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Oct 25th, 2023
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  1. Tue Oct 24 21:40:11 2023
  2. Tue Oct 24 21:40:11 2023
  3. Tue Oct 24 21:40:11 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Oct 24 21:40:11 2023 random seeds: ecfaaf13 86159904
  5. Tue Oct 24 21:40:11 2023 Using 4 OpenMP threads
  6. Tue Oct 24 21:40:11 2023 factoring 28856666137092788892617445197153692780057071173208419899921712923093223237206049189691590876544218818843638505713205118796133135759117355459629271779243 (152 digits)
  7. Tue Oct 24 21:40:12 2023 searching for 15-digit factors
  8. Tue Oct 24 21:40:12 2023 commencing number field sieve (152-digit input)
  9. Tue Oct 24 21:40:12 2023 R0: -220151829545915595533076452789
  10. Tue Oct 24 21:40:12 2023 R1: 15085924261955239
  11. Tue Oct 24 21:40:12 2023 A0: 11356009761740804553137909480056939968
  12. Tue Oct 24 21:40:12 2023 A1: 10187435514799536229274561201100
  13. Tue Oct 24 21:40:12 2023 A2: -8079595322562152677940824
  14. Tue Oct 24 21:40:12 2023 A3: -1581938461139530955
  15. Tue Oct 24 21:40:12 2023 A4: 864506448018
  16. Tue Oct 24 21:40:12 2023 A5: 55800
  17. Tue Oct 24 21:40:12 2023 skew 3476620.47, size 9.536e-15, alpha -6.770, combined = 4.254e-12 rroots = 3
  18. Tue Oct 24 21:40:12 2023
  19. Tue Oct 24 21:40:12 2023 commencing relation filtering
  20. Tue Oct 24 21:40:12 2023 setting target matrix density to 124.0
  21. Tue Oct 24 21:40:12 2023 estimated available RAM is 15729.3 MB
  22. Tue Oct 24 21:40:12 2023 commencing duplicate removal, pass 1
  23. Tue Oct 24 21:42:35 2023 error -1 reading relation 15722639
  24. Tue Oct 24 21:44:54 2023 error -1 reading relation 31228370
  25. Tue Oct 24 21:47:13 2023 error -1 reading relation 46325239
  26. Tue Oct 24 21:47:58 2023 error -1 reading relation 51722327
  27. Tue Oct 24 21:47:58 2023 error -1 reading relation 51722354
  28. Tue Oct 24 21:48:11 2023 error -1 reading relation 53182880
  29. Tue Oct 24 21:48:16 2023 skipped 1 relations with composite factors
  30. Tue Oct 24 21:48:16 2023 skipped 19 malformed relations
  31. Tue Oct 24 21:48:16 2023 found 7887939 hash collisions in 53622608 relations
  32. Tue Oct 24 21:48:53 2023 commencing duplicate removal, pass 2
  33. Tue Oct 24 21:50:09 2023 found 6799945 duplicates and 46822663 unique relations
  34. Tue Oct 24 21:50:09 2023 memory use: 213.2 MB
  35. Tue Oct 24 21:50:09 2023 reading ideals above 720000
  36. Tue Oct 24 21:50:09 2023 commencing singleton removal, initial pass
  37. Tue Oct 24 21:58:20 2023 memory use: 1378.0 MB
  38. Tue Oct 24 21:58:21 2023 reading all ideals from disk
  39. Tue Oct 24 21:58:21 2023 memory use: 2021.3 MB
  40. Tue Oct 24 21:58:27 2023 keeping 45434139 ideals with weight <= 200, target excess is 248344
  41. Tue Oct 24 21:58:34 2023 commencing in-memory singleton removal
  42. Tue Oct 24 21:58:39 2023 begin with 46822663 relations and 45434139 unique ideals
  43. Tue Oct 24 21:58:57 2023 reduce to 27076946 relations and 23345206 ideals in 14 passes
  44. Tue Oct 24 21:58:57 2023 max relations containing the same ideal: 146
  45. Tue Oct 24 21:59:08 2023 removing 2609237 relations and 2209237 ideals in 400000 cliques
  46. Tue Oct 24 21:59:10 2023 commencing in-memory singleton removal
  47. Tue Oct 24 21:59:11 2023 begin with 24467709 relations and 23345206 unique ideals
  48. Tue Oct 24 21:59:18 2023 reduce to 24281210 relations and 20945959 ideals in 9 passes
  49. Tue Oct 24 21:59:18 2023 max relations containing the same ideal: 137
  50. Tue Oct 24 21:59:28 2023 removing 1969458 relations and 1569458 ideals in 400000 cliques
  51. Tue Oct 24 21:59:29 2023 commencing in-memory singleton removal
  52. Tue Oct 24 21:59:30 2023 begin with 22311752 relations and 20945959 unique ideals
  53. Tue Oct 24 21:59:35 2023 reduce to 22190635 relations and 19253413 ideals in 7 passes
  54. Tue Oct 24 21:59:35 2023 max relations containing the same ideal: 133
  55. Tue Oct 24 21:59:45 2023 removing 1771894 relations and 1371894 ideals in 400000 cliques
  56. Tue Oct 24 21:59:46 2023 commencing in-memory singleton removal
  57. Tue Oct 24 21:59:48 2023 begin with 20418741 relations and 19253413 unique ideals
  58. Tue Oct 24 21:59:55 2023 reduce to 20310987 relations and 17771916 ideals in 7 passes
  59. Tue Oct 24 21:59:55 2023 max relations containing the same ideal: 123
  60. Tue Oct 24 22:00:09 2023 removing 1669673 relations and 1269673 ideals in 400000 cliques
  61. Tue Oct 24 22:00:10 2023 commencing in-memory singleton removal
  62. Tue Oct 24 22:00:12 2023 begin with 18641314 relations and 17771916 unique ideals
  63. Tue Oct 24 22:00:15 2023 reduce to 18537588 relations and 16396690 ideals in 7 passes
  64. Tue Oct 24 22:00:15 2023 max relations containing the same ideal: 113
  65. Tue Oct 24 22:00:23 2023 removing 1610999 relations and 1210999 ideals in 400000 cliques
  66. Tue Oct 24 22:00:24 2023 commencing in-memory singleton removal
  67. Tue Oct 24 22:00:25 2023 begin with 16926589 relations and 16396690 unique ideals
  68. Tue Oct 24 22:00:29 2023 reduce to 16822530 relations and 15079740 ideals in 7 passes
  69. Tue Oct 24 22:00:29 2023 max relations containing the same ideal: 103
  70. Tue Oct 24 22:00:36 2023 removing 1571112 relations and 1171112 ideals in 400000 cliques
  71. Tue Oct 24 22:00:37 2023 commencing in-memory singleton removal
  72. Tue Oct 24 22:00:38 2023 begin with 15251418 relations and 15079740 unique ideals
  73. Tue Oct 24 22:00:41 2023 reduce to 15144059 relations and 13799042 ideals in 7 passes
  74. Tue Oct 24 22:00:41 2023 max relations containing the same ideal: 98
  75. Tue Oct 24 22:00:47 2023 removing 1545306 relations and 1145306 ideals in 400000 cliques
  76. Tue Oct 24 22:00:48 2023 commencing in-memory singleton removal
  77. Tue Oct 24 22:00:49 2023 begin with 13598753 relations and 13799042 unique ideals
  78. Tue Oct 24 22:00:52 2023 reduce to 13483935 relations and 12536314 ideals in 7 passes
  79. Tue Oct 24 22:00:52 2023 max relations containing the same ideal: 90
  80. Tue Oct 24 22:00:58 2023 removing 1531534 relations and 1131534 ideals in 400000 cliques
  81. Tue Oct 24 22:00:59 2023 commencing in-memory singleton removal
  82. Tue Oct 24 22:00:59 2023 begin with 11952401 relations and 12536314 unique ideals
  83. Tue Oct 24 22:01:02 2023 reduce to 11828361 relations and 11277599 ideals in 8 passes
  84. Tue Oct 24 22:01:02 2023 max relations containing the same ideal: 85
  85. Tue Oct 24 22:01:07 2023 removing 1087480 relations and 824798 ideals in 262682 cliques
  86. Tue Oct 24 22:01:08 2023 commencing in-memory singleton removal
  87. Tue Oct 24 22:01:09 2023 begin with 10740881 relations and 11277599 unique ideals
  88. Tue Oct 24 22:01:13 2023 reduce to 10673555 relations and 10384196 ideals in 8 passes
  89. Tue Oct 24 22:01:13 2023 max relations containing the same ideal: 82
  90. Tue Oct 24 22:01:24 2023 relations with 0 large ideals: 833
  91. Tue Oct 24 22:01:24 2023 relations with 1 large ideals: 2584
  92. Tue Oct 24 22:01:24 2023 relations with 2 large ideals: 38666
  93. Tue Oct 24 22:01:24 2023 relations with 3 large ideals: 270062
  94. Tue Oct 24 22:01:24 2023 relations with 4 large ideals: 1009251
  95. Tue Oct 24 22:01:24 2023 relations with 5 large ideals: 2212694
  96. Tue Oct 24 22:01:24 2023 relations with 6 large ideals: 2979653
  97. Tue Oct 24 22:01:24 2023 relations with 7+ large ideals: 4159812
  98. Tue Oct 24 22:01:24 2023 commencing 2-way merge
  99. Tue Oct 24 22:01:33 2023 reduce to 6808290 relation sets and 6518931 unique ideals
  100. Tue Oct 24 22:01:33 2023 commencing full merge
  101. Tue Oct 24 22:04:50 2023 memory use: 879.2 MB
  102. Tue Oct 24 22:04:51 2023 found 3018978 cycles, need 3011131
  103. Tue Oct 24 22:04:52 2023 weight of 3011131 cycles is about 374127245 (124.25/cycle)
  104. Tue Oct 24 22:04:52 2023 distribution of cycle lengths:
  105. Tue Oct 24 22:04:52 2023 1 relations: 102340
  106. Tue Oct 24 22:04:52 2023 2 relations: 176630
  107. Tue Oct 24 22:04:52 2023 3 relations: 209460
  108. Tue Oct 24 22:04:52 2023 4 relations: 212595
  109. Tue Oct 24 22:04:52 2023 5 relations: 216015
  110. Tue Oct 24 22:04:52 2023 6 relations: 213152
  111. Tue Oct 24 22:04:52 2023 7 relations: 204771
  112. Tue Oct 24 22:04:52 2023 8 relations: 198820
  113. Tue Oct 24 22:04:52 2023 9 relations: 186718
  114. Tue Oct 24 22:04:52 2023 10+ relations: 1290630
  115. Tue Oct 24 22:04:52 2023 heaviest cycle: 28 relations
  116. Tue Oct 24 22:04:53 2023 commencing cycle optimization
  117. Tue Oct 24 22:05:03 2023 start with 28077113 relations
  118. Tue Oct 24 22:06:28 2023 pruned 1349552 relations
  119. Tue Oct 24 22:06:28 2023 memory use: 729.6 MB
  120. Tue Oct 24 22:06:28 2023 distribution of cycle lengths:
  121. Tue Oct 24 22:06:28 2023 1 relations: 102340
  122. Tue Oct 24 22:06:28 2023 2 relations: 181586
  123. Tue Oct 24 22:06:28 2023 3 relations: 219133
  124. Tue Oct 24 22:06:28 2023 4 relations: 222091
  125. Tue Oct 24 22:06:28 2023 5 relations: 227128
  126. Tue Oct 24 22:06:28 2023 6 relations: 222903
  127. Tue Oct 24 22:06:28 2023 7 relations: 216273
  128. Tue Oct 24 22:06:28 2023 8 relations: 207423
  129. Tue Oct 24 22:06:28 2023 9 relations: 196230
  130. Tue Oct 24 22:06:28 2023 10+ relations: 1216024
  131. Tue Oct 24 22:06:28 2023 heaviest cycle: 28 relations
  132. Tue Oct 24 22:06:34 2023 RelProcTime: 1582
  133. Tue Oct 24 22:06:34 2023 elapsed time 00:26:23
  134. Tue Oct 24 22:06:47 2023
  135. Tue Oct 24 22:06:47 2023
  136. Tue Oct 24 22:06:47 2023 Msieve v. 1.54 (SVN Unversioned directory)
  137. Tue Oct 24 22:06:47 2023 random seeds: e41fd62c f56df974
  138. Tue Oct 24 22:06:47 2023 Using 4 OpenMP threads
  139. Tue Oct 24 22:06:47 2023 factoring 28856666137092788892617445197153692780057071173208419899921712923093223237206049189691590876544218818843638505713205118796133135759117355459629271779243 (152 digits)
  140. Tue Oct 24 22:06:47 2023 searching for 15-digit factors
  141. Tue Oct 24 22:06:48 2023 commencing number field sieve (152-digit input)
  142. Tue Oct 24 22:06:48 2023 R0: -220151829545915595533076452789
  143. Tue Oct 24 22:06:48 2023 R1: 15085924261955239
  144. Tue Oct 24 22:06:48 2023 A0: 11356009761740804553137909480056939968
  145. Tue Oct 24 22:06:48 2023 A1: 10187435514799536229274561201100
  146. Tue Oct 24 22:06:48 2023 A2: -8079595322562152677940824
  147. Tue Oct 24 22:06:48 2023 A3: -1581938461139530955
  148. Tue Oct 24 22:06:48 2023 A4: 864506448018
  149. Tue Oct 24 22:06:48 2023 A5: 55800
  150. Tue Oct 24 22:06:48 2023 skew 3476620.47, size 9.536e-15, alpha -6.770, combined = 4.254e-12 rroots = 3
  151. Tue Oct 24 22:06:48 2023
  152. Tue Oct 24 22:06:48 2023 commencing linear algebra
  153. Tue Oct 24 22:06:48 2023 using VBITS=256
  154. Tue Oct 24 22:06:48 2023 read 3011131 cycles
  155. Tue Oct 24 22:06:54 2023 cycles contain 10498992 unique relations
  156. Tue Oct 24 22:09:26 2023 read 10498992 relations
  157. Tue Oct 24 22:09:38 2023 using 20 quadratic characters above 4294917295
  158. Tue Oct 24 22:10:10 2023 building initial matrix
  159. Tue Oct 24 22:13:15 2023 memory use: 1429.3 MB
  160. Tue Oct 24 22:13:16 2023 read 3011131 cycles
  161. Tue Oct 24 22:13:17 2023 matrix is 3010954 x 3011131 (1460.5 MB) with weight 443302124 (147.22/col)
  162. Tue Oct 24 22:13:17 2023 sparse part has weight 346740068 (115.15/col)
  163. Tue Oct 24 22:13:54 2023 filtering completed in 2 passes
  164. Tue Oct 24 22:13:54 2023 matrix is 3010917 x 3011093 (1460.5 MB) with weight 443300555 (147.22/col)
  165. Tue Oct 24 22:13:54 2023 sparse part has weight 346739742 (115.15/col)
  166. Tue Oct 24 22:14:01 2023 matrix starts at (0, 0)
  167. Tue Oct 24 22:14:01 2023 matrix is 3010917 x 3011093 (1460.5 MB) with weight 443300555 (147.22/col)
  168. Tue Oct 24 22:14:01 2023 sparse part has weight 346739742 (115.15/col)
  169. Tue Oct 24 22:14:01 2023 saving the first 240 matrix rows for later
  170. Tue Oct 24 22:14:02 2023 matrix includes 256 packed rows
  171. Tue Oct 24 22:14:04 2023 matrix is 3010677 x 3011093 (1306.3 MB) with weight 315289455 (104.71/col)
  172. Tue Oct 24 22:14:04 2023 sparse part has weight 294255671 (97.72/col)
  173. Tue Oct 24 22:14:04 2023 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  174. Tue Oct 24 22:14:13 2023 commencing Lanczos iteration (4 threads)
  175. Tue Oct 24 22:14:13 2023 memory use: 1767.5 MB
  176. Tue Oct 24 22:14:43 2023 lanczos halted after 7 iterations (dim = 1787)
  177. Tue Oct 24 22:14:43 2023 BLanczosTime: 475
  178. Tue Oct 24 22:14:43 2023 elapsed time 00:07:56
  179.  
  180. Wed Oct 25 18:35:08 2023
  181. Wed Oct 25 18:35:08 2023
  182. Wed Oct 25 18:35:08 2023 Msieve v. 1.54 (SVN unknown)
  183. Wed Oct 25 18:35:08 2023 random seeds: 048ced45 84a93b4d
  184. Wed Oct 25 18:35:08 2023 factoring 28856666137092788892617445197153692780057071173208419899921712923093223237206049189691590876544218818843638505713205118796133135759117355459629271779243 (152 digits)
  185. Wed Oct 25 18:35:09 2023 no P-1/P+1/ECM available, skipping
  186. Wed Oct 25 18:35:09 2023 commencing number field sieve (152-digit input)
  187. Wed Oct 25 18:35:09 2023 R0: -220151829545915595533076452789
  188. Wed Oct 25 18:35:09 2023 R1: 15085924261955239
  189. Wed Oct 25 18:35:09 2023 A0: 11356009761740804553137909480056939968
  190. Wed Oct 25 18:35:09 2023 A1: 10187435514799536229274561201100
  191. Wed Oct 25 18:35:09 2023 A2: -8079595322562152677940824
  192. Wed Oct 25 18:35:09 2023 A3: -1581938461139530955
  193. Wed Oct 25 18:35:09 2023 A4: 864506448018
  194. Wed Oct 25 18:35:09 2023 A5: 55800
  195. Wed Oct 25 18:35:09 2023 skew 3476620.47, size 9.536e-15, alpha -6.770, combined = 4.254e-12 rroots = 3
  196. Wed Oct 25 18:35:09 2023
  197. Wed Oct 25 18:35:09 2023 commencing linear algebra
  198. Wed Oct 25 18:35:09 2023 using VBITS=128
  199. Wed Oct 25 18:35:09 2023 skipping matrix build
  200. Wed Oct 25 18:35:10 2023 matrix starts at (0, 0)
  201. Wed Oct 25 18:35:11 2023 matrix is 3010917 x 3011093 (1460.5 MB) with weight 443300555 (147.22/col)
  202. Wed Oct 25 18:35:11 2023 sparse part has weight 346739742 (115.15/col)
  203. Wed Oct 25 18:35:11 2023 saving the first 112 matrix rows for later
  204. Wed Oct 25 18:35:12 2023 matrix includes 128 packed rows
  205. Wed Oct 25 18:35:12 2023 matrix is 3010805 x 3011093 (1340.6 MB) with weight 341130801 (113.29/col)
  206. Wed Oct 25 18:35:12 2023 sparse part has weight 315289455 (104.71/col)
  207. Wed Oct 25 18:35:12 2023 using GPU 0 (Tesla P100-PCIE-16GB)
  208. Wed Oct 25 18:35:12 2023 selected card has CUDA arch 6.0
  209. Wed Oct 25 18:35:48 2023 commencing Lanczos iteration
  210. Wed Oct 25 18:35:48 2023 memory use: 2864.9 MB
  211. Wed Oct 25 18:35:50 2023 linear algebra at 0.1%, ETA 1h 5m
  212. Wed Oct 25 18:35:50 2023 checkpointing every 3670000 dimensions
  213. Wed Oct 25 19:17:45 2023 lanczos halted after 23666 iterations (dim = 3010804)
  214. Wed Oct 25 19:17:51 2023 recovered 29 nontrivial dependencies
  215. Wed Oct 25 19:17:51 2023 BLanczosTime: 2562
  216. Wed Oct 25 19:17:51 2023 elapsed time 00:42:43
  217.  
  218. Wed Oct 25 22:24:43 2023
  219. Wed Oct 25 22:24:43 2023
  220. Wed Oct 25 22:24:43 2023 Msieve v. 1.54 (SVN Unversioned directory)
  221. Wed Oct 25 22:24:43 2023 random seeds: 789d21d4 d1faa213
  222. Wed Oct 25 22:24:43 2023 Using 4 OpenMP threads
  223. Wed Oct 25 22:24:43 2023 factoring 28856666137092788892617445197153692780057071173208419899921712923093223237206049189691590876544218818843638505713205118796133135759117355459629271779243 (152 digits)
  224. Wed Oct 25 22:24:44 2023 searching for 15-digit factors
  225. Wed Oct 25 22:24:44 2023 commencing number field sieve (152-digit input)
  226. Wed Oct 25 22:24:44 2023 R0: -220151829545915595533076452789
  227. Wed Oct 25 22:24:44 2023 R1: 15085924261955239
  228. Wed Oct 25 22:24:44 2023 A0: 11356009761740804553137909480056939968
  229. Wed Oct 25 22:24:44 2023 A1: 10187435514799536229274561201100
  230. Wed Oct 25 22:24:44 2023 A2: -8079595322562152677940824
  231. Wed Oct 25 22:24:44 2023 A3: -1581938461139530955
  232. Wed Oct 25 22:24:44 2023 A4: 864506448018
  233. Wed Oct 25 22:24:44 2023 A5: 55800
  234. Wed Oct 25 22:24:44 2023 skew 3476620.47, size 9.536e-15, alpha -6.770, combined = 4.254e-12 rroots = 3
  235. Wed Oct 25 22:24:44 2023
  236. Wed Oct 25 22:24:44 2023 commencing square root phase
  237. Wed Oct 25 22:24:44 2023 reading relations for dependency 1
  238. Wed Oct 25 22:24:45 2023 read 1505065 cycles
  239. Wed Oct 25 22:24:48 2023 cycles contain 5249236 unique relations
  240. Wed Oct 25 22:26:46 2023 read 5249236 relations
  241. Wed Oct 25 22:27:10 2023 multiplying 5249236 relations
  242. Wed Oct 25 22:30:35 2023 multiply complete, coefficients have about 272.82 million bits
  243. Wed Oct 25 22:30:37 2023 initial square root is modulo 78643
  244. Wed Oct 25 22:35:12 2023 sqrtTime: 628
  245. Wed Oct 25 22:35:12 2023 p71 factor: 11943841957962322369689495033948809780133077978592914959350737146941949
  246. Wed Oct 25 22:35:12 2023 p82 factor: 2416028798661019517528425799860608393195087398578575256278553280878619475836894407
  247. Wed Oct 25 22:35:12 2023 elapsed time 00:10:29
  248.  
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