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Oct 1st, 2022
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  1. Fri Sep 30 18:43:15 2022
  2. Fri Sep 30 18:43:15 2022
  3. Fri Sep 30 18:43:15 2022 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Sep 30 18:43:15 2022 random seeds: 5ad67004 e40ff8ac
  5. Fri Sep 30 18:43:15 2022 factoring 659891172776452697147024651922618805128658008812109090845884569982366333226186888819502066143914616310769144387194092222265123852797774646449591031167513751345001797837958388202509028238167863467831080749257525997971 (216 digits)
  6. Fri Sep 30 18:43:17 2022 searching for 15-digit factors
  7. Fri Sep 30 18:43:18 2022 commencing number field sieve (216-digit input)
  8. Fri Sep 30 18:43:18 2022 R0: 938901241414509373634771058748567682882
  9. Fri Sep 30 18:43:18 2022 R1: -30641495417399415391
  10. Fri Sep 30 18:43:18 2022 A0: -1
  11. Fri Sep 30 18:43:18 2022 A1: 3
  12. Fri Sep 30 18:43:18 2022 A2: 6
  13. Fri Sep 30 18:43:18 2022 A3: -4
  14. Fri Sep 30 18:43:18 2022 A4: -5
  15. Fri Sep 30 18:43:18 2022 A5: 1
  16. Fri Sep 30 18:43:18 2022 A6: 1
  17. Fri Sep 30 18:43:18 2022 skew 1.00, size 1.651e-11, alpha 3.126, combined = 8.994e-13 rroots = 6
  18. Fri Sep 30 18:43:18 2022
  19. Fri Sep 30 18:43:18 2022 commencing relation filtering
  20. Fri Sep 30 18:43:18 2022 setting target matrix density to 110.0
  21. Fri Sep 30 18:43:18 2022 estimated available RAM is 15954.6 MB
  22. Fri Sep 30 18:43:18 2022 commencing duplicate removal, pass 1
  23. Fri Sep 30 18:52:00 2022
  24. Fri Sep 30 18:52:00 2022
  25. Fri Sep 30 18:52:00 2022 Msieve v. 1.54 (SVN Unversioned directory)
  26. Fri Sep 30 18:52:00 2022 random seeds: a3cccf5a 868da09f
  27. Fri Sep 30 18:52:00 2022 factoring 659891172776452697147024651922618805128658008812109090845884569982366333226186888819502066143914616310769144387194092222265123852797774646449591031167513751345001797837958388202509028238167863467831080749257525997971 (216 digits)
  28. Fri Sep 30 18:52:01 2022 searching for 15-digit factors
  29. Fri Sep 30 18:52:02 2022 commencing number field sieve (216-digit input)
  30. Fri Sep 30 18:52:02 2022 R0: 938901241414509373634771058748567682882
  31. Fri Sep 30 18:52:02 2022 R1: -30641495417399415391
  32. Fri Sep 30 18:52:02 2022 A0: -1
  33. Fri Sep 30 18:52:02 2022 A1: 3
  34. Fri Sep 30 18:52:02 2022 A2: 6
  35. Fri Sep 30 18:52:02 2022 A3: -4
  36. Fri Sep 30 18:52:02 2022 A4: -5
  37. Fri Sep 30 18:52:02 2022 A5: 1
  38. Fri Sep 30 18:52:02 2022 A6: 1
  39. Fri Sep 30 18:52:02 2022 skew 1.00, size 1.651e-11, alpha 3.126, combined = 8.994e-13 rroots = 6
  40. Fri Sep 30 18:52:02 2022
  41. Fri Sep 30 18:52:02 2022 commencing relation filtering
  42. Fri Sep 30 18:52:02 2022 setting target matrix density to 110.0
  43. Fri Sep 30 18:52:02 2022 estimated available RAM is 15954.6 MB
  44. Fri Sep 30 18:52:02 2022 commencing duplicate removal, pass 1
  45. Fri Sep 30 19:14:54 2022 skipped 9 relations with b > 2^32
  46. Fri Sep 30 19:14:54 2022 skipped 2 relations with composite factors
  47. Fri Sep 30 19:14:54 2022 found 4514114 hash collisions in 101582992 relations
  48. Fri Sep 30 19:15:09 2022 added 2438358 free relations
  49. Fri Sep 30 19:15:09 2022 commencing duplicate removal, pass 2
  50. Fri Sep 30 19:16:22 2022 found 0 duplicates and 104021350 unique relations
  51. Fri Sep 30 19:16:22 2022 memory use: 261.2 MB
  52. Fri Sep 30 19:16:22 2022 reading ideals above 77529088
  53. Fri Sep 30 19:16:22 2022 commencing singleton removal, initial pass
  54. Fri Sep 30 19:38:24 2022 memory use: 2756.0 MB
  55. Fri Sep 30 19:38:24 2022 reading all ideals from disk
  56. Fri Sep 30 19:38:27 2022 memory use: 1898.0 MB
  57. Fri Sep 30 19:38:54 2022 commencing in-memory singleton removal
  58. Fri Sep 30 19:39:20 2022 begin with 104021350 relations and 83584048 unique ideals
  59. Fri Sep 30 19:43:58 2022 reduce to 71833445 relations and 48416642 ideals in 13 passes
  60. Fri Sep 30 19:43:58 2022 max relations containing the same ideal: 45
  61. Fri Sep 30 19:44:17 2022 reading ideals above 720000
  62. Fri Sep 30 19:44:17 2022 commencing singleton removal, initial pass
  63. Fri Sep 30 20:08:19 2022 memory use: 1506.0 MB
  64. Fri Sep 30 20:08:20 2022 reading all ideals from disk
  65. Fri Sep 30 20:08:25 2022 memory use: 2725.5 MB
  66. Fri Sep 30 20:09:06 2022 keeping 57116041 ideals with weight <= 200, target excess is 367588
  67. Fri Sep 30 20:09:52 2022 commencing in-memory singleton removal
  68. Fri Sep 30 20:10:28 2022 begin with 71833446 relations and 57116041 unique ideals
  69. Fri Sep 30 20:13:01 2022 reduce to 71833235 relations and 57115828 ideals in 4 passes
  70. Fri Sep 30 20:13:01 2022 max relations containing the same ideal: 200
  71. Fri Sep 30 20:15:56 2022 removing 8321202 relations and 6321202 ideals in 2000000 cliques
  72. Fri Sep 30 20:16:03 2022 commencing in-memory singleton removal
  73. Fri Sep 30 20:16:35 2022 begin with 63512033 relations and 57115828 unique ideals
  74. Fri Sep 30 20:20:27 2022 reduce to 62687167 relations and 49941532 ideals in 7 passes
  75. Fri Sep 30 20:20:27 2022 max relations containing the same ideal: 191
  76. Fri Sep 30 20:23:00 2022 removing 6775075 relations and 4775075 ideals in 2000000 cliques
  77. Fri Sep 30 20:23:07 2022 commencing in-memory singleton removal
  78. Fri Sep 30 20:23:33 2022 begin with 55912092 relations and 49941532 unique ideals
  79. Fri Sep 30 20:27:19 2022 reduce to 55324535 relations and 44559860 ideals in 8 passes
  80. Fri Sep 30 20:27:19 2022 max relations containing the same ideal: 179
  81. Fri Sep 30 20:29:33 2022 removing 6317606 relations and 4317606 ideals in 2000000 cliques
  82. Fri Sep 30 20:29:39 2022 commencing in-memory singleton removal
  83. Fri Sep 30 20:30:01 2022 begin with 49006929 relations and 44559860 unique ideals
  84. Fri Sep 30 20:32:47 2022 reduce to 48460253 relations and 39677085 ideals in 7 passes
  85. Fri Sep 30 20:32:47 2022 max relations containing the same ideal: 169
  86. Fri Sep 30 20:34:42 2022 removing 6097074 relations and 4097074 ideals in 2000000 cliques
  87. Fri Sep 30 20:34:48 2022 commencing in-memory singleton removal
  88. Fri Sep 30 20:35:07 2022 begin with 42363179 relations and 39677085 unique ideals
  89. Fri Sep 30 20:37:47 2022 reduce to 41810060 relations and 35006324 ideals in 8 passes
  90. Fri Sep 30 20:37:47 2022 max relations containing the same ideal: 152
  91. Fri Sep 30 20:39:25 2022 removing 5970175 relations and 3970175 ideals in 2000000 cliques
  92. Fri Sep 30 20:39:30 2022 commencing in-memory singleton removal
  93. Fri Sep 30 20:39:45 2022 begin with 35839885 relations and 35006324 unique ideals
  94. Fri Sep 30 20:41:53 2022 reduce to 35252235 relations and 30423109 ideals in 8 passes
  95. Fri Sep 30 20:41:53 2022 max relations containing the same ideal: 134
  96. Fri Sep 30 20:43:13 2022 removing 5892181 relations and 3892181 ideals in 2000000 cliques
  97. Fri Sep 30 20:43:18 2022 commencing in-memory singleton removal
  98. Fri Sep 30 20:43:29 2022 begin with 29360054 relations and 30423109 unique ideals
  99. Fri Sep 30 20:44:57 2022 reduce to 28710812 relations and 25849321 ideals in 7 passes
  100. Fri Sep 30 20:44:57 2022 max relations containing the same ideal: 115
  101. Fri Sep 30 20:46:02 2022 removing 5827802 relations and 3827802 ideals in 2000000 cliques
  102. Fri Sep 30 20:46:06 2022 commencing in-memory singleton removal
  103. Fri Sep 30 20:46:15 2022 begin with 22883010 relations and 25849321 unique ideals
  104. Fri Sep 30 20:47:28 2022 reduce to 22119980 relations and 21211362 ideals in 8 passes
  105. Fri Sep 30 20:47:28 2022 max relations containing the same ideal: 103
  106. Fri Sep 30 20:48:15 2022 removing 1849365 relations and 1367150 ideals in 482215 cliques
  107. Fri Sep 30 20:48:18 2022 commencing in-memory singleton removal
  108. Fri Sep 30 20:48:25 2022 begin with 20270615 relations and 21211362 unique ideals
  109. Fri Sep 30 20:49:21 2022 reduce to 20148239 relations and 19719359 ideals in 7 passes
  110. Fri Sep 30 20:49:21 2022 max relations containing the same ideal: 96
  111. Fri Sep 30 20:50:09 2022 relations with 0 large ideals: 27502
  112. Fri Sep 30 20:50:09 2022 relations with 1 large ideals: 5818
  113. Fri Sep 30 20:50:09 2022 relations with 2 large ideals: 48911
  114. Fri Sep 30 20:50:09 2022 relations with 3 large ideals: 356345
  115. Fri Sep 30 20:50:09 2022 relations with 4 large ideals: 1428855
  116. Fri Sep 30 20:50:09 2022 relations with 5 large ideals: 3419893
  117. Fri Sep 30 20:50:09 2022 relations with 6 large ideals: 5119706
  118. Fri Sep 30 20:50:09 2022 relations with 7+ large ideals: 9741209
  119. Fri Sep 30 20:50:09 2022 commencing 2-way merge
  120. Fri Sep 30 20:51:04 2022 reduce to 13741505 relation sets and 13312625 unique ideals
  121. Fri Sep 30 20:51:04 2022 commencing full merge
  122. Fri Sep 30 21:01:49 2022 memory use: 1855.5 MB
  123. Fri Sep 30 21:01:50 2022 found 6349324 cycles, need 6324825
  124. Fri Sep 30 21:01:52 2022 weight of 6324825 cycles is about 696460728 (110.12/cycle)
  125. Fri Sep 30 21:01:52 2022 distribution of cycle lengths:
  126. Fri Sep 30 21:01:52 2022 1 relations: 265742
  127. Fri Sep 30 21:01:52 2022 2 relations: 380962
  128. Fri Sep 30 21:01:52 2022 3 relations: 462802
  129. Fri Sep 30 21:01:52 2022 4 relations: 487156
  130. Fri Sep 30 21:01:52 2022 5 relations: 502086
  131. Fri Sep 30 21:01:52 2022 6 relations: 496762
  132. Fri Sep 30 21:01:52 2022 7 relations: 481793
  133. Fri Sep 30 21:01:52 2022 8 relations: 455806
  134. Fri Sep 30 21:01:52 2022 9 relations: 421598
  135. Fri Sep 30 21:01:52 2022 10+ relations: 2370118
  136. Fri Sep 30 21:01:52 2022 heaviest cycle: 28 relations
  137. Fri Sep 30 21:01:53 2022 commencing cycle optimization
  138. Fri Sep 30 21:02:03 2022 start with 54139243 relations
  139. Fri Sep 30 21:03:41 2022 pruned 2574097 relations
  140. Fri Sep 30 21:03:41 2022 memory use: 1400.3 MB
  141. Fri Sep 30 21:03:41 2022 distribution of cycle lengths:
  142. Fri Sep 30 21:03:41 2022 1 relations: 265742
  143. Fri Sep 30 21:03:41 2022 2 relations: 390005
  144. Fri Sep 30 21:03:41 2022 3 relations: 482271
  145. Fri Sep 30 21:03:41 2022 4 relations: 508461
  146. Fri Sep 30 21:03:41 2022 5 relations: 528506
  147. Fri Sep 30 21:03:41 2022 6 relations: 522769
  148. Fri Sep 30 21:03:41 2022 7 relations: 508277
  149. Fri Sep 30 21:03:41 2022 8 relations: 478325
  150. Fri Sep 30 21:03:41 2022 9 relations: 440587
  151. Fri Sep 30 21:03:41 2022 10+ relations: 2199882
  152. Fri Sep 30 21:03:41 2022 heaviest cycle: 28 relations
  153. Fri Sep 30 21:03:52 2022 RelProcTime: 7910
  154. Fri Sep 30 21:03:52 2022
  155. Fri Sep 30 21:03:52 2022 commencing linear algebra
  156. Fri Sep 30 21:03:52 2022 using VBITS=256
  157. Fri Sep 30 21:03:52 2022 read 6324825 cycles
  158. Fri Sep 30 21:04:02 2022 cycles contain 19922100 unique relations
  159. Fri Sep 30 21:05:31 2022 read 19922100 relations
  160. Fri Sep 30 21:05:56 2022 using 20 quadratic characters above 4294917295
  161. Fri Sep 30 21:07:04 2022 building initial matrix
  162. Fri Sep 30 21:10:28 2022 memory use: 2465.1 MB
  163. Fri Sep 30 21:10:30 2022 read 6324825 cycles
  164. Fri Sep 30 21:10:31 2022 matrix is 6324647 x 6324825 (2724.7 MB) with weight 772613059 (122.16/col)
  165. Fri Sep 30 21:10:31 2022 sparse part has weight 651024324 (102.93/col)
  166. Fri Sep 30 21:11:33 2022 filtering completed in 2 passes
  167. Fri Sep 30 21:11:34 2022 matrix is 6324516 x 6324678 (2724.7 MB) with weight 772609045 (122.16/col)
  168. Fri Sep 30 21:11:34 2022 sparse part has weight 651022893 (102.93/col)
  169. Fri Sep 30 21:11:47 2022 matrix starts at (0, 0)
  170. Fri Sep 30 21:11:48 2022 matrix is 6324516 x 6324678 (2724.7 MB) with weight 772609045 (122.16/col)
  171. Fri Sep 30 21:11:48 2022 sparse part has weight 651022893 (102.93/col)
  172. Fri Sep 30 21:11:48 2022 saving the first 240 matrix rows for later
  173. Fri Sep 30 21:11:49 2022 matrix includes 256 packed rows
  174. Fri Sep 30 21:11:51 2022 matrix is 6324276 x 6324678 (2518.2 MB) with weight 589817541 (93.26/col)
  175. Fri Sep 30 21:11:51 2022 sparse part has weight 558949134 (88.38/col)
  176. Fri Sep 30 21:11:52 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  177. Fri Sep 30 21:11:52 2022 selected card has CUDA arch 7.5
  178. Fri Sep 30 21:12:42 2022 commencing Lanczos iteration
  179. Fri Sep 30 21:15:01 2022
  180. Fri Sep 30 21:15:01 2022
  181. Fri Sep 30 21:15:01 2022 Msieve v. 1.54 (SVN Unversioned directory)
  182. Fri Sep 30 21:15:01 2022 random seeds: c25317e1 fadc3207
  183. Fri Sep 30 21:15:01 2022 factoring 659891172776452697147024651922618805128658008812109090845884569982366333226186888819502066143914616310769144387194092222265123852797774646449591031167513751345001797837958388202509028238167863467831080749257525997971 (216 digits)
  184. Fri Sep 30 21:15:02 2022 searching for 15-digit factors
  185. Fri Sep 30 21:15:02 2022 commencing number field sieve (216-digit input)
  186. Fri Sep 30 21:15:02 2022 R0: 938901241414509373634771058748567682882
  187. Fri Sep 30 21:15:02 2022 R1: -30641495417399415391
  188. Fri Sep 30 21:15:02 2022 A0: -1
  189. Fri Sep 30 21:15:02 2022 A1: 3
  190. Fri Sep 30 21:15:02 2022 A2: 6
  191. Fri Sep 30 21:15:02 2022 A3: -4
  192. Fri Sep 30 21:15:02 2022 A4: -5
  193. Fri Sep 30 21:15:02 2022 A5: 1
  194. Fri Sep 30 21:15:02 2022 A6: 1
  195. Fri Sep 30 21:15:02 2022 skew 1.00, size 1.651e-11, alpha 3.126, combined = 8.994e-13 rroots = 6
  196. Fri Sep 30 21:15:02 2022
  197. Fri Sep 30 21:15:02 2022 commencing linear algebra
  198. Fri Sep 30 21:15:02 2022 using VBITS=256
  199. Fri Sep 30 21:15:02 2022 skipping matrix build
  200. Fri Sep 30 21:15:07 2022 matrix starts at (0, 0)
  201. Fri Sep 30 21:15:08 2022 matrix is 6324516 x 6324678 (2724.7 MB) with weight 772609045 (122.16/col)
  202. Fri Sep 30 21:15:08 2022 sparse part has weight 651022893 (102.93/col)
  203. Fri Sep 30 21:15:08 2022 saving the first 240 matrix rows for later
  204. Fri Sep 30 21:15:09 2022 matrix includes 256 packed rows
  205. Fri Sep 30 21:15:12 2022 matrix is 6324276 x 6324678 (2518.2 MB) with weight 589817541 (93.26/col)
  206. Fri Sep 30 21:15:12 2022 sparse part has weight 558949134 (88.38/col)
  207. Fri Sep 30 21:15:12 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  208. Fri Sep 30 21:15:12 2022 selected card has CUDA arch 7.5
  209. Fri Sep 30 21:15:57 2022 commencing Lanczos iteration
  210. Fri Sep 30 21:15:57 2022 memory use: 5856.8 MB
  211. Fri Sep 30 21:17:15 2022 linear algebra at 0.1%, ETA 17h25m
  212. Fri Sep 30 21:17:18 2022 checkpointing every 370000 dimensions
  213. Sat Oct 1 19:19:16 2022 lanczos halted after 24780 iterations (dim = 6324271)
  214. Sat Oct 1 19:21:17 2022 recovered 31 nontrivial dependencies
  215. Sat Oct 1 19:21:18 2022 BLanczosTime: 79576
  216. Sat Oct 1 19:21:18 2022
  217. Sat Oct 1 19:21:18 2022 commencing square root phase
  218. Sat Oct 1 19:21:18 2022 handling dependencies 1 to 64
  219. Sat Oct 1 19:21:18 2022 reading relations for dependency 1
  220. Sat Oct 1 19:21:21 2022 read 3162186 cycles
  221. Sat Oct 1 19:21:43 2022 cycles contain 9957404 unique relations
  222. Sat Oct 1 19:23:36 2022 read 9957404 relations
  223. Sat Oct 1 19:26:08 2022 multiplying 9957404 relations
  224. Sat Oct 1 19:39:41 2022 multiply complete, coefficients have about 244.10 million bits
  225. Sat Oct 1 19:39:44 2022 initial square root is modulo 575299099
  226. Sat Oct 1 19:56:03 2022 GCD is 1, no factor found
  227. Sat Oct 1 19:56:03 2022 reading relations for dependency 2
  228. Sat Oct 1 19:56:05 2022 read 3164250 cycles
  229. Sat Oct 1 19:56:31 2022 cycles contain 9965518 unique relations
  230. Sat Oct 1 19:58:27 2022 read 9965518 relations
  231. Sat Oct 1 20:01:06 2022 multiplying 9965518 relations
  232. Sat Oct 1 20:14:26 2022 multiply complete, coefficients have about 244.30 million bits
  233. Sat Oct 1 20:14:30 2022 initial square root is modulo 584992129
  234. Sat Oct 1 20:30:30 2022 found factor: 16530104594075283379808787750972404541858659394327093704510994908634762928747
  235. Sat Oct 1 20:30:30 2022 reading relations for dependency 3
  236. Sat Oct 1 20:30:32 2022 read 3162446 cycles
  237. Sat Oct 1 20:30:58 2022 cycles contain 9959878 unique relations
  238. Sat Oct 1 20:32:53 2022 read 9959878 relations
  239. Sat Oct 1 20:35:35 2022 multiplying 9959878 relations
  240. Sat Oct 1 20:48:59 2022 multiply complete, coefficients have about 244.15 million bits
  241. Sat Oct 1 20:49:02 2022 initial square root is modulo 577933471
  242. Sat Oct 1 21:05:09 2022 GCD is 1, no factor found
  243. Sat Oct 1 21:05:09 2022 reading relations for dependency 4
  244. Sat Oct 1 21:05:11 2022 read 3161611 cycles
  245. Sat Oct 1 21:05:37 2022 cycles contain 9962988 unique relations
  246. Sat Oct 1 21:07:32 2022 read 9962988 relations
  247. Sat Oct 1 21:10:16 2022 multiplying 9962988 relations
  248. Sat Oct 1 21:23:37 2022 multiply complete, coefficients have about 244.23 million bits
  249. Sat Oct 1 21:23:40 2022 initial square root is modulo 581725267
  250. Sat Oct 1 21:39:44 2022 found factor: 16530104594075283379808787750972404541858659394327093704510994908634762928747
  251. Sat Oct 1 21:39:44 2022 reading relations for dependency 5
  252. Sat Oct 1 21:39:46 2022 read 3164412 cycles
  253. Sat Oct 1 21:40:11 2022 cycles contain 9965124 unique relations
  254. Sat Oct 1 21:42:07 2022 read 9965124 relations
  255. Sat Oct 1 21:44:52 2022 multiplying 9965124 relations
  256. Sat Oct 1 21:58:11 2022 multiply complete, coefficients have about 244.29 million bits
  257. Sat Oct 1 21:58:14 2022 initial square root is modulo 584351809
  258. Sat Oct 1 22:14:13 2022 sqrtTime: 10375
  259. Sat Oct 1 22:14:13 2022 p70 factor: 5748424191363917052150012144676639174852975638861606172998112444990609
  260. Sat Oct 1 22:14:13 2022 p70 factor: 6944610761497517067441449696711782953152489892445799783200221564086377
  261. Sat Oct 1 22:14:13 2022 p77 factor: 16530104594075283379808787750972404541858659394327093704510994908634762928747
  262. Sat Oct 1 22:14:13 2022 elapsed time 24:59:12
  263.  
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