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4p3_1257L

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Dec 9th, 2019
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  1. Tue Dec 3 19:57:21 2019
  2. Tue Dec 3 19:57:21 2019
  3. Tue Dec 3 19:57:21 2019 Msieve v. 1.54 (SVN 1025)
  4. Tue Dec 3 19:57:21 2019 random seeds: b4b04b16 66114420
  5. Tue Dec 3 19:57:21 2019 factoring 4643766137695807481353644550711292514272996374929575086717749666022544978211339747276678411240619274940990751904948745551338919782119952922305037035429877709028233545299633499061382228963370207302244200102099483623918884949658539683047159185836401 (247 digits)
  6. Tue Dec 3 19:57:23 2019 searching for 15-digit factors
  7. Tue Dec 3 19:57:23 2019 commencing number field sieve (247-digit input)
  8. Tue Dec 3 19:57:23 2019 R0: -1393796574908163946345982392040522594123776
  9. Tue Dec 3 19:57:23 2019 R1: 2503155504993241601315571986085849
  10. Tue Dec 3 19:57:23 2019 A0: 4
  11. Tue Dec 3 19:57:23 2019 A1: 0
  12. Tue Dec 3 19:57:23 2019 A2: 0
  13. Tue Dec 3 19:57:23 2019 A3: -6
  14. Tue Dec 3 19:57:23 2019 A4: 0
  15. Tue Dec 3 19:57:23 2019 A5: 0
  16. Tue Dec 3 19:57:23 2019 A6: 3
  17. Tue Dec 3 19:57:23 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0
  18. Tue Dec 3 19:57:23 2019
  19. Tue Dec 3 19:57:23 2019 commencing relation filtering
  20. Tue Dec 3 19:57:23 2019 setting target matrix density to 120.0
  21. Tue Dec 3 19:57:23 2019 estimated available RAM is 15984.7 MB
  22. Tue Dec 3 19:57:23 2019 commencing duplicate removal, pass 1
  23. Tue Dec 3 20:21:50 2019 error -15 reading relation 170488745
  24. Tue Dec 3 20:25:09 2019 error -1 reading relation 192895048
  25. Tue Dec 3 20:25:10 2019 skipped 125 relations with b > 2^32
  26. Tue Dec 3 20:25:10 2019 skipped 6 relations with composite factors
  27. Tue Dec 3 20:25:10 2019 found 8305041 hash collisions in 193035365 relations
  28. Tue Dec 3 20:25:21 2019 commencing duplicate removal, pass 2
  29. Tue Dec 3 20:27:09 2019 found 143729 duplicates and 192891636 unique relations
  30. Tue Dec 3 20:27:09 2019 memory use: 522.4 MB
  31. Tue Dec 3 20:27:09 2019 reading ideals above 134021120
  32. Tue Dec 3 20:27:09 2019 commencing singleton removal, initial pass
  33. Tue Dec 3 20:46:59 2019 memory use: 5512.0 MB
  34. Tue Dec 3 20:46:59 2019 reading all ideals from disk
  35. Tue Dec 3 20:47:06 2019 memory use: 3719.9 MB
  36. Tue Dec 3 20:47:19 2019 commencing in-memory singleton removal
  37. Tue Dec 3 20:47:30 2019 begin with 192891636 relations and 164770548 unique ideals
  38. Tue Dec 3 20:49:43 2019 reduce to 127269496 relations and 92662384 ideals in 14 passes
  39. Tue Dec 3 20:49:43 2019 max relations containing the same ideal: 39
  40. Tue Dec 3 20:49:54 2019 reading ideals above 720000
  41. Tue Dec 3 20:49:54 2019 commencing singleton removal, initial pass
  42. Tue Dec 3 21:07:32 2019 memory use: 3012.0 MB
  43. Tue Dec 3 21:07:32 2019 reading all ideals from disk
  44. Tue Dec 3 21:07:42 2019 memory use: 5077.2 MB
  45. Tue Dec 3 21:08:02 2019 keeping 107202385 ideals with weight <= 200, target excess is 645331
  46. Tue Dec 3 21:08:18 2019 commencing in-memory singleton removal
  47. Tue Dec 3 21:08:30 2019 begin with 127269505 relations and 107202385 unique ideals
  48. Tue Dec 3 21:09:40 2019 reduce to 127269378 relations and 107202257 ideals in 5 passes
  49. Tue Dec 3 21:09:40 2019 max relations containing the same ideal: 200
  50. Tue Dec 3 21:10:49 2019 removing 11481119 relations and 9481119 ideals in 2000000 cliques
  51. Tue Dec 3 21:10:53 2019 commencing in-memory singleton removal
  52. Tue Dec 3 21:11:07 2019 begin with 115788259 relations and 107202257 unique ideals
  53. Tue Dec 3 21:12:54 2019 reduce to 114929878 relations and 96845018 ideals in 8 passes
  54. Tue Dec 3 21:12:54 2019 max relations containing the same ideal: 196
  55. Tue Dec 3 21:13:58 2019 removing 8789790 relations and 6789790 ideals in 2000000 cliques
  56. Tue Dec 3 21:14:01 2019 commencing in-memory singleton removal
  57. Tue Dec 3 21:14:13 2019 begin with 106140088 relations and 96845018 unique ideals
  58. Tue Dec 3 21:16:06 2019 reduce to 105573973 relations and 89478753 ideals in 10 passes
  59. Tue Dec 3 21:16:06 2019 max relations containing the same ideal: 189
  60. Tue Dec 3 21:17:02 2019 removing 7984062 relations and 5984062 ideals in 2000000 cliques
  61. Tue Dec 3 21:17:05 2019 commencing in-memory singleton removal
  62. Tue Dec 3 21:17:15 2019 begin with 97589911 relations and 89478753 unique ideals
  63. Tue Dec 3 21:18:26 2019 reduce to 97088907 relations and 82984371 ideals in 7 passes
  64. Tue Dec 3 21:18:26 2019 max relations containing the same ideal: 180
  65. Tue Dec 3 21:19:16 2019 removing 7574142 relations and 5574142 ideals in 2000000 cliques
  66. Tue Dec 3 21:19:19 2019 commencing in-memory singleton removal
  67. Tue Dec 3 21:19:28 2019 begin with 89514765 relations and 82984371 unique ideals
  68. Tue Dec 3 21:20:46 2019 reduce to 89038329 relations and 76924599 ideals in 9 passes
  69. Tue Dec 3 21:20:46 2019 max relations containing the same ideal: 174
  70. Tue Dec 3 21:21:34 2019 removing 7328726 relations and 5328726 ideals in 2000000 cliques
  71. Tue Dec 3 21:21:37 2019 commencing in-memory singleton removal
  72. Tue Dec 3 21:21:45 2019 begin with 81709603 relations and 76924599 unique ideals
  73. Tue Dec 3 21:22:42 2019 reduce to 81238757 relations and 71115401 ideals in 7 passes
  74. Tue Dec 3 21:22:42 2019 max relations containing the same ideal: 164
  75. Tue Dec 3 21:23:26 2019 removing 7170855 relations and 5170855 ideals in 2000000 cliques
  76. Tue Dec 3 21:23:29 2019 commencing in-memory singleton removal
  77. Tue Dec 3 21:23:36 2019 begin with 74067902 relations and 71115401 unique ideals
  78. Tue Dec 3 21:24:31 2019 reduce to 73584615 relations and 65450864 ideals in 8 passes
  79. Tue Dec 3 21:24:31 2019 max relations containing the same ideal: 150
  80. Tue Dec 3 21:25:09 2019 removing 7059492 relations and 5059492 ideals in 2000000 cliques
  81. Tue Dec 3 21:25:12 2019 commencing in-memory singleton removal
  82. Tue Dec 3 21:25:18 2019 begin with 66525123 relations and 65450864 unique ideals
  83. Tue Dec 3 21:26:10 2019 reduce to 66020569 relations and 59874775 ideals in 8 passes
  84. Tue Dec 3 21:26:10 2019 max relations containing the same ideal: 140
  85. Tue Dec 3 21:26:45 2019 removing 6991376 relations and 4991376 ideals in 2000000 cliques
  86. Tue Dec 3 21:26:48 2019 commencing in-memory singleton removal
  87. Tue Dec 3 21:26:53 2019 begin with 59029193 relations and 59874775 unique ideals
  88. Tue Dec 3 21:27:37 2019 reduce to 58485555 relations and 54325527 ideals in 8 passes
  89. Tue Dec 3 21:27:37 2019 max relations containing the same ideal: 128
  90. Tue Dec 3 21:28:07 2019 removing 6957219 relations and 4957219 ideals in 2000000 cliques
  91. Tue Dec 3 21:28:09 2019 commencing in-memory singleton removal
  92. Tue Dec 3 21:28:14 2019 begin with 51528336 relations and 54325527 unique ideals
  93. Tue Dec 3 21:28:53 2019 reduce to 50921998 relations and 48744211 ideals in 8 passes
  94. Tue Dec 3 21:28:53 2019 max relations containing the same ideal: 118
  95. Tue Dec 3 21:29:19 2019 removing 5313229 relations and 3884026 ideals in 1429203 cliques
  96. Tue Dec 3 21:29:21 2019 commencing in-memory singleton removal
  97. Tue Dec 3 21:29:25 2019 begin with 45608769 relations and 48744211 unique ideals
  98. Tue Dec 3 21:29:52 2019 reduce to 45204735 relations and 44446308 ideals in 7 passes
  99. Tue Dec 3 21:29:52 2019 max relations containing the same ideal: 111
  100. Tue Dec 3 21:30:15 2019 removing 76764 relations and 66921 ideals in 9843 cliques
  101. Tue Dec 3 21:30:16 2019 commencing in-memory singleton removal
  102. Tue Dec 3 21:30:20 2019 begin with 45127971 relations and 44446308 unique ideals
  103. Tue Dec 3 21:30:30 2019 reduce to 45127902 relations and 44379318 ideals in 3 passes
  104. Tue Dec 3 21:30:30 2019 max relations containing the same ideal: 111
  105. Tue Dec 3 21:30:41 2019 relations with 0 large ideals: 16428
  106. Tue Dec 3 21:30:41 2019 relations with 1 large ideals: 6927
  107. Tue Dec 3 21:30:41 2019 relations with 2 large ideals: 102944
  108. Tue Dec 3 21:30:41 2019 relations with 3 large ideals: 762706
  109. Tue Dec 3 21:30:41 2019 relations with 4 large ideals: 3086632
  110. Tue Dec 3 21:30:41 2019 relations with 5 large ideals: 7525657
  111. Tue Dec 3 21:30:41 2019 relations with 6 large ideals: 11552068
  112. Tue Dec 3 21:30:41 2019 relations with 7+ large ideals: 22074540
  113. Tue Dec 3 21:30:41 2019 commencing 2-way merge
  114. Tue Dec 3 21:31:09 2019 reduce to 29992034 relation sets and 29243450 unique ideals
  115. Tue Dec 3 21:31:09 2019 commencing full merge
  116. Tue Dec 3 21:42:56 2019 memory use: 3736.1 MB
  117. Tue Dec 3 21:43:00 2019 found 13379445 cycles, need 13371650
  118. Tue Dec 3 21:43:05 2019 weight of 13371650 cycles is about 1605278513 (120.05/cycle)
  119. Tue Dec 3 21:43:05 2019 distribution of cycle lengths:
  120. Tue Dec 3 21:43:05 2019 1 relations: 567244
  121. Tue Dec 3 21:43:05 2019 2 relations: 829677
  122. Tue Dec 3 21:43:05 2019 3 relations: 975100
  123. Tue Dec 3 21:43:05 2019 4 relations: 1001074
  124. Tue Dec 3 21:43:05 2019 5 relations: 1018804
  125. Tue Dec 3 21:43:05 2019 6 relations: 993543
  126. Tue Dec 3 21:43:05 2019 7 relations: 966213
  127. Tue Dec 3 21:43:05 2019 8 relations: 913365
  128. Tue Dec 3 21:43:05 2019 9 relations: 855752
  129. Tue Dec 3 21:43:05 2019 10+ relations: 5250878
  130. Tue Dec 3 21:43:05 2019 heaviest cycle: 28 relations
  131. Tue Dec 3 21:43:08 2019 commencing cycle optimization
  132. Tue Dec 3 21:43:38 2019 start with 117990868 relations
  133. Tue Dec 3 21:48:18 2019 pruned 5450555 relations
  134. Tue Dec 3 21:48:18 2019 memory use: 3093.0 MB
  135. Tue Dec 3 21:48:18 2019 distribution of cycle lengths:
  136. Tue Dec 3 21:48:18 2019 1 relations: 567244
  137. Tue Dec 3 21:48:18 2019 2 relations: 852303
  138. Tue Dec 3 21:48:18 2019 3 relations: 1018759
  139. Tue Dec 3 21:48:18 2019 4 relations: 1044850
  140. Tue Dec 3 21:48:18 2019 5 relations: 1070364
  141. Tue Dec 3 21:48:18 2019 6 relations: 1041214
  142. Tue Dec 3 21:48:18 2019 7 relations: 1014007
  143. Tue Dec 3 21:48:18 2019 8 relations: 953357
  144. Tue Dec 3 21:48:18 2019 9 relations: 892656
  145. Tue Dec 3 21:48:18 2019 10+ relations: 4916896
  146. Tue Dec 3 21:48:18 2019 heaviest cycle: 28 relations
  147. Tue Dec 3 21:48:54 2019 RelProcTime: 6691
  148. Tue Dec 3 21:48:54 2019 elapsed time 01:51:33
  149. Tue Dec 3 23:18:53 2019
  150. Tue Dec 3 23:18:53 2019
  151. Tue Dec 3 23:18:53 2019 Msieve v. 1.54 (SVN 1025)
  152. Tue Dec 3 23:18:53 2019 random seeds: 7c6815e6 2730e0c2
  153. Tue Dec 3 23:18:53 2019 factoring 4643766137695807481353644550711292514272996374929575086717749666022544978211339747276678411240619274940990751904948745551338919782119952922305037035429877709028233545299633499061382228963370207302244200102099483623918884949658539683047159185836401 (247 digits)
  154. Tue Dec 3 23:18:54 2019 searching for 15-digit factors
  155. Tue Dec 3 23:18:55 2019 commencing number field sieve (247-digit input)
  156. Tue Dec 3 23:18:55 2019 R0: -1393796574908163946345982392040522594123776
  157. Tue Dec 3 23:18:55 2019 R1: 2503155504993241601315571986085849
  158. Tue Dec 3 23:18:55 2019 A0: 4
  159. Tue Dec 3 23:18:55 2019 A1: 0
  160. Tue Dec 3 23:18:55 2019 A2: 0
  161. Tue Dec 3 23:18:55 2019 A3: -6
  162. Tue Dec 3 23:18:55 2019 A4: 0
  163. Tue Dec 3 23:18:55 2019 A5: 0
  164. Tue Dec 3 23:18:55 2019 A6: 3
  165. Tue Dec 3 23:18:55 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0
  166. Tue Dec 3 23:18:55 2019
  167. Tue Dec 3 23:18:55 2019 commencing linear algebra
  168. Tue Dec 3 23:18:56 2019 read 13371650 cycles
  169. Tue Dec 3 23:19:17 2019 cycles contain 44704769 unique relations
  170. Tue Dec 3 23:22:35 2019 read 44704769 relations
  171. Tue Dec 3 23:23:46 2019 using 20 quadratic characters above 4294917295
  172. Tue Dec 3 23:26:19 2019 building initial matrix
  173. Tue Dec 3 23:33:50 2019 memory use: 5839.4 MB
  174. Tue Dec 3 23:33:56 2019 read 13371650 cycles
  175. Tue Dec 3 23:33:58 2019 matrix is 13371473 x 13371650 (6282.2 MB) with weight 1810866588 (135.43/col)
  176. Tue Dec 3 23:33:58 2019 sparse part has weight 1499747763 (112.16/col)
  177. Tue Dec 3 23:36:22 2019 filtering completed in 2 passes
  178. Tue Dec 3 23:36:25 2019 matrix is 13371399 x 13371569 (6282.2 MB) with weight 1810864206 (135.43/col)
  179. Tue Dec 3 23:36:25 2019 sparse part has weight 1499747085 (112.16/col)
  180. Tue Dec 3 23:37:12 2019 matrix starts at (0, 0)
  181. Tue Dec 3 23:37:13 2019 matrix is 13371399 x 13371569 (6282.2 MB) with weight 1810864206 (135.43/col)
  182. Tue Dec 3 23:37:13 2019 sparse part has weight 1499747085 (112.16/col)
  183. Tue Dec 3 23:37:13 2019 saving the first 48 matrix rows for later
  184. Tue Dec 3 23:37:15 2019 matrix includes 64 packed rows
  185. Tue Dec 3 23:37:17 2019 matrix is 13371351 x 13371569 (6035.2 MB) with weight 1559123662 (116.60/col)
  186. Tue Dec 3 23:37:17 2019 sparse part has weight 1448383032 (108.32/col)
  187. Tue Dec 3 23:37:17 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  188. Tue Dec 3 23:38:05 2019 commencing Lanczos iteration (4 threads)
  189. Tue Dec 3 23:38:05 2019 memory use: 5773.3 MB
  190. Tue Dec 3 23:39:06 2019 linear algebra at 0.0%, ETA 142h 5m
  191. Tue Dec 3 23:39:25 2019 checkpointing every 100000 dimensions
  192. Thu Dec 5 10:35:01 2019 lanczos halted after 59441 iterations (dim = 3759125)
  193. Thu Dec 5 10:35:01 2019 BLanczosTime: 126966
  194. Thu Dec 5 10:35:01 2019
  195. Thu Dec 5 10:35:01 2019 commencing square root phase
  196. Thu Dec 5 10:35:01 2019 reading relations for dependency 1
  197. Thu Dec 5 10:35:01 2019 error: read_cycles can't open dependency file
  198. Thu Dec 5 13:53:18 2019
  199. Thu Dec 5 13:53:18 2019
  200. Thu Dec 5 13:53:18 2019 Msieve v. 1.54 (SVN 1025)
  201. Thu Dec 5 13:53:18 2019 random seeds: fcbc4d32 6a97071d
  202. Thu Dec 5 13:53:18 2019 factoring 4643766137695807481353644550711292514272996374929575086717749666022544978211339747276678411240619274940990751904948745551338919782119952922305037035429877709028233545299633499061382228963370207302244200102099483623918884949658539683047159185836401 (247 digits)
  203. Thu Dec 5 13:53:19 2019 searching for 15-digit factors
  204. Thu Dec 5 13:53:19 2019 commencing number field sieve (247-digit input)
  205. Thu Dec 5 13:53:19 2019 R0: -1393796574908163946345982392040522594123776
  206. Thu Dec 5 13:53:19 2019 R1: 2503155504993241601315571986085849
  207. Thu Dec 5 13:53:19 2019 A0: 4
  208. Thu Dec 5 13:53:19 2019 A1: 0
  209. Thu Dec 5 13:53:19 2019 A2: 0
  210. Thu Dec 5 13:53:19 2019 A3: -6
  211. Thu Dec 5 13:53:19 2019 A4: 0
  212. Thu Dec 5 13:53:19 2019 A5: 0
  213. Thu Dec 5 13:53:19 2019 A6: 3
  214. Thu Dec 5 13:53:19 2019 skew 1.05, size 1.984e-12, alpha 1.048, combined = 1.918e-13 rroots = 0
  215. Thu Dec 5 13:53:19 2019
  216. Thu Dec 5 13:53:19 2019 commencing linear algebra
  217. Thu Dec 5 13:53:19 2019 skipping matrix build
  218. Thu Dec 5 13:53:34 2019 matrix starts at (0, 0)
  219. Thu Dec 5 13:53:35 2019 matrix is 13371399 x 13371569 (6282.2 MB) with weight 1810864206 (135.43/col)
  220. Thu Dec 5 13:53:35 2019 sparse part has weight 1499747085 (112.16/col)
  221. Thu Dec 5 13:53:35 2019 saving the first 48 matrix rows for later
  222. Thu Dec 5 13:53:37 2019 matrix includes 64 packed rows
  223. Thu Dec 5 13:53:39 2019 matrix is 13371351 x 13371569 (6035.2 MB) with weight 1559123662 (116.60/col)
  224. Thu Dec 5 13:53:39 2019 sparse part has weight 1448383032 (108.32/col)
  225. Thu Dec 5 13:53:39 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  226. Thu Dec 5 13:54:19 2019 commencing Lanczos iteration (4 threads)
  227. Thu Dec 5 13:54:19 2019 memory use: 5773.3 MB
  228. Thu Dec 5 13:54:20 2019 restarting at iteration 59441 (dim = 3759125)
  229. Thu Dec 5 13:54:50 2019 checkpointing every 110000 dimensions
  230. Thu Dec 5 13:55:11 2019 linear algebra at 28.1%, ETA 89h34m
  231. Mon Dec 9 05:46:18 2019 lanczos halted after 211445 iterations (dim = 13371348)
  232. Mon Dec 9 05:46:38 2019 recovered 36 nontrivial dependencies
  233. Mon Dec 9 05:46:38 2019 BLanczosTime: 316399
  234. Mon Dec 9 05:46:38 2019
  235. Mon Dec 9 05:46:38 2019 commencing square root phase
  236. Mon Dec 9 05:46:38 2019 handling dependencies 1 to 64
  237. Mon Dec 9 05:46:38 2019 reading relations for dependency 1
  238. Mon Dec 9 05:46:39 2019 read 6684478 cycles
  239. Mon Dec 9 05:46:49 2019 cycles contain 22350880 unique relations
  240. Mon Dec 9 05:48:36 2019 read 22350880 relations
  241. Mon Dec 9 05:49:51 2019 multiplying 22350880 relations
  242. Mon Dec 9 06:04:00 2019 multiply complete, coefficients have about 598.97 million bits
  243. Mon Dec 9 06:04:03 2019 initial square root is modulo 236471
  244. Mon Dec 9 06:18:51 2019 sqrtTime: 1933
  245. Mon Dec 9 06:18:51 2019 p113 factor: 20349562893178951342589339421501827590062915712818609543292307411115839368795442346062508288751855707792917049937
  246. Mon Dec 9 06:18:51 2019 p135 factor: 228199797807567129896944102298777588250820615016092517292116676930394132196700342703601921054380203684350624378048509690684774474743073
  247. Mon Dec 9 06:18:51 2019 elapsed time 88:25:33
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