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Feb 26th, 2024
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  1. Mon Feb 26 23:36:11 2024
  2. Mon Feb 26 23:36:11 2024
  3. Mon Feb 26 23:36:11 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Feb 26 23:36:11 2024 random seeds: bfd8c4c0 a031967e
  5. Mon Feb 26 23:36:11 2024 Using 16 OpenMP threads
  6. Mon Feb 26 23:36:11 2024 factoring 113330422029359857428382741659287232999722160242344926993504623411625611327214255070104811522079865544044656586539199835019357181210089113259405504383698037417043387 (165 digits)
  7. Mon Feb 26 23:36:12 2024 searching for 15-digit factors
  8. Mon Feb 26 23:36:12 2024 commencing number field sieve (165-digit input)
  9. Mon Feb 26 23:36:12 2024 R0: -85027864619319220695743131185853
  10. Mon Feb 26 23:36:12 2024 R1: 98151224897292449
  11. Mon Feb 26 23:36:12 2024 A0: -366938805229053216413729132574960985408320
  12. Mon Feb 26 23:36:12 2024 A1: 35937564977384959574568896399722476
  13. Mon Feb 26 23:36:12 2024 A2: 1827317804781332849535315043
  14. Mon Feb 26 23:36:12 2024 A3: -71162338135087041296
  15. Mon Feb 26 23:36:12 2024 A4: -1848601697528
  16. Mon Feb 26 23:36:12 2024 A5: 25500
  17. Mon Feb 26 23:36:12 2024 skew 33915576.62, size 5.472e-16, alpha -7.401, combined = 7.876e-13 rroots = 5
  18. Mon Feb 26 23:36:12 2024
  19. Mon Feb 26 23:36:12 2024 commencing relation filtering
  20. Mon Feb 26 23:36:12 2024 setting target matrix density to 140.0
  21. Mon Feb 26 23:36:12 2024 estimated available RAM is 515996.3 MB
  22. Mon Feb 26 23:36:12 2024 commencing duplicate removal, pass 1
  23. Mon Feb 26 23:39:43 2024 error -1 reading relation 101287507
  24. Mon Feb 26 23:41:18 2024 error -1 reading relation 146712446
  25. Mon Feb 26 23:44:36 2024 error -1 reading relation 236033597
  26. Mon Feb 26 23:44:59 2024 error -15 reading relation 246741470
  27. Mon Feb 26 23:45:06 2024 skipped 64 malformed relations
  28. Mon Feb 26 23:45:06 2024 found 49538625 hash collisions in 249774155 relations
  29. Mon Feb 26 23:45:30 2024 added 121770 free relations
  30. Mon Feb 26 23:45:30 2024 commencing duplicate removal, pass 2
  31. Mon Feb 26 23:51:44 2024 found 47232392 duplicates and 202663533 unique relations
  32. Mon Feb 26 23:51:44 2024 memory use: 1449.5 MB
  33. Mon Feb 26 23:51:45 2024 reading ideals above 720000
  34. Mon Feb 26 23:51:45 2024 commencing singleton removal, initial pass
  35. Tue Feb 27 00:05:28 2024 memory use: 5512.0 MB
  36. Tue Feb 27 00:05:28 2024 reading all ideals from disk
  37. Tue Feb 27 00:05:32 2024 memory use: 9170.6 MB
  38. Tue Feb 27 00:05:53 2024 keeping 195445878 ideals with weight <= 200, target excess is 1080221
  39. Tue Feb 27 00:06:20 2024 commencing in-memory singleton removal
  40. Tue Feb 27 00:06:25 2024 begin with 202663533 relations and 195445878 unique ideals
  41. Tue Feb 27 00:06:48 2024 reduce to 100286322 relations and 80473934 ideals in 15 passes
  42. Tue Feb 27 00:06:48 2024 max relations containing the same ideal: 131
  43. Tue Feb 27 00:07:34 2024 removing 11076333 relations and 9076333 ideals in 2000000 cliques
  44. Tue Feb 27 00:07:40 2024 commencing in-memory singleton removal
  45. Tue Feb 27 00:07:43 2024 begin with 89209989 relations and 80473934 unique ideals
  46. Tue Feb 27 00:07:53 2024 reduce to 88330635 relations and 70496646 ideals in 10 passes
  47. Tue Feb 27 00:07:53 2024 max relations containing the same ideal: 122
  48. Tue Feb 27 00:08:34 2024 removing 8436428 relations and 6436428 ideals in 2000000 cliques
  49. Tue Feb 27 00:08:39 2024 commencing in-memory singleton removal
  50. Tue Feb 27 00:08:41 2024 begin with 79894207 relations and 70496646 unique ideals
  51. Tue Feb 27 00:08:49 2024 reduce to 79288444 relations and 63440747 ideals in 8 passes
  52. Tue Feb 27 00:08:49 2024 max relations containing the same ideal: 114
  53. Tue Feb 27 00:09:25 2024 removing 7661693 relations and 5661693 ideals in 2000000 cliques
  54. Tue Feb 27 00:09:29 2024 commencing in-memory singleton removal
  55. Tue Feb 27 00:09:31 2024 begin with 71626751 relations and 63440747 unique ideals
  56. Tue Feb 27 00:09:38 2024 reduce to 71075543 relations and 57214933 ideals in 7 passes
  57. Tue Feb 27 00:09:38 2024 max relations containing the same ideal: 104
  58. Tue Feb 27 00:10:09 2024 removing 7272783 relations and 5272783 ideals in 2000000 cliques
  59. Tue Feb 27 00:10:12 2024 commencing in-memory singleton removal
  60. Tue Feb 27 00:10:14 2024 begin with 63802760 relations and 57214933 unique ideals
  61. Tue Feb 27 00:10:20 2024 reduce to 63267025 relations and 51392954 ideals in 8 passes
  62. Tue Feb 27 00:10:20 2024 max relations containing the same ideal: 97
  63. Tue Feb 27 00:10:48 2024 removing 7034084 relations and 5034084 ideals in 2000000 cliques
  64. Tue Feb 27 00:10:51 2024 commencing in-memory singleton removal
  65. Tue Feb 27 00:10:53 2024 begin with 56232941 relations and 51392954 unique ideals
  66. Tue Feb 27 00:10:59 2024 reduce to 55686540 relations and 45797240 ideals in 8 passes
  67. Tue Feb 27 00:10:59 2024 max relations containing the same ideal: 87
  68. Tue Feb 27 00:11:22 2024 removing 6878569 relations and 4878569 ideals in 2000000 cliques
  69. Tue Feb 27 00:11:26 2024 commencing in-memory singleton removal
  70. Tue Feb 27 00:11:27 2024 begin with 48807971 relations and 45797240 unique ideals
  71. Tue Feb 27 00:11:31 2024 reduce to 48236789 relations and 40329550 ideals in 8 passes
  72. Tue Feb 27 00:11:31 2024 max relations containing the same ideal: 79
  73. Tue Feb 27 00:11:53 2024 removing 6768332 relations and 4768332 ideals in 2000000 cliques
  74. Tue Feb 27 00:11:56 2024 commencing in-memory singleton removal
  75. Tue Feb 27 00:11:57 2024 begin with 41468457 relations and 40329550 unique ideals
  76. Tue Feb 27 00:12:00 2024 reduce to 40845580 relations and 34916156 ideals in 7 passes
  77. Tue Feb 27 00:12:00 2024 max relations containing the same ideal: 72
  78. Tue Feb 27 00:12:18 2024 removing 6698599 relations and 4698599 ideals in 2000000 cliques
  79. Tue Feb 27 00:12:21 2024 commencing in-memory singleton removal
  80. Tue Feb 27 00:12:22 2024 begin with 34146981 relations and 34916156 unique ideals
  81. Tue Feb 27 00:12:25 2024 reduce to 33442962 relations and 29484217 ideals in 9 passes
  82. Tue Feb 27 00:12:25 2024 max relations containing the same ideal: 66
  83. Tue Feb 27 00:12:40 2024 removing 6643976 relations and 4643976 ideals in 2000000 cliques
  84. Tue Feb 27 00:12:42 2024 commencing in-memory singleton removal
  85. Tue Feb 27 00:12:43 2024 begin with 26798986 relations and 29484217 unique ideals
  86. Tue Feb 27 00:12:45 2024 reduce to 25959949 relations and 23957715 ideals in 8 passes
  87. Tue Feb 27 00:12:45 2024 max relations containing the same ideal: 55
  88. Tue Feb 27 00:12:57 2024 removing 3045671 relations and 2296494 ideals in 749177 cliques
  89. Tue Feb 27 00:12:58 2024 commencing in-memory singleton removal
  90. Tue Feb 27 00:12:59 2024 begin with 22914278 relations and 23957715 unique ideals
  91. Tue Feb 27 00:13:01 2024 reduce to 22683252 relations and 21424321 ideals in 8 passes
  92. Tue Feb 27 00:13:01 2024 max relations containing the same ideal: 50
  93. Tue Feb 27 00:13:19 2024 relations with 0 large ideals: 3374
  94. Tue Feb 27 00:13:19 2024 relations with 1 large ideals: 56625
  95. Tue Feb 27 00:13:19 2024 relations with 2 large ideals: 602291
  96. Tue Feb 27 00:13:19 2024 relations with 3 large ideals: 2558140
  97. Tue Feb 27 00:13:19 2024 relations with 4 large ideals: 5484038
  98. Tue Feb 27 00:13:19 2024 relations with 5 large ideals: 6592329
  99. Tue Feb 27 00:13:19 2024 relations with 6 large ideals: 4732405
  100. Tue Feb 27 00:13:19 2024 relations with 7+ large ideals: 2654050
  101. Tue Feb 27 00:13:19 2024 commencing 2-way merge
  102. Tue Feb 27 00:13:38 2024 reduce to 13955338 relation sets and 12696407 unique ideals
  103. Tue Feb 27 00:13:38 2024 commencing full merge
  104. Tue Feb 27 00:20:01 2024 memory use: 1557.8 MB
  105. Tue Feb 27 00:20:02 2024 found 6020934 cycles, need 5950607
  106. Tue Feb 27 00:20:05 2024 weight of 5950607 cycles is about 834005079 (140.15/cycle)
  107. Tue Feb 27 00:20:05 2024 distribution of cycle lengths:
  108. Tue Feb 27 00:20:05 2024 1 relations: 147453
  109. Tue Feb 27 00:20:05 2024 2 relations: 265370
  110. Tue Feb 27 00:20:05 2024 3 relations: 331148
  111. Tue Feb 27 00:20:05 2024 4 relations: 358215
  112. Tue Feb 27 00:20:05 2024 5 relations: 385570
  113. Tue Feb 27 00:20:05 2024 6 relations: 392192
  114. Tue Feb 27 00:20:05 2024 7 relations: 398672
  115. Tue Feb 27 00:20:05 2024 8 relations: 391046
  116. Tue Feb 27 00:20:05 2024 9 relations: 383903
  117. Tue Feb 27 00:20:05 2024 10+ relations: 2897038
  118. Tue Feb 27 00:20:05 2024 heaviest cycle: 28 relations
  119. Tue Feb 27 00:20:06 2024 commencing cycle optimization
  120. Tue Feb 27 00:20:20 2024 start with 59998103 relations
  121. Tue Feb 27 00:23:00 2024 pruned 2914662 relations
  122. Tue Feb 27 00:23:00 2024 memory use: 1537.2 MB
  123. Tue Feb 27 00:23:00 2024 distribution of cycle lengths:
  124. Tue Feb 27 00:23:00 2024 1 relations: 147453
  125. Tue Feb 27 00:23:00 2024 2 relations: 272885
  126. Tue Feb 27 00:23:00 2024 3 relations: 345673
  127. Tue Feb 27 00:23:00 2024 4 relations: 374272
  128. Tue Feb 27 00:23:00 2024 5 relations: 406207
  129. Tue Feb 27 00:23:00 2024 6 relations: 413693
  130. Tue Feb 27 00:23:00 2024 7 relations: 422274
  131. Tue Feb 27 00:23:00 2024 8 relations: 414566
  132. Tue Feb 27 00:23:00 2024 9 relations: 406496
  133. Tue Feb 27 00:23:00 2024 10+ relations: 2747088
  134. Tue Feb 27 00:23:00 2024 heaviest cycle: 28 relations
  135. Tue Feb 27 00:23:09 2024 RelProcTime: 2817
  136. Tue Feb 27 00:23:09 2024 elapsed time 00:46:58
  137. Tue Feb 27 01:36:24 2024
  138. Tue Feb 27 01:36:24 2024
  139. Tue Feb 27 01:36:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  140. Tue Feb 27 01:36:24 2024 random seeds: a090a93f f5c5cbaa
  141. Tue Feb 27 01:36:24 2024 Using 64 OpenMP threads
  142. Tue Feb 27 01:36:24 2024 factoring 113330422029359857428382741659287232999722160242344926993504623411625611327214255070104811522079865544044656586539199835019357181210089113259405504383698037417043387 (165 digits)
  143. Tue Feb 27 01:36:25 2024 searching for 15-digit factors
  144. Tue Feb 27 01:36:26 2024 commencing number field sieve (165-digit input)
  145. Tue Feb 27 01:36:26 2024 R0: -85027864619319220695743131185853
  146. Tue Feb 27 01:36:26 2024 R1: 98151224897292449
  147. Tue Feb 27 01:36:26 2024 A0: -366938805229053216413729132574960985408320
  148. Tue Feb 27 01:36:26 2024 A1: 35937564977384959574568896399722476
  149. Tue Feb 27 01:36:26 2024 A2: 1827317804781332849535315043
  150. Tue Feb 27 01:36:26 2024 A3: -71162338135087041296
  151. Tue Feb 27 01:36:26 2024 A4: -1848601697528
  152. Tue Feb 27 01:36:26 2024 A5: 25500
  153. Tue Feb 27 01:36:26 2024 skew 33915576.62, size 5.472e-16, alpha -7.401, combined = 7.876e-13 rroots = 5
  154. Tue Feb 27 01:36:26 2024
  155. Tue Feb 27 01:36:26 2024 commencing linear algebra
  156. Tue Feb 27 01:36:26 2024 using VBITS=256
  157. Tue Feb 27 01:36:27 2024 read 5950607 cycles
  158. Tue Feb 27 01:36:47 2024 cycles contain 21947391 unique relations
  159. Tue Feb 27 01:41:14 2024 read 21947391 relations
  160. Tue Feb 27 01:41:16 2024 using 20 quadratic characters above 4294917295
  161. Tue Feb 27 01:41:19 2024 building initial matrix
  162. Tue Feb 27 01:45:46 2024 memory use: 3075.7 MB
  163. Tue Feb 27 01:45:49 2024 read 5950607 cycles
  164. Tue Feb 27 01:45:50 2024 matrix is 5950429 x 5950607 (3207.7 MB) with weight 981102844 (164.87/col)
  165. Tue Feb 27 01:45:50 2024 sparse part has weight 769465957 (129.31/col)
  166. Tue Feb 27 01:47:02 2024 filtering completed in 2 passes
  167. Tue Feb 27 01:47:03 2024 matrix is 5950275 x 5950452 (3207.7 MB) with weight 981092927 (164.88/col)
  168. Tue Feb 27 01:47:03 2024 sparse part has weight 769461714 (129.31/col)
  169. Tue Feb 27 01:47:24 2024 matrix starts at (0, 0)
  170. Tue Feb 27 01:47:25 2024 matrix is 5950275 x 5950452 (3207.7 MB) with weight 981092927 (164.88/col)
  171. Tue Feb 27 01:47:25 2024 sparse part has weight 769461714 (129.31/col)
  172. Tue Feb 27 01:47:25 2024 saving the first 240 matrix rows for later
  173. Tue Feb 27 01:47:27 2024 matrix includes 256 packed rows
  174. Tue Feb 27 01:47:29 2024 matrix is 5950035 x 5950452 (2858.8 MB) with weight 701630344 (117.91/col)
  175. Tue Feb 27 01:47:29 2024 sparse part has weight 654206112 (109.94/col)
  176. Tue Feb 27 01:47:29 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  177. Tue Feb 27 01:47:44 2024 commencing Lanczos iteration (64 threads)
  178. Tue Feb 27 01:47:44 2024 memory use: 3762.8 MB
  179. Tue Feb 27 01:48:43 2024 linear algebra at 0.5%, ETA 3h 6m
  180. Tue Feb 27 02:57:28 2024
  181. Tue Feb 27 02:57:28 2024
  182. Tue Feb 27 02:57:28 2024 Msieve v. 1.54 (SVN Unversioned directory)
  183. Tue Feb 27 02:57:28 2024 random seeds: cec60a71 b19f5760
  184. Tue Feb 27 02:57:28 2024 Using 64 OpenMP threads
  185. Tue Feb 27 02:57:28 2024 factoring 113330422029359857428382741659287232999722160242344926993504623411625611327214255070104811522079865544044656586539199835019357181210089113259405504383698037417043387 (165 digits)
  186. Tue Feb 27 02:57:28 2024 searching for 15-digit factors
  187. Tue Feb 27 02:57:28 2024 commencing number field sieve (165-digit input)
  188. Tue Feb 27 02:57:28 2024 R0: -85027864619319220695743131185853
  189. Tue Feb 27 02:57:28 2024 R1: 98151224897292449
  190. Tue Feb 27 02:57:28 2024 A0: -366938805229053216413729132574960985408320
  191. Tue Feb 27 02:57:28 2024 A1: 35937564977384959574568896399722476
  192. Tue Feb 27 02:57:28 2024 A2: 1827317804781332849535315043
  193. Tue Feb 27 02:57:28 2024 A3: -71162338135087041296
  194. Tue Feb 27 02:57:28 2024 A4: -1848601697528
  195. Tue Feb 27 02:57:28 2024 A5: 25500
  196. Tue Feb 27 02:57:28 2024 skew 33915576.62, size 5.472e-16, alpha -7.401, combined = 7.876e-13 rroots = 5
  197. Tue Feb 27 02:57:28 2024
  198. Tue Feb 27 02:57:28 2024 commencing linear algebra
  199. Tue Feb 27 02:57:28 2024 using VBITS=256
  200. Tue Feb 27 02:57:28 2024 skipping matrix build
  201. Tue Feb 27 02:57:30 2024 matrix starts at (0, 0)
  202. Tue Feb 27 02:57:31 2024 matrix is 5950275 x 5950452 (3207.7 MB) with weight 981092927 (164.88/col)
  203. Tue Feb 27 02:57:31 2024 sparse part has weight 769461714 (129.31/col)
  204. Tue Feb 27 02:57:31 2024 saving the first 240 matrix rows for later
  205. Tue Feb 27 02:57:33 2024 matrix includes 256 packed rows
  206. Tue Feb 27 02:57:35 2024 matrix is 5950035 x 5950452 (2858.8 MB) with weight 701630344 (117.91/col)
  207. Tue Feb 27 02:57:35 2024 sparse part has weight 654206112 (109.94/col)
  208. Tue Feb 27 02:57:35 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  209. Tue Feb 27 02:57:49 2024 commencing Lanczos iteration (64 threads)
  210. Tue Feb 27 02:57:49 2024 memory use: 3762.8 MB
  211. Tue Feb 27 03:01:31 2024 linear algebra at 0.5%, ETA 11h48m
  212. Tue Feb 27 03:02:56 2024 checking every 10000 dimensions, checkpointing every 910000 dimensions
  213. Tue Feb 27 06:01:57 2024 lanczos halted after 23313 iterations (dim = 5950035)
  214. Tue Feb 27 06:02:17 2024 recovered 33 nontrivial dependencies
  215. Tue Feb 27 06:02:17 2024 BLanczosTime: 11089
  216. Tue Feb 27 06:02:17 2024
  217. Tue Feb 27 06:02:17 2024 commencing square root phase
  218. Tue Feb 27 06:02:17 2024 handling dependencies 1 to 64
  219. Tue Feb 27 06:02:17 2024 reading relations for dependency 1
  220. Tue Feb 27 06:02:18 2024 read 2974348 cycles
  221. Tue Feb 27 06:02:23 2024 cycles contain 10970166 unique relations
  222. Tue Feb 27 06:05:47 2024 read 10970166 relations
  223. Tue Feb 27 06:06:22 2024 multiplying 10970166 relations
  224. Tue Feb 27 06:10:54 2024 multiply complete, coefficients have about 572.15 million bits
  225. Tue Feb 27 06:10:55 2024 initial square root is modulo 135893
  226. Tue Feb 27 06:13:59 2024 sqrtTime: 702
  227. Tue Feb 27 06:13:59 2024 p52 factor: 1286619065852962716204502660176257011459435443097091
  228. Tue Feb 27 06:13:59 2024 p113 factor: 88083897586444964492399627691048947326448329538182955439811512704735248623341844974788325208940359352427884001257
  229. Tue Feb 27 06:13:59 2024 elapsed time 03:16:31
  230.  
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