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CarlosPinho

3511_71_minus1

CarlosPinho
Jun 10th, 2016
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  1. Wed Jun 1 09:47:14 2016 Msieve v. 1.53 (SVN Unversioned directory)
  2. Wed Jun 1 09:47:14 2016 random seeds: f99bb3fe 86d79973
  3. Wed Jun 1 09:47:14 2016 factoring 1074943324649306785130619507441995926111533268597079757581211562168309083346616024455993388208307797332856232671308735990647252820576909964608517189229656362013139161135515547962346096480585604316887622718379639 (211 digits)
  4. Wed Jun 1 09:47:15 2016 searching for 15-digit factors
  5. Wed Jun 1 09:47:16 2016 commencing number field sieve (211-digit input)
  6. Wed Jun 1 09:47:16 2016 R0: -3508891614524628909358461329370313502538721
  7. Wed Jun 1 09:47:16 2016 R1: 1
  8. Wed Jun 1 09:47:16 2016 A0: -3511
  9. Wed Jun 1 09:47:16 2016 A1: 0
  10. Wed Jun 1 09:47:16 2016 A2: 0
  11. Wed Jun 1 09:47:16 2016 A3: 0
  12. Wed Jun 1 09:47:16 2016 A4: 0
  13. Wed Jun 1 09:47:16 2016 A5: 0
  14. Wed Jun 1 09:47:16 2016 A6: 1
  15. Wed Jun 1 09:47:16 2016 skew 1.00, size 1.474e-12, alpha -0.835, combined = 1.343e-13 rroots = 2
  16. Wed Jun 1 09:47:16 2016
  17. Wed Jun 1 09:47:16 2016 commencing relation filtering
  18. Wed Jun 1 09:47:16 2016 setting target matrix density to 112.0
  19. Wed Jun 1 09:47:16 2016 estimated available RAM is 16039.4 MB
  20. Wed Jun 1 09:47:16 2016 commencing duplicate removal, pass 1
  21. Wed Jun 1 09:48:53 2016 error -15 reading relation 13337622
  22. Wed Jun 1 09:57:14 2016 error -9 reading relation 84901029
  23. Wed Jun 1 09:58:52 2016 error -9 reading relation 98346244
  24. Wed Jun 1 09:59:18 2016 error -1 reading relation 101675904
  25. Wed Jun 1 10:00:35 2016 error -5 reading relation 112125697
  26. Wed Jun 1 10:00:38 2016 error -1 reading relation 112460726
  27. Wed Jun 1 10:00:51 2016 error -15 reading relation 113800247
  28. Wed Jun 1 10:01:07 2016 error -9 reading relation 115513537
  29. Wed Jun 1 10:02:29 2016 error -15 reading relation 126280389
  30. Wed Jun 1 10:02:58 2016 error -1 reading relation 129846083
  31. Wed Jun 1 10:03:29 2016 error -1 reading relation 133581440
  32. Wed Jun 1 10:05:21 2016 error -15 reading relation 148788551
  33. Wed Jun 1 10:06:40 2016 error -9 reading relation 159309163
  34. Wed Jun 1 10:09:30 2016 error -1 reading relation 182914133
  35. Wed Jun 1 10:09:35 2016 error -9 reading relation 183334318
  36. Wed Jun 1 10:09:48 2016 error -15 reading relation 184505890
  37. Wed Jun 1 10:09:56 2016 error -5 reading relation 185310968
  38. Wed Jun 1 10:10:15 2016 error -9 reading relation 186878984
  39. Wed Jun 1 10:12:01 2016 error -1 reading relation 200212583
  40. Wed Jun 1 10:12:31 2016 error -9 reading relation 203623941
  41. Wed Jun 1 10:12:46 2016 error -9 reading relation 204868006
  42. Wed Jun 1 10:12:52 2016 error -9 reading relation 205382413
  43. Wed Jun 1 10:12:55 2016 error -9 reading relation 205738014
  44. Wed Jun 1 10:13:12 2016 error -1 reading relation 207159597
  45. Wed Jun 1 10:13:14 2016 error -1 reading relation 207277977
  46. Wed Jun 1 10:13:30 2016 error -9 reading relation 208517256
  47. Wed Jun 1 10:13:30 2016 error -15 reading relation 208520661
  48. Wed Jun 1 10:13:30 2016 error -9 reading relation 208523810
  49. Wed Jun 1 10:14:02 2016 error -5 reading relation 211262946
  50. Wed Jun 1 10:14:26 2016 error -1 reading relation 213918638
  51. Wed Jun 1 10:14:37 2016 error -9 reading relation 214613025
  52. Wed Jun 1 10:14:38 2016 error -5 reading relation 214719794
  53. Wed Jun 1 10:15:21 2016 error -1 reading relation 218473758
  54. Wed Jun 1 10:15:21 2016 error -9 reading relation 218478884
  55. Wed Jun 1 10:16:02 2016 error -9 reading relation 223110133
  56. Wed Jun 1 10:16:29 2016 skipped 6 relations with b > 2^32
  57. Wed Jun 1 10:16:29 2016 skipped 19 relations with composite factors
  58. Wed Jun 1 10:16:29 2016 found 50433393 hash collisions in 225180102 relations
  59. Wed Jun 1 10:16:40 2016 commencing duplicate removal, pass 2
  60. Wed Jun 1 10:18:50 2016 found 53023804 duplicates and 172156298 unique relations
  61. Wed Jun 1 10:18:50 2016 memory use: 1321.5 MB
  62. Wed Jun 1 10:18:50 2016 reading ideals above 163905536
  63. Wed Jun 1 10:18:50 2016 commencing singleton removal, initial pass
  64. Wed Jun 1 10:34:24 2016 memory use: 3012.0 MB
  65. Wed Jun 1 10:34:24 2016 reading all ideals from disk
  66. Wed Jun 1 10:34:39 2016 memory use: 3062.4 MB
  67. Wed Jun 1 10:34:44 2016 commencing in-memory singleton removal
  68. Wed Jun 1 10:34:50 2016 begin with 172156298 relations and 152920898 unique ideals
  69. Wed Jun 1 10:35:42 2016 reduce to 97368356 relations and 69015541 ideals in 15 passes
  70. Wed Jun 1 10:35:42 2016 max relations containing the same ideal: 31
  71. Wed Jun 1 10:35:46 2016 reading ideals above 720000
  72. Wed Jun 1 10:35:46 2016 commencing singleton removal, initial pass
  73. Wed Jun 1 10:47:16 2016 memory use: 2756.0 MB
  74. Wed Jun 1 10:47:17 2016 reading all ideals from disk
  75. Wed Jun 1 10:47:35 2016 memory use: 3871.7 MB
  76. Wed Jun 1 10:47:45 2016 keeping 86876362 ideals with weight <= 200, target excess is 502687
  77. Wed Jun 1 10:47:55 2016 commencing in-memory singleton removal
  78. Wed Jun 1 10:48:02 2016 begin with 97368357 relations and 86876362 unique ideals
  79. Wed Jun 1 10:49:23 2016 reduce to 97333543 relations and 86841530 ideals in 10 passes
  80. Wed Jun 1 10:49:23 2016 max relations containing the same ideal: 200
  81. Wed Jun 1 10:50:04 2016 removing 7538930 relations and 6538930 ideals in 1000000 cliques
  82. Wed Jun 1 10:50:06 2016 commencing in-memory singleton removal
  83. Wed Jun 1 10:50:13 2016 begin with 89794613 relations and 86841530 unique ideals
  84. Wed Jun 1 10:51:14 2016 reduce to 89387154 relations and 79889697 ideals in 8 passes
  85. Wed Jun 1 10:51:14 2016 max relations containing the same ideal: 197
  86. Wed Jun 1 10:51:52 2016 removing 5588042 relations and 4588042 ideals in 1000000 cliques
  87. Wed Jun 1 10:51:54 2016 commencing in-memory singleton removal
  88. Wed Jun 1 10:52:00 2016 begin with 83799112 relations and 79889697 unique ideals
  89. Wed Jun 1 10:53:03 2016 reduce to 83546980 relations and 75046602 ideals in 9 passes
  90. Wed Jun 1 10:53:03 2016 max relations containing the same ideal: 191
  91. Wed Jun 1 10:53:39 2016 removing 4966494 relations and 3966494 ideals in 1000000 cliques
  92. Wed Jun 1 10:53:40 2016 commencing in-memory singleton removal
  93. Wed Jun 1 10:53:46 2016 begin with 78580486 relations and 75046602 unique ideals
  94. Wed Jun 1 10:54:37 2016 reduce to 78364782 relations and 70861907 ideals in 8 passes
  95. Wed Jun 1 10:54:37 2016 max relations containing the same ideal: 182
  96. Wed Jun 1 10:55:10 2016 removing 4629321 relations and 3629321 ideals in 1000000 cliques
  97. Wed Jun 1 10:55:11 2016 commencing in-memory singleton removal
  98. Wed Jun 1 10:55:17 2016 begin with 73735461 relations and 70861907 unique ideals
  99. Wed Jun 1 10:55:59 2016 reduce to 73537512 relations and 67032324 ideals in 7 passes
  100. Wed Jun 1 10:55:59 2016 max relations containing the same ideal: 175
  101. Wed Jun 1 10:56:30 2016 removing 4403175 relations and 3403175 ideals in 1000000 cliques
  102. Wed Jun 1 10:56:31 2016 commencing in-memory singleton removal
  103. Wed Jun 1 10:56:37 2016 begin with 69134337 relations and 67032324 unique ideals
  104. Wed Jun 1 10:57:22 2016 reduce to 68945202 relations and 63437738 ideals in 8 passes
  105. Wed Jun 1 10:57:22 2016 max relations containing the same ideal: 171
  106. Wed Jun 1 10:57:50 2016 removing 4246293 relations and 3246293 ideals in 1000000 cliques
  107. Wed Jun 1 10:57:52 2016 commencing in-memory singleton removal
  108. Wed Jun 1 10:57:57 2016 begin with 64698909 relations and 63437738 unique ideals
  109. Wed Jun 1 10:58:33 2016 reduce to 64512966 relations and 60003074 ideals in 7 passes
  110. Wed Jun 1 10:58:33 2016 max relations containing the same ideal: 162
  111. Wed Jun 1 10:59:00 2016 removing 4132979 relations and 3132979 ideals in 1000000 cliques
  112. Wed Jun 1 10:59:02 2016 commencing in-memory singleton removal
  113. Wed Jun 1 10:59:06 2016 begin with 60379987 relations and 60003074 unique ideals
  114. Wed Jun 1 10:59:40 2016 reduce to 60190743 relations and 56678313 ideals in 7 passes
  115. Wed Jun 1 10:59:40 2016 max relations containing the same ideal: 154
  116. Wed Jun 1 11:00:05 2016 removing 4046920 relations and 3046920 ideals in 1000000 cliques
  117. Wed Jun 1 11:00:07 2016 commencing in-memory singleton removal
  118. Wed Jun 1 11:00:11 2016 begin with 56143823 relations and 56678313 unique ideals
  119. Wed Jun 1 11:00:48 2016 reduce to 55949189 relations and 53434021 ideals in 8 passes
  120. Wed Jun 1 11:00:48 2016 max relations containing the same ideal: 147
  121. Wed Jun 1 11:01:11 2016 removing 3989603 relations and 2989603 ideals in 1000000 cliques
  122. Wed Jun 1 11:01:13 2016 commencing in-memory singleton removal
  123. Wed Jun 1 11:01:17 2016 begin with 51959586 relations and 53434021 unique ideals
  124. Wed Jun 1 11:01:46 2016 reduce to 51754440 relations and 50236152 ideals in 7 passes
  125. Wed Jun 1 11:01:46 2016 max relations containing the same ideal: 140
  126. Wed Jun 1 11:02:08 2016 removing 3737850 relations and 2802679 ideals in 935171 cliques
  127. Wed Jun 1 11:02:09 2016 commencing in-memory singleton removal
  128. Wed Jun 1 11:02:13 2016 begin with 48016590 relations and 50236152 unique ideals
  129. Wed Jun 1 11:02:44 2016 reduce to 47818820 relations and 47232752 ideals in 8 passes
  130. Wed Jun 1 11:02:44 2016 max relations containing the same ideal: 131
  131. Wed Jun 1 11:03:12 2016 relations with 0 large ideals: 19137
  132. Wed Jun 1 11:03:12 2016 relations with 1 large ideals: 3742
  133. Wed Jun 1 11:03:12 2016 relations with 2 large ideals: 56424
  134. Wed Jun 1 11:03:12 2016 relations with 3 large ideals: 472999
  135. Wed Jun 1 11:03:12 2016 relations with 4 large ideals: 2201921
  136. Wed Jun 1 11:03:12 2016 relations with 5 large ideals: 6215225
  137. Wed Jun 1 11:03:12 2016 relations with 6 large ideals: 11075323
  138. Wed Jun 1 11:03:12 2016 relations with 7+ large ideals: 27774049
  139. Wed Jun 1 11:03:12 2016 commencing 2-way merge
  140. Wed Jun 1 11:03:39 2016 reduce to 31662023 relation sets and 31075955 unique ideals
  141. Wed Jun 1 11:03:39 2016 commencing full merge
  142. Wed Jun 1 11:13:52 2016 memory use: 4002.1 MB
  143. Wed Jun 1 11:13:55 2016 found 14414636 cycles, need 14400155
  144. Wed Jun 1 11:13:59 2016 weight of 14400155 cycles is about 1612919633 (112.01/cycle)
  145. Wed Jun 1 11:13:59 2016 distribution of cycle lengths:
  146. Wed Jun 1 11:13:59 2016 1 relations: 730516
  147. Wed Jun 1 11:13:59 2016 2 relations: 992623
  148. Wed Jun 1 11:13:59 2016 3 relations: 1142022
  149. Wed Jun 1 11:13:59 2016 4 relations: 1158380
  150. Wed Jun 1 11:13:59 2016 5 relations: 1147199
  151. Wed Jun 1 11:13:59 2016 6 relations: 1105900
  152. Wed Jun 1 11:13:59 2016 7 relations: 1047371
  153. Wed Jun 1 11:13:59 2016 8 relations: 978051
  154. Wed Jun 1 11:13:59 2016 9 relations: 902152
  155. Wed Jun 1 11:13:59 2016 10+ relations: 5195941
  156. Wed Jun 1 11:13:59 2016 heaviest cycle: 28 relations
  157. Wed Jun 1 11:14:03 2016 commencing cycle optimization
  158. Wed Jun 1 11:14:26 2016 start with 120355902 relations
  159. Wed Jun 1 11:18:16 2016 pruned 4987115 relations
  160. Wed Jun 1 11:18:16 2016 memory use: 3235.3 MB
  161. Wed Jun 1 11:18:16 2016 distribution of cycle lengths:
  162. Wed Jun 1 11:18:16 2016 1 relations: 730516
  163. Wed Jun 1 11:18:16 2016 2 relations: 1017274
  164. Wed Jun 1 11:18:16 2016 3 relations: 1190611
  165. Wed Jun 1 11:18:16 2016 4 relations: 1203697
  166. Wed Jun 1 11:18:16 2016 5 relations: 1200329
  167. Wed Jun 1 11:18:16 2016 6 relations: 1150847
  168. Wed Jun 1 11:18:16 2016 7 relations: 1091131
  169. Wed Jun 1 11:18:16 2016 8 relations: 1012099
  170. Wed Jun 1 11:18:16 2016 9 relations: 931200
  171. Wed Jun 1 11:18:16 2016 10+ relations: 4872451
  172. Wed Jun 1 11:18:16 2016 heaviest cycle: 28 relations
  173. Wed Jun 1 11:18:43 2016 RelProcTime: 5487
  174. Wed Jun 1 11:18:43 2016
  175. Wed Jun 1 11:18:43 2016 commencing linear algebra
  176. Wed Jun 1 11:18:44 2016 read 14400155 cycles
  177. Wed Jun 1 11:19:12 2016 cycles contain 47452399 unique relations
  178. Wed Jun 1 11:23:21 2016 read 47452399 relations
  179. Wed Jun 1 11:24:38 2016 using 20 quadratic characters above 4294917295
  180. Wed Jun 1 11:27:43 2016 building initial matrix
  181. Wed Jun 1 11:35:34 2016 memory use: 6345.6 MB
  182. Wed Jun 1 11:35:40 2016 read 14400155 cycles
  183. Wed Jun 1 11:35:42 2016 matrix is 14399978 x 14400155 (6380.4 MB) with weight 1883590697 (130.80/col)
  184. Wed Jun 1 11:35:42 2016 sparse part has weight 1514176111 (105.15/col)
  185. Wed Jun 1 11:38:26 2016 filtering completed in 2 passes
  186. Wed Jun 1 11:38:28 2016 matrix is 14399833 x 14400010 (6380.4 MB) with weight 1883585797 (130.80/col)
  187. Wed Jun 1 11:38:28 2016 sparse part has weight 1514175091 (105.15/col)
  188. Wed Jun 1 11:39:20 2016 matrix starts at (0, 0)
  189. Wed Jun 1 11:39:22 2016 matrix is 14399833 x 14400010 (6380.4 MB) with weight 1883585797 (130.80/col)
  190. Wed Jun 1 11:39:22 2016 sparse part has weight 1514175091 (105.15/col)
  191. Wed Jun 1 11:39:22 2016 saving the first 48 matrix rows for later
  192. Wed Jun 1 11:39:24 2016 matrix includes 64 packed rows
  193. Wed Jun 1 11:39:26 2016 matrix is 14399785 x 14400010 (6145.5 MB) with weight 1594690378 (110.74/col)
  194. Wed Jun 1 11:39:26 2016 sparse part has weight 1467001001 (101.87/col)
  195. Wed Jun 1 11:39:26 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  196. Wed Jun 1 11:40:26 2016 commencing Lanczos iteration (4 threads)
  197. Wed Jun 1 11:40:26 2016 memory use: 5248.8 MB
  198. Wed Jun 1 11:41:43 2016 linear algebra at 0.0%, ETA 191h42m
  199. Wed Jun 1 11:42:07 2016 checkpointing every 80000 dimensions
  200. Thu Jun 9 11:57:42 2016 lanczos halted after 227721 iterations (dim = 14399785)
  201. Thu Jun 9 11:57:54 2016 recovered 36 nontrivial dependencies
  202. Thu Jun 9 11:57:55 2016 BLanczosTime: 693552
  203. Thu Jun 9 11:57:55 2016
  204. Thu Jun 9 11:57:55 2016 commencing square root phase
  205. Thu Jun 9 11:57:55 2016 handling dependencies 1 to 64
  206. Thu Jun 9 11:57:55 2016 reading relations for dependency 1
  207. Thu Jun 9 11:57:58 2016 read 7198598 cycles
  208. Thu Jun 9 11:58:10 2016 cycles contain 23718176 unique relations
  209. Thu Jun 9 12:00:41 2016 read 23718176 relations
  210. Thu Jun 9 12:02:14 2016 multiplying 23718176 relations
  211. Thu Jun 9 12:17:03 2016 multiply complete, coefficients have about 620.83 million bits
  212. Thu Jun 9 12:17:05 2016 initial square root is modulo 371353
  213. Thu Jun 9 12:32:47 2016 found factor: 358231156116608412317781383391807955747754306589150338489327
  214. Thu Jun 9 12:32:47 2016 reading relations for dependency 2
  215. Thu Jun 9 12:32:50 2016 read 7200369 cycles
  216. Thu Jun 9 12:33:02 2016 cycles contain 23726720 unique relations
  217. Thu Jun 9 12:35:32 2016 read 23726720 relations
  218. Thu Jun 9 12:37:03 2016 multiplying 23726720 relations
  219. Thu Jun 9 12:51:53 2016 multiply complete, coefficients have about 621.05 million bits
  220. Thu Jun 9 12:51:54 2016 initial square root is modulo 373183
  221. Thu Jun 9 13:07:37 2016 sqrtTime: 4182
  222. Thu Jun 9 13:07:37 2016 p60 factor: 358231156116608412317781383391807955747754306589150338489327
  223. Thu Jun 9 13:07:37 2016 p66 factor: 981484307394518875723546002788928513501921335972787821418756430853
  224. Thu Jun 9 13:07:37 2016 p85 factor: 3057305603021701763995063182781783294471916575445147368983375467206575123347177658469
  225. Thu Jun 9 13:07:37 2016 elapsed time 195:20:23
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