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Feb 10th, 2022
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  1. Wed Feb 9 06:52:32 2022
  2. Wed Feb 9 06:52:32 2022
  3. Wed Feb 9 06:52:32 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Feb 9 06:52:32 2022 random seeds: 6823832c 136bb4fd
  5. Wed Feb 9 06:52:32 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
  6. Wed Feb 9 06:52:33 2022 searching for 15-digit factors
  7. Wed Feb 9 06:52:33 2022 commencing number field sieve (172-digit input)
  8. Wed Feb 9 06:52:33 2022 R0: 645053789743325031032852254296596920561
  9. Wed Feb 9 06:52:33 2022 R1: -1
  10. Wed Feb 9 06:52:33 2022 A0: 1
  11. Wed Feb 9 06:52:33 2022 A1: 1
  12. Wed Feb 9 06:52:33 2022 A2: 1
  13. Wed Feb 9 06:52:33 2022 A3: 1
  14. Wed Feb 9 06:52:33 2022 A4: 1
  15. Wed Feb 9 06:52:33 2022 A5: 1
  16. Wed Feb 9 06:52:33 2022 A6: 1
  17. Wed Feb 9 06:52:33 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
  18. Wed Feb 9 06:52:33 2022
  19. Wed Feb 9 06:52:33 2022 commencing relation filtering
  20. Wed Feb 9 06:52:33 2022 setting target matrix density to 120.0
  21. Wed Feb 9 06:52:33 2022 estimated available RAM is 16384.0 MB
  22. Wed Feb 9 06:52:33 2022 commencing duplicate removal, pass 1
  23. Wed Feb 9 06:58:57 2022 skipped 18 relations with b > 2^32
  24. Wed Feb 9 06:58:57 2022 skipped 1 relations with composite factors
  25. Wed Feb 9 06:58:57 2022 found 2483094 hash collisions in 104914567 relations
  26. Wed Feb 9 06:59:02 2022 added 2438534 free relations
  27. Wed Feb 9 06:59:02 2022 commencing duplicate removal, pass 2
  28. Wed Feb 9 06:59:19 2022 found 0 duplicates and 104916355 unique relations
  29. Wed Feb 9 06:59:19 2022 memory use: 322.6 MB
  30. Wed Feb 9 06:59:19 2022 reading ideals above 72941568
  31. Wed Feb 9 06:59:19 2022 commencing singleton removal, initial pass
  32. Wed Feb 9 07:04:19 2022 memory use: 2756.0 MB
  33. Wed Feb 9 07:04:19 2022 reading all ideals from disk
  34. Wed Feb 9 07:04:20 2022 memory use: 1911.6 MB
  35. Wed Feb 9 07:04:21 2022 commencing in-memory singleton removal
  36. Wed Feb 9 07:04:23 2022 begin with 104914567 relations and 84494152 unique ideals
  37. Wed Feb 9 07:04:41 2022 reduce to 72238674 relations and 48849376 ideals in 13 passes
  38. Wed Feb 9 07:04:41 2022 max relations containing the same ideal: 44
  39. Wed Feb 9 07:04:44 2022 reading ideals above 720000
  40. Wed Feb 9 07:04:44 2022 commencing singleton removal, initial pass
  41. Wed Feb 9 07:09:06 2022 memory use: 1506.0 MB
  42. Wed Feb 9 07:09:06 2022 reading all ideals from disk
  43. Wed Feb 9 07:09:07 2022 memory use: 2741.4 MB
  44. Wed Feb 9 07:09:10 2022 keeping 57024445 ideals with weight <= 200, target excess is 385962
  45. Wed Feb 9 07:09:13 2022 commencing in-memory singleton removal
  46. Wed Feb 9 07:09:16 2022 begin with 72238674 relations and 57024445 unique ideals
  47. Wed Feb 9 07:09:32 2022 reduce to 72237730 relations and 57023501 ideals in 7 passes
  48. Wed Feb 9 07:09:32 2022 max relations containing the same ideal: 200
  49. Wed Feb 9 07:09:46 2022 removing 8577768 relations and 6577768 ideals in 2000000 cliques
  50. Wed Feb 9 07:09:48 2022 commencing in-memory singleton removal
  51. Wed Feb 9 07:09:50 2022 begin with 63659962 relations and 57023501 unique ideals
  52. Wed Feb 9 07:10:07 2022 reduce to 62885644 relations and 49645840 ideals in 8 passes
  53. Wed Feb 9 07:10:07 2022 max relations containing the same ideal: 192
  54. Wed Feb 9 07:10:19 2022 removing 6770245 relations and 4770245 ideals in 2000000 cliques
  55. Wed Feb 9 07:10:20 2022 commencing in-memory singleton removal
  56. Wed Feb 9 07:10:22 2022 begin with 56115399 relations and 49645840 unique ideals
  57. Wed Feb 9 07:10:37 2022 reduce to 55571039 relations and 44314301 ideals in 8 passes
  58. Wed Feb 9 07:10:37 2022 max relations containing the same ideal: 176
  59. Wed Feb 9 07:10:48 2022 removing 6282681 relations and 4282681 ideals in 2000000 cliques
  60. Wed Feb 9 07:10:49 2022 commencing in-memory singleton removal
  61. Wed Feb 9 07:10:51 2022 begin with 49288358 relations and 44314301 unique ideals
  62. Wed Feb 9 07:11:02 2022 reduce to 48795375 relations and 39522489 ideals in 7 passes
  63. Wed Feb 9 07:11:02 2022 max relations containing the same ideal: 163
  64. Wed Feb 9 07:11:12 2022 removing 6035450 relations and 4035450 ideals in 2000000 cliques
  65. Wed Feb 9 07:11:13 2022 commencing in-memory singleton removal
  66. Wed Feb 9 07:11:14 2022 begin with 42759925 relations and 39522489 unique ideals
  67. Wed Feb 9 07:11:24 2022 reduce to 42274179 relations and 34983736 ideals in 7 passes
  68. Wed Feb 9 07:11:24 2022 max relations containing the same ideal: 150
  69. Wed Feb 9 07:11:32 2022 removing 5882233 relations and 3882233 ideals in 2000000 cliques
  70. Wed Feb 9 07:11:33 2022 commencing in-memory singleton removal
  71. Wed Feb 9 07:11:35 2022 begin with 36391946 relations and 34983736 unique ideals
  72. Wed Feb 9 07:11:43 2022 reduce to 35891188 relations and 30580828 ideals in 7 passes
  73. Wed Feb 9 07:11:43 2022 max relations containing the same ideal: 136
  74. Wed Feb 9 07:11:50 2022 removing 5769825 relations and 3769825 ideals in 2000000 cliques
  75. Wed Feb 9 07:11:51 2022 commencing in-memory singleton removal
  76. Wed Feb 9 07:11:52 2022 begin with 30121363 relations and 30580828 unique ideals
  77. Wed Feb 9 07:11:59 2022 reduce to 29579972 relations and 26244325 ideals in 7 passes
  78. Wed Feb 9 07:11:59 2022 max relations containing the same ideal: 118
  79. Wed Feb 9 07:12:05 2022 removing 5684899 relations and 3684899 ideals in 2000000 cliques
  80. Wed Feb 9 07:12:06 2022 commencing in-memory singleton removal
  81. Wed Feb 9 07:12:07 2022 begin with 23895073 relations and 26244325 unique ideals
  82. Wed Feb 9 07:12:12 2022 reduce to 23264639 relations and 21893618 ideals in 7 passes
  83. Wed Feb 9 07:12:12 2022 max relations containing the same ideal: 102
  84. Wed Feb 9 07:12:17 2022 removing 2999734 relations and 2076429 ideals in 923305 cliques
  85. Wed Feb 9 07:12:17 2022 commencing in-memory singleton removal
  86. Wed Feb 9 07:12:18 2022 begin with 20264905 relations and 21893618 unique ideals
  87. Wed Feb 9 07:12:23 2022 reduce to 20004372 relations and 19547260 ideals in 8 passes
  88. Wed Feb 9 07:12:23 2022 max relations containing the same ideal: 89
  89. Wed Feb 9 07:12:27 2022 removing 60029 relations and 50633 ideals in 9396 cliques
  90. Wed Feb 9 07:12:27 2022 commencing in-memory singleton removal
  91. Wed Feb 9 07:12:28 2022 begin with 19944343 relations and 19547260 unique ideals
  92. Wed Feb 9 07:12:30 2022 reduce to 19944248 relations and 19496532 ideals in 4 passes
  93. Wed Feb 9 07:12:30 2022 max relations containing the same ideal: 89
  94. Wed Feb 9 07:12:32 2022 relations with 0 large ideals: 0
  95. Wed Feb 9 07:12:32 2022 relations with 1 large ideals: 3302
  96. Wed Feb 9 07:12:32 2022 relations with 2 large ideals: 58855
  97. Wed Feb 9 07:12:32 2022 relations with 3 large ideals: 425195
  98. Wed Feb 9 07:12:32 2022 relations with 4 large ideals: 1637044
  99. Wed Feb 9 07:12:32 2022 relations with 5 large ideals: 3741723
  100. Wed Feb 9 07:12:32 2022 relations with 6 large ideals: 5335593
  101. Wed Feb 9 07:12:32 2022 relations with 7+ large ideals: 8742536
  102. Wed Feb 9 07:12:32 2022 commencing 2-way merge
  103. Wed Feb 9 07:12:38 2022 reduce to 13621050 relation sets and 13173334 unique ideals
  104. Wed Feb 9 07:12:38 2022 commencing full merge
  105. Wed Feb 9 07:15:01 2022 memory use: 1675.0 MB
  106. Wed Feb 9 07:15:03 2022 found 6154543 cycles, need 6119534
  107. Wed Feb 9 07:15:03 2022 weight of 6119534 cycles is about 735111635 (120.13/cycle)
  108. Wed Feb 9 07:15:03 2022 distribution of cycle lengths:
  109. Wed Feb 9 07:15:03 2022 1 relations: 152048
  110. Wed Feb 9 07:15:03 2022 2 relations: 326380
  111. Wed Feb 9 07:15:03 2022 3 relations: 426393
  112. Wed Feb 9 07:15:03 2022 4 relations: 466903
  113. Wed Feb 9 07:15:03 2022 5 relations: 498347
  114. Wed Feb 9 07:15:03 2022 6 relations: 501545
  115. Wed Feb 9 07:15:03 2022 7 relations: 497025
  116. Wed Feb 9 07:15:03 2022 8 relations: 471853
  117. Wed Feb 9 07:15:03 2022 9 relations: 437044
  118. Wed Feb 9 07:15:03 2022 10+ relations: 2341996
  119. Wed Feb 9 07:15:03 2022 heaviest cycle: 27 relations
  120. Wed Feb 9 07:15:03 2022 commencing cycle optimization
  121. Wed Feb 9 07:15:09 2022 start with 53166541 relations
  122. Wed Feb 9 07:16:17 2022 pruned 2746926 relations
  123. Wed Feb 9 07:16:17 2022 memory use: 1381.4 MB
  124. Wed Feb 9 07:16:17 2022 distribution of cycle lengths:
  125. Wed Feb 9 07:16:17 2022 1 relations: 152048
  126. Wed Feb 9 07:16:17 2022 2 relations: 336766
  127. Wed Feb 9 07:16:17 2022 3 relations: 448305
  128. Wed Feb 9 07:16:17 2022 4 relations: 491027
  129. Wed Feb 9 07:16:17 2022 5 relations: 529144
  130. Wed Feb 9 07:16:17 2022 6 relations: 531859
  131. Wed Feb 9 07:16:17 2022 7 relations: 528868
  132. Wed Feb 9 07:16:17 2022 8 relations: 497379
  133. Wed Feb 9 07:16:17 2022 9 relations: 458838
  134. Wed Feb 9 07:16:17 2022 10+ relations: 2145300
  135. Wed Feb 9 07:16:17 2022 heaviest cycle: 27 relations
  136. Wed Feb 9 07:16:20 2022 RelProcTime: 1427
  137. Wed Feb 9 07:16:20 2022
  138. Wed Feb 9 07:16:20 2022 commencing linear algebra
  139. Wed Feb 9 07:16:20 2022 read 6119534 cycles
  140. Wed Feb 9 07:16:26 2022 cycles contain 19732224 unique relations
  141. Wed Feb 9 07:17:12 2022 read 19732224 relations
  142. Wed Feb 9 07:17:38 2022 using 20 quadratic characters above 4294917295
  143. Wed Feb 9 07:18:24 2022 building initial matrix
  144. Wed Feb 9 07:20:45 2022 memory use: 2489.2 MB
  145. Wed Feb 9 07:20:47 2022 read 6119534 cycles
  146. Wed Feb 9 07:20:48 2022 matrix is 6119357 x 6119534 (2842.4 MB) with weight 807993927 (132.04/col)
  147. Wed Feb 9 07:20:48 2022 sparse part has weight 677800739 (110.76/col)
  148. Wed Feb 9 07:21:22 2022 filtering completed in 2 passes
  149. Wed Feb 9 07:21:23 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
  150. Wed Feb 9 07:21:23 2022 sparse part has weight 677799879 (110.76/col)
  151. Wed Feb 9 07:21:31 2022 matrix starts at (0, 0)
  152. Wed Feb 9 07:21:32 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
  153. Wed Feb 9 07:21:32 2022 sparse part has weight 677799879 (110.76/col)
  154. Wed Feb 9 07:21:32 2022 saving the first 48 matrix rows for later
  155. Wed Feb 9 07:21:32 2022 matrix includes 64 packed rows
  156. Wed Feb 9 07:21:33 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
  157. Wed Feb 9 07:21:33 2022 sparse part has weight 650617898 (106.32/col)
  158. Wed Feb 9 07:21:33 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
  159. Wed Feb 9 07:21:49 2022 commencing Lanczos iteration
  160. Wed Feb 9 07:21:49 2022 memory use: 2573.0 MB
  161. Wed Feb 9 07:22:22 2022 linear algebra at 0.0%, ETA 34h51m
  162. Wed Feb 9 07:22:32 2022 checkpointing every 180000 dimensions
  163. Wed Feb 9 07:48:56 2022 lanczos halted after 1239 iterations (dim = 78324)
  164. Wed Feb 9 07:48:56 2022 BLanczosTime: 1956
  165. Wed Feb 9 07:48:56 2022
  166. Wed Feb 9 07:48:56 2022 commencing square root phase
  167. Wed Feb 9 07:48:56 2022 handling dependencies 1 to 64
  168. Wed Feb 9 07:48:56 2022 reading relations for dependency 1
  169. Wed Feb 9 07:48:56 2022 error: read_cycles can't open dependency file
  170. Wed Feb 9 07:49:12 2022
  171. Wed Feb 9 07:49:12 2022
  172. Wed Feb 9 07:49:12 2022 Msieve v. 1.54 (SVN unknown)
  173. Wed Feb 9 07:49:12 2022 random seeds: 8de756bd 5b6c35a4
  174. Wed Feb 9 07:49:12 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
  175. Wed Feb 9 07:49:13 2022 searching for 15-digit factors
  176. Wed Feb 9 07:49:13 2022 commencing number field sieve (172-digit input)
  177. Wed Feb 9 07:49:13 2022 R0: 645053789743325031032852254296596920561
  178. Wed Feb 9 07:49:13 2022 R1: -1
  179. Wed Feb 9 07:49:13 2022 A0: 1
  180. Wed Feb 9 07:49:13 2022 A1: 1
  181. Wed Feb 9 07:49:13 2022 A2: 1
  182. Wed Feb 9 07:49:13 2022 A3: 1
  183. Wed Feb 9 07:49:13 2022 A4: 1
  184. Wed Feb 9 07:49:13 2022 A5: 1
  185. Wed Feb 9 07:49:13 2022 A6: 1
  186. Wed Feb 9 07:49:13 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
  187. Wed Feb 9 07:49:13 2022
  188. Wed Feb 9 07:49:13 2022 commencing linear algebra
  189. Wed Feb 9 07:49:14 2022 matrix starts at (0, 0)
  190. Wed Feb 9 07:49:14 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
  191. Wed Feb 9 07:49:14 2022 sparse part has weight 677799879 (110.76/col)
  192. Wed Feb 9 07:49:14 2022 saving the first 48 matrix rows for later
  193. Wed Feb 9 07:49:15 2022 matrix includes 64 packed rows
  194. Wed Feb 9 07:49:15 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
  195. Wed Feb 9 07:49:15 2022 sparse part has weight 650617898 (106.32/col)
  196. Wed Feb 9 07:49:15 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
  197. Wed Feb 9 07:49:31 2022 commencing Lanczos iteration (4 threads)
  198. Wed Feb 9 07:49:31 2022 memory use: 2573.0 MB
  199. Wed Feb 9 07:49:32 2022 restarting at iteration 1239 (dim = 78324)
  200. Wed Feb 9 07:49:42 2022 linear algebra at 1.3%, ETA 11h 2m
  201. Wed Feb 9 07:49:44 2022 checkpointing every 520000 dimensions
  202. Wed Feb 9 09:10:46 2022 lanczos halted after 10544 iterations (dim = 666755)
  203. Wed Feb 9 09:10:46 2022 BLanczosTime: 4893
  204. Wed Feb 9 09:10:46 2022
  205. Wed Feb 9 09:10:46 2022 commencing square root phase
  206. Wed Feb 9 09:10:46 2022 reading relations for dependency 1
  207. Wed Feb 9 09:10:46 2022 error: read_cycles can't open dependency file
  208. Wed Feb 9 17:03:55 2022
  209. Wed Feb 9 17:03:55 2022
  210. Wed Feb 9 17:03:55 2022 Msieve v. 1.54 (SVN unknown)
  211. Wed Feb 9 17:03:55 2022 random seeds: 6d70bcd9 a3668fd3
  212. Wed Feb 9 17:03:55 2022 factoring 3177352703538310278287172483808193635873798375874511258732436671612656369491405159648534732973094231012093700450324932279009289812652082663975859535310014415294377332409919 (172 digits)
  213. Wed Feb 9 17:03:56 2022 searching for 15-digit factors
  214. Wed Feb 9 17:03:56 2022 commencing number field sieve (172-digit input)
  215. Wed Feb 9 17:03:56 2022 R0: 645053789743325031032852254296596920561
  216. Wed Feb 9 17:03:56 2022 R1: -1
  217. Wed Feb 9 17:03:56 2022 A0: 1
  218. Wed Feb 9 17:03:56 2022 A1: 1
  219. Wed Feb 9 17:03:56 2022 A2: 1
  220. Wed Feb 9 17:03:56 2022 A3: 1
  221. Wed Feb 9 17:03:56 2022 A4: 1
  222. Wed Feb 9 17:03:56 2022 A5: 1
  223. Wed Feb 9 17:03:56 2022 A6: 1
  224. Wed Feb 9 17:03:56 2022 skew 1.00, size 1.587e-11, alpha 2.428, combined = 8.932e-13 rroots = 0
  225. Wed Feb 9 17:03:56 2022
  226. Wed Feb 9 17:03:56 2022 commencing linear algebra
  227. Wed Feb 9 17:03:56 2022 skipping matrix build
  228. Wed Feb 9 17:03:57 2022 matrix starts at (0, 0)
  229. Wed Feb 9 17:03:57 2022 matrix is 6119274 x 6119451 (2842.4 MB) with weight 807991329 (132.04/col)
  230. Wed Feb 9 17:03:57 2022 sparse part has weight 677799879 (110.76/col)
  231. Wed Feb 9 17:03:57 2022 saving the first 48 matrix rows for later
  232. Wed Feb 9 17:03:57 2022 matrix includes 64 packed rows
  233. Wed Feb 9 17:03:58 2022 matrix is 6119226 x 6119451 (2715.3 MB) with weight 695783913 (113.70/col)
  234. Wed Feb 9 17:03:58 2022 sparse part has weight 650617898 (106.32/col)
  235. Wed Feb 9 17:03:58 2022 using block size 8192 and superblock size 777216 for processor cache size 8096 kB
  236. Wed Feb 9 17:04:14 2022 commencing Lanczos iteration (4 threads)
  237. Wed Feb 9 17:04:14 2022 memory use: 2573.0 MB
  238. Wed Feb 9 17:04:14 2022 restarting at iteration 10544 (dim = 666755)
  239. Wed Feb 9 17:04:23 2022 checkpointing every 510000 dimensions
  240. Wed Feb 9 17:04:25 2022 linear algebra at 10.9%, ETA 10h59m
  241. Thu Feb 10 05:34:10 2022 lanczos halted after 96770 iterations (dim = 6119223)
  242. Thu Feb 10 05:34:15 2022 recovered 39 nontrivial dependencies
  243. Thu Feb 10 05:34:15 2022 BLanczosTime: 45019
  244. Thu Feb 10 05:34:15 2022
  245. Thu Feb 10 05:34:15 2022 commencing square root phase
  246. Thu Feb 10 05:34:15 2022 handling dependencies 1 to 64
  247. Thu Feb 10 05:34:15 2022 reading relations for dependency 1
  248. Thu Feb 10 05:34:16 2022 read 3059269 cycles
  249. Thu Feb 10 05:34:18 2022 cycles contain 9864942 unique relations
  250. Thu Feb 10 05:34:43 2022 read 9864942 relations
  251. Thu Feb 10 05:35:05 2022 multiplying 9864942 relations
  252. Thu Feb 10 05:37:50 2022 multiply complete, coefficients have about 242.44 million bits
  253. Thu Feb 10 05:37:51 2022 initial square root is modulo 501689711
  254. Thu Feb 10 05:41:03 2022 found factor: 52666675798248392048284757314407702418981602057371015070553
  255. Thu Feb 10 05:41:03 2022 reading relations for dependency 2
  256. Thu Feb 10 05:41:04 2022 read 3061333 cycles
  257. Thu Feb 10 05:41:07 2022 cycles contain 9867588 unique relations
  258. Thu Feb 10 05:41:32 2022 read 9867588 relations
  259. Thu Feb 10 05:41:53 2022 multiplying 9867588 relations
  260. Thu Feb 10 05:44:39 2022 multiply complete, coefficients have about 242.51 million bits
  261. Thu Feb 10 05:44:40 2022 initial square root is modulo 504709903
  262. Thu Feb 10 05:47:53 2022 sqrtTime: 818
  263. Thu Feb 10 05:47:53 2022 p53 factor: 44668808221461805092702003194686931406506966253214717
  264. Thu Feb 10 05:47:53 2022 p59 factor: 52666675798248392048284757314407702418981602057371015070553
  265. Thu Feb 10 05:47:53 2022 p61 factor: 1350595049535562366671697946246330167776338313170549527368419
  266. Thu Feb 10 05:47:53 2022 elapsed time 12:43:58
  267.  
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