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Dec 6th, 2015
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  1. Sun Aug 26 22:26:52 2012
  2. Sun Aug 26 22:26:52 2012
  3. Sun Aug 26 22:26:52 2012 Msieve v. 1.50 (SVN Official Release)
  4. Sun Aug 26 22:26:52 2012 random seeds: b4a10c80 23b4358b
  5. Sun Aug 26 22:26:52 2012 factoring 12762370725985604807107434670767723713928796007556753172640861304231201026091287138617073416190611458290498481437544432466606914208516783279342374977824274309913254744161 (170 digits)
  6. Sun Aug 26 22:26:53 2012 searching for 15-digit factors
  7. Sun Aug 26 22:26:53 2012 commencing number field sieve (170-digit input)
  8. Sun Aug 26 22:26:53 2012 R0: -277555756156289135105907917022705078125
  9. Sun Aug 26 22:26:53 2012 R1: 1
  10. Sun Aug 26 22:26:53 2012 A0: 25
  11. Sun Aug 26 22:26:53 2012 A1: 0
  12. Sun Aug 26 22:26:53 2012 A2: 0
  13. Sun Aug 26 22:26:53 2012 A3: -5
  14. Sun Aug 26 22:26:53 2012 A4: 0
  15. Sun Aug 26 22:26:53 2012 A5: 0
  16. Sun Aug 26 22:26:53 2012 A6: 1
  17. Sun Aug 26 22:26:53 2012 skew 1.00, size 2.531e-011, alpha 0.974, combined = 1.216e-012 rroots = 0
  18. Sun Aug 26 22:26:53 2012
  19. Sun Aug 26 22:26:53 2012 commencing relation filtering
  20. Sun Aug 26 22:26:53 2012 estimated available RAM is 8183.1 MB
  21. Sun Aug 26 22:26:53 2012 commencing duplicate removal, pass 1
  22. Sun Aug 26 22:28:08 2012 error -15 reading relation 11957564
  23. Sun Aug 26 22:28:50 2012 error -9 reading relation 18683460
  24. Sun Aug 26 22:28:53 2012 error -9 reading relation 18767034
  25. Sun Aug 26 22:32:41 2012 error -15 reading relation 28827566
  26. Sun Aug 26 22:33:21 2012 error -9 reading relation 29747751
  27. Sun Aug 26 22:33:28 2012 error -15 reading relation 29911811
  28. Sun Aug 26 22:33:40 2012 error -9 reading relation 30167117
  29. Sun Aug 26 22:34:33 2012 error -9 reading relation 31295459
  30. Sun Aug 26 22:40:56 2012 error -15 reading relation 49780171
  31. Sun Aug 26 22:43:36 2012 error -1 reading relation 53693488
  32. Sun Aug 26 22:43:40 2012 error -15 reading relation 54767309
  33. Sun Aug 26 22:43:45 2012 error -9 reading relation 55681817
  34. Sun Aug 26 22:43:49 2012 error -1 reading relation 56530089
  35. Sun Aug 26 22:43:52 2012 error -1 reading relation 57055996
  36. Sun Aug 26 22:43:58 2012 error -15 reading relation 58191757
  37. Sun Aug 26 22:43:58 2012 error -15 reading relation 58212669
  38. Sun Aug 26 22:43:58 2012 error -9 reading relation 58229563
  39. Sun Aug 26 22:44:05 2012 error -15 reading relation 59705951
  40. Sun Aug 26 22:44:12 2012 error -9 reading relation 60734306
  41. Sun Aug 26 22:44:21 2012 error -9 reading relation 62676814
  42. Sun Aug 26 22:44:28 2012 error -9 reading relation 64204217
  43. Sun Aug 26 22:44:28 2012 error -9 reading relation 64216903
  44. Sun Aug 26 22:44:44 2012 error -9 reading relation 67212132
  45. Sun Aug 26 22:44:58 2012 error -15 reading relation 69952450
  46. Sun Aug 26 22:44:59 2012 error -15 reading relation 70236421
  47. Sun Aug 26 22:45:03 2012 error -15 reading relation 71151925
  48. Sun Aug 26 22:45:07 2012 error -9 reading relation 71889993
  49. Sun Aug 26 22:45:13 2012 error -9 reading relation 73096405
  50. Sun Aug 26 22:45:29 2012 error -9 reading relation 75983013
  51. Sun Aug 26 22:45:56 2012 error -15 reading relation 81396566
  52. Sun Aug 26 22:46:04 2012 error -15 reading relation 82770628
  53. Sun Aug 26 22:46:06 2012 error -15 reading relation 83215808
  54. Sun Aug 26 22:46:15 2012 error -15 reading relation 85176947
  55. Sun Aug 26 22:46:20 2012 error -9 reading relation 86337589
  56. Sun Aug 26 22:46:34 2012 error -9 reading relation 89523956
  57. Sun Aug 26 22:46:34 2012 error -9 reading relation 89566511
  58. Sun Aug 26 22:46:34 2012 error -9 reading relation 89580590
  59. Sun Aug 26 22:46:34 2012 error -5 reading relation 89582331
  60. Sun Aug 26 22:46:48 2012 error -1 reading relation 92121563
  61. Sun Aug 26 22:47:02 2012 error -15 reading relation 94660156
  62. Sun Aug 26 22:47:04 2012 error -15 reading relation 95275830
  63. Sun Aug 26 22:47:07 2012 error -9 reading relation 95719454
  64. Sun Aug 26 22:47:07 2012 error -5 reading relation 95724593
  65. Sun Aug 26 22:47:10 2012 error -9 reading relation 96505979
  66. Sun Aug 26 22:47:12 2012 error -9 reading relation 96801324
  67. Sun Aug 26 22:47:21 2012 error -9 reading relation 98891987
  68. Sun Aug 26 22:47:31 2012 error -9 reading relation 100723728
  69. Sun Aug 26 22:47:37 2012 error -15 reading relation 102074760
  70. Sun Aug 26 22:47:54 2012 error -9 reading relation 105069599
  71. Sun Aug 26 22:48:05 2012 error -15 reading relation 106740355
  72. Sun Aug 26 22:48:24 2012 skipped 4 relations with b > 2^32
  73. Sun Aug 26 22:48:24 2012 found 18652841 hash collisions in 109736593 relations
  74. Sun Aug 26 22:48:44 2012 added 812684 free relations
  75. Sun Aug 26 22:48:44 2012 commencing duplicate removal, pass 2
  76. Sun Aug 26 22:50:37 2012 found 17622459 duplicates and 92926818 unique relations
  77. Sun Aug 26 22:50:37 2012 memory use: 660.8 MB
  78. Sun Aug 26 22:50:37 2012 reading ideals above 77922304
  79. Sun Aug 26 22:50:37 2012 commencing singleton removal, initial pass
  80. Sun Aug 26 23:00:45 2012 memory use: 1506.0 MB
  81. Sun Aug 26 23:00:45 2012 reading all ideals from disk
  82. Sun Aug 26 23:00:46 2012 memory use: 1567.3 MB
  83. Sun Aug 26 23:00:50 2012 commencing in-memory singleton removal
  84. Sun Aug 26 23:00:53 2012 begin with 92926818 relations and 80014962 unique ideals
  85. Sun Aug 26 23:01:34 2012 reduce to 55675882 relations and 38506264 ideals in 16 passes
  86. Sun Aug 26 23:01:34 2012 max relations containing the same ideal: 35
  87. Sun Aug 26 23:01:38 2012 reading ideals above 720000
  88. Sun Aug 26 23:01:39 2012 commencing singleton removal, initial pass
  89. Sun Aug 26 23:09:44 2012 memory use: 1378.0 MB
  90. Sun Aug 26 23:09:44 2012 reading all ideals from disk
  91. Sun Aug 26 23:09:45 2012 memory use: 2086.3 MB
  92. Sun Aug 26 23:09:51 2012 keeping 47330022 ideals with weight <= 200, target excess is 286993
  93. Sun Aug 26 23:09:57 2012 commencing in-memory singleton removal
  94. Sun Aug 26 23:10:03 2012 begin with 55675884 relations and 47330022 unique ideals
  95. Sun Aug 26 23:10:44 2012 reduce to 55667498 relations and 47321631 ideals in 8 passes
  96. Sun Aug 26 23:10:44 2012 max relations containing the same ideal: 200
  97. Sun Aug 26 23:11:09 2012 removing 6193718 relations and 5193718 ideals in 1000000 cliques
  98. Sun Aug 26 23:11:11 2012 commencing in-memory singleton removal
  99. Sun Aug 26 23:11:16 2012 begin with 49473780 relations and 47321631 unique ideals
  100. Sun Aug 26 23:11:52 2012 reduce to 49056434 relations and 41701447 ideals in 8 passes
  101. Sun Aug 26 23:11:52 2012 max relations containing the same ideal: 192
  102. Sun Aug 26 23:12:15 2012 removing 4652412 relations and 3652412 ideals in 1000000 cliques
  103. Sun Aug 26 23:12:16 2012 commencing in-memory singleton removal
  104. Sun Aug 26 23:12:20 2012 begin with 44404022 relations and 41701447 unique ideals
  105. Sun Aug 26 23:12:53 2012 reduce to 44120017 relations and 37759514 ideals in 8 passes
  106. Sun Aug 26 23:12:53 2012 max relations containing the same ideal: 182
  107. Sun Aug 26 23:13:13 2012 removing 4166362 relations and 3166362 ideals in 1000000 cliques
  108. Sun Aug 26 23:13:14 2012 commencing in-memory singleton removal
  109. Sun Aug 26 23:13:18 2012 begin with 39953655 relations and 37759514 unique ideals
  110. Sun Aug 26 23:13:47 2012 reduce to 39697142 relations and 34331477 ideals in 8 passes
  111. Sun Aug 26 23:13:47 2012 max relations containing the same ideal: 170
  112. Sun Aug 26 23:14:05 2012 removing 3896246 relations and 2896246 ideals in 1000000 cliques
  113. Sun Aug 26 23:14:06 2012 commencing in-memory singleton removal
  114. Sun Aug 26 23:14:09 2012 begin with 35800896 relations and 34331477 unique ideals
  115. Sun Aug 26 23:14:32 2012 reduce to 35544006 relations and 31172535 ideals in 7 passes
  116. Sun Aug 26 23:14:32 2012 max relations containing the same ideal: 157
  117. Sun Aug 26 23:14:48 2012 removing 3717103 relations and 2717103 ideals in 1000000 cliques
  118. Sun Aug 26 23:14:49 2012 commencing in-memory singleton removal
  119. Sun Aug 26 23:14:52 2012 begin with 31826903 relations and 31172535 unique ideals
  120. Sun Aug 26 23:15:12 2012 reduce to 31563785 relations and 28185959 ideals in 7 passes
  121. Sun Aug 26 23:15:12 2012 max relations containing the same ideal: 143
  122. Sun Aug 26 23:15:26 2012 removing 3612653 relations and 2612653 ideals in 1000000 cliques
  123. Sun Aug 26 23:15:28 2012 commencing in-memory singleton removal
  124. Sun Aug 26 23:15:30 2012 begin with 27951132 relations and 28185959 unique ideals
  125. Sun Aug 26 23:15:47 2012 reduce to 27674163 relations and 25288838 ideals in 7 passes
  126. Sun Aug 26 23:15:47 2012 max relations containing the same ideal: 132
  127. Sun Aug 26 23:16:00 2012 removing 3515127 relations and 2515127 ideals in 1000000 cliques
  128. Sun Aug 26 23:16:01 2012 commencing in-memory singleton removal
  129. Sun Aug 26 23:16:03 2012 begin with 24159036 relations and 25288838 unique ideals
  130. Sun Aug 26 23:16:20 2012 reduce to 23847241 relations and 22451927 ideals in 8 passes
  131. Sun Aug 26 23:16:20 2012 max relations containing the same ideal: 117
  132. Sun Aug 26 23:16:31 2012 removing 3457695 relations and 2457695 ideals in 1000000 cliques
  133. Sun Aug 26 23:16:32 2012 commencing in-memory singleton removal
  134. Sun Aug 26 23:16:34 2012 begin with 20389546 relations and 22451927 unique ideals
  135. Sun Aug 26 23:16:46 2012 reduce to 20052560 relations and 19645157 ideals in 7 passes
  136. Sun Aug 26 23:16:46 2012 max relations containing the same ideal: 105
  137. Sun Aug 26 23:16:55 2012 removing 422083 relations and 347592 ideals in 74491 cliques
  138. Sun Aug 26 23:16:56 2012 commencing in-memory singleton removal
  139. Sun Aug 26 23:16:58 2012 begin with 19630477 relations and 19645157 unique ideals
  140. Sun Aug 26 23:17:06 2012 reduce to 19624930 relations and 19292006 ideals in 5 passes
  141. Sun Aug 26 23:17:06 2012 max relations containing the same ideal: 105
  142. Sun Aug 26 23:17:10 2012 relations with 0 large ideals: 7228
  143. Sun Aug 26 23:17:10 2012 relations with 1 large ideals: 2072
  144. Sun Aug 26 23:17:10 2012 relations with 2 large ideals: 28133
  145. Sun Aug 26 23:17:10 2012 relations with 3 large ideals: 225865
  146. Sun Aug 26 23:17:10 2012 relations with 4 large ideals: 1011424
  147. Sun Aug 26 23:17:10 2012 relations with 5 large ideals: 2745344
  148. Sun Aug 26 23:17:10 2012 relations with 6 large ideals: 4709746
  149. Sun Aug 26 23:17:10 2012 relations with 7+ large ideals: 10895118
  150. Sun Aug 26 23:17:10 2012 commencing 2-way merge
  151. Sun Aug 26 23:17:23 2012 reduce to 13312558 relation sets and 12979634 unique ideals
  152. Sun Aug 26 23:17:23 2012 commencing full merge
  153. Sun Aug 26 23:20:39 2012 memory use: 1615.5 MB
  154. Sun Aug 26 23:20:40 2012 found 7175318 cycles, need 7129834
  155. Sun Aug 26 23:20:41 2012 weight of 7129834 cycles is about 499118229 (70.00/cycle)
  156. Sun Aug 26 23:20:41 2012 distribution of cycle lengths:
  157. Sun Aug 26 23:20:41 2012 1 relations: 813076
  158. Sun Aug 26 23:20:41 2012 2 relations: 899445
  159. Sun Aug 26 23:20:41 2012 3 relations: 916862
  160. Sun Aug 26 23:20:41 2012 4 relations: 852555
  161. Sun Aug 26 23:20:41 2012 5 relations: 779215
  162. Sun Aug 26 23:20:41 2012 6 relations: 668597
  163. Sun Aug 26 23:20:41 2012 7 relations: 557828
  164. Sun Aug 26 23:20:41 2012 8 relations: 445355
  165. Sun Aug 26 23:20:41 2012 9 relations: 345359
  166. Sun Aug 26 23:20:41 2012 10+ relations: 851542
  167. Sun Aug 26 23:20:41 2012 heaviest cycle: 20 relations
  168. Sun Aug 26 23:20:42 2012 commencing cycle optimization
  169. Sun Aug 26 23:20:50 2012 start with 37356791 relations
  170. Sun Aug 26 23:21:46 2012 pruned 1021395 relations
  171. Sun Aug 26 23:21:46 2012 memory use: 1201.0 MB
  172. Sun Aug 26 23:21:46 2012 distribution of cycle lengths:
  173. Sun Aug 26 23:21:46 2012 1 relations: 813076
  174. Sun Aug 26 23:21:46 2012 2 relations: 918300
  175. Sun Aug 26 23:21:46 2012 3 relations: 950193
  176. Sun Aug 26 23:21:46 2012 4 relations: 876279
  177. Sun Aug 26 23:21:46 2012 5 relations: 801950
  178. Sun Aug 26 23:21:46 2012 6 relations: 680780
  179. Sun Aug 26 23:21:46 2012 7 relations: 563521
  180. Sun Aug 26 23:21:46 2012 8 relations: 441798
  181. Sun Aug 26 23:21:46 2012 9 relations: 335826
  182. Sun Aug 26 23:21:46 2012 10+ relations: 748111
  183. Sun Aug 26 23:21:46 2012 heaviest cycle: 19 relations
  184. Sun Aug 26 23:21:53 2012 RelProcTime: 3300
  185. Sun Aug 26 23:21:53 2012
  186. Sun Aug 26 23:21:53 2012 commencing linear algebra
  187. Sun Aug 26 23:21:54 2012 read 7129834 cycles
  188. Sun Aug 26 23:22:04 2012 cycles contain 19458157 unique relations
  189. Sun Aug 26 23:25:05 2012 read 19458157 relations
  190. Sun Aug 26 23:25:32 2012 using 20 quadratic characters above 1073741174
  191. Sun Aug 26 23:26:57 2012 building initial matrix
  192. Sun Aug 26 23:30:16 2012 memory use: 2538.4 MB
  193. Sun Aug 26 23:30:27 2012 read 7129834 cycles
  194. Sun Aug 26 23:30:29 2012 matrix is 7129657 x 7129834 (2112.4 MB) with weight 619383788 (86.87/col)
  195. Sun Aug 26 23:30:29 2012 sparse part has weight 482446345 (67.67/col)
  196. Sun Aug 26 23:31:31 2012 filtering completed in 2 passes
  197. Sun Aug 26 23:31:33 2012 matrix is 7128748 x 7128925 (2112.3 MB) with weight 619359894 (86.88/col)
  198. Sun Aug 26 23:31:33 2012 sparse part has weight 482439758 (67.67/col)
  199. Sun Aug 26 23:32:02 2012 matrix starts at (0, 0)
  200. Sun Aug 26 23:32:04 2012 matrix is 7128748 x 7128925 (2112.3 MB) with weight 619359894 (86.88/col)
  201. Sun Aug 26 23:32:04 2012 sparse part has weight 482439758 (67.67/col)
  202. Sun Aug 26 23:32:04 2012 saving the first 48 matrix rows for later
  203. Sun Aug 26 23:32:06 2012 matrix includes 64 packed rows
  204. Sun Aug 26 23:32:07 2012 matrix is 7128700 x 7128925 (2028.7 MB) with weight 495249686 (69.47/col)
  205. Sun Aug 26 23:32:07 2012 sparse part has weight 460526309 (64.60/col)
  206. Sun Aug 26 23:32:07 2012 using block size 65536 for processor cache size 8192 kB
  207. Sun Aug 26 23:32:33 2012 commencing Lanczos iteration (4 threads)
  208. Sun Aug 26 23:32:33 2012 memory use: 1810.1 MB
  209. Sun Aug 26 23:33:30 2012 linear algebra at 0.0%, ETA 71h38m
  210. Sun Aug 26 23:33:49 2012 checkpointing every 100000 dimensions
  211. Mon Aug 27 11:25:03 2012
  212. Mon Aug 27 11:25:03 2012
  213. Mon Aug 27 11:25:03 2012 Msieve v. 1.50 (SVN Official Release)
  214. Mon Aug 27 11:25:03 2012 random seeds: 6dc74ebc 672648f0
  215. Mon Aug 27 11:25:03 2012 factoring 12762370725985604807107434670767723713928796007556753172640861304231201026091287138617073416190611458290498481437544432466606914208516783279342374977824274309913254744161 (170 digits)
  216. Mon Aug 27 11:25:04 2012 searching for 15-digit factors
  217. Mon Aug 27 11:25:04 2012 commencing number field sieve (170-digit input)
  218. Mon Aug 27 11:25:04 2012 R0: -277555756156289135105907917022705078125
  219. Mon Aug 27 11:25:04 2012 R1: 1
  220. Mon Aug 27 11:25:04 2012 A0: 25
  221. Mon Aug 27 11:25:04 2012 A1: 0
  222. Mon Aug 27 11:25:04 2012 A2: 0
  223. Mon Aug 27 11:25:04 2012 A3: -5
  224. Mon Aug 27 11:25:04 2012 A4: 0
  225. Mon Aug 27 11:25:04 2012 A5: 0
  226. Mon Aug 27 11:25:04 2012 A6: 1
  227. Mon Aug 27 11:25:04 2012 skew 1.00, size 2.531e-011, alpha 0.974, combined = 1.216e-012 rroots = 0
  228. Mon Aug 27 11:25:04 2012
  229. Mon Aug 27 11:25:04 2012 commencing linear algebra
  230. Mon Aug 27 11:26:04 2012
  231. Mon Aug 27 11:26:04 2012
  232. Mon Aug 27 11:26:04 2012 Msieve v. 1.50 (SVN Official Release)
  233. Mon Aug 27 11:26:04 2012 random seeds: 8bbec170 d99b2fa7
  234. Mon Aug 27 11:26:04 2012 factoring 12762370725985604807107434670767723713928796007556753172640861304231201026091287138617073416190611458290498481437544432466606914208516783279342374977824274309913254744161 (170 digits)
  235. Mon Aug 27 11:26:05 2012 searching for 15-digit factors
  236. Mon Aug 27 11:26:05 2012 commencing number field sieve (170-digit input)
  237. Mon Aug 27 11:26:05 2012 R0: -277555756156289135105907917022705078125
  238. Mon Aug 27 11:26:05 2012 R1: 1
  239. Mon Aug 27 11:26:05 2012 A0: 25
  240. Mon Aug 27 11:26:05 2012 A1: 0
  241. Mon Aug 27 11:26:05 2012 A2: 0
  242. Mon Aug 27 11:26:05 2012 A3: -5
  243. Mon Aug 27 11:26:05 2012 A4: 0
  244. Mon Aug 27 11:26:05 2012 A5: 0
  245. Mon Aug 27 11:26:05 2012 A6: 1
  246. Mon Aug 27 11:26:05 2012 skew 1.00, size 2.531e-011, alpha 0.974, combined = 1.216e-012 rroots = 0
  247. Mon Aug 27 11:26:05 2012
  248. Mon Aug 27 11:26:05 2012 commencing linear algebra
  249. Mon Aug 27 11:26:21 2012 matrix starts at (0, 0)
  250. Mon Aug 27 11:26:23 2012 matrix is 7128748 x 7128925 (2112.3 MB) with weight 619359894 (86.88/col)
  251. Mon Aug 27 11:26:23 2012 sparse part has weight 482439758 (67.67/col)
  252. Mon Aug 27 11:26:23 2012 saving the first 48 matrix rows for later
  253. Mon Aug 27 11:26:25 2012 matrix includes 64 packed rows
  254. Mon Aug 27 11:26:26 2012 matrix is 7128700 x 7128925 (2028.7 MB) with weight 495249686 (69.47/col)
  255. Mon Aug 27 11:26:26 2012 sparse part has weight 460526309 (64.60/col)
  256. Mon Aug 27 11:26:26 2012 using block size 65536 for processor cache size 8192 kB
  257. Mon Aug 27 11:26:51 2012 commencing Lanczos iteration (4 threads)
  258. Mon Aug 27 11:26:51 2012 memory use: 1810.1 MB
  259. Mon Aug 27 11:26:54 2012 restarting at iteration 14232 (dim = 900028)
  260. Mon Aug 27 11:27:50 2012 linear algebra at 12.6%, ETA 63h53m
  261. Mon Aug 27 11:28:09 2012 checkpointing every 100000 dimensions
  262. Thu Aug 30 02:19:31 2012 lanczos halted after 112733 iterations (dim = 7128694)
  263. Thu Aug 30 02:19:44 2012 recovered 37 nontrivial dependencies
  264. Thu Aug 30 02:19:45 2012 BLanczosTime: 226420
  265. Thu Aug 30 02:19:45 2012
  266. Thu Aug 30 02:19:45 2012 commencing square root phase
  267. Thu Aug 30 02:19:45 2012 reading relations for dependency 1
  268. Thu Aug 30 02:19:47 2012 read 3563942 cycles
  269. Thu Aug 30 02:19:52 2012 cycles contain 9725336 unique relations
  270. Thu Aug 30 02:22:34 2012 read 9725336 relations
  271. Thu Aug 30 02:23:23 2012 multiplying 9725336 relations
  272. Thu Aug 30 02:31:03 2012 multiply complete, coefficients have about 242.08 million bits
  273. Thu Aug 30 02:31:05 2012 initial square root is modulo 487011893
  274. Thu Aug 30 02:40:19 2012 sqrtTime: 1234
  275. Thu Aug 30 02:40:19 2012 prp82 factor: 3328982736891469475110718092947151079706495362468067039231558357955631710833214561
  276. Thu Aug 30 02:40:19 2012 prp88 factor: 3833714901718842976885897410593970286995336444230987000698009086269049958355429343513601
  277. Thu Aug 30 02:40:19 2012 elapsed time 63:14:15
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