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Jan 18th, 2018
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  1. Sat Jan 13 07:47:44 2018
  2. Sat Jan 13 07:47:44 2018
  3. Sat Jan 13 07:47:44 2018 Msieve v. 1.53 (SVN unknown)
  4. Sat Jan 13 07:47:44 2018 random seeds: bc3cf400 78756c6e
  5. Sat Jan 13 07:47:44 2018 factoring 621085412790375307954842303091242401599187785292720387746556526386679857104333956026343063778911229796200937308543061359094429164695389309646960536529277270574547452218723280530181202814788132166578758240264451449370939414863659139 (231 digits)
  6. Sat Jan 13 07:47:46 2018 searching for 15-digit factors
  7. Sat Jan 13 07:47:47 2018 commencing number field sieve (231-digit input)
  8. Sat Jan 13 07:47:47 2018 R0: 377963825299746235969115118367001548947456
  9. Sat Jan 13 07:47:47 2018 R1: -25004854810776297743
  10. Sat Jan 13 07:47:47 2018 A0: 54
  11. Sat Jan 13 07:47:47 2018 A1: 0
  12. Sat Jan 13 07:47:47 2018 A2: 0
  13. Sat Jan 13 07:47:47 2018 A3: 0
  14. Sat Jan 13 07:47:47 2018 A4: 0
  15. Sat Jan 13 07:47:47 2018 A5: 0
  16. Sat Jan 13 07:47:47 2018 A6: 1
  17. Sat Jan 13 07:47:47 2018 skew 1.94, size 2.476e-12, alpha 0.964, combined = 2.298e-13 rroots = 0
  18. Sat Jan 13 07:47:47 2018
  19. Sat Jan 13 07:47:47 2018 commencing relation filtering
  20. Sat Jan 13 07:47:47 2018 setting target matrix density to 124.0
  21. Sat Jan 13 07:47:47 2018 estimated available RAM is 32721.3 MB
  22. Sat Jan 13 07:47:47 2018 commencing duplicate removal, pass 1
  23. Sat Jan 13 07:50:53 2018 error -5 reading relation 13893700
  24. Sat Jan 13 07:51:05 2018 error -15 reading relation 14792456
  25. Sat Jan 13 07:51:11 2018 error -5 reading relation 15303254
  26. Sat Jan 13 07:52:39 2018 error -9 reading relation 21866189
  27. Sat Jan 13 07:52:47 2018 error -15 reading relation 22467871
  28. Sat Jan 13 07:52:52 2018 error -9 reading relation 22854370
  29. Sat Jan 13 07:52:57 2018 error -15 reading relation 23228417
  30. Sat Jan 13 07:53:06 2018 error -9 reading relation 23904490
  31. Sat Jan 13 07:53:11 2018 error -9 reading relation 24320272
  32. Sat Jan 13 07:53:11 2018 error -9 reading relation 24320997
  33. Sat Jan 13 07:53:14 2018 error -9 reading relation 24533455
  34. Sat Jan 13 07:53:18 2018 error -9 reading relation 24821941
  35. Sat Jan 13 07:53:20 2018 error -15 reading relation 24973571
  36. Sat Jan 13 07:53:25 2018 error -15 reading relation 25409690
  37. Sat Jan 13 07:53:25 2018 error -15 reading relation 25410350
  38. Sat Jan 13 07:53:54 2018 error -9 reading relation 27591357
  39. Sat Jan 13 07:54:34 2018 error -5 reading relation 30584462
  40. Sat Jan 13 07:54:43 2018 error -1 reading relation 31245856
  41. Sat Jan 13 08:44:13 2018 error -15 reading relation 254898326
  42. Sat Jan 13 08:44:13 2018 error -5 reading relation 254922571
  43. Sat Jan 13 08:44:14 2018 error -15 reading relation 254945464
  44. Sat Jan 13 08:44:14 2018 error -1 reading relation 254946161
  45. Sat Jan 13 08:44:16 2018 error -9 reading relation 255140243
  46. Sat Jan 13 08:44:16 2018 error -15 reading relation 255153580
  47. Sat Jan 13 08:44:17 2018 error -15 reading relation 255159097
  48. Sat Jan 13 08:44:17 2018 error -9 reading relation 255164163
  49. Sat Jan 13 08:44:17 2018 error -15 reading relation 255196917
  50. Sat Jan 13 08:44:17 2018 error -1 reading relation 255209136
  51. Sat Jan 13 08:44:18 2018 error -1 reading relation 255247651
  52. Sat Jan 13 08:44:19 2018 error -1 reading relation 255342375
  53. Sat Jan 13 08:44:19 2018 error -1 reading relation 255349264
  54. Sat Jan 13 08:44:19 2018 error -1 reading relation 255371658
  55. Sat Jan 13 08:44:19 2018 error -9 reading relation 255378524
  56. Sat Jan 13 08:44:20 2018 error -1 reading relation 255442890
  57. Sat Jan 13 08:44:20 2018 error -9 reading relation 255445757
  58. Sat Jan 13 08:44:20 2018 error -1 reading relation 255447877
  59. Sat Jan 13 08:44:21 2018 error -5 reading relation 255456717
  60. Sat Jan 13 08:44:23 2018 error -9 reading relation 255678550
  61. Sat Jan 13 08:44:26 2018 error -1 reading relation 255872594
  62. Sat Jan 13 08:44:30 2018 error -5 reading relation 256150401
  63. Sat Jan 13 08:44:32 2018 error -9 reading relation 256315307
  64. Sat Jan 13 08:44:34 2018 error -15 reading relation 256482520
  65. Sat Jan 13 08:44:36 2018 error -9 reading relation 256603067
  66. Sat Jan 13 08:45:06 2018 skipped 35 relations with b > 2^32
  67. Sat Jan 13 08:45:06 2018 skipped 2037 relations with composite factors
  68. Sat Jan 13 08:45:06 2018 found 57146125 hash collisions in 257894115 relations
  69. Sat Jan 13 08:45:27 2018 commencing duplicate removal, pass 2
  70. Sat Jan 13 08:49:59 2018 found 58792994 duplicates and 199101121 unique relations
  71. Sat Jan 13 08:49:59 2018 memory use: 1449.5 MB
  72. Sat Jan 13 08:49:59 2018 reading ideals above 217382912
  73. Sat Jan 13 08:49:59 2018 commencing singleton removal, initial pass
  74. Sat Jan 13 09:22:12 2018 memory use: 3012.0 MB
  75. Sat Jan 13 09:22:12 2018 reading all ideals from disk
  76. Sat Jan 13 09:22:13 2018 memory use: 3182.5 MB
  77. Sat Jan 13 09:22:20 2018 commencing in-memory singleton removal
  78. Sat Jan 13 09:22:26 2018 begin with 199101121 relations and 154120671 unique ideals
  79. Sat Jan 13 09:23:36 2018 reduce to 134018061 relations and 82806079 ideals in 13 passes
  80. Sat Jan 13 09:23:36 2018 max relations containing the same ideal: 34
  81. Sat Jan 13 09:23:46 2018 reading ideals above 720000
  82. Sat Jan 13 09:23:47 2018 commencing singleton removal, initial pass
  83. Sat Jan 13 09:50:21 2018 memory use: 2756.0 MB
  84. Sat Jan 13 09:50:21 2018 reading all ideals from disk
  85. Sat Jan 13 09:51:07 2018 memory use: 5306.5 MB
  86. Sat Jan 13 09:51:22 2018 keeping 106081811 ideals with weight <= 200, target excess is 693502
  87. Sat Jan 13 09:51:40 2018 commencing in-memory singleton removal
  88. Sat Jan 13 09:51:52 2018 begin with 134018061 relations and 106081811 unique ideals
  89. Sat Jan 13 09:53:36 2018 reduce to 133976516 relations and 106040241 ideals in 8 passes
  90. Sat Jan 13 09:53:36 2018 max relations containing the same ideal: 200
  91. Sat Jan 13 09:54:39 2018 removing 10508085 relations and 8508085 ideals in 2000000 cliques
  92. Sat Jan 13 09:54:43 2018 commencing in-memory singleton removal
  93. Sat Jan 13 09:54:54 2018 begin with 123468431 relations and 106040241 unique ideals
  94. Sat Jan 13 09:56:42 2018 reduce to 122875609 relations and 96928515 ideals in 9 passes
  95. Sat Jan 13 09:56:42 2018 max relations containing the same ideal: 196
  96. Sat Jan 13 09:57:40 2018 removing 8002694 relations and 6002694 ideals in 2000000 cliques
  97. Sat Jan 13 09:57:43 2018 commencing in-memory singleton removal
  98. Sat Jan 13 09:57:54 2018 begin with 114872915 relations and 96928515 unique ideals
  99. Sat Jan 13 09:59:12 2018 reduce to 114479292 relations and 90525613 ideals in 7 passes
  100. Sat Jan 13 09:59:12 2018 max relations containing the same ideal: 190
  101. Sat Jan 13 10:00:05 2018 removing 7247264 relations and 5247264 ideals in 2000000 cliques
  102. Sat Jan 13 10:00:08 2018 commencing in-memory singleton removal
  103. Sat Jan 13 10:00:17 2018 begin with 107232028 relations and 90525613 unique ideals
  104. Sat Jan 13 10:01:28 2018 reduce to 106886493 relations and 84927160 ideals in 7 passes
  105. Sat Jan 13 10:01:28 2018 max relations containing the same ideal: 182
  106. Sat Jan 13 10:02:18 2018 removing 6859324 relations and 4859324 ideals in 2000000 cliques
  107. Sat Jan 13 10:02:21 2018 commencing in-memory singleton removal
  108. Sat Jan 13 10:02:30 2018 begin with 100027169 relations and 84927160 unique ideals
  109. Sat Jan 13 10:03:36 2018 reduce to 99707529 relations and 79742731 ideals in 7 passes
  110. Sat Jan 13 10:03:36 2018 max relations containing the same ideal: 177
  111. Sat Jan 13 10:04:22 2018 removing 6606567 relations and 4606567 ideals in 2000000 cliques
  112. Sat Jan 13 10:04:25 2018 commencing in-memory singleton removal
  113. Sat Jan 13 10:04:32 2018 begin with 93100962 relations and 79742731 unique ideals
  114. Sat Jan 13 10:05:33 2018 reduce to 92794510 relations and 74824385 ideals in 7 passes
  115. Sat Jan 13 10:05:33 2018 max relations containing the same ideal: 169
  116. Sat Jan 13 10:06:16 2018 removing 6430565 relations and 4430565 ideals in 2000000 cliques
  117. Sat Jan 13 10:06:19 2018 commencing in-memory singleton removal
  118. Sat Jan 13 10:06:26 2018 begin with 86363945 relations and 74824385 unique ideals
  119. Sat Jan 13 10:07:21 2018 reduce to 86063858 relations and 70088005 ideals in 7 passes
  120. Sat Jan 13 10:07:21 2018 max relations containing the same ideal: 157
  121. Sat Jan 13 10:08:02 2018 removing 6296803 relations and 4296803 ideals in 2000000 cliques
  122. Sat Jan 13 10:08:04 2018 commencing in-memory singleton removal
  123. Sat Jan 13 10:08:11 2018 begin with 79767055 relations and 70088005 unique ideals
  124. Sat Jan 13 10:09:02 2018 reduce to 79464476 relations and 65482509 ideals in 7 passes
  125. Sat Jan 13 10:09:02 2018 max relations containing the same ideal: 150
  126. Sat Jan 13 10:09:40 2018 removing 6190972 relations and 4190972 ideals in 2000000 cliques
  127. Sat Jan 13 10:09:42 2018 commencing in-memory singleton removal
  128. Sat Jan 13 10:09:49 2018 begin with 73273504 relations and 65482509 unique ideals
  129. Sat Jan 13 10:10:29 2018 reduce to 72965691 relations and 60977161 ideals in 6 passes
  130. Sat Jan 13 10:10:29 2018 max relations containing the same ideal: 141
  131. Sat Jan 13 10:11:03 2018 removing 6113146 relations and 4113146 ideals in 2000000 cliques
  132. Sat Jan 13 10:11:05 2018 commencing in-memory singleton removal
  133. Sat Jan 13 10:11:11 2018 begin with 66852545 relations and 60977161 unique ideals
  134. Sat Jan 13 10:11:47 2018 reduce to 66533072 relations and 56537052 ideals in 6 passes
  135. Sat Jan 13 10:11:47 2018 max relations containing the same ideal: 135
  136. Sat Jan 13 10:12:19 2018 removing 6047385 relations and 4047385 ideals in 2000000 cliques
  137. Sat Jan 13 10:12:21 2018 commencing in-memory singleton removal
  138. Sat Jan 13 10:12:26 2018 begin with 60485687 relations and 56537052 unique ideals
  139. Sat Jan 13 10:13:04 2018 reduce to 60148197 relations and 52143453 ideals in 7 passes
  140. Sat Jan 13 10:13:04 2018 max relations containing the same ideal: 125
  141. Sat Jan 13 10:13:32 2018 removing 6003495 relations and 4003495 ideals in 2000000 cliques
  142. Sat Jan 13 10:13:34 2018 commencing in-memory singleton removal
  143. Sat Jan 13 10:13:39 2018 begin with 54144702 relations and 52143453 unique ideals
  144. Sat Jan 13 10:14:08 2018 reduce to 53777990 relations and 47762877 ideals in 6 passes
  145. Sat Jan 13 10:14:08 2018 max relations containing the same ideal: 117
  146. Sat Jan 13 10:14:33 2018 removing 5984091 relations and 3984091 ideals in 2000000 cliques
  147. Sat Jan 13 10:14:35 2018 commencing in-memory singleton removal
  148. Sat Jan 13 10:14:39 2018 begin with 47793899 relations and 47762877 unique ideals
  149. Sat Jan 13 10:15:09 2018 reduce to 47380206 relations and 43352184 ideals in 7 passes
  150. Sat Jan 13 10:15:09 2018 max relations containing the same ideal: 106
  151. Sat Jan 13 10:15:32 2018 removing 5993936 relations and 3993936 ideals in 2000000 cliques
  152. Sat Jan 13 10:15:33 2018 commencing in-memory singleton removal
  153. Sat Jan 13 10:15:37 2018 begin with 41386270 relations and 43352184 unique ideals
  154. Sat Jan 13 10:16:02 2018 reduce to 40894945 relations and 38849433 ideals in 7 passes
  155. Sat Jan 13 10:16:02 2018 max relations containing the same ideal: 94
  156. Sat Jan 13 10:16:22 2018 removing 4085012 relations and 2843963 ideals in 1241049 cliques
  157. Sat Jan 13 10:16:23 2018 commencing in-memory singleton removal
  158. Sat Jan 13 10:16:26 2018 begin with 36809933 relations and 38849433 unique ideals
  159. Sat Jan 13 10:16:48 2018 reduce to 36518453 relations and 35706120 ideals in 7 passes
  160. Sat Jan 13 10:16:48 2018 max relations containing the same ideal: 90
  161. Sat Jan 13 10:17:12 2018 relations with 0 large ideals: 26600
  162. Sat Jan 13 10:17:12 2018 relations with 1 large ideals: 10126
  163. Sat Jan 13 10:17:12 2018 relations with 2 large ideals: 141096
  164. Sat Jan 13 10:17:12 2018 relations with 3 large ideals: 933636
  165. Sat Jan 13 10:17:12 2018 relations with 4 large ideals: 3352159
  166. Sat Jan 13 10:17:12 2018 relations with 5 large ideals: 7186080
  167. Sat Jan 13 10:17:12 2018 relations with 6 large ideals: 9674591
  168. Sat Jan 13 10:17:12 2018 relations with 7+ large ideals: 15194165
  169. Sat Jan 13 10:17:12 2018 commencing 2-way merge
  170. Sat Jan 13 10:17:35 2018 reduce to 25104254 relation sets and 24291921 unique ideals
  171. Sat Jan 13 10:17:35 2018 commencing full merge
  172. Sat Jan 13 10:28:29 2018 memory use: 3130.2 MB
  173. Sat Jan 13 10:28:32 2018 found 11052215 cycles, need 11024121
  174. Sat Jan 13 10:28:33 2018 weight of 11024121 cycles is about 1367332147 (124.03/cycle)
  175. Sat Jan 13 10:28:33 2018 distribution of cycle lengths:
  176. Sat Jan 13 10:28:33 2018 1 relations: 344922
  177. Sat Jan 13 10:28:33 2018 2 relations: 558173
  178. Sat Jan 13 10:28:33 2018 3 relations: 701368
  179. Sat Jan 13 10:28:33 2018 4 relations: 767287
  180. Sat Jan 13 10:28:33 2018 5 relations: 813077
  181. Sat Jan 13 10:28:33 2018 6 relations: 827638
  182. Sat Jan 13 10:28:33 2018 7 relations: 823546
  183. Sat Jan 13 10:28:33 2018 8 relations: 796368
  184. Sat Jan 13 10:28:33 2018 9 relations: 750790
  185. Sat Jan 13 10:28:33 2018 10+ relations: 4640952
  186. Sat Jan 13 10:28:33 2018 heaviest cycle: 28 relations
  187. Sat Jan 13 10:28:36 2018 commencing cycle optimization
  188. Sat Jan 13 10:28:57 2018 start with 101415657 relations
  189. Sat Jan 13 10:34:15 2018 pruned 5343660 relations
  190. Sat Jan 13 10:34:15 2018 memory use: 2563.6 MB
  191. Sat Jan 13 10:34:15 2018 distribution of cycle lengths:
  192. Sat Jan 13 10:34:15 2018 1 relations: 344922
  193. Sat Jan 13 10:34:15 2018 2 relations: 573922
  194. Sat Jan 13 10:34:15 2018 3 relations: 734642
  195. Sat Jan 13 10:34:15 2018 4 relations: 804646
  196. Sat Jan 13 10:34:15 2018 5 relations: 861286
  197. Sat Jan 13 10:34:15 2018 6 relations: 876141
  198. Sat Jan 13 10:34:15 2018 7 relations: 876825
  199. Sat Jan 13 10:34:15 2018 8 relations: 843541
  200. Sat Jan 13 10:34:15 2018 9 relations: 794289
  201. Sat Jan 13 10:34:15 2018 10+ relations: 4313907
  202. Sat Jan 13 10:34:15 2018 heaviest cycle: 28 relations
  203. Sat Jan 13 10:34:39 2018 RelProcTime: 10012
  204. Sat Jan 13 10:34:39 2018
  205. Sat Jan 13 10:34:39 2018 commencing linear algebra
  206. Sat Jan 13 10:34:41 2018 read 11024121 cycles
  207. Sat Jan 13 10:35:08 2018 cycles contain 36093930 unique relations
  208. Sat Jan 13 10:41:21 2018 read 36093930 relations
  209. Sat Jan 13 10:42:50 2018 using 20 quadratic characters above 4294917295
  210. Sat Jan 13 10:45:19 2018 building initial matrix
  211. Sat Jan 13 10:54:06 2018 memory use: 4748.1 MB
  212. Sat Jan 13 10:54:15 2018 read 11024121 cycles
  213. Sat Jan 13 10:54:18 2018 matrix is 11023944 x 11024121 (5277.6 MB) with weight 1516978650 (137.61/col)
  214. Sat Jan 13 10:54:18 2018 sparse part has weight 1262223502 (114.50/col)
  215. Sat Jan 13 10:57:06 2018 filtering completed in 2 passes
  216. Sat Jan 13 10:57:09 2018 matrix is 11023840 x 11024017 (5277.6 MB) with weight 1516975060 (137.61/col)
  217. Sat Jan 13 10:57:09 2018 sparse part has weight 1262222358 (114.50/col)
  218. Sat Jan 13 10:57:53 2018 matrix starts at (0, 0)
  219. Sat Jan 13 10:57:57 2018 matrix is 11023840 x 11024017 (5277.6 MB) with weight 1516975060 (137.61/col)
  220. Sat Jan 13 10:57:57 2018 sparse part has weight 1262222358 (114.50/col)
  221. Sat Jan 13 10:57:57 2018 saving the first 48 matrix rows for later
  222. Sat Jan 13 10:58:00 2018 matrix includes 64 packed rows
  223. Sat Jan 13 10:58:02 2018 matrix is 11023792 x 11024017 (5050.6 MB) with weight 1301220280 (118.04/col)
  224. Sat Jan 13 10:58:02 2018 sparse part has weight 1213750713 (110.10/col)
  225. Sat Jan 13 10:58:02 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  226. Sat Jan 13 10:59:21 2018 commencing Lanczos iteration (8 threads)
  227. Sat Jan 13 10:59:21 2018 memory use: 4316.0 MB
  228. Sat Jan 13 11:00:18 2018 linear algebra at 0.0%, ETA 110h51m
  229. Sat Jan 13 11:00:36 2018 checkpointing every 100000 dimensions
  230. Wed Jan 17 20:22:13 2018 lanczos halted after 174334 iterations (dim = 11023792)
  231. Wed Jan 17 20:22:40 2018 recovered 38 nontrivial dependencies
  232. Wed Jan 17 20:22:52 2018 BLanczosTime: 380893
  233. Wed Jan 17 20:22:52 2018
  234. Wed Jan 17 20:22:52 2018 commencing square root phase
  235. Wed Jan 17 20:22:52 2018 handling dependencies 1 to 64
  236. Wed Jan 17 20:22:52 2018 reading relations for dependency 1
  237. Wed Jan 17 20:22:54 2018 read 5513442 cycles
  238. Wed Jan 17 20:23:08 2018 cycles contain 18052926 unique relations
  239. Wed Jan 17 20:28:00 2018 read 18052926 relations
  240. Wed Jan 17 20:29:43 2018 multiplying 18052926 relations
  241. Wed Jan 17 20:41:57 2018 multiply complete, coefficients have about 462.72 million bits
  242. Wed Jan 17 20:42:01 2018 initial square root is modulo 200781403
  243. Wed Jan 17 20:56:49 2018 GCD is 1, no factor found
  244. Wed Jan 17 20:56:49 2018 reading relations for dependency 2
  245. Wed Jan 17 20:56:51 2018 read 5510217 cycles
  246. Wed Jan 17 20:57:05 2018 cycles contain 18042990 unique relations
  247. Wed Jan 17 21:00:34 2018 read 18042990 relations
  248. Wed Jan 17 21:02:14 2018 multiplying 18042990 relations
  249. Wed Jan 17 21:14:24 2018 multiply complete, coefficients have about 462.47 million bits
  250. Wed Jan 17 21:14:28 2018 initial square root is modulo 198659437
  251. Wed Jan 17 21:29:11 2018 GCD is N, no factor found
  252. Wed Jan 17 21:29:11 2018 reading relations for dependency 3
  253. Wed Jan 17 21:29:13 2018 read 5513609 cycles
  254. Wed Jan 17 21:29:25 2018 cycles contain 18048330 unique relations
  255. Wed Jan 17 21:32:47 2018 read 18048330 relations
  256. Wed Jan 17 21:34:30 2018 multiplying 18048330 relations
  257. Wed Jan 17 21:46:45 2018 multiply complete, coefficients have about 462.60 million bits
  258. Wed Jan 17 21:46:49 2018 initial square root is modulo 199751029
  259. Wed Jan 17 22:01:32 2018 sqrtTime: 5920
  260. Wed Jan 17 22:01:32 2018 p57 factor: 302036817350916621903118688577670776833671599786371358197
  261. Wed Jan 17 22:01:32 2018 p175 factor: 2056323524521771142852917589674084239994692615944175278685769037807636794472617851339521605874409372964087306290511408533694056163187105290088074671977999568266864460887368087
  262. Wed Jan 17 22:01:32 2018 elapsed time 110:13:48
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