CarlosPinho

GC_2_795

May 28th, 2016
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  1. Thu Sep 11 15:19:15 2014
  2. Thu Sep 11 15:19:15 2014
  3. Thu Sep 11 15:19:15 2014 Msieve v. 1.52 (SVN 946)
  4. Thu Sep 11 15:19:15 2014 random seeds: aebeb9a8 68645349
  5. Thu Sep 11 15:19:15 2014 factoring 36184106635130312261104987927115540284318348995111923442979600113748846642812398243315469692220969942500826648687250513491579644023107676996213568902061923335061605942757675426836003847286011923662100677475803 (209 digits)
  6. Thu Sep 11 15:19:16 2014 no P-1/P+1/ECM available, skipping
  7. Thu Sep 11 15:19:16 2014 commencing number field sieve (209-digit input)
  8. Thu Sep 11 15:19:16 2014 R0: -5444517870735015415413993718908291383296
  9. Thu Sep 11 15:19:16 2014 R1: 1
  10. Thu Sep 11 15:19:16 2014 A0: 1
  11. Thu Sep 11 15:19:16 2014 A1: 0
  12. Thu Sep 11 15:19:16 2014 A2: 0
  13. Thu Sep 11 15:19:16 2014 A3: 0
  14. Thu Sep 11 15:19:16 2014 A4: 0
  15. Thu Sep 11 15:19:16 2014 A5: 0
  16. Thu Sep 11 15:19:16 2014 A6: 6360
  17. Thu Sep 11 15:19:16 2014 skew 1.00, size 4.750e-012, alpha -0.523, combined = 3.533e-013 rroots = 0
  18. Thu Sep 11 15:19:16 2014
  19. Thu Sep 11 15:19:16 2014 commencing relation filtering
  20. Thu Sep 11 15:19:16 2014 setting target matrix density to 120.0
  21. Thu Sep 11 15:19:16 2014 estimated available RAM is 8141.7 MB
  22. Thu Sep 11 15:19:16 2014 commencing duplicate removal, pass 1
  23. <errors reading relations>
  24. Thu Sep 11 16:03:45 2014 skipped 532 relations with b > 2^32
  25. Thu Sep 11 16:03:45 2014 found 41360367 hash collisions in 223120271 relations
  26. Thu Sep 11 16:04:08 2014 commencing duplicate removal, pass 2
  27. Thu Sep 11 16:05:51 2014 found 39768281 duplicates and 183351990 unique relations
  28. Thu Sep 11 16:05:51 2014 memory use: 1321.5 MB
  29. Thu Sep 11 16:05:51 2014 reading ideals above 149880832
  30. Thu Sep 11 16:05:51 2014 commencing singleton removal, initial pass
  31. Thu Sep 11 16:42:31 2014 memory use: 3012.0 MB
  32. Thu Sep 11 16:42:31 2014 reading all ideals from disk
  33. Thu Sep 11 16:42:41 2014 memory use: 3072.9 MB
  34. Thu Sep 11 16:42:47 2014 commencing in-memory singleton removal
  35. Thu Sep 11 16:42:53 2014 begin with 183351990 relations and 155335393 unique ideals
  36. Thu Sep 11 16:43:58 2014 reduce to 111710390 relations and 75622528 ideals in 13 passes
  37. Thu Sep 11 16:43:58 2014 max relations containing the same ideal: 38
  38. Thu Sep 11 16:44:07 2014 reading ideals above 720000
  39. Thu Sep 11 16:44:07 2014 commencing singleton removal, initial pass
  40. Thu Sep 11 17:10:27 2014 memory use: 2756.0 MB
  41. Thu Sep 11 17:10:28 2014 reading large ideals from disk
  42. Thu Sep 11 17:12:12 2014 keeping 82563028 ideals with weight <= 20, target excess is 9931262
  43. Thu Sep 11 17:14:22 2014 memory use: 2677.7 MB
  44. Thu Sep 11 17:14:22 2014 commencing in-memory singleton removal
  45. Thu Sep 11 17:14:27 2014 begin with 111710390 relations and 82563028 unique ideals
  46. Thu Sep 11 17:15:13 2014 reduce to 111701441 relations and 82554078 ideals in 8 passes
  47. Thu Sep 11 17:15:13 2014 max relations containing the same ideal: 20
  48. Thu Sep 11 17:15:42 2014 removing 10761378 relations and 8761378 ideals in 2000000 cliques
  49. Thu Sep 11 17:15:45 2014 commencing in-memory singleton removal
  50. Thu Sep 11 17:15:49 2014 begin with 100940063 relations and 82554078 unique ideals
  51. Thu Sep 11 17:16:35 2014 reduce to 100051724 relations and 72883900 ideals in 9 passes
  52. Thu Sep 11 17:16:35 2014 max relations containing the same ideal: 20
  53. Thu Sep 11 17:17:01 2014 removing 8154729 relations and 6154729 ideals in 2000000 cliques
  54. Thu Sep 11 17:17:03 2014 commencing in-memory singleton removal
  55. Thu Sep 11 17:17:06 2014 begin with 91896995 relations and 72883900 unique ideals
  56. Thu Sep 11 17:17:47 2014 reduce to 91293024 relations and 66112776 ideals in 9 passes
  57. Thu Sep 11 17:17:47 2014 max relations containing the same ideal: 20
  58. Thu Sep 11 17:18:11 2014 removing 7428963 relations and 5428963 ideals in 2000000 cliques
  59. Thu Sep 11 17:18:13 2014 commencing in-memory singleton removal
  60. Thu Sep 11 17:18:16 2014 begin with 83864061 relations and 66112776 unique ideals
  61. Thu Sep 11 17:18:48 2014 reduce to 83321915 relations and 60130232 ideals in 8 passes
  62. Thu Sep 11 17:18:48 2014 max relations containing the same ideal: 20
  63. Thu Sep 11 17:19:10 2014 removing 7081964 relations and 5081964 ideals in 2000000 cliques
  64. Thu Sep 11 17:19:12 2014 commencing in-memory singleton removal
  65. Thu Sep 11 17:19:15 2014 begin with 76239951 relations and 60130232 unique ideals
  66. Thu Sep 11 17:19:44 2014 reduce to 75715846 relations and 54512327 ideals in 8 passes
  67. Thu Sep 11 17:19:44 2014 max relations containing the same ideal: 20
  68. Thu Sep 11 17:20:04 2014 removing 6873763 relations and 4873763 ideals in 2000000 cliques
  69. Thu Sep 11 17:20:06 2014 commencing in-memory singleton removal
  70. Thu Sep 11 17:20:08 2014 begin with 68842083 relations and 54512327 unique ideals
  71. Thu Sep 11 17:20:34 2014 reduce to 68317158 relations and 49101092 ideals in 8 passes
  72. Thu Sep 11 17:20:34 2014 max relations containing the same ideal: 20
  73. Thu Sep 11 17:20:51 2014 removing 6727093 relations and 4727093 ideals in 2000000 cliques
  74. Thu Sep 11 17:20:53 2014 commencing in-memory singleton removal
  75. Thu Sep 11 17:20:55 2014 begin with 61590065 relations and 49101092 unique ideals
  76. Thu Sep 11 17:21:15 2014 reduce to 61040042 relations and 43809527 ideals in 7 passes
  77. Thu Sep 11 17:21:15 2014 max relations containing the same ideal: 20
  78. Thu Sep 11 17:21:31 2014 removing 6644791 relations and 4644791 ideals in 2000000 cliques
  79. Thu Sep 11 17:21:33 2014 commencing in-memory singleton removal
  80. Thu Sep 11 17:21:34 2014 begin with 54395251 relations and 43809527 unique ideals
  81. Thu Sep 11 17:21:56 2014 reduce to 53811336 relations and 38563630 ideals in 9 passes
  82. Thu Sep 11 17:21:56 2014 max relations containing the same ideal: 20
  83. Thu Sep 11 17:22:09 2014 removing 6595267 relations and 4595267 ideals in 2000000 cliques
  84. Thu Sep 11 17:22:11 2014 commencing in-memory singleton removal
  85. Thu Sep 11 17:22:12 2014 begin with 47216069 relations and 38563630 unique ideals
  86. Thu Sep 11 17:22:28 2014 reduce to 46574250 relations and 33304896 ideals in 8 passes
  87. Thu Sep 11 17:22:28 2014 max relations containing the same ideal: 19
  88. Thu Sep 11 17:22:40 2014 removing 5809806 relations and 4060716 ideals in 1749090 cliques
  89. Thu Sep 11 17:22:42 2014 commencing in-memory singleton removal
  90. Thu Sep 11 17:22:43 2014 begin with 40764444 relations and 33304896 unique ideals
  91. Thu Sep 11 17:22:58 2014 reduce to 40161141 relations and 28619773 ideals in 9 passes
  92. Thu Sep 11 17:22:58 2014 max relations containing the same ideal: 18
  93. Thu Sep 11 17:23:08 2014 removing 96605 relations and 75501 ideals in 21104 cliques
  94. Thu Sep 11 17:23:08 2014 commencing in-memory singleton removal
  95. Thu Sep 11 17:23:09 2014 begin with 40064536 relations and 28619773 unique ideals
  96. Thu Sep 11 17:23:17 2014 reduce to 40064002 relations and 28543738 ideals in 5 passes
  97. Thu Sep 11 17:23:17 2014 max relations containing the same ideal: 18
  98. Thu Sep 11 17:23:20 2014 relations with 0 large ideals: 1973013
  99. Thu Sep 11 17:23:20 2014 relations with 1 large ideals: 8255613
  100. Thu Sep 11 17:23:20 2014 relations with 2 large ideals: 14133893
  101. Thu Sep 11 17:23:20 2014 relations with 3 large ideals: 10691774
  102. Thu Sep 11 17:23:20 2014 relations with 4 large ideals: 3934413
  103. Thu Sep 11 17:23:20 2014 relations with 5 large ideals: 798171
  104. Thu Sep 11 17:23:20 2014 relations with 6 large ideals: 190414
  105. Thu Sep 11 17:23:20 2014 relations with 7+ large ideals: 86711
  106. Thu Sep 11 17:23:20 2014 commencing 2-way merge
  107. Thu Sep 11 17:23:33 2014 reduce to 24879841 relation sets and 13359577 unique ideals
  108. Thu Sep 11 17:23:33 2014 commencing full merge
  109. Thu Sep 11 17:25:43 2014 memory use: 1199.6 MB
  110. Thu Sep 11 17:25:46 2014 found 11658544 cycles, need 10617462
  111. Thu Sep 11 17:25:47 2014 weight of 10617462 cycles is about 1187531961 (111.85/cycle)
  112. Thu Sep 11 17:25:47 2014 distribution of cycle lengths:
  113. Thu Sep 11 17:25:47 2014 1 relations: 1976670
  114. Thu Sep 11 17:25:47 2014 2 relations: 794812
  115. Thu Sep 11 17:25:47 2014 3 relations: 636215
  116. Thu Sep 11 17:25:47 2014 4 relations: 577042
  117. Thu Sep 11 17:25:47 2014 5 relations: 560417
  118. Thu Sep 11 17:25:47 2014 6 relations: 541739
  119. Thu Sep 11 17:25:47 2014 7 relations: 534597
  120. Thu Sep 11 17:25:47 2014 8 relations: 519548
  121. Thu Sep 11 17:25:47 2014 9 relations: 504439
  122. Thu Sep 11 17:25:47 2014 10+ relations: 3971983
  123. Thu Sep 11 17:25:47 2014 heaviest cycle: 25 relations
  124. Thu Sep 11 17:25:47 2014 commencing cycle optimization
  125. Thu Sep 11 17:26:05 2014 start with 83511493 relations
  126. Thu Sep 11 17:29:10 2014 pruned 6911772 relations
  127. Thu Sep 11 17:29:10 2014 memory use: 2191.3 MB
  128. Thu Sep 11 17:29:10 2014 distribution of cycle lengths:
  129. Thu Sep 11 17:29:10 2014 1 relations: 1976670
  130. Thu Sep 11 17:29:10 2014 2 relations: 827943
  131. Thu Sep 11 17:29:10 2014 3 relations: 679221
  132. Thu Sep 11 17:29:10 2014 4 relations: 624971
  133. Thu Sep 11 17:29:10 2014 5 relations: 618315
  134. Thu Sep 11 17:29:10 2014 6 relations: 605601
  135. Thu Sep 11 17:29:10 2014 7 relations: 604464
  136. Thu Sep 11 17:29:10 2014 8 relations: 588348
  137. Thu Sep 11 17:29:10 2014 9 relations: 572721
  138. Thu Sep 11 17:29:10 2014 10+ relations: 3519208
  139. Thu Sep 11 17:29:10 2014 heaviest cycle: 24 relations
  140. Thu Sep 11 17:29:21 2014 RelProcTime: 7805
  141. Thu Sep 11 17:29:21 2014
  142. Thu Sep 11 17:29:21 2014 commencing linear algebra
  143. Thu Sep 11 17:29:23 2014 read 10617462 cycles
  144. Thu Sep 11 17:29:42 2014 cycles contain 33910712 unique relations
  145. Thu Sep 11 17:36:40 2014 read 33910712 relations
  146. Thu Sep 11 17:37:28 2014 using 20 quadratic characters above 2147483238
  147. Thu Sep 11 17:39:57 2014 building initial matrix
  148. Thu Sep 11 17:47:27 2014 memory use: 4564.7 MB
  149. Thu Sep 11 17:47:44 2014 read 10617462 cycles
  150. Thu Sep 11 17:47:47 2014 matrix is 10616941 x 10617462 (4401.5 MB) with weight 1285890658 (121.11/col)
  151. Thu Sep 11 17:47:47 2014 sparse part has weight 1037044829 (97.67/col)
  152. Thu Sep 11 17:50:35 2014 filtering completed in 3 passes
  153. Thu Sep 11 17:50:38 2014 matrix is 10606996 x 10607196 (4399.3 MB) with weight 1285200093 (121.16/col)
  154. Thu Sep 11 17:50:38 2014 sparse part has weight 1036581820 (97.72/col)
  155. Thu Sep 11 17:51:18 2014 matrix starts at (0, 0)
  156. Thu Sep 11 17:51:20 2014 matrix is 10606996 x 10607196 (4399.3 MB) with weight 1285200093 (121.16/col)
  157. Thu Sep 11 17:51:20 2014 sparse part has weight 1036581820 (97.72/col)
  158. Thu Sep 11 17:51:20 2014 saving the first 48 matrix rows for later
  159. Thu Sep 11 17:51:24 2014 matrix includes 64 packed rows
  160. Thu Sep 11 17:51:26 2014 matrix is 10606948 x 10607196 (4233.5 MB) with weight 1085952265 (102.38/col)
  161. Thu Sep 11 17:51:26 2014 sparse part has weight 1003709672 (94.63/col)
  162. Thu Sep 11 17:51:26 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  163. Thu Sep 11 17:52:26 2014 commencing Lanczos iteration (4 threads)
  164. Thu Sep 11 17:52:26 2014 memory use: 3544.9 MB
  165. Thu Sep 11 17:53:27 2014 linear algebra at 0.0%, ETA 110h24m
  166. Thu Sep 11 17:53:47 2014 checkpointing every 100000 dimensions
  167. Mon Sep 15 13:10:22 2014 lanczos halted after 167741 iterations (dim = 10606942)
  168. Mon Sep 15 13:10:45 2014 recovered 34 nontrivial dependencies
  169. Mon Sep 15 13:10:50 2014 BLanczosTime: 330089
  170. Mon Sep 15 13:10:50 2014
  171. Mon Sep 15 13:10:50 2014 commencing square root phase
  172. Mon Sep 15 13:10:50 2014 handling dependencies 1 to 64
  173. Mon Sep 15 13:10:50 2014 reading relations for dependency 1
  174. Mon Sep 15 13:10:53 2014 read 5303105 cycles
  175. Mon Sep 15 13:11:00 2014 cycles contain 16951664 unique relations
  176. Mon Sep 15 13:14:06 2014 read 16951664 relations
  177. Mon Sep 15 13:15:42 2014 multiplying 16951664 relations
  178. Mon Sep 15 13:44:32 2014 multiply complete, coefficients have about 618.93 million bits
  179. Mon Sep 15 13:44:39 2014 initial square root is modulo 357139
  180. Mon Sep 15 14:19:43 2014 sqrtTime: 4133
  181. Mon Sep 15 14:19:43 2014 prp88 factor: 1229181211256783532456105424311951957003782336757922948778898041952727344588487561131449
  182. Mon Sep 15 14:19:43 2014 prp122 factor: 29437568931055869616663350030336306362482066093333700749117926399399022787021904381727616483972300349043385650188711287347
  183. Mon Sep 15 14:19:43 2014 elapsed time 95:00:28
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