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Oct 27th, 2023
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  1. Thu Oct 26 21:08:44 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Oct 26 21:08:44 2023 random seeds: e5f72b04 3f16b38d
  3. Thu Oct 26 21:08:44 2023 Using 16 OpenMP threads
  4. Thu Oct 26 21:08:44 2023 factoring 104709763771106282070472616784454557558936249429922171428431030265099813976322279657482474796361401796280315045325818006111528478787082680745283884824173611941573268887859565303038971393188449771993369369319019706373571318848441482078806411963862319956797654235364015049052843 (276 digits)
  5. Thu Oct 26 21:08:45 2023 no P-1/P+1/ECM available, skipping
  6. Thu Oct 26 21:08:45 2023 commencing number field sieve (276-digit input)
  7. Thu Oct 26 21:08:45 2023 R0: 6865379200955135391524384965083073728767674853
  8. Thu Oct 26 21:08:45 2023 R1: -1
  9. Thu Oct 26 21:08:45 2023 A0: 1
  10. Thu Oct 26 21:08:45 2023 A1: 1
  11. Thu Oct 26 21:08:45 2023 A2: 1
  12. Thu Oct 26 21:08:45 2023 A3: 1
  13. Thu Oct 26 21:08:45 2023 A4: 1
  14. Thu Oct 26 21:08:45 2023 A5: 1
  15. Thu Oct 26 21:08:45 2023 A6: 1
  16. Thu Oct 26 21:08:45 2023 skew 1.38, size 1.559e-13, alpha 2.428, combined = 2.828e-14 rroots = 0
  17. Thu Oct 26 21:08:45 2023
  18. Thu Oct 26 21:08:45 2023 commencing relation filtering
  19. Thu Oct 26 21:08:45 2023 setting target matrix density to 110.0
  20. Thu Oct 26 21:08:45 2023 estimated available RAM is 128734.5 MB
  21. Thu Oct 26 21:08:45 2023 commencing duplicate removal, pass 1
  22. Thu Oct 26 21:10:37 2023 error -11 reading relation 156519302
  23. Thu Oct 26 21:12:11 2023 skipped 1359 relations with b > 2^32
  24. Thu Oct 26 21:12:11 2023 found 9160618 hash collisions in 286761442 relations
  25. Thu Oct 26 21:12:15 2023 added 2438534 free relations
  26. Thu Oct 26 21:12:15 2023 commencing duplicate removal, pass 2
  27. Thu Oct 26 21:13:08 2023 found 0 duplicates and 289199976 unique relations
  28. Thu Oct 26 21:13:08 2023 memory use: 810.4 MB
  29. Thu Oct 26 21:13:08 2023 reading ideals above 720000
  30. Thu Oct 26 21:13:08 2023 commencing singleton removal, initial pass
  31. Thu Oct 26 21:22:22 2023 memory use: 6024.0 MB
  32. Thu Oct 26 21:22:22 2023 reading all ideals from disk
  33. Thu Oct 26 21:22:24 2023 memory use: 14537.2 MB
  34. Thu Oct 26 21:22:37 2023 keeping 276343205 ideals with weight <= 200, target excess is 1484486
  35. Thu Oct 26 21:22:54 2023 commencing in-memory singleton removal
  36. Thu Oct 26 21:22:59 2023 begin with 289199976 relations and 276343205 unique ideals
  37. Thu Oct 26 21:23:36 2023 reduce to 197025308 relations and 178194581 ideals in 17 passes
  38. Thu Oct 26 21:23:36 2023 max relations containing the same ideal: 164
  39. Thu Oct 26 21:24:13 2023 removing 16139963 relations and 14139963 ideals in 2000000 cliques
  40. Thu Oct 26 21:24:18 2023 commencing in-memory singleton removal
  41. Thu Oct 26 21:24:21 2023 begin with 180885345 relations and 178194581 unique ideals
  42. Thu Oct 26 21:24:37 2023 reduce to 179713288 relations and 162865293 ideals in 9 passes
  43. Thu Oct 26 21:24:37 2023 max relations containing the same ideal: 156
  44. Thu Oct 26 21:25:11 2023 removing 12153594 relations and 10153594 ideals in 2000000 cliques
  45. Thu Oct 26 21:25:15 2023 commencing in-memory singleton removal
  46. Thu Oct 26 21:25:17 2023 begin with 167559694 relations and 162865293 unique ideals
  47. Thu Oct 26 21:25:32 2023 reduce to 166814767 relations and 151957625 ideals in 9 passes
  48. Thu Oct 26 21:25:32 2023 max relations containing the same ideal: 148
  49. Thu Oct 26 21:26:04 2023 removing 10929632 relations and 8929632 ideals in 2000000 cliques
  50. Thu Oct 26 21:26:07 2023 commencing in-memory singleton removal
  51. Thu Oct 26 21:26:10 2023 begin with 155885135 relations and 151957625 unique ideals
  52. Thu Oct 26 21:26:23 2023 reduce to 155232308 relations and 142367270 ideals in 9 passes
  53. Thu Oct 26 21:26:23 2023 max relations containing the same ideal: 141
  54. Thu Oct 26 21:26:54 2023 removing 10306516 relations and 8306516 ideals in 2000000 cliques
  55. Thu Oct 26 21:26:57 2023 commencing in-memory singleton removal
  56. Thu Oct 26 21:26:59 2023 begin with 144925792 relations and 142367270 unique ideals
  57. Thu Oct 26 21:27:12 2023 reduce to 144306091 relations and 133433120 ideals in 9 passes
  58. Thu Oct 26 21:27:12 2023 max relations containing the same ideal: 135
  59. Thu Oct 26 21:27:40 2023 removing 9932813 relations and 7932813 ideals in 2000000 cliques
  60. Thu Oct 26 21:27:43 2023 commencing in-memory singleton removal
  61. Thu Oct 26 21:27:46 2023 begin with 134373278 relations and 133433120 unique ideals
  62. Thu Oct 26 21:27:57 2023 reduce to 133755542 relations and 124874583 ideals in 9 passes
  63. Thu Oct 26 21:27:57 2023 max relations containing the same ideal: 127
  64. Thu Oct 26 21:28:24 2023 removing 9697123 relations and 7697123 ideals in 2000000 cliques
  65. Thu Oct 26 21:28:27 2023 commencing in-memory singleton removal
  66. Thu Oct 26 21:28:29 2023 begin with 124058419 relations and 124874583 unique ideals
  67. Thu Oct 26 21:28:39 2023 reduce to 123426709 relations and 116536973 ideals in 9 passes
  68. Thu Oct 26 21:28:39 2023 max relations containing the same ideal: 122
  69. Thu Oct 26 21:29:04 2023 removing 9559338 relations and 7559338 ideals in 2000000 cliques
  70. Thu Oct 26 21:29:07 2023 commencing in-memory singleton removal
  71. Thu Oct 26 21:29:09 2023 begin with 113867371 relations and 116536973 unique ideals
  72. Thu Oct 26 21:29:18 2023 reduce to 113207128 relations and 108307902 ideals in 9 passes
  73. Thu Oct 26 21:29:18 2023 max relations containing the same ideal: 112
  74. Thu Oct 26 21:29:42 2023 removing 9479918 relations and 7479918 ideals in 2000000 cliques
  75. Thu Oct 26 21:29:44 2023 commencing in-memory singleton removal
  76. Thu Oct 26 21:29:46 2023 begin with 103727210 relations and 108307902 unique ideals
  77. Thu Oct 26 21:29:54 2023 reduce to 103023766 relations and 100113509 ideals in 9 passes
  78. Thu Oct 26 21:29:54 2023 max relations containing the same ideal: 106
  79. Thu Oct 26 21:30:16 2023 removing 6247924 relations and 5059671 ideals in 1188253 cliques
  80. Thu Oct 26 21:30:18 2023 commencing in-memory singleton removal
  81. Thu Oct 26 21:30:19 2023 begin with 96775842 relations and 100113509 unique ideals
  82. Thu Oct 26 21:30:26 2023 reduce to 96461200 relations and 94735860 ideals in 8 passes
  83. Thu Oct 26 21:30:26 2023 max relations containing the same ideal: 100
  84. Thu Oct 26 21:30:55 2023 relations with 0 large ideals: 113675
  85. Thu Oct 26 21:30:55 2023 relations with 1 large ideals: 20477
  86. Thu Oct 26 21:30:55 2023 relations with 2 large ideals: 252807
  87. Thu Oct 26 21:30:55 2023 relations with 3 large ideals: 1761036
  88. Thu Oct 26 21:30:55 2023 relations with 4 large ideals: 6835129
  89. Thu Oct 26 21:30:55 2023 relations with 5 large ideals: 16174546
  90. Thu Oct 26 21:30:55 2023 relations with 6 large ideals: 24301003
  91. Thu Oct 26 21:30:55 2023 relations with 7+ large ideals: 47002527
  92. Thu Oct 26 21:30:55 2023 commencing 2-way merge
  93. Thu Oct 26 21:31:26 2023 reduce to 60550180 relation sets and 58824840 unique ideals
  94. Thu Oct 26 21:31:26 2023 commencing full merge
  95. Thu Oct 26 21:47:37 2023 memory use: 7941.6 MB
  96. Thu Oct 26 21:47:41 2023 found 27694572 cycles, need 27657040
  97. Thu Oct 26 21:47:46 2023 weight of 27657040 cycles is about 3042544889 (110.01/cycle)
  98. Thu Oct 26 21:47:46 2023 distribution of cycle lengths:
  99. Thu Oct 26 21:47:46 2023 1 relations: 2545243
  100. Thu Oct 26 21:47:46 2023 2 relations: 2375001
  101. Thu Oct 26 21:47:46 2023 3 relations: 2246133
  102. Thu Oct 26 21:47:46 2023 4 relations: 2099692
  103. Thu Oct 26 21:47:46 2023 5 relations: 1990896
  104. Thu Oct 26 21:47:46 2023 6 relations: 1867298
  105. Thu Oct 26 21:47:46 2023 7 relations: 1738180
  106. Thu Oct 26 21:47:46 2023 8 relations: 1619916
  107. Thu Oct 26 21:47:46 2023 9 relations: 1489251
  108. Thu Oct 26 21:47:46 2023 10+ relations: 9685430
  109. Thu Oct 26 21:47:46 2023 heaviest cycle: 28 relations
  110. Thu Oct 26 21:47:51 2023 commencing cycle optimization
  111. Thu Oct 26 21:48:28 2023 start with 224367562 relations
  112. Thu Oct 26 21:53:25 2023 pruned 7996881 relations
  113. Thu Oct 26 21:53:25 2023 memory use: 6254.0 MB
  114. Thu Oct 26 21:53:26 2023 distribution of cycle lengths:
  115. Thu Oct 26 21:53:26 2023 1 relations: 2545243
  116. Thu Oct 26 21:53:26 2023 2 relations: 2421056
  117. Thu Oct 26 21:53:26 2023 3 relations: 2325499
  118. Thu Oct 26 21:53:26 2023 4 relations: 2167961
  119. Thu Oct 26 21:53:26 2023 5 relations: 2066701
  120. Thu Oct 26 21:53:26 2023 6 relations: 1928970
  121. Thu Oct 26 21:53:26 2023 7 relations: 1796774
  122. Thu Oct 26 21:53:26 2023 8 relations: 1665640
  123. Thu Oct 26 21:53:26 2023 9 relations: 1527232
  124. Thu Oct 26 21:53:26 2023 10+ relations: 9211964
  125. Thu Oct 26 21:53:26 2023 heaviest cycle: 28 relations
  126. Thu Oct 26 21:53:53 2023 RelProcTime: 2708
  127. Thu Oct 26 21:53:53 2023 elapsed time 00:45:09
  128. Thu Oct 26 22:11:12 2023
  129. Thu Oct 26 22:11:12 2023
  130. Thu Oct 26 22:11:12 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  131. Thu Oct 26 22:11:12 2023 random seeds: ce91c014 cf94d513
  132. Thu Oct 26 22:11:12 2023 MPI process 0 of 2
  133. Thu Oct 26 22:11:12 2023 Using 8 OpenMP threads
  134. Thu Oct 26 22:11:12 2023 factoring 104709763771106282070472616784454557558936249429922171428431030265099813976322279657482474796361401796280315045325818006111528478787082680745283884824173611941573268887859565303038971393188449771993369369319019706373571318848441482078806411963862319956797654235364015049052843 (276 digits)
  135. Thu Oct 26 22:11:12 2023 no P-1/P+1/ECM available, skipping
  136. Thu Oct 26 22:11:13 2023 commencing number field sieve (276-digit input)
  137. Thu Oct 26 22:11:13 2023 R0: 6865379200955135391524384965083073728767674853
  138. Thu Oct 26 22:11:13 2023 R1: -1
  139. Thu Oct 26 22:11:13 2023 A0: 1
  140. Thu Oct 26 22:11:13 2023 A1: 1
  141. Thu Oct 26 22:11:13 2023 A2: 1
  142. Thu Oct 26 22:11:13 2023 A3: 1
  143. Thu Oct 26 22:11:13 2023 A4: 1
  144. Thu Oct 26 22:11:13 2023 A5: 1
  145. Thu Oct 26 22:11:13 2023 A6: 1
  146. Thu Oct 26 22:11:13 2023 skew 1.38, size 1.559e-13, alpha 2.428, combined = 2.828e-14 rroots = 0
  147. Thu Oct 26 22:11:13 2023
  148. Thu Oct 26 22:11:13 2023 commencing linear algebra
  149. Thu Oct 26 22:11:13 2023 using VBITS=256
  150. Thu Oct 26 22:11:13 2023 initialized process (0,0) of 1 x 2 grid
  151. Thu Oct 26 22:11:14 2023 read 27657040 cycles
  152. Thu Oct 26 22:11:49 2023 cycles contain 95193926 unique relations
  153. Thu Oct 26 22:12:38 2023 read 95193926 relations
  154. Thu Oct 26 22:12:58 2023 using 20 quadratic characters above 4294917295
  155. Thu Oct 26 22:13:24 2023 building initial matrix
  156. Thu Oct 26 22:26:02 2023 memory use: 11904.9 MB
  157. Thu Oct 26 22:26:16 2023 read 27657040 cycles
  158. Thu Oct 26 22:26:20 2023 matrix is 27656863 x 27657040 (12150.2 MB) with weight 3438585820 (124.33/col)
  159. Thu Oct 26 22:26:20 2023 sparse part has weight 2880870233 (104.16/col)
  160. Thu Oct 26 22:30:19 2023 filtering completed in 2 passes
  161. Thu Oct 26 22:30:23 2023 matrix is 27655670 x 27655833 (12150.1 MB) with weight 3438547859 (124.33/col)
  162. Thu Oct 26 22:30:23 2023 sparse part has weight 2880857825 (104.17/col)
  163. Thu Oct 26 22:31:24 2023 matrix starts at (0, 0)
  164. Thu Oct 26 22:31:25 2023 matrix is 27655670 x 13827896 (6075.0 MB) with weight 1719266781 (124.33/col)
  165. Thu Oct 26 22:31:25 2023 sparse part has weight 1440429090 (104.17/col)
  166. Thu Oct 26 22:31:25 2023 saving the first 240 matrix rows for later
  167. Thu Oct 26 22:31:28 2023 matrix includes 256 packed rows
  168. Thu Oct 26 22:31:33 2023 matrix is 27655430 x 13827896 (5653.5 MB) with weight 1323122423 (95.69/col)
  169. Thu Oct 26 22:31:33 2023 sparse part has weight 1260781971 (91.18/col)
  170. Thu Oct 26 22:31:34 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  171. Thu Oct 26 22:31:34 2023 selected card has CUDA arch 8.6
  172. Thu Oct 26 22:33:09 2023 commencing Lanczos iteration
  173. Thu Oct 26 22:33:10 2023 memory use: 14419.2 MB
  174. Thu Oct 26 22:33:56 2023 linear algebra at 0.1%, ETA 11h16m
  175. Thu Oct 26 22:35:04 2023 checking every 40000 dimensions, checkpointing every 2480000 dimensions
  176. Fri Oct 27 09:47:57 2023 lanczos halted after 108354 iterations (dim = 27655428)
  177. Fri Oct 27 09:49:11 2023 recovered 36 nontrivial dependencies
  178. Fri Oct 27 09:49:11 2023 BLanczosTime: 41878
  179. Fri Oct 27 09:49:11 2023 elapsed time 11:37:59
  180. Fri Oct 27 09:49:11 2023
  181. Fri Oct 27 09:49:11 2023
  182. Fri Oct 27 09:49:11 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  183. Fri Oct 27 09:49:11 2023 random seeds: 5179ad48 c697836b
  184. Fri Oct 27 09:49:11 2023 Using 16 OpenMP threads
  185. Fri Oct 27 09:49:11 2023 factoring 104709763771106282070472616784454557558936249429922171428431030265099813976322279657482474796361401796280315045325818006111528478787082680745283884824173611941573268887859565303038971393188449771993369369319019706373571318848441482078806411963862319956797654235364015049052843 (276 digits)
  186. Fri Oct 27 09:49:12 2023 no P-1/P+1/ECM available, skipping
  187. Fri Oct 27 09:49:12 2023 commencing number field sieve (276-digit input)
  188. Fri Oct 27 09:49:12 2023 R0: 6865379200955135391524384965083073728767674853
  189. Fri Oct 27 09:49:12 2023 R1: -1
  190. Fri Oct 27 09:49:12 2023 A0: 1
  191. Fri Oct 27 09:49:12 2023 A1: 1
  192. Fri Oct 27 09:49:12 2023 A2: 1
  193. Fri Oct 27 09:49:12 2023 A3: 1
  194. Fri Oct 27 09:49:12 2023 A4: 1
  195. Fri Oct 27 09:49:12 2023 A5: 1
  196. Fri Oct 27 09:49:12 2023 A6: 1
  197. Fri Oct 27 09:49:12 2023 skew 1.38, size 1.559e-13, alpha 2.428, combined = 2.828e-14 rroots = 0
  198. Fri Oct 27 09:49:12 2023
  199. Fri Oct 27 09:49:12 2023 commencing square root phase
  200. Fri Oct 27 09:49:12 2023 reading relations for dependency 1
  201. Fri Oct 27 09:49:13 2023 read 13828008 cycles
  202. Fri Oct 27 09:49:31 2023 cycles contain 47601068 unique relations
  203. Fri Oct 27 09:50:01 2023 read 47601068 relations
  204. Fri Oct 27 09:52:05 2023 multiplying 47601068 relations
  205. Fri Oct 27 09:55:19 2023 multiply complete, coefficients have about 1256.66 million bits
  206. Fri Oct 27 09:55:21 2023 initial square root is modulo 433571
  207. Fri Oct 27 10:00:34 2023 sqrtTime: 682
  208. Fri Oct 27 10:00:34 2023 p70 factor: 1688336932762455676645907208590687230257111461591027772127986641015801
  209. Fri Oct 27 10:00:34 2023 p206 factor: 62019471196297436792834608441080744672372547291153508749732550349371405533872458449081879068858449653125808884519153653714152299674602892314549148294395039759573077880915060253920935775358214966165961653443
  210. Fri Oct 27 10:00:34 2023 elapsed time 00:11:23
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