CarlosPinho

L1569

Jun 2nd, 2016
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  1. Fri Nov 23 12:15:39 2012
  2. Fri Nov 23 12:15:39 2012
  3. Fri Nov 23 12:15:39 2012 Msieve v. 1.51 (SVN 818)
  4. Fri Nov 23 12:15:39 2012 random seeds: 37a41433 b58feb8d
  5. Fri Nov 23 12:15:39 2012 factoring 374022601545158614618323964499519510609840448834978235496493317656485899109771899130071097342362946855562599036428844302695358618864566622212380893390170280685710878451320950670942188794996472765331981 (201 digits)
  6. Fri Nov 23 12:15:40 2012 no P-1/P+1/ECM available, skipping
  7. Fri Nov 23 12:15:40 2012 commencing number field sieve (201-digit input)
  8. Fri Nov 23 12:15:40 2012 R0: -1672445759041379840132227567949787325
  9. Fri Nov 23 12:15:40 2012 R1: 1033628323428189498226463595560281832
  10. Fri Nov 23 12:15:40 2012 A0: 6
  11. Fri Nov 23 12:15:40 2012 A1: -27
  12. Fri Nov 23 12:15:40 2012 A2: 45
  13. Fri Nov 23 12:15:40 2012 A3: -15
  14. Fri Nov 23 12:15:40 2012 A4: 30
  15. Fri Nov 23 12:15:40 2012 A5: 3
  16. Fri Nov 23 12:15:40 2012 A6: 4
  17. Fri Nov 23 12:15:40 2012 skew 1.00, size 9.487e-11, alpha 0.306, combined = 3.215e-12 rroots = 0
  18. Fri Nov 23 12:15:40 2012
  19. Fri Nov 23 12:15:40 2012 commencing relation filtering
  20. Fri Nov 23 12:15:40 2012 estimated available RAM is 16003.1 MB
  21. Fri Nov 23 12:15:40 2012 commencing duplicate removal, pass 1
  22. Fri Nov 23 12:19:32 2012 error -5 reading relation 24331983
  23. Fri Nov 23 12:20:26 2012 error -9 reading relation 29596968
  24. Fri Nov 23 12:21:12 2012 error -15 reading relation 34463633
  25. Fri Nov 23 12:21:13 2012 error -9 reading relation 34477492
  26. Fri Nov 23 12:22:17 2012 error -15 reading relation 41267814
  27. Fri Nov 23 12:22:17 2012 error -9 reading relation 41282271
  28. Fri Nov 23 12:23:05 2012 error -9 reading relation 45600519
  29. Fri Nov 23 12:23:23 2012 error -1 reading relation 47180138
  30. Fri Nov 23 12:24:55 2012 skipped 2 relations with b > 2^32
  31. Fri Nov 23 12:24:55 2012 found 9844828 hash collisions in 55685377 relations
  32. Fri Nov 23 12:25:09 2012 added 812294 free relations
  33. Fri Nov 23 12:25:09 2012 commencing duplicate removal, pass 2
  34. Fri Nov 23 12:29:57 2012 found 9348114 duplicates and 47149557 unique relations
  35. Fri Nov 23 12:29:57 2012 memory use: 330.4 MB
  36. Fri Nov 23 12:29:57 2012 reading ideals above 720000
  37. Fri Nov 23 12:29:57 2012 commencing singleton removal, initial pass
  38. Fri Nov 23 12:39:55 2012 memory use: 1378.0 MB
  39. Fri Nov 23 12:39:55 2012 reading all ideals from disk
  40. Fri Nov 23 12:39:55 2012 memory use: 1698.0 MB
  41. Fri Nov 23 12:39:58 2012 keeping 46240194 ideals with weight <= 200, target excess is 248784
  42. Fri Nov 23 12:40:02 2012 commencing in-memory singleton removal
  43. Fri Nov 23 12:40:04 2012 begin with 47149557 relations and 46240194 unique ideals
  44. Fri Nov 23 12:40:35 2012 reduce to 27542805 relations and 24330315 ideals in 15 passes
  45. Fri Nov 23 12:40:35 2012 max relations containing the same ideal: 144
  46. Fri Nov 23 12:40:44 2012 removing 2713933 relations and 2313933 ideals in 400000 cliques
  47. Fri Nov 23 12:40:45 2012 commencing in-memory singleton removal
  48. Fri Nov 23 12:40:46 2012 begin with 24828872 relations and 24330315 unique ideals
  49. Fri Nov 23 12:41:01 2012 reduce to 24595217 relations and 21778140 ideals in 9 passes
  50. Fri Nov 23 12:41:01 2012 max relations containing the same ideal: 133
  51. Fri Nov 23 12:41:09 2012 removing 2054285 relations and 1654285 ideals in 400000 cliques
  52. Fri Nov 23 12:41:10 2012 commencing in-memory singleton removal
  53. Fri Nov 23 12:41:11 2012 begin with 22540932 relations and 21778140 unique ideals
  54. Fri Nov 23 12:41:23 2012 reduce to 22401541 relations and 19982067 ideals in 8 passes
  55. Fri Nov 23 12:41:23 2012 max relations containing the same ideal: 126
  56. Fri Nov 23 12:41:31 2012 removing 1847335 relations and 1447335 ideals in 400000 cliques
  57. Fri Nov 23 12:41:31 2012 commencing in-memory singleton removal
  58. Fri Nov 23 12:41:32 2012 begin with 20554206 relations and 19982067 unique ideals
  59. Fri Nov 23 12:41:42 2012 reduce to 20434296 relations and 18412753 ideals in 7 passes
  60. Fri Nov 23 12:41:42 2012 max relations containing the same ideal: 121
  61. Fri Nov 23 12:41:48 2012 removing 1741005 relations and 1341005 ideals in 400000 cliques
  62. Fri Nov 23 12:41:49 2012 commencing in-memory singleton removal
  63. Fri Nov 23 12:41:50 2012 begin with 18693291 relations and 18412753 unique ideals
  64. Fri Nov 23 12:41:58 2012 reduce to 18579612 relations and 16956103 ideals in 7 passes
  65. Fri Nov 23 12:41:58 2012 max relations containing the same ideal: 109
  66. Fri Nov 23 12:42:04 2012 removing 1672550 relations and 1272550 ideals in 400000 cliques
  67. Fri Nov 23 12:42:05 2012 commencing in-memory singleton removal
  68. Fri Nov 23 12:42:06 2012 begin with 16907062 relations and 16956103 unique ideals
  69. Fri Nov 23 12:42:15 2012 reduce to 16794426 relations and 15568753 ideals in 8 passes
  70. Fri Nov 23 12:42:15 2012 max relations containing the same ideal: 105
  71. Fri Nov 23 12:42:20 2012 removing 1626571 relations and 1226571 ideals in 400000 cliques
  72. Fri Nov 23 12:42:21 2012 commencing in-memory singleton removal
  73. Fri Nov 23 12:42:21 2012 begin with 15167855 relations and 15568753 unique ideals
  74. Fri Nov 23 12:42:29 2012 reduce to 15052912 relations and 14224792 ideals in 8 passes
  75. Fri Nov 23 12:42:29 2012 max relations containing the same ideal: 98
  76. Fri Nov 23 12:42:34 2012 removing 1596285 relations and 1196285 ideals in 400000 cliques
  77. Fri Nov 23 12:42:34 2012 commencing in-memory singleton removal
  78. Fri Nov 23 12:42:35 2012 begin with 13456627 relations and 14224792 unique ideals
  79. Fri Nov 23 12:42:41 2012 reduce to 13333276 relations and 12902429 ideals in 7 passes
  80. Fri Nov 23 12:42:41 2012 max relations containing the same ideal: 90
  81. Fri Nov 23 12:42:46 2012 removing 686267 relations and 544010 ideals in 142257 cliques
  82. Fri Nov 23 12:42:46 2012 commencing in-memory singleton removal
  83. Fri Nov 23 12:42:46 2012 begin with 12647009 relations and 12902429 unique ideals
  84. Fri Nov 23 12:42:51 2012 reduce to 12623900 relations and 12335098 ideals in 6 passes
  85. Fri Nov 23 12:42:51 2012 max relations containing the same ideal: 84
  86. Fri Nov 23 12:42:57 2012 relations with 0 large ideals: 6077
  87. Fri Nov 23 12:42:57 2012 relations with 1 large ideals: 2880
  88. Fri Nov 23 12:42:57 2012 relations with 2 large ideals: 33161
  89. Fri Nov 23 12:42:57 2012 relations with 3 large ideals: 243937
  90. Fri Nov 23 12:42:57 2012 relations with 4 large ideals: 971684
  91. Fri Nov 23 12:42:57 2012 relations with 5 large ideals: 2296582
  92. Fri Nov 23 12:42:57 2012 relations with 6 large ideals: 3362029
  93. Fri Nov 23 12:42:57 2012 relations with 7+ large ideals: 5707550
  94. Fri Nov 23 12:42:57 2012 commencing 2-way merge
  95. Fri Nov 23 12:43:03 2012 reduce to 8159539 relation sets and 7870736 unique ideals
  96. Fri Nov 23 12:43:03 2012 commencing full merge
  97. Fri Nov 23 12:44:31 2012 memory use: 987.5 MB
  98. Fri Nov 23 12:44:31 2012 found 4376591 cycles, need 4336936
  99. Fri Nov 23 12:44:32 2012 weight of 4336936 cycles is about 303605369 (70.00/cycle)
  100. Fri Nov 23 12:44:32 2012 distribution of cycle lengths:
  101. Fri Nov 23 12:44:32 2012 1 relations: 514003
  102. Fri Nov 23 12:44:32 2012 2 relations: 531155
  103. Fri Nov 23 12:44:32 2012 3 relations: 526959
  104. Fri Nov 23 12:44:32 2012 4 relations: 485114
  105. Fri Nov 23 12:44:32 2012 5 relations: 449214
  106. Fri Nov 23 12:44:32 2012 6 relations: 394457
  107. Fri Nov 23 12:44:32 2012 7 relations: 344180
  108. Fri Nov 23 12:44:32 2012 8 relations: 288257
  109. Fri Nov 23 12:44:32 2012 9 relations: 233631
  110. Fri Nov 23 12:44:32 2012 10+ relations: 569966
  111. Fri Nov 23 12:44:32 2012 heaviest cycle: 19 relations
  112. Fri Nov 23 12:44:33 2012 commencing cycle optimization
  113. Fri Nov 23 12:44:38 2012 start with 23187877 relations
  114. Fri Nov 23 12:44:58 2012 pruned 597205 relations
  115. Fri Nov 23 12:44:58 2012 memory use: 758.7 MB
  116. Fri Nov 23 12:44:58 2012 distribution of cycle lengths:
  117. Fri Nov 23 12:44:58 2012 1 relations: 514003
  118. Fri Nov 23 12:44:58 2012 2 relations: 542439
  119. Fri Nov 23 12:44:58 2012 3 relations: 545883
  120. Fri Nov 23 12:44:58 2012 4 relations: 498249
  121. Fri Nov 23 12:44:58 2012 5 relations: 461633
  122. Fri Nov 23 12:44:58 2012 6 relations: 401554
  123. Fri Nov 23 12:44:58 2012 7 relations: 349065
  124. Fri Nov 23 12:44:58 2012 8 relations: 288055
  125. Fri Nov 23 12:44:58 2012 9 relations: 230530
  126. Fri Nov 23 12:44:58 2012 10+ relations: 505525
  127. Fri Nov 23 12:44:58 2012 heaviest cycle: 19 relations
  128. Fri Nov 23 12:45:02 2012 RelProcTime: 1762
  129. Fri Nov 23 12:45:02 2012
  130. Fri Nov 23 12:45:02 2012 commencing linear algebra
  131. Fri Nov 23 12:45:04 2012 read 4336936 cycles
  132. Fri Nov 23 12:45:09 2012 cycles contain 12459636 unique relations
  133. Fri Nov 23 12:50:43 2012 read 12459636 relations
  134. Fri Nov 23 12:50:55 2012 using 20 quadratic characters above 536870274
  135. Fri Nov 23 12:51:39 2012 building initial matrix
  136. Fri Nov 23 12:53:06 2012 memory use: 1591.5 MB
  137. Fri Nov 23 12:53:07 2012 read 4336936 cycles
  138. Fri Nov 23 12:53:07 2012 matrix is 4336759 x 4336936 (1298.0 MB) with weight 381203859 (87.90/col)
  139. Fri Nov 23 12:53:07 2012 sparse part has weight 292544392 (67.45/col)
  140. Fri Nov 23 12:53:34 2012 filtering completed in 2 passes
  141. Fri Nov 23 12:53:34 2012 matrix is 4335946 x 4336122 (1297.9 MB) with weight 381181528 (87.91/col)
  142. Fri Nov 23 12:53:34 2012 sparse part has weight 292538145 (67.47/col)
  143. Fri Nov 23 12:53:46 2012 matrix starts at (0, 0)
  144. Fri Nov 23 12:53:46 2012 matrix is 4335946 x 4336122 (1297.9 MB) with weight 381181528 (87.91/col)
  145. Fri Nov 23 12:53:46 2012 sparse part has weight 292538145 (67.47/col)
  146. Fri Nov 23 12:53:46 2012 saving the first 48 matrix rows for later
  147. Fri Nov 23 12:53:46 2012 matrix includes 64 packed rows
  148. Fri Nov 23 12:53:47 2012 matrix is 4335898 x 4336122 (1234.9 MB) with weight 301882347 (69.62/col)
  149. Fri Nov 23 12:53:47 2012 sparse part has weight 280373242 (64.66/col)
  150. Fri Nov 23 12:53:47 2012 using block size 262144 for processor cache size 8192 kB
  151. Fri Nov 23 12:53:51 2012 commencing Lanczos iteration (4 threads)
  152. Fri Nov 23 12:53:51 2012 memory use: 1500.5 MB
  153. Fri Nov 23 12:54:09 2012 linear algebra at 0.0%, ETA 13h27m
  154. Fri Nov 23 12:54:14 2012 checkpointing every 340000 dimensions
  155. Fri Nov 23 12:55:42 2012 lanczos halted after 156 iterations (dim = 9872)
  156. Fri Nov 23 12:55:42 2012 BLanczosTime: 640
  157. Fri Nov 23 12:55:42 2012
  158. Fri Nov 23 12:55:42 2012 commencing square root phase
  159. Fri Nov 23 12:55:42 2012 reading relations for dependency 1
  160. Fri Nov 23 12:55:42 2012 error: read_cycles can't open dependency file
  161. Fri Nov 23 12:55:50 2012
  162. Fri Nov 23 12:55:50 2012
  163. Fri Nov 23 12:55:50 2012 Msieve v. 1.51 (SVN 818)
  164. Fri Nov 23 12:55:50 2012 random seeds: 37682db4 eabc37ad
  165. Fri Nov 23 12:55:50 2012 factoring 374022601545158614618323964499519510609840448834978235496493317656485899109771899130071097342362946855562599036428844302695358618864566622212380893390170280685710878451320950670942188794996472765331981 (201 digits)
  166. Fri Nov 23 12:55:51 2012 no P-1/P+1/ECM available, skipping
  167. Fri Nov 23 12:55:51 2012 commencing number field sieve (201-digit input)
  168. Fri Nov 23 12:55:51 2012 R0: -1672445759041379840132227567949787325
  169. Fri Nov 23 12:55:51 2012 R1: 1033628323428189498226463595560281832
  170. Fri Nov 23 12:55:51 2012 A0: 6
  171. Fri Nov 23 12:55:51 2012 A1: -27
  172. Fri Nov 23 12:55:51 2012 A2: 45
  173. Fri Nov 23 12:55:51 2012 A3: -15
  174. Fri Nov 23 12:55:51 2012 A4: 30
  175. Fri Nov 23 12:55:51 2012 A5: 3
  176. Fri Nov 23 12:55:51 2012 A6: 4
  177. Fri Nov 23 12:55:51 2012 skew 1.00, size 9.487e-11, alpha 0.306, combined = 3.215e-12 rroots = 0
  178. Fri Nov 23 12:55:51 2012
  179. Fri Nov 23 12:55:51 2012 commencing linear algebra
  180. Fri Nov 23 12:55:52 2012 matrix starts at (0, 0)
  181. Fri Nov 23 12:55:52 2012 matrix is 4335946 x 4336122 (1297.9 MB) with weight 381181528 (87.91/col)
  182. Fri Nov 23 12:55:52 2012 sparse part has weight 292538145 (67.47/col)
  183. Fri Nov 23 12:55:52 2012 saving the first 48 matrix rows for later
  184. Fri Nov 23 12:55:53 2012 matrix includes 64 packed rows
  185. Fri Nov 23 12:55:53 2012 matrix is 4335898 x 4336122 (1234.9 MB) with weight 301882347 (69.62/col)
  186. Fri Nov 23 12:55:53 2012 sparse part has weight 280373242 (64.66/col)
  187. Fri Nov 23 12:55:53 2012 using block size 262144 for processor cache size 8192 kB
  188. Fri Nov 23 12:55:58 2012 commencing Lanczos iteration (3 threads)
  189. Fri Nov 23 12:55:58 2012 memory use: 1467.4 MB
  190. Fri Nov 23 12:55:58 2012 restarting at iteration 156 (dim = 9872)
  191. Fri Nov 23 12:56:14 2012 linear algebra at 0.3%, ETA 12h37m
  192. Fri Nov 23 12:56:21 2012 checkpointing every 340000 dimensions
  193. Sat Nov 24 03:10:56 2012 lanczos halted after 68569 iterations (dim = 4335895)
  194. Sat Nov 24 03:11:01 2012 recovered 34 nontrivial dependencies
  195. Sat Nov 24 03:11:01 2012 BLanczosTime: 51310
  196. Sat Nov 24 03:11:01 2012 elapsed time 14:15:11
  197. Sat Nov 24 10:11:20 2012
  198. Sat Nov 24 10:11:20 2012
  199. Sat Nov 24 10:11:20 2012 Msieve v. 1.51 (SVN 818)
  200. Sat Nov 24 10:11:20 2012 random seeds: d02b438e fa9a5113
  201. Sat Nov 24 10:11:20 2012 factoring 374022601545158614618323964499519510609840448834978235496493317656485899109771899130071097342362946855562599036428844302695358618864566622212380893390170280685710878451320950670942188794996472765331981 (201 digits)
  202. Sat Nov 24 10:11:21 2012 no P-1/P+1/ECM available, skipping
  203. Sat Nov 24 10:11:21 2012 commencing number field sieve (201-digit input)
  204. Sat Nov 24 10:11:21 2012 R0: -1672445759041379840132227567949787325
  205. Sat Nov 24 10:11:21 2012 R1: 1033628323428189498226463595560281832
  206. Sat Nov 24 10:11:21 2012 A0: 6
  207. Sat Nov 24 10:11:21 2012 A1: -27
  208. Sat Nov 24 10:11:21 2012 A2: 45
  209. Sat Nov 24 10:11:21 2012 A3: -15
  210. Sat Nov 24 10:11:21 2012 A4: 30
  211. Sat Nov 24 10:11:21 2012 A5: 3
  212. Sat Nov 24 10:11:21 2012 A6: 4
  213. Sat Nov 24 10:11:21 2012 skew 1.00, size 9.487e-11, alpha 0.306, combined = 3.215e-12 rroots = 0
  214. Sat Nov 24 10:11:21 2012
  215. Sat Nov 24 10:11:21 2012 commencing square root phase
  216. Sat Nov 24 10:11:21 2012 reading relations for dependency 1
  217. Sat Nov 24 10:11:22 2012 read 2168079 cycles
  218. Sat Nov 24 10:11:24 2012 cycles contain 6228410 unique relations
  219. Sat Nov 24 10:16:40 2012 read 6228410 relations
  220. Sat Nov 24 10:17:02 2012 multiplying 6228410 relations
  221. Sat Nov 24 10:20:59 2012 multiply complete, coefficients have about 166.73 million bits
  222. Sat Nov 24 10:20:59 2012 initial square root is modulo 962921
  223. Sat Nov 24 10:24:59 2012 sqrtTime: 818
  224. Sat Nov 24 10:24:59 2012 prp89 factor: 17121520388149882178940253245805767521493668252302580817877894464577167697046894436769069
  225. Sat Nov 24 10:24:59 2012 prp113 factor: 21845174556111646891467859014921136544162826182781622234259555333887621806777251938346085638278916105741284580449
  226. Sat Nov 24 10:24:59 2012 elapsed time 00:13:39
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