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Feb 4th, 2019
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  1. Sat Feb 2 13:40:46 2019
  2. Sat Feb 2 13:40:46 2019
  3. Sat Feb 2 13:40:46 2019 Msieve v. 1.54 (SVN 1028)
  4. Sat Feb 2 13:40:46 2019 random seeds: 9a0b3480 33f0ef3c
  5. Sat Feb 2 13:40:46 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits)
  6. Sat Feb 2 13:40:47 2019 no P-1/P+1/ECM available, skipping
  7. Sat Feb 2 13:40:47 2019 commencing number field sieve (194-digit input)
  8. Sat Feb 2 13:40:47 2019 R0: 170141183460469231731687303715884105728
  9. Sat Feb 2 13:40:47 2019 R1: -1
  10. Sat Feb 2 13:40:47 2019 A0: -1
  11. Sat Feb 2 13:40:47 2019 A1: 0
  12. Sat Feb 2 13:40:47 2019 A2: 0
  13. Sat Feb 2 13:40:47 2019 A3: 0
  14. Sat Feb 2 13:40:47 2019 A4: 0
  15. Sat Feb 2 13:40:47 2019 A5: 0
  16. Sat Feb 2 13:40:47 2019 A6: 10
  17. Sat Feb 2 13:40:47 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2
  18. Sat Feb 2 13:40:47 2019
  19. Sat Feb 2 13:40:47 2019 commencing relation filtering
  20. Sat Feb 2 13:40:47 2019 setting target matrix density to 116.0
  21. Sat Feb 2 13:40:47 2019 estimated available RAM is 15888.0 MB
  22. Sat Feb 2 13:40:47 2019 commencing duplicate removal, pass 1
  23. Sat Feb 2 14:07:09 2019 skipped 22 relations with b > 2^32
  24. Sat Feb 2 14:07:09 2019 found 7577304 hash collisions in 185459509 relations
  25. Sat Feb 2 14:07:33 2019 added 1218323 free relations
  26. Sat Feb 2 14:07:33 2019 commencing duplicate removal, pass 2
  27. Sat Feb 2 14:08:42 2019 found 0 duplicates and 186677832 unique relations
  28. Sat Feb 2 14:08:42 2019 memory use: 522.4 MB
  29. Sat Feb 2 14:08:42 2019 reading ideals above 68222976
  30. Sat Feb 2 14:08:42 2019 commencing singleton removal, initial pass
  31. Sat Feb 2 14:26:38 2019 memory use: 5512.0 MB
  32. Sat Feb 2 14:26:38 2019 reading all ideals from disk
  33. Sat Feb 2 14:26:50 2019 memory use: 3295.0 MB
  34. Sat Feb 2 14:26:58 2019 commencing in-memory singleton removal
  35. Sat Feb 2 14:27:02 2019 begin with 186677832 relations and 183574298 unique ideals
  36. Sat Feb 2 14:27:41 2019 reduce to 74652551 relations and 53818719 ideals in 15 passes
  37. Sat Feb 2 14:27:41 2019 max relations containing the same ideal: 28
  38. Sat Feb 2 14:27:44 2019 reading ideals above 720000
  39. Sat Feb 2 14:27:44 2019 commencing singleton removal, initial pass
  40. Sat Feb 2 14:36:51 2019 memory use: 1506.0 MB
  41. Sat Feb 2 14:36:51 2019 reading all ideals from disk
  42. Sat Feb 2 14:36:58 2019 memory use: 2782.9 MB
  43. Sat Feb 2 14:37:07 2019 keeping 61469721 ideals with weight <= 200, target excess is 386670
  44. Sat Feb 2 14:37:18 2019 commencing in-memory singleton removal
  45. Sat Feb 2 14:37:24 2019 begin with 74652554 relations and 61469721 unique ideals
  46. Sat Feb 2 14:38:21 2019 reduce to 74650790 relations and 61467955 ideals in 7 passes
  47. Sat Feb 2 14:38:21 2019 max relations containing the same ideal: 200
  48. Sat Feb 2 14:38:56 2019 removing 9959630 relations and 7959630 ideals in 2000000 cliques
  49. Sat Feb 2 14:38:59 2019 commencing in-memory singleton removal
  50. Sat Feb 2 14:39:04 2019 begin with 64691160 relations and 61467955 unique ideals
  51. Sat Feb 2 14:39:51 2019 reduce to 63704113 relations and 52488917 ideals in 8 passes
  52. Sat Feb 2 14:39:51 2019 max relations containing the same ideal: 188
  53. Sat Feb 2 14:40:16 2019 removing 7902573 relations and 5902573 ideals in 2000000 cliques
  54. Sat Feb 2 14:40:18 2019 commencing in-memory singleton removal
  55. Sat Feb 2 14:40:20 2019 begin with 55801540 relations and 52488917 unique ideals
  56. Sat Feb 2 14:40:44 2019 reduce to 55078792 relations and 45841092 ideals in 8 passes
  57. Sat Feb 2 14:40:44 2019 max relations containing the same ideal: 175
  58. Sat Feb 2 14:41:02 2019 removing 7291273 relations and 5291273 ideals in 2000000 cliques
  59. Sat Feb 2 14:41:04 2019 commencing in-memory singleton removal
  60. Sat Feb 2 14:41:07 2019 begin with 47787519 relations and 45841092 unique ideals
  61. Sat Feb 2 14:41:30 2019 reduce to 47093692 relations and 39832940 ideals in 8 passes
  62. Sat Feb 2 14:41:30 2019 max relations containing the same ideal: 155
  63. Sat Feb 2 14:41:51 2019 removing 7002952 relations and 5002952 ideals in 2000000 cliques
  64. Sat Feb 2 14:41:53 2019 commencing in-memory singleton removal
  65. Sat Feb 2 14:41:56 2019 begin with 40090740 relations and 39832940 unique ideals
  66. Sat Feb 2 14:42:16 2019 reduce to 39365011 relations and 34076513 ideals in 7 passes
  67. Sat Feb 2 14:42:16 2019 max relations containing the same ideal: 141
  68. Sat Feb 2 14:42:29 2019 removing 6841159 relations and 4841159 ideals in 2000000 cliques
  69. Sat Feb 2 14:42:31 2019 commencing in-memory singleton removal
  70. Sat Feb 2 14:42:33 2019 begin with 32523852 relations and 34076513 unique ideals
  71. Sat Feb 2 14:42:48 2019 reduce to 31714638 relations and 28389549 ideals in 9 passes
  72. Sat Feb 2 14:42:48 2019 max relations containing the same ideal: 121
  73. Sat Feb 2 14:43:00 2019 removing 6749343 relations and 4749343 ideals in 2000000 cliques
  74. Sat Feb 2 14:43:01 2019 commencing in-memory singleton removal
  75. Sat Feb 2 14:43:02 2019 begin with 24965295 relations and 28389549 unique ideals
  76. Sat Feb 2 14:43:15 2019 reduce to 23998597 relations and 22619240 ideals in 10 passes
  77. Sat Feb 2 14:43:15 2019 max relations containing the same ideal: 99
  78. Sat Feb 2 14:43:23 2019 removing 3699900 relations and 2769081 ideals in 930819 cliques
  79. Sat Feb 2 14:43:25 2019 commencing in-memory singleton removal
  80. Sat Feb 2 14:43:26 2019 begin with 20298697 relations and 22619240 unique ideals
  81. Sat Feb 2 14:43:35 2019 reduce to 19913235 relations and 19451334 ideals in 9 passes
  82. Sat Feb 2 14:43:35 2019 max relations containing the same ideal: 88
  83. Sat Feb 2 14:43:44 2019 removing 104337 relations and 90974 ideals in 13363 cliques
  84. Sat Feb 2 14:43:44 2019 commencing in-memory singleton removal
  85. Sat Feb 2 14:43:46 2019 begin with 19808898 relations and 19451334 unique ideals
  86. Sat Feb 2 14:43:52 2019 reduce to 19808602 relations and 19360064 ideals in 4 passes
  87. Sat Feb 2 14:43:52 2019 max relations containing the same ideal: 88
  88. Sat Feb 2 14:43:57 2019 relations with 0 large ideals: 14703
  89. Sat Feb 2 14:43:57 2019 relations with 1 large ideals: 4678
  90. Sat Feb 2 14:43:57 2019 relations with 2 large ideals: 64118
  91. Sat Feb 2 14:43:57 2019 relations with 3 large ideals: 460036
  92. Sat Feb 2 14:43:57 2019 relations with 4 large ideals: 1755193
  93. Sat Feb 2 14:43:57 2019 relations with 5 large ideals: 3916094
  94. Sat Feb 2 14:43:57 2019 relations with 6 large ideals: 5359588
  95. Sat Feb 2 14:43:57 2019 relations with 7+ large ideals: 8234192
  96. Sat Feb 2 14:43:57 2019 commencing 2-way merge
  97. Sat Feb 2 14:44:08 2019 reduce to 12071306 relation sets and 11622768 unique ideals
  98. Sat Feb 2 14:44:08 2019 commencing full merge
  99. Sat Feb 2 14:48:15 2019 memory use: 1634.5 MB
  100. Sat Feb 2 14:48:16 2019 found 5522518 cycles, need 5512968
  101. Sat Feb 2 14:48:18 2019 weight of 5512968 cycles is about 640028683 (116.10/cycle)
  102. Sat Feb 2 14:48:18 2019 distribution of cycle lengths:
  103. Sat Feb 2 14:48:18 2019 1 relations: 265024
  104. Sat Feb 2 14:48:18 2019 2 relations: 334527
  105. Sat Feb 2 14:48:18 2019 3 relations: 377209
  106. Sat Feb 2 14:48:18 2019 4 relations: 385691
  107. Sat Feb 2 14:48:18 2019 5 relations: 393944
  108. Sat Feb 2 14:48:18 2019 6 relations: 393954
  109. Sat Feb 2 14:48:18 2019 7 relations: 386851
  110. Sat Feb 2 14:48:18 2019 8 relations: 370480
  111. Sat Feb 2 14:48:18 2019 9 relations: 349897
  112. Sat Feb 2 14:48:18 2019 10+ relations: 2255391
  113. Sat Feb 2 14:48:18 2019 heaviest cycle: 28 relations
  114. Sat Feb 2 14:48:18 2019 commencing cycle optimization
  115. Sat Feb 2 14:48:27 2019 start with 49703971 relations
  116. Sat Feb 2 14:49:55 2019 pruned 2125769 relations
  117. Sat Feb 2 14:49:55 2019 memory use: 1329.5 MB
  118. Sat Feb 2 14:49:55 2019 distribution of cycle lengths:
  119. Sat Feb 2 14:49:55 2019 1 relations: 265024
  120. Sat Feb 2 14:49:55 2019 2 relations: 341687
  121. Sat Feb 2 14:49:55 2019 3 relations: 390627
  122. Sat Feb 2 14:49:55 2019 4 relations: 399692
  123. Sat Feb 2 14:49:55 2019 5 relations: 411510
  124. Sat Feb 2 14:49:55 2019 6 relations: 411375
  125. Sat Feb 2 14:49:55 2019 7 relations: 405593
  126. Sat Feb 2 14:49:55 2019 8 relations: 387682
  127. Sat Feb 2 14:49:55 2019 9 relations: 365947
  128. Sat Feb 2 14:49:55 2019 10+ relations: 2133831
  129. Sat Feb 2 14:49:55 2019 heaviest cycle: 28 relations
  130. Sat Feb 2 14:50:04 2019 RelProcTime: 4157
  131. Sat Feb 2 14:50:04 2019 elapsed time 01:09:18
  132. Sat Feb 2 22:17:48 2019
  133. Sat Feb 2 22:17:48 2019
  134. Sat Feb 2 22:17:48 2019 Msieve v. 1.54 (SVN 1028)
  135. Sat Feb 2 22:17:48 2019 random seeds: 5bca4f36 b831895c
  136. Sat Feb 2 22:17:48 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits)
  137. Sat Feb 2 22:17:50 2019 no P-1/P+1/ECM available, skipping
  138. Sat Feb 2 22:17:50 2019 commencing number field sieve (194-digit input)
  139. Sat Feb 2 22:17:50 2019 R0: 170141183460469231731687303715884105728
  140. Sat Feb 2 22:17:50 2019 R1: -1
  141. Sat Feb 2 22:17:50 2019 A0: -1
  142. Sat Feb 2 22:17:50 2019 A1: 0
  143. Sat Feb 2 22:17:50 2019 A2: 0
  144. Sat Feb 2 22:17:50 2019 A3: 0
  145. Sat Feb 2 22:17:50 2019 A4: 0
  146. Sat Feb 2 22:17:50 2019 A5: 0
  147. Sat Feb 2 22:17:50 2019 A6: 10
  148. Sat Feb 2 22:17:50 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2
  149. Sat Feb 2 22:17:50 2019
  150. Sat Feb 2 22:17:50 2019 commencing linear algebra
  151. Sat Feb 2 22:17:50 2019 read 5512968 cycles
  152. Sat Feb 2 22:18:02 2019 cycles contain 19535346 unique relations
  153. Sat Feb 2 22:20:09 2019 read 19535346 relations
  154. Sat Feb 2 22:20:34 2019 using 20 quadratic characters above 4294917295
  155. Sat Feb 2 22:21:53 2019 building initial matrix
  156. Sat Feb 2 22:24:57 2019 memory use: 2436.9 MB
  157. Sat Feb 2 22:24:59 2019 read 5512968 cycles
  158. Sat Feb 2 22:25:00 2019 matrix is 5512791 x 5512968 (2516.5 MB) with weight 724819134 (131.48/col)
  159. Sat Feb 2 22:25:00 2019 sparse part has weight 599050358 (108.66/col)
  160. Sat Feb 2 22:25:51 2019 filtering completed in 2 passes
  161. Sat Feb 2 22:25:52 2019 matrix is 5512723 x 5512900 (2516.5 MB) with weight 724817004 (131.48/col)
  162. Sat Feb 2 22:25:52 2019 sparse part has weight 599049836 (108.66/col)
  163. Sat Feb 2 22:26:09 2019 matrix starts at (0, 0)
  164. Sat Feb 2 22:26:10 2019 matrix is 5512723 x 5512900 (2516.5 MB) with weight 724817004 (131.48/col)
  165. Sat Feb 2 22:26:10 2019 sparse part has weight 599049836 (108.66/col)
  166. Sat Feb 2 22:26:10 2019 saving the first 112 matrix rows for later
  167. Sat Feb 2 22:26:11 2019 matrix includes 128 packed rows
  168. Sat Feb 2 22:26:12 2019 matrix is 5512611 x 5512900 (2347.7 MB) with weight 579620954 (105.14/col)
  169. Sat Feb 2 22:26:12 2019 sparse part has weight 549278129 (99.64/col)
  170. Sat Feb 2 22:26:12 2019 using block size 8192 and superblock size 737280 for processor cache size 15360 kB
  171. Sat Feb 2 22:26:25 2019 commencing Lanczos iteration (6 threads)
  172. Sat Feb 2 22:26:25 2019 memory use: 2580.3 MB
  173. Sat Feb 2 22:26:55 2019 linear algebra at 0.0%, ETA 27h 3m
  174. Sat Feb 2 22:27:02 2019 checkpointing every 220000 dimensions
  175. Sun Feb 3 14:35:51 2019 lanczos halted after 43327 iterations (dim = 5512607)
  176. Sun Feb 3 14:35:58 2019 recovered 34 nontrivial dependencies
  177. Sun Feb 3 14:35:58 2019 BLanczosTime: 58688
  178. Sun Feb 3 14:35:58 2019 elapsed time 16:18:10
  179. Mon Feb 4 09:34:52 2019
  180. Mon Feb 4 09:34:52 2019
  181. Mon Feb 4 09:34:52 2019 Msieve v. 1.54 (SVN 1028)
  182. Mon Feb 4 09:34:52 2019 random seeds: e90421da 47c8136d
  183. Mon Feb 4 09:34:52 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits)
  184. Mon Feb 4 09:34:53 2019 no P-1/P+1/ECM available, skipping
  185. Mon Feb 4 09:34:53 2019 commencing number field sieve (194-digit input)
  186. Mon Feb 4 09:34:53 2019 R0: 170141183460469231731687303715884105728
  187. Mon Feb 4 09:34:53 2019 R1: -1
  188. Mon Feb 4 09:34:53 2019 A0: -1
  189. Mon Feb 4 09:34:53 2019 A1: 0
  190. Mon Feb 4 09:34:53 2019 A2: 0
  191. Mon Feb 4 09:34:53 2019 A3: 0
  192. Mon Feb 4 09:34:53 2019 A4: 0
  193. Mon Feb 4 09:34:53 2019 A5: 0
  194. Mon Feb 4 09:34:53 2019 A6: 10
  195. Mon Feb 4 09:34:53 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2
  196. Mon Feb 4 09:34:53 2019
  197. Mon Feb 4 09:34:53 2019 commencing square root phase
  198. Mon Feb 4 09:34:53 2019 reading relations for dependency 1
  199. Mon Feb 4 09:34:54 2019 read 2757326 cycles
  200. Mon Feb 4 09:34:58 2019 cycles contain 9769416 unique relations
  201. Mon Feb 4 09:35:59 2019 read 9769416 relations
  202. Mon Feb 4 09:36:33 2019 multiplying 9769416 relations
  203. Mon Feb 4 09:41:31 2019 multiply complete, coefficients have about 265.98 million bits
  204. Mon Feb 4 09:41:32 2019 initial square root is modulo 59263
  205. Mon Feb 4 09:47:04 2019 GCD is 1, no factor found
  206. Mon Feb 4 09:47:04 2019 reading relations for dependency 2
  207. Mon Feb 4 09:47:05 2019 read 2758284 cycles
  208. Mon Feb 4 09:47:09 2019 cycles contain 9771806 unique relations
  209. Mon Feb 4 09:48:09 2019 read 9771806 relations
  210. Mon Feb 4 09:48:38 2019 multiplying 9771806 relations
  211. Mon Feb 4 09:53:36 2019 multiply complete, coefficients have about 266.04 million bits
  212. Mon Feb 4 09:53:37 2019 initial square root is modulo 59407
  213. Mon Feb 4 10:00:00 2019 GCD is N, no factor found
  214. Mon Feb 4 10:00:00 2019 reading relations for dependency 3
  215. Mon Feb 4 10:00:00 2019 read 2757008 cycles
  216. Mon Feb 4 10:00:04 2019 cycles contain 9767574 unique relations
  217. Mon Feb 4 10:01:13 2019 read 9767574 relations
  218. Mon Feb 4 10:01:42 2019 multiplying 9767574 relations
  219. Mon Feb 4 10:07:08 2019 multiply complete, coefficients have about 265.94 million bits
  220. Mon Feb 4 10:07:09 2019 initial square root is modulo 59149
  221. Mon Feb 4 10:17:23 2019 GCD is 1, no factor found
  222. Mon Feb 4 10:17:23 2019 reading relations for dependency 4
  223. Mon Feb 4 10:17:24 2019 read 2757080 cycles
  224. Mon Feb 4 10:17:31 2019 cycles contain 9767570 unique relations
  225. Mon Feb 4 10:18:33 2019 read 9767570 relations
  226. Mon Feb 4 10:19:01 2019 multiplying 9767570 relations
  227. Mon Feb 4 10:23:57 2019 multiply complete, coefficients have about 265.93 million bits
  228. Mon Feb 4 10:23:58 2019 initial square root is modulo 59149
  229. Mon Feb 4 10:29:26 2019 GCD is N, no factor found
  230. Mon Feb 4 10:29:26 2019 reading relations for dependency 5
  231. Mon Feb 4 10:29:27 2019 read 2755885 cycles
  232. Mon Feb 4 10:29:32 2019 cycles contain 9764838 unique relations
  233. Mon Feb 4 10:30:32 2019 read 9764838 relations
  234. Mon Feb 4 10:31:01 2019 multiplying 9764838 relations
  235. Mon Feb 4 10:35:56 2019 multiply complete, coefficients have about 265.86 million bits
  236. Mon Feb 4 10:35:57 2019 initial square root is modulo 59011
  237. Mon Feb 4 10:41:24 2019 GCD is N, no factor found
  238. Mon Feb 4 10:41:24 2019 reading relations for dependency 6
  239. Mon Feb 4 10:41:25 2019 read 2755651 cycles
  240. Mon Feb 4 10:41:30 2019 cycles contain 9767982 unique relations
  241. Mon Feb 4 10:42:30 2019 read 9767982 relations
  242. Mon Feb 4 10:43:00 2019 multiplying 9767982 relations
  243. Mon Feb 4 10:47:56 2019 multiply complete, coefficients have about 265.95 million bits
  244. Mon Feb 4 10:47:57 2019 initial square root is modulo 59233
  245. Mon Feb 4 10:53:25 2019 sqrtTime: 4712
  246. Mon Feb 4 10:53:25 2019 p93 factor: 211429536255685107845635186603312523701125575979739274158437577030985388685997037542343774827
  247. Mon Feb 4 10:53:25 2019 p102 factor: 368160791113526986089988588131261789210154887049076681392811447508725779150222587444449436894276956773
  248. Mon Feb 4 10:53:25 2019 elapsed time 01:18:33
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