 2024 commencing in-memory singleton removal
  62. Tue Mar 19 10:47:02 2024 begin with 44914438 relations and 40310070 unique ideals
  63. Tue Mar 19 10:47:21 2024 reduce to 44370301 relations and 35483707 ideals in 7 passes
  64. Tue Mar 19 10:47:21 2024 max relations containing the same ideal: 161
  65. Tue Mar 19 10:47:39 2024 removing 6022244 relations and 4022244 ideals in 2000000 cliques
  66. Tue Mar 19 10:47:41 2024 commencing in-memory singleton removal
  67. Tue Mar 19 10:47:44 2024 begin with 38348057 relations and 35483707 unique ideals
  68. Tue Mar 19 10:48:00 2024 reduce to 37805568 relations and 30897244 ideals in 7 passes
  69. Tue Mar 19 10:48:00 2024 max relations containing the same ideal: 147
  70. Tue Mar 19 10:48:15 2024 removing 5873807 relations and 3873807 ideals in 2000000 cliques
  71. Tue Mar 19 10:48:17 2024 commencing in-memory singleton removal
  72. Tue Mar 19 10:48:19 2024 begin with 31931761 relations and 30897244 unique ideals
  73. Tue Mar 19 10:48:32 2024 reduce to 31360011 relations and 26425178 ideals in 7 passes
  74. Tue Mar 19 10:48:32 2024 max relations containing the same ideal: 129
  75. Tue Mar 19 10:48:45 2024 removing 5768508 relations and 3768508 ideals in 2000000 cliques
  76. Tue Mar 19 10:48:47 2024 commencing in-memory singleton removal
  77. Tue Mar 19 10:48:49 2024 begin with 25591503 relations and 26425178 unique ideals
  78. Tue Mar 19 10:49:00 2024 reduce to 24963273 relations and 21993680 ideals in 8 passes
  79. Tue Mar 19 10:49:00 2024 max relations containing the same ideal: 114
  80. Tue Mar 19 10:49:11 2024 removing 5673334 relations and 3673334 ideals in 2000000 cliques
  81. Tue Mar 19 10:49:13 2024 commencing in-memory singleton removal
  82. Tue Mar 19 10:49:14 2024 begin with 19289939 relations and 21993680 unique ideals
  83. Tue Mar 19 10:49:22 2024 reduce to 18552716 relations and 17532076 ideals in 7 passes
  84. Tue Mar 19 10:49:22 2024 max relations containing the same ideal: 89
  85. Tue Mar 19 10:49:29 2024 removing 2150886 relations and 1536543 ideals in 614343 cliques
  86. Tue Mar 19 10:49:31 2024 commencing in-memory singleton removal
  87. Tue Mar 19 10:49:31 2024 begin with 16401830 relations and 17532076 unique ideals
  88. Tue Mar 19 10:49:38 2024 reduce to 16220178 relations and 15808248 ideals in 7 passes
  89. Tue Mar 19 10:49:38 2024 max relations containing the same ideal: 78
  90. Tue Mar 19 10:49:48 2024 relations with 0 large ideals: 13040
  91. Tue Mar 19 10:49:48 2024 relations with 1 large ideals: 5186
  92. Tue Mar 19 10:49:48 2024 relations with 2 large ideals: 56315
  93. Tue Mar 19 10:49:48 2024 relations with 3 large ideals: 391045
  94. Tue Mar 19 10:49:48 2024 relations with 4 large ideals: 1451674
  95. Tue Mar 19 10:49:48 2024 relations with 5 large ideals: 3186550
  96. Tue Mar 19 10:49:48 2024 relations with 6 large ideals: 4332394
  97. Tue Mar 19 10:49:48 2024 relations with 7+ large ideals: 6783974
  98. Tue Mar 19 10:49:48 2024 commencing 2-way merge
  99. Tue Mar 19 10:49:56 2024 reduce to 10939169 relation sets and 10527239 unique ideals
  100. Tue Mar 19 10:49:56 2024 commencing full merge
  101. Tue Mar 19 10:53:53 2024 memory use: 1445.9 MB
  102. Tue Mar 19 10:53:54 2024 found 4950515 cycles, need 4933439
  103. Tue Mar 19 10:53:56 2024 weight of 4933439 cycles is about 592725608 (120.14/cycle)
  104. Tue Mar 19 10:53:56 2024 distribution of cycle lengths:
  105. Tue Mar 19 10:53:56 2024 1 relations: 138822
  106. Tue Mar 19 10:53:56 2024 2 relations: 254293
  107. Tue Mar 19 10:53:56 2024 3 relations: 323421
  108. Tue Mar 19 10:53:56 2024 4 relations: 350437
  109. Tue Mar 19 10:53:56 2024 5 relations: 370794
  110. Tue Mar 19 10:53:56 2024 6 relations: 375658
  111. Tue Mar 19 10:53:56 2024 7 relations: 371257
  112. Tue Mar 19 10:53:56 2024 8 relations: 358249
  113. Tue Mar 19 10:53:56 2024 9 relations: 337377
  114. Tue Mar 19 10:53:56 2024 10+ relations: 2053131
  115. Tue Mar 19 10:53:56 2024 heaviest cycle: 28 relations
  116. Tue Mar 19 10:53:57 2024 commencing cycle optimization
  117. Tue Mar 19 10:54:06 2024 start with 45182747 relations
  118. Tue Mar 19 10:55:45 2024 pruned 2321887 relations
  119. Tue Mar 19 10:55:45 2024 memory use: 1141.8 MB
  120. Tue Mar 19 10:55:45 2024 distribution of cycle lengths:
  121. Tue Mar 19 10:55:45 2024 1 relations: 138822
  122. Tue Mar 19 10:55:45 2024 2 relations: 261066
  123. Tue Mar 19 10:55:45 2024 3 relations: 338064
  124. Tue Mar 19 10:55:45 2024 4 relations: 366629
  125. Tue Mar 19 10:55:45 2024 5 relations: 392726
  126. Tue Mar 19 10:55:45 2024 6 relations: 396755
  127. Tue Mar 19 10:55:45 2024 7 relations: 394507
  128. Tue Mar 19 10:55:45 2024 8 relations: 378902
  129. Tue Mar 19 10:55:45 2024 9 relations: 355776
  130. Tue Mar 19 10:55:45 2024 10+ relations: 1910192
  131. Tue Mar 19 10:55:45 2024 heaviest cycle: 28 relations
  132. Tue Mar 19 10:55:56 2024 RelProcTime: 2104
  133. Tue Mar 19 10:55:56 2024 elapsed time 00:35:05
  134. Tue Mar 19 11:02:17 2024
  135. Tue Mar 19 11:02:17 2024
  136. Tue Mar 19 11:02:17 2024 Msieve v. 1.54 (SVN Unversioned directory)
  137. Tue Mar 19 11:02:17 2024 random seeds: 62e76326 9f721562
  138. Tue Mar 19 11:02:17 2024 factoring 2580781324532716301601686945056569971316945271176586771264422571847273586525264477560582827614719261951462176288413311389945175929441520577521848800422211702512835297020869466699934407972228648306682479891700557 (211 digits)
  139. Tue Mar 19 11:02:17 2024 no P-1/P+1/ECM available, skipping
  140. Tue Mar 19 11:02:17 2024 commencing number field sieve (211-digit input)
  141. Tue Mar 19 11:02:17 2024 R0: 29881870504343023057805087362335267751
  142. Tue Mar 19 11:02:17 2024 R1: -1
  143. Tue Mar 19 11:02:17 2024 A0: -225751
  144. Tue Mar 19 11:02:17 2024 A1: 0
  145. Tue Mar 19 11:02:17 2024 A2: 0
  146. Tue Mar 19 11:02:17 2024 A3: 0
  147. Tue Mar 19 11:02:17 2024 A4: 0
  148. Tue Mar 19 11:02:17 2024 A5: 0
  149. Tue Mar 19 11:02:17 2024 A6: 1
  150. Tue Mar 19 11:02:17 2024 skew 9.94, size 2.856e-11, alpha -1.269, combined = 1.382e-12 rroots = 2
  151. Tue Mar 19 11:02:17 2024
  152. Tue Mar 19 11:02:17 2024 commencing linear algebra
  153. Tue Mar 19 11:02:17 2024 using VBITS=512
  154. Tue Mar 19 11:02:18 2024 read 4933439 cycles
  155. Tue Mar 19 11:02:29 2024 cycles contain 15992883 unique relations
  156. Tue Mar 19 11:03:23 2024 read 15992883 relations
  157. Tue Mar 19 11:03:51 2024 using 20 quadratic characters above 4294917295
  158. Tue Mar 19 11:05:02 2024 building initial matrix
  159. Tue Mar 19 11:08:36 2024 memory use: 2092.1 MB
  160. Tue Mar 19 11:08:39 2024 read 4933439 cycles
  161. Tue Mar 19 11:08:39 2024 matrix is 4933262 x 4933439 (2299.1 MB) with weight 681695989 (138.18/col)
  162. Tue Mar 19 11:08:39 2024 sparse part has weight 548430863 (111.17/col)
  163. Tue Mar 19 11:09:31 2024 filtering completed in 2 passes
  164. Tue Mar 19 11:09:32 2024 matrix is 4933202 x 4933364 (2299.1 MB) with weight 681693202 (138.18/col)
  165. Tue Mar 19 11:09:32 2024 sparse part has weight 548429888 (111.17/col)
  166. Tue Mar 19 11:09:45 2024 matrix starts at (0, 0)
  167. Tue Mar 19 11:09:46 2024 matrix is 4933202 x 4933364 (2299.1 MB) with weight 681693202 (138.18/col)
  168. Tue Mar 19 11:09:46 2024 sparse part has weight 548429888 (111.17/col)
  169. Tue Mar 19 11:09:46 2024 saving the first 496 matrix rows for later
  170. Tue Mar 19 11:09:47 2024 matrix includes 512 packed rows
  171. Tue Mar 19 11:09:50 2024 matrix is 4932706 x 4933364 (2131.1 MB) with weight 468040719 (94.87/col)
  172. Tue Mar 19 11:09:50 2024 sparse part has weight 440244517 (89.24/col)
  173. Tue Mar 19 11:09:50 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  174. Tue Mar 19 11:09:50 2024 selected card has CUDA arch 8.6
  175. Tue Mar 19 11:10:21 2024 commencing Lanczos iteration
  176. Tue Mar 19 11:10:21 2024 memory use: 5880.6 MB
  177. Tue Mar 19 11:10:40 2024 linear algebra at 0.3%, ETA 1h36m
  178. Tue Mar 19 11:10:40 2024 checkpointing every 3170000 dimensions
  179. Tue Mar 19 12:49:44 2024 lanczos halted after 9650 iterations (dim = 4932702)
  180. Tue Mar 19 12:50:51 2024 recovered 33 nontrivial dependencies
  181. Tue Mar 19 12:50:51 2024 BLanczosTime: 6514
  182. Tue Mar 19 12:50:51 2024
  183. Tue Mar 19 12:50:51 2024 commencing square root phase
  184. Tue Mar 19 12:50:51 2024 handling dependencies 1 to 64
  185. Tue Mar 19 12:50:51 2024 reading relations for dependency 1
  186. Tue Mar 19 12:50:52 2024 read 2465882 cycles
  187. Tue Mar 19 12:50:56 2024 cycles contain 7995254 unique relations
  188. Tue Mar 19 12:51:28 2024 read 7995254 relations
  189. Tue Mar 19 12:51:59 2024 multiplying 7995254 relations
  190. Tue Mar 19 12:56:13 2024 multiply complete, coefficients have about 206.29 million bits
  191. Tue Mar 19 12:56:13 2024 initial square root is modulo 25304173
  192. Tue Mar 19 13:01:02 2024 GCD is 1, no factor found
  193. Tue Mar 19 13:01:02 2024 reading relations for dependency 2
  194. Tue Mar 19 13:01:03 2024 read 2467752 cycles
  195. Tue Mar 19 13:01:07 2024 cycles contain 7999276 unique relations
  196. Tue Mar 19 13:01:39 2024 read 7999276 relations
  197. Tue Mar 19 13:02:12 2024 multiplying 7999276 relations
  198. Tue Mar 19 13:06:28 2024 multiply complete, coefficients have about 206.38 million bits
  199. Tue Mar 19 13:06:28 2024 initial square root is modulo 25496101
  200. Tue Mar 19 13:11:16 2024 GCD is N, no factor found
  201. Tue Mar 19 13:11:16 2024 reading relations for dependency 3
  202. Tue Mar 19 13:11:16 2024 read 2466099 cycles
  203. Tue Mar 19 13:11:20 2024 cycles contain 7996712 unique relations
  204. Tue Mar 19 13:11:50 2024 read 7996712 relations
  205. Tue Mar 19 13:12:21 2024 multiplying 7996712 relations
  206. Tue Mar 19 13:16:34 2024 multiply complete, coefficients have about 206.32 million bits
  207. Tue Mar 19 13:16:35 2024 initial square root is modulo 25358143
  208. Tue Mar 19 13:21:22 2024 sqrtTime: 1831
  209. Tue Mar 19 13:21:22 2024 p68 factor: 73838706386365409557249030575483825742509251997630556010964989949883
  210. Tue Mar 19 13:21:22 2024 p143 factor: 34951605341358839484595601097022550902515464905835184461970735469252040646122206430155140552059864836261012123464043389715432224276302844310679
  211. Tue Mar 19 13:21:22 2024 elapsed time 02:19:05
  212.  
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