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  1. Fri Jul 1 02:50:15 2016 Msieve v. 1.52 (SVN 956M)
  2. Fri Jul 1 02:50:15 2016 random seeds: afff6f42 1dff39a4
  3. Fri Jul 1 02:50:15 2016 factoring 54801338992165379956447965016469750339261603561215671605993851965165291279029393285304608753733011908340146998755095059051859905357570417552082752058435449772484367643328724439839775971987365428174687929809 (206 digits)
  4. Fri Jul 1 02:50:16 2016 no P-1/P+1/ECM available, skipping
  5. Fri Jul 1 02:50:16 2016 commencing number field sieve (206-digit input)
  6. Fri Jul 1 02:50:16 2016 R0: 36732225162896895721934329
  7. Fri Jul 1 02:50:16 2016 R1: -131742030882010214579337638234485161984
  8. Fri Jul 1 02:50:16 2016 A0: 7056
  9. Fri Jul 1 02:50:16 2016 A1: 0
  10. Fri Jul 1 02:50:16 2016 A2: 0
  11. Fri Jul 1 02:50:16 2016 A3: 0
  12. Fri Jul 1 02:50:16 2016 A4: 0
  13. Fri Jul 1 02:50:16 2016 A5: 0
  14. Fri Jul 1 02:50:16 2016 A6: 1
  15. Fri Jul 1 02:50:16 2016 skew 4.38, size 1.309e-11, alpha -0.411, combined = 7.886e-13 rroots = 0
  16. Fri Jul 1 02:50:16 2016
  17. Fri Jul 1 02:50:16 2016 commencing relation filtering
  18. Fri Jul 1 02:50:16 2016 setting target matrix density to 120.0
  19. Fri Jul 1 02:50:16 2016 estimated available RAM is 15928.2 MB
  20. Fri Jul 1 02:50:16 2016 commencing duplicate removal, pass 1
  21. Fri Jul 1 02:58:39 2016 error -9 reading relation 118006437
  22. Fri Jul 1 02:58:41 2016 error -9 reading relation 118326126
  23. Fri Jul 1 02:58:41 2016 error -9 reading relation 118419979
  24. Fri Jul 1 02:58:42 2016 error -9 reading relation 118644826
  25. Fri Jul 1 02:59:28 2016 error -5 reading relation 129394618
  26. Fri Jul 1 02:59:33 2016 error -15 reading relation 130695365
  27. Fri Jul 1 02:59:34 2016 error -15 reading relation 130741633
  28. Fri Jul 1 02:59:34 2016 error -15 reading relation 130876545
  29. Fri Jul 1 03:00:00 2016 error -9 reading relation 137109768
  30. Fri Jul 1 03:00:42 2016 error -9 reading relation 147228486
  31. Fri Jul 1 03:00:56 2016 error -15 reading relation 150449825
  32. Fri Jul 1 03:01:04 2016 error -9 reading relation 152348655
  33. Fri Jul 1 03:01:05 2016 error -15 reading relation 152714810
  34. Fri Jul 1 03:01:05 2016 error -1 reading relation 152747773
  35. Fri Jul 1 03:01:08 2016 error -15 reading relation 153395815
  36. Fri Jul 1 03:01:09 2016 error -1 reading relation 153677284
  37. Fri Jul 1 03:01:10 2016 error -9 reading relation 153916472
  38. Fri Jul 1 03:01:11 2016 error -9 reading relation 154147895
  39. Fri Jul 1 03:01:16 2016 error -9 reading relation 155326601
  40. Fri Jul 1 03:02:05 2016 error -15 reading relation 166711681
  41. Fri Jul 1 03:03:16 2016 error -15 reading relation 183836445
  42. Fri Jul 1 03:03:17 2016 error -9 reading relation 183887848
  43. Fri Jul 1 03:03:28 2016 error -15 reading relation 186676564
  44. Fri Jul 1 03:03:42 2016 error -15 reading relation 190243249
  45. Fri Jul 1 03:03:42 2016 error -9 reading relation 190243799
  46. Fri Jul 1 03:03:46 2016 error -15 reading relation 191146097
  47. Fri Jul 1 03:03:52 2016 error -15 reading relation 192532290
  48. Fri Jul 1 03:03:53 2016 error -15 reading relation 192670588
  49. Fri Jul 1 03:03:53 2016 error -15 reading relation 192671747
  50. Fri Jul 1 03:03:53 2016 error -15 reading relation 192785298
  51. Fri Jul 1 03:03:53 2016 error -9 reading relation 192845513
  52. Fri Jul 1 03:03:54 2016 error -9 reading relation 192901856
  53. Fri Jul 1 03:03:54 2016 error -15 reading relation 192934231
  54. Fri Jul 1 03:03:54 2016 error -9 reading relation 192967064
  55. Fri Jul 1 03:03:54 2016 error -15 reading relation 192998967
  56. Fri Jul 1 03:03:54 2016 error -1 reading relation 193026516
  57. Fri Jul 1 03:03:54 2016 error -15 reading relation 193058906
  58. Fri Jul 1 03:03:55 2016 error -5 reading relation 193206301
  59. Fri Jul 1 03:03:56 2016 error -9 reading relation 193333450
  60. Fri Jul 1 03:03:56 2016 error -9 reading relation 193379770
  61. Fri Jul 1 03:03:58 2016 error -5 reading relation 193925331
  62. Fri Jul 1 03:03:58 2016 error -15 reading relation 194032776
  63. Fri Jul 1 03:04:08 2016 error -11 reading relation 196219300
  64. Fri Jul 1 03:05:55 2016 skipped 1 relations with b > 2^32
  65. Fri Jul 1 03:05:55 2016 found 36020692 hash collisions in 221580804 relations
  66. Fri Jul 1 03:06:08 2016 added 1218555 free relations
  67. Fri Jul 1 03:06:08 2016 commencing duplicate removal, pass 2
  68. Fri Jul 1 03:07:11 2016 found 32578999 duplicates and 190220360 unique relations
  69. Fri Jul 1 03:07:11 2016 memory use: 1321.5 MB
  70. Fri Jul 1 03:07:11 2016 reading ideals above 100990976
  71. Fri Jul 1 03:07:11 2016 commencing singleton removal, initial pass
  72. Fri Jul 1 03:22:57 2016 memory use: 3012.0 MB
  73. Fri Jul 1 03:22:58 2016 reading all ideals from disk
  74. Fri Jul 1 03:23:03 2016 memory use: 3386.5 MB
  75. Fri Jul 1 03:23:10 2016 commencing in-memory singleton removal
  76. Fri Jul 1 03:23:17 2016 begin with 190220360 relations and 160325854 unique ideals
  77. Fri Jul 1 03:24:23 2016 reduce to 120118026 relations and 82640608 ideals in 14 passes
  78. Fri Jul 1 03:24:23 2016 max relations containing the same ideal: 34
  79. Fri Jul 1 03:24:28 2016 reading ideals above 720000
  80. Fri Jul 1 03:24:29 2016 commencing singleton removal, initial pass
  81. Fri Jul 1 03:36:53 2016 memory use: 2756.0 MB
  82. Fri Jul 1 03:36:53 2016 reading all ideals from disk
  83. Fri Jul 1 03:37:03 2016 memory use: 4590.6 MB
  84. Fri Jul 1 03:37:14 2016 keeping 93669816 ideals with weight <= 200, target excess is 597201
  85. Fri Jul 1 03:37:26 2016 commencing in-memory singleton removal
  86. Fri Jul 1 03:37:33 2016 begin with 120118026 relations and 93669816 unique ideals
  87. Fri Jul 1 03:38:15 2016 reduce to 120116911 relations and 93668701 ideals in 6 passes
  88. Fri Jul 1 03:38:15 2016 max relations containing the same ideal: 200
  89. Fri Jul 1 03:38:50 2016 removing 10595081 relations and 8595081 ideals in 2000000 cliques
  90. Fri Jul 1 03:38:53 2016 commencing in-memory singleton removal
  91. Fri Jul 1 03:38:59 2016 begin with 109521830 relations and 93668701 unique ideals
  92. Fri Jul 1 03:39:47 2016 reduce to 108838539 relations and 84376175 ideals in 8 passes
  93. Fri Jul 1 03:39:47 2016 max relations containing the same ideal: 196
  94. Fri Jul 1 03:40:19 2016 removing 8020858 relations and 6020858 ideals in 2000000 cliques
  95. Fri Jul 1 03:40:21 2016 commencing in-memory singleton removal
  96. Fri Jul 1 03:40:27 2016 begin with 100817681 relations and 84376175 unique ideals
  97. Fri Jul 1 03:41:11 2016 reduce to 100361384 relations and 77890634 ideals in 8 passes
  98. Fri Jul 1 03:41:11 2016 max relations containing the same ideal: 190
  99. Fri Jul 1 03:41:40 2016 removing 7271381 relations and 5271381 ideals in 2000000 cliques
  100. Fri Jul 1 03:41:43 2016 commencing in-memory singleton removal
  101. Fri Jul 1 03:41:48 2016 begin with 93090003 relations and 77890634 unique ideals
  102. Fri Jul 1 03:42:23 2016 reduce to 92688654 relations and 72210341 ideals in 7 passes
  103. Fri Jul 1 03:42:23 2016 max relations containing the same ideal: 179
  104. Fri Jul 1 03:42:51 2016 removing 6884865 relations and 4884865 ideals in 2000000 cliques
  105. Fri Jul 1 03:42:53 2016 commencing in-memory singleton removal
  106. Fri Jul 1 03:42:57 2016 begin with 85803789 relations and 72210341 unique ideals
  107. Fri Jul 1 03:43:30 2016 reduce to 85425106 relations and 66939286 ideals in 7 passes
  108. Fri Jul 1 03:43:30 2016 max relations containing the same ideal: 170
  109. Fri Jul 1 03:43:56 2016 removing 6644894 relations and 4644894 ideals in 2000000 cliques
  110. Fri Jul 1 03:43:58 2016 commencing in-memory singleton removal
  111. Fri Jul 1 03:44:02 2016 begin with 78780212 relations and 66939286 unique ideals
  112. Fri Jul 1 03:44:32 2016 reduce to 78409023 relations and 61915561 ideals in 7 passes
  113. Fri Jul 1 03:44:32 2016 max relations containing the same ideal: 162
  114. Fri Jul 1 03:44:55 2016 removing 6479800 relations and 4479800 ideals in 2000000 cliques
  115. Fri Jul 1 03:44:57 2016 commencing in-memory singleton removal
  116. Fri Jul 1 03:45:01 2016 begin with 71929223 relations and 61915561 unique ideals
  117. Fri Jul 1 03:45:28 2016 reduce to 71555107 relations and 57053154 ideals in 7 passes
  118. Fri Jul 1 03:45:28 2016 max relations containing the same ideal: 153
  119. Fri Jul 1 03:45:50 2016 removing 6366689 relations and 4366689 ideals in 2000000 cliques
  120. Fri Jul 1 03:45:52 2016 commencing in-memory singleton removal
  121. Fri Jul 1 03:45:55 2016 begin with 65188418 relations and 57053154 unique ideals
  122. Fri Jul 1 03:46:20 2016 reduce to 64802238 relations and 52290799 ideals in 7 passes
  123. Fri Jul 1 03:46:20 2016 max relations containing the same ideal: 143
  124. Fri Jul 1 03:46:39 2016 removing 6290685 relations and 4290685 ideals in 2000000 cliques
  125. Fri Jul 1 03:46:41 2016 commencing in-memory singleton removal
  126. Fri Jul 1 03:46:44 2016 begin with 58511553 relations and 52290799 unique ideals
  127. Fri Jul 1 03:47:09 2016 reduce to 58104079 relations and 47581678 ideals in 8 passes
  128. Fri Jul 1 03:47:09 2016 max relations containing the same ideal: 134
  129. Fri Jul 1 03:47:27 2016 removing 6239601 relations and 4239601 ideals in 2000000 cliques
  130. Fri Jul 1 03:47:29 2016 commencing in-memory singleton removal
  131. Fri Jul 1 03:47:31 2016 begin with 51864478 relations and 47581678 unique ideals
  132. Fri Jul 1 03:47:51 2016 reduce to 51424045 relations and 42888484 ideals in 7 passes
  133. Fri Jul 1 03:47:51 2016 max relations containing the same ideal: 124
  134. Fri Jul 1 03:48:07 2016 removing 6213549 relations and 4213549 ideals in 2000000 cliques
  135. Fri Jul 1 03:48:08 2016 commencing in-memory singleton removal
  136. Fri Jul 1 03:48:11 2016 begin with 45210496 relations and 42888484 unique ideals
  137. Fri Jul 1 03:48:30 2016 reduce to 44722214 relations and 38170476 ideals in 8 passes
  138. Fri Jul 1 03:48:30 2016 max relations containing the same ideal: 111
  139. Fri Jul 1 03:48:43 2016 removing 6210771 relations and 4210771 ideals in 2000000 cliques
  140. Fri Jul 1 03:48:45 2016 commencing in-memory singleton removal
  141. Fri Jul 1 03:48:47 2016 begin with 38511443 relations and 38170476 unique ideals
  142. Fri Jul 1 03:49:03 2016 reduce to 37954242 relations and 33381057 ideals in 8 passes
  143. Fri Jul 1 03:49:03 2016 max relations containing the same ideal: 100
  144. Fri Jul 1 03:49:15 2016 removing 6227470 relations and 4227470 ideals in 2000000 cliques
  145. Fri Jul 1 03:49:16 2016 commencing in-memory singleton removal
  146. Fri Jul 1 03:49:18 2016 begin with 31726772 relations and 33381057 unique ideals
  147. Fri Jul 1 03:49:31 2016 reduce to 31065949 relations and 28462796 ideals in 8 passes
  148. Fri Jul 1 03:49:31 2016 max relations containing the same ideal: 88
  149. Fri Jul 1 03:49:41 2016 removing 6029990 relations and 4119591 ideals in 1910399 cliques
  150. Fri Jul 1 03:49:42 2016 commencing in-memory singleton removal
  151. Fri Jul 1 03:49:43 2016 begin with 25035959 relations and 28462796 unique ideals
  152. Fri Jul 1 03:49:53 2016 reduce to 24257395 relations and 23522985 ideals in 8 passes
  153. Fri Jul 1 03:49:53 2016 max relations containing the same ideal: 72
  154. Fri Jul 1 03:50:01 2016 removing 269395 relations and 227739 ideals in 41656 cliques
  155. Fri Jul 1 03:50:02 2016 commencing in-memory singleton removal
  156. Fri Jul 1 03:50:03 2016 begin with 23988000 relations and 23522985 unique ideals
  157. Fri Jul 1 03:50:09 2016 reduce to 23985727 relations and 23292965 ideals in 5 passes
  158. Fri Jul 1 03:50:09 2016 max relations containing the same ideal: 72
  159. Fri Jul 1 03:50:13 2016 relations with 0 large ideals: 22645
  160. Fri Jul 1 03:50:13 2016 relations with 1 large ideals: 10528
  161. Fri Jul 1 03:50:13 2016 relations with 2 large ideals: 136582
  162. Fri Jul 1 03:50:13 2016 relations with 3 large ideals: 853502
  163. Fri Jul 1 03:50:13 2016 relations with 4 large ideals: 2815992
  164. Fri Jul 1 03:50:13 2016 relations with 5 large ideals: 5448634
  165. Fri Jul 1 03:50:13 2016 relations with 6 large ideals: 6492373
  166. Fri Jul 1 03:50:13 2016 relations with 7+ large ideals: 8205471
  167. Fri Jul 1 03:50:13 2016 commencing 2-way merge
  168. Fri Jul 1 03:50:22 2016 reduce to 15477578 relation sets and 14784816 unique ideals
  169. Fri Jul 1 03:50:22 2016 commencing full merge
  170. Fri Jul 1 03:54:38 2016 memory use: 2015.1 MB
  171. Fri Jul 1 03:54:39 2016 found 6990028 cycles, need 6973016
  172. Fri Jul 1 03:54:40 2016 weight of 6973016 cycles is about 836943439 (120.03/cycle)
  173. Fri Jul 1 03:54:40 2016 distribution of cycle lengths:
  174. Fri Jul 1 03:54:40 2016 1 relations: 262341
  175. Fri Jul 1 03:54:40 2016 2 relations: 402419
  176. Fri Jul 1 03:54:40 2016 3 relations: 475810
  177. Fri Jul 1 03:54:40 2016 4 relations: 494966
  178. Fri Jul 1 03:54:40 2016 5 relations: 511748
  179. Fri Jul 1 03:54:40 2016 6 relations: 511349
  180. Fri Jul 1 03:54:40 2016 7 relations: 503459
  181. Fri Jul 1 03:54:40 2016 8 relations: 480829
  182. Fri Jul 1 03:54:40 2016 9 relations: 452158
  183. Fri Jul 1 03:54:40 2016 10+ relations: 2877937
  184. Fri Jul 1 03:54:40 2016 heaviest cycle: 28 relations
  185. Fri Jul 1 03:54:42 2016 commencing cycle optimization
  186. Fri Jul 1 03:54:51 2016 start with 63700432 relations
  187. Fri Jul 1 03:56:31 2016 pruned 3042844 relations
  188. Fri Jul 1 03:56:31 2016 memory use: 1649.2 MB
  189. Fri Jul 1 03:56:31 2016 distribution of cycle lengths:
  190. Fri Jul 1 03:56:31 2016 1 relations: 262341
  191. Fri Jul 1 03:56:31 2016 2 relations: 412194
  192. Fri Jul 1 03:56:31 2016 3 relations: 495498
  193. Fri Jul 1 03:56:31 2016 4 relations: 515584
  194. Fri Jul 1 03:56:31 2016 5 relations: 538188
  195. Fri Jul 1 03:56:31 2016 6 relations: 537547
  196. Fri Jul 1 03:56:31 2016 7 relations: 531307
  197. Fri Jul 1 03:56:31 2016 8 relations: 505787
  198. Fri Jul 1 03:56:31 2016 9 relations: 474395
  199. Fri Jul 1 03:56:31 2016 10+ relations: 2700175
  200. Fri Jul 1 03:56:31 2016 heaviest cycle: 28 relations
  201. Fri Jul 1 03:56:39 2016 RelProcTime: 3983
  202. Fri Jul 1 03:56:39 2016
  203. Fri Jul 1 03:56:39 2016 commencing linear algebra
  204. Fri Jul 1 03:56:41 2016 read 6973016 cycles
  205. Fri Jul 1 03:56:53 2016 cycles contain 23608776 unique relations
  206. Fri Jul 1 03:58:52 2016 read 23608776 relations
  207. Fri Jul 1 03:59:20 2016 using 20 quadratic characters above 2147482502
  208. Fri Jul 1 04:00:40 2016 building initial matrix
  209. Fri Jul 1 04:04:08 2016 memory use: 2990.2 MB
  210. Fri Jul 1 04:04:11 2016 read 6973016 cycles
  211. Fri Jul 1 04:04:12 2016 matrix is 6972842 x 6973016 (3261.6 MB) with weight 941240057 (134.98/col)
  212. Fri Jul 1 04:04:12 2016 sparse part has weight 778298585 (111.62/col)
  213. Fri Jul 1 04:05:26 2016 filtering completed in 2 passes
  214. Fri Jul 1 04:05:27 2016 matrix is 6972731 x 6972907 (3261.6 MB) with weight 941235672 (134.98/col)
  215. Fri Jul 1 04:05:27 2016 sparse part has weight 778296956 (111.62/col)
  216. Fri Jul 1 04:06:04 2016 matrix starts at (0, 0)
  217. Fri Jul 1 04:06:05 2016 matrix is 6972731 x 6972907 (3261.6 MB) with weight 941235672 (134.98/col)
  218. Fri Jul 1 04:06:05 2016 sparse part has weight 778296956 (111.62/col)
  219. Fri Jul 1 04:06:05 2016 saving the first 48 matrix rows for later
  220. Fri Jul 1 04:06:06 2016 matrix includes 64 packed rows
  221. Fri Jul 1 04:06:06 2016 matrix is 6972683 x 6972907 (3137.8 MB) with weight 812116253 (116.47/col)
  222. Fri Jul 1 04:06:06 2016 sparse part has weight 752828506 (107.96/col)
  223. Fri Jul 1 04:06:07 2016 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  224. Fri Jul 1 04:06:29 2016 commencing Lanczos iteration (4 threads)
  225. Fri Jul 1 04:06:29 2016 memory use: 2648.9 MB
  226. Fri Jul 1 04:06:53 2016 linear algebra at 0.0%, ETA 29h15m
  227. Fri Jul 1 04:07:01 2016 checkpointing every 240000 dimensions
  228. Sat Jul 2 09:54:03 2016 lanczos halted after 110262 iterations (dim = 6972681)
  229. Sat Jul 2 09:54:09 2016 recovered 39 nontrivial dependencies
  230. Sat Jul 2 09:54:09 2016 BLanczosTime: 107850
  231. Sat Jul 2 09:54:09 2016
  232. Sat Jul 2 09:54:09 2016 commencing square root phase
  233. Sat Jul 2 09:54:09 2016 handling dependencies 1 to 64
  234. Sat Jul 2 09:54:09 2016 reading relations for dependency 1
  235. Sat Jul 2 09:54:10 2016 read 3485533 cycles
  236. Sat Jul 2 09:54:16 2016 cycles contain 11803918 unique relations
  237. Sat Jul 2 09:55:24 2016 read 11803918 relations
  238. Sat Jul 2 09:56:05 2016 multiplying 11803918 relations
  239. Sat Jul 2 10:03:26 2016 multiply complete, coefficients have about 302.54 million bits
  240. Sat Jul 2 10:03:27 2016 initial square root is modulo 268267
  241. Sat Jul 2 10:11:16 2016 GCD is 1, no factor found
  242. Sat Jul 2 10:11:16 2016 reading relations for dependency 2
  243. Sat Jul 2 10:11:16 2016 read 3485498 cycles
  244. Sat Jul 2 10:11:22 2016 cycles contain 11804154 unique relations
  245. Sat Jul 2 10:12:30 2016 read 11804154 relations
  246. Sat Jul 2 10:13:11 2016 multiplying 11804154 relations
  247. Sat Jul 2 10:20:33 2016 multiply complete, coefficients have about 302.54 million bits
  248. Sat Jul 2 10:20:33 2016 initial square root is modulo 268267
  249. Sat Jul 2 10:28:23 2016 GCD is N, no factor found
  250. Sat Jul 2 10:28:23 2016 reading relations for dependency 3
  251. Sat Jul 2 10:28:23 2016 read 3486687 cycles
  252. Sat Jul 2 10:28:29 2016 cycles contain 11807996 unique relations
  253. Sat Jul 2 10:29:37 2016 read 11807996 relations
  254. Sat Jul 2 10:30:18 2016 multiplying 11807996 relations
  255. Sat Jul 2 10:37:39 2016 multiply complete, coefficients have about 302.64 million bits
  256. Sat Jul 2 10:37:40 2016 initial square root is modulo 269383
  257. Sat Jul 2 10:45:28 2016 sqrtTime: 3079
  258. Sat Jul 2 10:45:28 2016 prp53 factor: 13248328142795043170174909190831226683144195446795297
  259. Sat Jul 2 10:45:28 2016 prp154 factor: 4136472043981525507511920335210611319763579692235972881815902672059109188903591341315039565904541038192583446986830483135476373194724204013641462207538097
  260. Sat Jul 2 10:45:28 2016 elapsed time 31:55:13
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