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CarlosPinho

3499_61_minus1

CarlosPinho
May 27th, 2016
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  1. Wed Oct 24 16:03:55 2012
  2. Wed Oct 24 16:03:55 2012
  3. Wed Oct 24 16:03:55 2012 Msieve v. 1.50 (SVN Official Release)
  4. Wed Oct 24 16:03:55 2012 random seeds: e53d3970 80d10a51
  5. Wed Oct 24 16:03:55 2012 factoring 433272062303808360132004938071548828348481540748300376346664824293288185041058374368305258623250408905867059573384819190030174617585648895509765824748521936095218087254605030722668900939535351075611007456649895001 (213 digits)
  6. Wed Oct 24 16:03:57 2012 searching for 15-digit factors
  7. Wed Oct 24 16:03:57 2012 commencing number field sieve (213-digit input)
  8. Wed Oct 24 16:03:57 2012 R0: -275067591537083872207632980551215001
  9. Wed Oct 24 16:03:57 2012 R1: 1
  10. Wed Oct 24 16:03:57 2012 A0: -1
  11. Wed Oct 24 16:03:57 2012 A1: 0
  12. Wed Oct 24 16:03:57 2012 A2: 0
  13. Wed Oct 24 16:03:57 2012 A3: 0
  14. Wed Oct 24 16:03:57 2012 A4: 0
  15. Wed Oct 24 16:03:57 2012 A5: 0
  16. Wed Oct 24 16:03:57 2012 A6: 3499
  17. Wed Oct 24 16:03:57 2012 skew 1.00, size 1.012e-010, alpha -0.064, combined = 3.166e-012 rroots = 2
  18. Wed Oct 24 16:03:57 2012
  19. Wed Oct 24 16:03:57 2012 commencing relation filtering
  20. Wed Oct 24 16:03:57 2012 estimated available RAM is 12286.5 MB
  21. Wed Oct 24 16:03:57 2012 commencing duplicate removal, pass 1
  22. Wed Oct 24 16:08:52 2012 error -15 reading relation 48417666
  23. Wed Oct 24 16:08:53 2012 error -15 reading relation 48470990
  24. Wed Oct 24 16:09:01 2012 error -15 reading relation 49813686
  25. Wed Oct 24 16:09:23 2012 error -9 reading relation 54188179
  26. Wed Oct 24 16:09:28 2012 error -9 reading relation 55307871
  27. Wed Oct 24 16:09:28 2012 error -9 reading relation 55454352
  28. Wed Oct 24 16:10:56 2012 skipped 15 relations with b > 2^32
  29. Wed Oct 24 16:10:56 2012 found 11755211 hash collisions in 64995927 relations
  30. Wed Oct 24 16:11:16 2012 added 1 free relations
  31. Wed Oct 24 16:11:16 2012 commencing duplicate removal, pass 2
  32. Wed Oct 24 16:11:44 2012 found 10841657 duplicates and 54154271 unique relations
  33. Wed Oct 24 16:11:44 2012 memory use: 330.4 MB
  34. Wed Oct 24 16:11:44 2012 reading ideals above 44892160
  35. Wed Oct 24 16:11:44 2012 commencing singleton removal, initial pass
  36. Wed Oct 24 16:18:19 2012 memory use: 1378.0 MB
  37. Wed Oct 24 16:18:19 2012 reading all ideals from disk
  38. Wed Oct 24 16:18:19 2012 memory use: 911.0 MB
  39. Wed Oct 24 16:18:21 2012 commencing in-memory singleton removal
  40. Wed Oct 24 16:18:23 2012 begin with 54154271 relations and 42783843 unique ideals
  41. Wed Oct 24 16:18:40 2012 reduce to 37353740 relations and 24419019 ideals in 12 passes
  42. Wed Oct 24 16:18:40 2012 max relations containing the same ideal: 39
  43. Wed Oct 24 16:18:43 2012 reading ideals above 720000
  44. Wed Oct 24 16:18:43 2012 commencing singleton removal, initial pass
  45. Wed Oct 24 16:24:06 2012 memory use: 753.0 MB
  46. Wed Oct 24 16:24:06 2012 reading all ideals from disk
  47. Wed Oct 24 16:24:07 2012 memory use: 1333.8 MB
  48. Wed Oct 24 16:24:10 2012 keeping 29641433 ideals with weight <= 200, target excess is 198194
  49. Wed Oct 24 16:24:13 2012 commencing in-memory singleton removal
  50. Wed Oct 24 16:24:15 2012 begin with 37353759 relations and 29641433 unique ideals
  51. Wed Oct 24 16:24:32 2012 reduce to 37351457 relations and 29639061 ideals in 6 passes
  52. Wed Oct 24 16:24:32 2012 max relations containing the same ideal: 200
  53. Wed Oct 24 16:24:46 2012 removing 4746566 relations and 3746566 ideals in 1000000 cliques
  54. Wed Oct 24 16:24:47 2012 commencing in-memory singleton removal
  55. Wed Oct 24 16:24:50 2012 begin with 32604891 relations and 29639061 unique ideals
  56. Wed Oct 24 16:25:07 2012 reduce to 32206958 relations and 25481816 ideals in 7 passes
  57. Wed Oct 24 16:25:07 2012 max relations containing the same ideal: 188
  58. Wed Oct 24 16:25:18 2012 removing 3635610 relations and 2635610 ideals in 1000000 cliques
  59. Wed Oct 24 16:25:20 2012 commencing in-memory singleton removal
  60. Wed Oct 24 16:25:22 2012 begin with 28571348 relations and 25481816 unique ideals
  61. Wed Oct 24 16:25:37 2012 reduce to 28308170 relations and 22575138 ideals in 7 passes
  62. Wed Oct 24 16:25:37 2012 max relations containing the same ideal: 175
  63. Wed Oct 24 16:25:47 2012 removing 3284349 relations and 2284349 ideals in 1000000 cliques
  64. Wed Oct 24 16:25:48 2012 commencing in-memory singleton removal
  65. Wed Oct 24 16:25:49 2012 begin with 25023821 relations and 22575138 unique ideals
  66. Wed Oct 24 16:26:00 2012 reduce to 24785885 relations and 20045355 ideals in 6 passes
  67. Wed Oct 24 16:26:00 2012 max relations containing the same ideal: 160
  68. Wed Oct 24 16:26:09 2012 removing 3121365 relations and 2121365 ideals in 1000000 cliques
  69. Wed Oct 24 16:26:10 2012 commencing in-memory singleton removal
  70. Wed Oct 24 16:26:12 2012 begin with 21664520 relations and 20045355 unique ideals
  71. Wed Oct 24 16:26:22 2012 reduce to 21434084 relations and 17685691 ideals in 7 passes
  72. Wed Oct 24 16:26:22 2012 max relations containing the same ideal: 145
  73. Wed Oct 24 16:26:30 2012 removing 2962694 relations and 1962694 ideals in 1000000 cliques
  74. Wed Oct 24 16:26:31 2012 commencing in-memory singleton removal
  75. Wed Oct 24 16:26:32 2012 begin with 18471390 relations and 17685691 unique ideals
  76. Wed Oct 24 16:26:41 2012 reduce to 18215729 relations and 15457104 ideals in 7 passes
  77. Wed Oct 24 16:26:41 2012 max relations containing the same ideal: 129
  78. Wed Oct 24 16:26:48 2012 removing 2864873 relations and 1864873 ideals in 1000000 cliques
  79. Wed Oct 24 16:26:48 2012 commencing in-memory singleton removal
  80. Wed Oct 24 16:26:49 2012 begin with 15350856 relations and 15457104 unique ideals
  81. Wed Oct 24 16:26:57 2012 reduce to 15053345 relations and 13280605 ideals in 7 passes
  82. Wed Oct 24 16:26:57 2012 max relations containing the same ideal: 117
  83. Wed Oct 24 16:27:02 2012 removing 2820149 relations and 1820149 ideals in 1000000 cliques
  84. Wed Oct 24 16:27:03 2012 commencing in-memory singleton removal
  85. Wed Oct 24 16:27:04 2012 begin with 12233196 relations and 13280605 unique ideals
  86. Wed Oct 24 16:27:09 2012 reduce to 11896717 relations and 11104147 ideals in 7 passes
  87. Wed Oct 24 16:27:09 2012 max relations containing the same ideal: 100
  88. Wed Oct 24 16:27:14 2012 removing 1782623 relations and 1219959 ideals in 562664 cliques
  89. Wed Oct 24 16:27:14 2012 commencing in-memory singleton removal
  90. Wed Oct 24 16:27:15 2012 begin with 10114094 relations and 11104147 unique ideals
  91. Wed Oct 24 16:27:19 2012 reduce to 9948705 relations and 9711867 ideals in 7 passes
  92. Wed Oct 24 16:27:19 2012 max relations containing the same ideal: 84
  93. Wed Oct 24 16:27:25 2012 relations with 0 large ideals: 7196
  94. Wed Oct 24 16:27:25 2012 relations with 1 large ideals: 2495
  95. Wed Oct 24 16:27:25 2012 relations with 2 large ideals: 21951
  96. Wed Oct 24 16:27:25 2012 relations with 3 large ideals: 158725
  97. Wed Oct 24 16:27:25 2012 relations with 4 large ideals: 643183
  98. Wed Oct 24 16:27:25 2012 relations with 5 large ideals: 1588999
  99. Wed Oct 24 16:27:25 2012 relations with 6 large ideals: 2482973
  100. Wed Oct 24 16:27:25 2012 relations with 7+ large ideals: 5043183
  101. Wed Oct 24 16:27:25 2012 commencing 2-way merge
  102. Wed Oct 24 16:27:30 2012 reduce to 7130773 relation sets and 6893935 unique ideals
  103. Wed Oct 24 16:27:30 2012 commencing full merge
  104. Wed Oct 24 16:28:58 2012 memory use: 864.0 MB
  105. Wed Oct 24 16:28:58 2012 found 3792023 cycles, need 3754135
  106. Wed Oct 24 16:28:59 2012 weight of 3754135 cycles is about 262794837 (70.00/cycle)
  107. Wed Oct 24 16:28:59 2012 distribution of cycle lengths:
  108. Wed Oct 24 16:28:59 2012 1 relations: 350503
  109. Wed Oct 24 16:28:59 2012 2 relations: 448395
  110. Wed Oct 24 16:28:59 2012 3 relations: 496172
  111. Wed Oct 24 16:28:59 2012 4 relations: 477438
  112. Wed Oct 24 16:28:59 2012 5 relations: 436257
  113. Wed Oct 24 16:28:59 2012 6 relations: 371446
  114. Wed Oct 24 16:28:59 2012 7 relations: 305915
  115. Wed Oct 24 16:28:59 2012 8 relations: 241855
  116. Wed Oct 24 16:28:59 2012 9 relations: 184531
  117. Wed Oct 24 16:28:59 2012 10+ relations: 441623
  118. Wed Oct 24 16:28:59 2012 heaviest cycle: 19 relations
  119. Wed Oct 24 16:28:59 2012 commencing cycle optimization
  120. Wed Oct 24 16:29:02 2012 start with 19984013 relations
  121. Wed Oct 24 16:29:28 2012 pruned 640096 relations
  122. Wed Oct 24 16:29:28 2012 memory use: 621.5 MB
  123. Wed Oct 24 16:29:28 2012 distribution of cycle lengths:
  124. Wed Oct 24 16:29:28 2012 1 relations: 350503
  125. Wed Oct 24 16:29:28 2012 2 relations: 458468
  126. Wed Oct 24 16:29:28 2012 3 relations: 517027
  127. Wed Oct 24 16:29:28 2012 4 relations: 493892
  128. Wed Oct 24 16:29:28 2012 5 relations: 453023
  129. Wed Oct 24 16:29:28 2012 6 relations: 380357
  130. Wed Oct 24 16:29:28 2012 7 relations: 310262
  131. Wed Oct 24 16:29:28 2012 8 relations: 238212
  132. Wed Oct 24 16:29:28 2012 9 relations: 178309
  133. Wed Oct 24 16:29:28 2012 10+ relations: 374082
  134. Wed Oct 24 16:29:28 2012 heaviest cycle: 19 relations
  135. Wed Oct 24 16:29:31 2012 RelProcTime: 1534
  136. Wed Oct 24 16:29:31 2012
  137. Wed Oct 24 16:29:31 2012 commencing linear algebra
  138. Wed Oct 24 16:29:32 2012 read 3754135 cycles
  139. Wed Oct 24 16:29:36 2012 cycles contain 9803380 unique relations
  140. Wed Oct 24 16:30:49 2012 read 9803380 relations
  141. Wed Oct 24 16:31:00 2012 using 20 quadratic characters above 536870718
  142. Wed Oct 24 16:31:42 2012 building initial matrix
  143. Wed Oct 24 16:33:26 2012 memory use: 1326.3 MB
  144. Wed Oct 24 16:33:29 2012 read 3754135 cycles
  145. Wed Oct 24 16:33:30 2012 matrix is 3753957 x 3754135 (1118.1 MB) with weight 334361252 (89.06/col)
  146. Wed Oct 24 16:33:30 2012 sparse part has weight 251807523 (67.07/col)
  147. Wed Oct 24 16:33:58 2012 filtering completed in 2 passes
  148. Wed Oct 24 16:33:59 2012 matrix is 3753345 x 3753523 (1118.1 MB) with weight 334342709 (89.07/col)
  149. Wed Oct 24 16:33:59 2012 sparse part has weight 251801913 (67.08/col)
  150. Wed Oct 24 16:34:08 2012 matrix starts at (0, 0)
  151. Wed Oct 24 16:34:09 2012 matrix is 3753345 x 3753523 (1118.1 MB) with weight 334342709 (89.07/col)
  152. Wed Oct 24 16:34:09 2012 sparse part has weight 251801913 (67.08/col)
  153. Wed Oct 24 16:34:09 2012 saving the first 48 matrix rows for later
  154. Wed Oct 24 16:34:10 2012 matrix includes 64 packed rows
  155. Wed Oct 24 16:34:11 2012 matrix is 3753297 x 3753523 (1067.2 MB) with weight 264612396 (70.50/col)
  156. Wed Oct 24 16:34:11 2012 sparse part has weight 242226715 (64.53/col)
  157. Wed Oct 24 16:34:11 2012 using block size 65536 for processor cache size 12288 kB
  158. Wed Oct 24 16:34:24 2012 commencing Lanczos iteration (12 threads)
  159. Wed Oct 24 16:34:24 2012 memory use: 1171.6 MB
  160. Wed Oct 24 16:34:45 2012 linear algebra at 0.0%, ETA 13h46m
  161. Wed Oct 24 16:34:52 2012 checkpointing every 270000 dimensions
  162. Wed Oct 24 18:19:26 2012
  163. Wed Oct 24 18:19:26 2012
  164. Wed Oct 24 18:19:26 2012 Msieve v. 1.50 (SVN Official Release)
  165. Wed Oct 24 18:19:26 2012 random seeds: 474625c8 6196d3e0
  166. Wed Oct 24 18:19:26 2012 factoring 433272062303808360132004938071548828348481540748300376346664824293288185041058374368305258623250408905867059573384819190030174617585648895509765824748521936095218087254605030722668900939535351075611007456649895001 (213 digits)
  167. Wed Oct 24 18:19:27 2012 searching for 15-digit factors
  168. Wed Oct 24 18:19:27 2012 commencing number field sieve (213-digit input)
  169. Wed Oct 24 18:19:27 2012 R0: -275067591537083872207632980551215001
  170. Wed Oct 24 18:19:27 2012 R1: 1
  171. Wed Oct 24 18:19:27 2012 A0: -1
  172. Wed Oct 24 18:19:27 2012 A1: 0
  173. Wed Oct 24 18:19:27 2012 A2: 0
  174. Wed Oct 24 18:19:27 2012 A3: 0
  175. Wed Oct 24 18:19:27 2012 A4: 0
  176. Wed Oct 24 18:19:27 2012 A5: 0
  177. Wed Oct 24 18:19:27 2012 A6: 3499
  178. Wed Oct 24 18:19:27 2012 skew 1.00, size 1.012e-010, alpha -0.064, combined = 3.166e-012 rroots = 2
  179. Wed Oct 24 18:19:27 2012
  180. Wed Oct 24 18:19:27 2012 commencing linear algebra
  181. Wed Oct 24 18:19:29 2012 matrix starts at (0, 0)
  182. Wed Oct 24 18:19:30 2012 matrix is 3753345 x 3753523 (1118.1 MB) with weight 334342709 (89.07/col)
  183. Wed Oct 24 18:19:30 2012 sparse part has weight 251801913 (67.08/col)
  184. Wed Oct 24 18:19:30 2012 saving the first 48 matrix rows for later
  185. Wed Oct 24 18:19:31 2012 matrix includes 64 packed rows
  186. Wed Oct 24 18:19:32 2012 matrix is 3753297 x 3753523 (1067.2 MB) with weight 264612396 (70.50/col)
  187. Wed Oct 24 18:19:32 2012 sparse part has weight 242226715 (64.53/col)
  188. Wed Oct 24 18:19:32 2012 using block size 65536 for processor cache size 12288 kB
  189. Wed Oct 24 18:19:45 2012 commencing Lanczos iteration (6 threads)
  190. Wed Oct 24 18:19:45 2012 memory use: 999.8 MB
  191. Wed Oct 24 18:19:45 2012 restarting at iteration 4270 (dim = 270052)
  192. Wed Oct 24 18:20:02 2012 linear algebra at 7.2%, ETA 10h48m
  193. Wed Oct 24 18:20:07 2012 checkpointing every 330000 dimensions
  194. Thu Oct 25 08:28:22 2012
  195. Thu Oct 25 08:28:22 2012
  196. Thu Oct 25 08:28:22 2012 Msieve v. 1.50 (SVN Official Release)
  197. Thu Oct 25 08:28:22 2012 random seeds: 27c75a74 b7a5b3e3
  198. Thu Oct 25 08:28:22 2012 factoring 433272062303808360132004938071548828348481540748300376346664824293288185041058374368305258623250408905867059573384819190030174617585648895509765824748521936095218087254605030722668900939535351075611007456649895001 (213 digits)
  199. Thu Oct 25 08:28:24 2012 searching for 15-digit factors
  200. Thu Oct 25 08:28:24 2012 commencing number field sieve (213-digit input)
  201. Thu Oct 25 08:28:24 2012 R0: -275067591537083872207632980551215001
  202. Thu Oct 25 08:28:24 2012 R1: 1
  203. Thu Oct 25 08:28:24 2012 A0: -1
  204. Thu Oct 25 08:28:24 2012 A1: 0
  205. Thu Oct 25 08:28:24 2012 A2: 0
  206. Thu Oct 25 08:28:24 2012 A3: 0
  207. Thu Oct 25 08:28:24 2012 A4: 0
  208. Thu Oct 25 08:28:24 2012 A5: 0
  209. Thu Oct 25 08:28:24 2012 A6: 3499
  210. Thu Oct 25 08:28:24 2012 skew 1.00, size 1.012e-010, alpha -0.064, combined = 3.166e-012 rroots = 2
  211. Thu Oct 25 08:28:24 2012
  212. Thu Oct 25 08:28:24 2012 commencing linear algebra
  213. Thu Oct 25 08:29:02 2012 matrix starts at (0, 0)
  214. Thu Oct 25 08:29:03 2012 matrix is 3753345 x 3753523 (1118.1 MB) with weight 334342709 (89.07/col)
  215. Thu Oct 25 08:29:03 2012 sparse part has weight 251801913 (67.08/col)
  216. Thu Oct 25 08:29:03 2012 saving the first 48 matrix rows for later
  217. Thu Oct 25 08:29:04 2012 matrix includes 64 packed rows
  218. Thu Oct 25 08:29:04 2012 matrix is 3753297 x 3753523 (1067.2 MB) with weight 264612396 (70.50/col)
  219. Thu Oct 25 08:29:04 2012 sparse part has weight 242226715 (64.53/col)
  220. Thu Oct 25 08:29:04 2012 using block size 65536 for processor cache size 12288 kB
  221. Thu Oct 25 08:29:18 2012 commencing Lanczos iteration (6 threads)
  222. Thu Oct 25 08:29:18 2012 memory use: 999.8 MB
  223. Thu Oct 25 08:29:19 2012 restarting at iteration 10438 (dim = 660000)
  224. Thu Oct 25 08:29:36 2012 linear algebra at 17.6%, ETA 9h37m
  225. Thu Oct 25 08:29:42 2012 checkpointing every 320000 dimensions
  226. Thu Oct 25 18:27:07 2012 lanczos halted after 59358 iterations (dim = 3753295)
  227. Thu Oct 25 18:27:12 2012 recovered 35 nontrivial dependencies
  228. Thu Oct 25 18:27:12 2012 BLanczosTime: 35928
  229. Thu Oct 25 18:27:12 2012
  230. Thu Oct 25 18:27:12 2012 commencing square root phase
  231. Thu Oct 25 18:27:12 2012 reading relations for dependency 1
  232. Thu Oct 25 18:27:13 2012 read 1877891 cycles
  233. Thu Oct 25 18:27:15 2012 cycles contain 4900904 unique relations
  234. Thu Oct 25 18:28:14 2012 read 4900904 relations
  235. Thu Oct 25 18:28:38 2012 multiplying 4900904 relations
  236. Thu Oct 25 18:33:55 2012 multiply complete, coefficients have about 170.30 million bits
  237. Thu Oct 25 18:33:56 2012 initial square root is modulo 1293433
  238. Thu Oct 25 18:39:47 2012 sqrtTime: 755
  239. Thu Oct 25 18:39:47 2012 prp72 factor: 400014168618622982482420169999672460823839157854389161902387722639949611
  240. Thu Oct 25 18:39:47 2012 prp142 factor: 1083141789202206347962133181330733758517387121948047053846313439848021014405335400823421982134686893048047405602694405883875728418243922276491
  241. Thu Oct 25 18:39:47 2012 elapsed time 10:11:25
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