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  1. Wed Sep 13 12:39:26 2023
  2. Wed Sep 13 12:39:26 2023
  3. Wed Sep 13 12:39:26 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Sep 13 12:39:26 2023 random seeds: 71ba7d9c 6ef8f9d3
  5. Wed Sep 13 12:39:26 2023 factoring 165168455272455085479939172992704574927372029981802375187431611453889172151612667759848818822956453099236853374109901698561616351009287192837740762247104015256916818830118822410470224156388325084527358762213413 (210 digits)
  6. Wed Sep 13 12:39:27 2023 no P-1/P+1/ECM available, skipping
  7. Wed Sep 13 12:39:27 2023 commencing number field sieve (210-digit input)
  8. Wed Sep 13 12:39:27 2023 R0: 74071947335701596200016406505789587
  9. Wed Sep 13 12:39:27 2023 R1: -1
  10. Wed Sep 13 12:39:27 2023 A0: -1
  11. Wed Sep 13 12:39:27 2023 A1: 0
  12. Wed Sep 13 12:39:27 2023 A2: 0
  13. Wed Sep 13 12:39:27 2023 A3: 0
  14. Wed Sep 13 12:39:27 2023 A4: 0
  15. Wed Sep 13 12:39:27 2023 A5: 0
  16. Wed Sep 13 12:39:27 2023 A6: 95803
  17. Wed Sep 13 12:39:27 2023 skew 0.15, size 1.056e-10, alpha -1.400, combined = 3.478e-12 rroots = 2
  18. Wed Sep 13 12:39:27 2023
  19. Wed Sep 13 12:39:27 2023 commencing relation filtering
  20. Wed Sep 13 12:39:27 2023 setting target matrix density to 112.0
  21. Wed Sep 13 12:39:27 2023 estimated available RAM is 15960.0 MB
  22. Wed Sep 13 12:39:27 2023 commencing duplicate removal, pass 1
  23. Wed Sep 13 12:56:54 2023 skipped 139 relations with b > 2^32
  24. Wed Sep 13 12:56:54 2023 found 6005933 hash collisions in 117758959 relations
  25. Wed Sep 13 12:57:13 2023 added 1217796 free relations
  26. Wed Sep 13 12:57:13 2023 commencing duplicate removal, pass 2
  27. Wed Sep 13 12:57:59 2023 found 1 duplicates and 118976754 unique relations
  28. Wed Sep 13 12:57:59 2023 memory use: 378.4 MB
  29. Wed Sep 13 12:57:59 2023 reading ideals above 55246848
  30. Wed Sep 13 12:57:59 2023 commencing singleton removal, initial pass
  31. Wed Sep 13 13:13:49 2023 memory use: 2756.0 MB
  32. Wed Sep 13 13:13:49 2023 reading all ideals from disk
  33. Wed Sep 13 13:13:57 2023 memory use: 2090.4 MB
  34. Wed Sep 13 13:14:04 2023 commencing in-memory singleton removal
  35. Wed Sep 13 13:14:10 2023 begin with 118976754 relations and 86626505 unique ideals
  36. Wed Sep 13 13:15:08 2023 reduce to 89217029 relations and 54613103 ideals in 11 passes
  37. Wed Sep 13 13:15:08 2023 max relations containing the same ideal: 45
  38. Wed Sep 13 13:15:14 2023 reading ideals above 720000
  39. Wed Sep 13 13:15:14 2023 commencing singleton removal, initial pass
  40. Wed Sep 13 13:30:43 2023 memory use: 1506.0 MB
  41. Wed Sep 13 13:30:43 2023 reading all ideals from disk
  42. Wed Sep 13 13:30:52 2023 memory use: 3248.6 MB
  43. Wed Sep 13 13:31:04 2023 keeping 60757406 ideals with weight <= 200, target excess is 448436
  44. Wed Sep 13 13:31:17 2023 commencing in-memory singleton removal
  45. Wed Sep 13 13:31:26 2023 begin with 89217029 relations and 60757406 unique ideals
  46. Wed Sep 13 13:32:00 2023 reduce to 89216973 relations and 60757350 ideals in 4 passes
  47. Wed Sep 13 13:32:00 2023 max relations containing the same ideal: 200
  48. Wed Sep 13 13:32:51 2023 removing 7230770 relations and 5230770 ideals in 2000000 cliques
  49. Wed Sep 13 13:32:55 2023 commencing in-memory singleton removal
  50. Wed Sep 13 13:33:05 2023 begin with 81986203 relations and 60757350 unique ideals
  51. Wed Sep 13 13:33:53 2023 reduce to 81497860 relations and 55024489 ideals in 6 passes
  52. Wed Sep 13 13:33:53 2023 max relations containing the same ideal: 196
  53. Wed Sep 13 13:34:40 2023 removing 5881216 relations and 3881216 ideals in 2000000 cliques
  54. Wed Sep 13 13:34:43 2023 commencing in-memory singleton removal
  55. Wed Sep 13 13:34:51 2023 begin with 75616644 relations and 55024489 unique ideals
  56. Wed Sep 13 13:35:32 2023 reduce to 75290963 relations and 50809506 ideals in 6 passes
  57. Wed Sep 13 13:35:32 2023 max relations containing the same ideal: 193
  58. Wed Sep 13 13:36:14 2023 removing 5506385 relations and 3506385 ideals in 2000000 cliques
  59. Wed Sep 13 13:36:17 2023 commencing in-memory singleton removal
  60. Wed Sep 13 13:36:25 2023 begin with 69784578 relations and 50809506 unique ideals
  61. Wed Sep 13 13:37:12 2023 reduce to 69507910 relations and 47019483 ideals in 7 passes
  62. Wed Sep 13 13:37:12 2023 max relations containing the same ideal: 183
  63. Wed Sep 13 13:37:51 2023 removing 5307168 relations and 3307168 ideals in 2000000 cliques
  64. Wed Sep 13 13:37:54 2023 commencing in-memory singleton removal
  65. Wed Sep 13 13:37:59 2023 begin with 64200742 relations and 47019483 unique ideals
  66. Wed Sep 13 13:38:27 2023 reduce to 63946527 relations and 43451420 ideals in 5 passes
  67. Wed Sep 13 13:38:27 2023 max relations containing the same ideal: 170
  68. Wed Sep 13 13:39:01 2023 removing 5171872 relations and 3171872 ideals in 2000000 cliques
  69. Wed Sep 13 13:39:03 2023 commencing in-memory singleton removal
  70. Wed Sep 13 13:39:09 2023 begin with 58774655 relations and 43451420 unique ideals
  71. Wed Sep 13 13:39:38 2023 reduce to 58529610 relations and 40027721 ideals in 6 passes
  72. Wed Sep 13 13:39:38 2023 max relations containing the same ideal: 165
  73. Wed Sep 13 13:40:08 2023 removing 5077350 relations and 3077350 ideals in 2000000 cliques
  74. Wed Sep 13 13:40:11 2023 commencing in-memory singleton removal
  75. Wed Sep 13 13:40:15 2023 begin with 53452260 relations and 40027721 unique ideals
  76. Wed Sep 13 13:40:41 2023 reduce to 53209985 relations and 36700884 ideals in 6 passes
  77. Wed Sep 13 13:40:41 2023 max relations containing the same ideal: 154
  78. Wed Sep 13 13:41:09 2023 removing 5004972 relations and 3004972 ideals in 2000000 cliques
  79. Wed Sep 13 13:41:12 2023 commencing in-memory singleton removal
  80. Wed Sep 13 13:41:16 2023 begin with 48205013 relations and 36700884 unique ideals
  81. Wed Sep 13 13:41:37 2023 reduce to 47958386 relations and 33441420 ideals in 5 passes
  82. Wed Sep 13 13:41:37 2023 max relations containing the same ideal: 146
  83. Wed Sep 13 13:42:01 2023 removing 4948899 relations and 2948899 ideals in 2000000 cliques
  84. Wed Sep 13 13:42:04 2023 commencing in-memory singleton removal
  85. Wed Sep 13 13:42:08 2023 begin with 43009487 relations and 33441420 unique ideals
  86. Wed Sep 13 13:42:30 2023 reduce to 42751678 relations and 30225876 ideals in 6 passes
  87. Wed Sep 13 13:42:30 2023 max relations containing the same ideal: 138
  88. Wed Sep 13 13:42:52 2023 removing 4909280 relations and 2909280 ideals in 2000000 cliques
  89. Wed Sep 13 13:42:55 2023 commencing in-memory singleton removal
  90. Wed Sep 13 13:42:58 2023 begin with 37842398 relations and 30225876 unique ideals
  91. Wed Sep 13 13:43:17 2023 reduce to 37568299 relations and 27032062 ideals in 6 passes
  92. Wed Sep 13 13:43:17 2023 max relations containing the same ideal: 120
  93. Wed Sep 13 13:43:36 2023 removing 4878093 relations and 2878093 ideals in 2000000 cliques
  94. Wed Sep 13 13:43:38 2023 commencing in-memory singleton removal
  95. Wed Sep 13 13:43:40 2023 begin with 32690206 relations and 27032062 unique ideals
  96. Wed Sep 13 13:43:58 2023 reduce to 32390299 relations and 23841499 ideals in 7 passes
  97. Wed Sep 13 13:43:58 2023 max relations containing the same ideal: 110
  98. Wed Sep 13 13:44:15 2023 removing 4856349 relations and 2856349 ideals in 2000000 cliques
  99. Wed Sep 13 13:44:17 2023 commencing in-memory singleton removal
  100. Wed Sep 13 13:44:19 2023 begin with 27533950 relations and 23841499 unique ideals
  101. Wed Sep 13 13:44:33 2023 reduce to 27195579 relations and 20630694 ideals in 6 passes
  102. Wed Sep 13 13:44:33 2023 max relations containing the same ideal: 96
  103. Wed Sep 13 13:44:47 2023 removing 4842244 relations and 2842244 ideals in 2000000 cliques
  104. Wed Sep 13 13:44:48 2023 commencing in-memory singleton removal
  105. Wed Sep 13 13:44:51 2023 begin with 22353335 relations and 20630694 unique ideals
  106. Wed Sep 13 13:45:02 2023 reduce to 21959542 relations and 17372693 ideals in 6 passes
  107. Wed Sep 13 13:45:02 2023 max relations containing the same ideal: 85
  108. Wed Sep 13 13:45:13 2023 removing 4830725 relations and 2830725 ideals in 2000000 cliques
  109. Wed Sep 13 13:45:15 2023 commencing in-memory singleton removal
  110. Wed Sep 13 13:45:17 2023 begin with 17128817 relations and 17372693 unique ideals
  111. Wed Sep 13 13:45:26 2023 reduce to 16649708 relations and 14029973 ideals in 8 passes
  112. Wed Sep 13 13:45:26 2023 max relations containing the same ideal: 70
  113. Wed Sep 13 13:45:34 2023 removing 4815549 relations and 2815549 ideals in 2000000 cliques
  114. Wed Sep 13 13:45:36 2023 commencing in-memory singleton removal
  115. Wed Sep 13 13:45:37 2023 begin with 11834159 relations and 14029973 unique ideals
  116. Wed Sep 13 13:45:44 2023 reduce to 11199181 relations and 10521955 ideals in 8 passes
  117. Wed Sep 13 13:45:44 2023 max relations containing the same ideal: 52
  118. Wed Sep 13 13:45:48 2023 removing 612115 relations and 455075 ideals in 157040 cliques
  119. Wed Sep 13 13:45:49 2023 commencing in-memory singleton removal
  120. Wed Sep 13 13:45:50 2023 begin with 10587066 relations and 10521955 unique ideals
  121. Wed Sep 13 13:45:54 2023 reduce to 10544717 relations and 10023739 ideals in 6 passes
  122. Wed Sep 13 13:45:54 2023 max relations containing the same ideal: 51
  123. Wed Sep 13 13:46:01 2023 relations with 0 large ideals: 16250
  124. Wed Sep 13 13:46:01 2023 relations with 1 large ideals: 13581
  125. Wed Sep 13 13:46:01 2023 relations with 2 large ideals: 138117
  126. Wed Sep 13 13:46:01 2023 relations with 3 large ideals: 694475
  127. Wed Sep 13 13:46:01 2023 relations with 4 large ideals: 1813110
  128. Wed Sep 13 13:46:01 2023 relations with 5 large ideals: 2754273
  129. Wed Sep 13 13:46:01 2023 relations with 6 large ideals: 2606709
  130. Wed Sep 13 13:46:01 2023 relations with 7+ large ideals: 2508202
  131. Wed Sep 13 13:46:01 2023 commencing 2-way merge
  132. Wed Sep 13 13:46:08 2023 reduce to 7607024 relation sets and 7086046 unique ideals
  133. Wed Sep 13 13:46:08 2023 commencing full merge
  134. Wed Sep 13 13:49:07 2023 memory use: 902.8 MB
  135. Wed Sep 13 13:49:08 2023 found 3424897 cycles, need 3388246
  136. Wed Sep 13 13:49:10 2023 weight of 3388246 cycles is about 379611585 (112.04/cycle)
  137. Wed Sep 13 13:49:10 2023 distribution of cycle lengths:
  138. Wed Sep 13 13:49:10 2023 1 relations: 92973
  139. Wed Sep 13 13:49:10 2023 2 relations: 184838
  140. Wed Sep 13 13:49:10 2023 3 relations: 248852
  141. Wed Sep 13 13:49:10 2023 4 relations: 274731
  142. Wed Sep 13 13:49:10 2023 5 relations: 290608
  143. Wed Sep 13 13:49:10 2023 6 relations: 288175
  144. Wed Sep 13 13:49:10 2023 7 relations: 274643
  145. Wed Sep 13 13:49:10 2023 8 relations: 252096
  146. Wed Sep 13 13:49:10 2023 9 relations: 227473
  147. Wed Sep 13 13:49:10 2023 10+ relations: 1253857
  148. Wed Sep 13 13:49:10 2023 heaviest cycle: 28 relations
  149. Wed Sep 13 13:49:11 2023 commencing cycle optimization
  150. Wed Sep 13 13:49:18 2023 start with 29363893 relations
  151. Wed Sep 13 13:50:35 2023 pruned 1677145 relations
  152. Wed Sep 13 13:50:35 2023 memory use: 739.1 MB
  153. Wed Sep 13 13:50:35 2023 distribution of cycle lengths:
  154. Wed Sep 13 13:50:35 2023 1 relations: 92973
  155. Wed Sep 13 13:50:35 2023 2 relations: 190380
  156. Wed Sep 13 13:50:35 2023 3 relations: 261772
  157. Wed Sep 13 13:50:35 2023 4 relations: 290321
  158. Wed Sep 13 13:50:35 2023 5 relations: 310341
  159. Wed Sep 13 13:50:35 2023 6 relations: 306871
  160. Wed Sep 13 13:50:35 2023 7 relations: 292839
  161. Wed Sep 13 13:50:35 2023 8 relations: 266906
  162. Wed Sep 13 13:50:35 2023 9 relations: 238177
  163. Wed Sep 13 13:50:35 2023 10+ relations: 1137666
  164. Wed Sep 13 13:50:35 2023 heaviest cycle: 28 relations
  165. Wed Sep 13 13:50:43 2023 RelProcTime: 4276
  166. Wed Sep 13 13:50:43 2023 elapsed time 01:11:17
  167. Wed Sep 13 14:26:52 2023
  168. Wed Sep 13 14:26:52 2023
  169. Wed Sep 13 14:26:52 2023 Msieve v. 1.54 (SVN Unversioned directory)
  170. Wed Sep 13 14:26:52 2023 random seeds: e5e434cb eadc6d5f
  171. Wed Sep 13 14:26:52 2023 factoring 165168455272455085479939172992704574927372029981802375187431611453889172151612667759848818822956453099236853374109901698561616351009287192837740762247104015256916818830118822410470224156388325084527358762213413 (210 digits)
  172. Wed Sep 13 14:26:52 2023 no P-1/P+1/ECM available, skipping
  173. Wed Sep 13 14:26:52 2023 commencing number field sieve (210-digit input)
  174. Wed Sep 13 14:26:52 2023 R0: 74071947335701596200016406505789587
  175. Wed Sep 13 14:26:52 2023 R1: -1
  176. Wed Sep 13 14:26:52 2023 A0: -1
  177. Wed Sep 13 14:26:52 2023 A1: 0
  178. Wed Sep 13 14:26:52 2023 A2: 0
  179. Wed Sep 13 14:26:52 2023 A3: 0
  180. Wed Sep 13 14:26:52 2023 A4: 0
  181. Wed Sep 13 14:26:52 2023 A5: 0
  182. Wed Sep 13 14:26:52 2023 A6: 95803
  183. Wed Sep 13 14:26:52 2023 skew 0.15, size 1.056e-10, alpha -1.400, combined = 3.478e-12 rroots = 2
  184. Wed Sep 13 14:26:52 2023
  185. Wed Sep 13 14:26:52 2023 commencing linear algebra
  186. Wed Sep 13 14:26:52 2023 using VBITS=512
  187. Wed Sep 13 14:26:53 2023 read 3388246 cycles
  188. Wed Sep 13 14:27:01 2023 cycles contain 10307537 unique relations
  189. Wed Sep 13 14:28:20 2023 read 10307537 relations
  190. Wed Sep 13 14:28:41 2023 using 20 quadratic characters above 4294917295
  191. Wed Sep 13 14:29:33 2023 building initial matrix
  192. Wed Sep 13 14:32:34 2023 memory use: 1378.1 MB
  193. Wed Sep 13 14:32:37 2023 read 3388246 cycles
  194. Wed Sep 13 14:32:38 2023 matrix is 3388068 x 3388246 (1484.4 MB) with weight 444465475 (131.18/col)
  195. Wed Sep 13 14:32:38 2023 sparse part has weight 351862551 (103.85/col)
  196. Wed Sep 13 14:33:34 2023 filtering completed in 2 passes
  197. Wed Sep 13 14:33:35 2023 matrix is 3387843 x 3388004 (1484.4 MB) with weight 444453187 (131.18/col)
  198. Wed Sep 13 14:33:35 2023 sparse part has weight 351856878 (103.85/col)
  199. Wed Sep 13 14:33:46 2023 matrix starts at (0, 0)
  200. Wed Sep 13 14:33:47 2023 matrix is 3387843 x 3388004 (1484.4 MB) with weight 444453187 (131.18/col)
  201. Wed Sep 13 14:33:47 2023 sparse part has weight 351856878 (103.85/col)
  202. Wed Sep 13 14:33:47 2023 saving the first 496 matrix rows for later
  203. Wed Sep 13 14:33:49 2023 matrix includes 512 packed rows
  204. Wed Sep 13 14:33:53 2023 matrix is 3387347 x 3388004 (1379.2 MB) with weight 299033537 (88.26/col)
  205. Wed Sep 13 14:33:53 2023 sparse part has weight 280228851 (82.71/col)
  206. Wed Sep 13 14:33:53 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  207. Wed Sep 13 14:33:53 2023 selected card has CUDA arch 8.6
  208. Wed Sep 13 14:34:26 2023 commencing Lanczos iteration
  209. Wed Sep 13 14:34:27 2023 memory use: 3818.2 MB
  210. Wed Sep 13 14:34:39 2023 linear algebra at 0.5%, ETA 0h43m
  211. Wed Sep 13 14:34:39 2023 checkpointing every 4760000 dimensions
  212. Wed Sep 13 15:17:32 2023 lanczos halted after 6627 iterations (dim = 3387344)
  213. Wed Sep 13 15:19:14 2023 recovered 33 nontrivial dependencies
  214. Wed Sep 13 15:19:14 2023 BLanczosTime: 3142
  215. Wed Sep 13 15:19:14 2023
  216. Wed Sep 13 15:19:14 2023 commencing square root phase
  217. Wed Sep 13 15:19:14 2023 handling dependencies 1 to 64
  218. Wed Sep 13 15:19:14 2023 reading relations for dependency 1
  219. Wed Sep 13 15:19:15 2023 read 1694362 cycles
  220. Wed Sep 13 15:19:20 2023 cycles contain 5153310 unique relations
  221. Wed Sep 13 15:20:18 2023 read 5153310 relations
  222. Wed Sep 13 15:20:59 2023 multiplying 5153310 relations
  223. Wed Sep 13 15:28:01 2023 multiply complete, coefficients have about 202.38 million bits
  224. Wed Sep 13 15:28:02 2023 initial square root is modulo 18323197
  225. Wed Sep 13 15:36:10 2023 GCD is N, no factor found
  226. Wed Sep 13 15:36:10 2023 reading relations for dependency 2
  227. Wed Sep 13 15:36:11 2023 read 1693635 cycles
  228. Wed Sep 13 15:36:16 2023 cycles contain 5154304 unique relations
  229. Wed Sep 13 15:37:02 2023 read 5154304 relations
  230. Wed Sep 13 15:37:39 2023 multiplying 5154304 relations
  231. Wed Sep 13 15:44:56 2023 multiply complete, coefficients have about 202.42 million bits
  232. Wed Sep 13 15:44:56 2023 initial square root is modulo 18374947
  233. Wed Sep 13 15:53:01 2023 GCD is 1, no factor found
  234. Wed Sep 13 15:53:01 2023 reading relations for dependency 3
  235. Wed Sep 13 15:53:02 2023 read 1694430 cycles
  236. Wed Sep 13 15:53:06 2023 cycles contain 5151322 unique relations
  237. Wed Sep 13 15:53:53 2023 read 5151322 relations
  238. Wed Sep 13 15:54:27 2023 multiplying 5151322 relations
  239. Wed Sep 13 16:01:39 2023 multiply complete, coefficients have about 202.30 million bits
  240. Wed Sep 13 16:01:40 2023 initial square root is modulo 18199963
  241. Wed Sep 13 16:09:39 2023 GCD is 1, no factor found
  242. Wed Sep 13 16:09:39 2023 reading relations for dependency 4
  243. Wed Sep 13 16:09:40 2023 read 1694369 cycles
  244. Wed Sep 13 16:09:44 2023 cycles contain 5155720 unique relations
  245. Wed Sep 13 16:10:39 2023 read 5155720 relations
  246. Wed Sep 13 16:11:14 2023 multiplying 5155720 relations
  247. Wed Sep 13 16:17:53 2023 multiply complete, coefficients have about 202.48 million bits
  248. Wed Sep 13 16:17:54 2023 initial square root is modulo 18466849
  249. Wed Sep 13 16:25:54 2023 GCD is N, no factor found
  250. Wed Sep 13 16:25:54 2023 reading relations for dependency 5
  251. Wed Sep 13 16:25:55 2023 read 1695486 cycles
  252. Wed Sep 13 16:26:00 2023 cycles contain 5156914 unique relations
  253. Wed Sep 13 16:26:45 2023 read 5156914 relations
  254. Wed Sep 13 16:27:23 2023 multiplying 5156914 relations
  255. Wed Sep 13 16:34:20 2023 multiply complete, coefficients have about 202.52 million bits
  256. Wed Sep 13 16:34:21 2023 initial square root is modulo 18530767
  257. Wed Sep 13 16:41:45 2023 GCD is 1, no factor found
  258. Wed Sep 13 16:41:45 2023 reading relations for dependency 6
  259. Wed Sep 13 16:41:46 2023 read 1693419 cycles
  260. Wed Sep 13 16:41:50 2023 cycles contain 5148864 unique relations
  261. Wed Sep 13 16:42:36 2023 read 5148864 relations
  262. Wed Sep 13 16:43:05 2023 multiplying 5148864 relations
  263. Wed Sep 13 16:48:56 2023 multiply complete, coefficients have about 202.20 million bits
  264. Wed Sep 13 16:48:56 2023 initial square root is modulo 18054667
  265. Wed Sep 13 16:55:52 2023 sqrtTime: 5798
  266. Wed Sep 13 16:55:52 2023 p100 factor: 3497471993205698502686157923265699686364061314486712214126988966230164828388728194023015937441678841
  267. Wed Sep 13 16:55:52 2023 p110 factor: 47225097325530164344298020837464454232529713909327168635555996518062590350994662185112354250574939086174193293
  268. Wed Sep 13 16:55:52 2023 elapsed time 02:29:00
  269.  
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