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C192_125_58

CarlosPinho Jun 5th, 2016 87 Never
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  1. Mon May 09 21:36:23 2016  
  2. Mon May 09 21:36:23 2016  
  3. Mon May 09 21:36:23 2016  Msieve v. 1.52 (SVN unknown)
  4. Mon May 09 21:36:23 2016  random seeds: 1f5cb340 8f84877c
  5. Mon May 09 21:36:23 2016  factoring 456708874484336577424759853910524679288885548779626938691613721280597052276329062879076342533907069641339374278067514892483673098735177369820067224034607835064762065489540889464405803654025657 (192 digits)
  6. Mon May 09 21:36:24 2016  no P-1/P+1/ECM available, skipping
  7. Mon May 09 21:36:24 2016  commencing number field sieve (192-digit input)
  8. Mon May 09 21:36:24 2016  R0: 10764351351569111513009094806216900608
  9. Mon May 09 21:36:24 2016  R1: -186264514923095703125
  10. Mon May 09 21:36:24 2016  A0: 58
  11. Mon May 09 21:36:24 2016  A1: 0
  12. Mon May 09 21:36:24 2016  A2: 0
  13. Mon May 09 21:36:24 2016  A3: 0
  14. Mon May 09 21:36:24 2016  A4: 0
  15. Mon May 09 21:36:24 2016  A5: 0
  16. Mon May 09 21:36:24 2016  A6: 1
  17. Mon May 09 21:36:24 2016  skew 1.97, size 3.982e-011, alpha 1.678, combined = 1.753e-012 rroots = 0
  18. Mon May 09 21:36:24 2016  
  19. Mon May 09 21:36:24 2016  commencing relation filtering
  20. Mon May 09 21:36:24 2016  setting target matrix density to 120.0
  21. Mon May 09 21:36:24 2016  estimated available RAM is 8098.7 MB
  22. Mon May 09 21:36:24 2016  commencing duplicate removal, pass 1
  23. Mon May 09 21:43:03 2016  error -15 reading relation 24263803
  24. Mon May 09 22:04:06 2016  error -9 reading relation 101961153
  25. Mon May 09 22:04:26 2016  error -1 reading relation 103238080
  26. Mon May 09 22:04:28 2016  error -9 reading relation 103316411
  27. Mon May 09 22:04:32 2016  error -9 reading relation 103571178
  28. Mon May 09 22:05:51 2016  error -15 reading relation 108660113
  29. Mon May 09 22:06:41 2016  error -15 reading relation 111754199
  30. Mon May 09 22:06:51 2016  error -9 reading relation 112348779
  31. Mon May 09 22:07:34 2016  skipped 1 relations with b > 2^32
  32. Mon May 09 22:07:34 2016  found 17645100 hash collisions in 115262834 relations
  33. Mon May 09 22:08:22 2016  added 1217996 free relations
  34. Mon May 09 22:08:22 2016  commencing duplicate removal, pass 2
  35. Mon May 09 22:10:36 2016  found 15235158 duplicates and 101245672 unique relations
  36. Mon May 09 22:10:36 2016  memory use: 660.8 MB
  37. Mon May 09 22:10:36 2016  reading ideals above 65994752
  38. Mon May 09 22:10:36 2016  commencing singleton removal, initial pass
  39. Mon May 09 22:40:46 2016  memory use: 2756.0 MB
  40. Mon May 09 22:40:46 2016  reading all ideals from disk
  41. Mon May 09 22:41:02 2016  memory use: 1745.5 MB
  42. Mon May 09 22:41:07 2016  commencing in-memory singleton removal
  43. Mon May 09 22:41:13 2016  begin with 101245672 relations and 82835376 unique ideals
  44. Mon May 09 22:42:00 2016  reduce to 66761141 relations and 44882069 ideals in 12 passes
  45. Mon May 09 22:42:00 2016  max relations containing the same ideal: 45
  46. Mon May 09 22:42:08 2016  reading ideals above 720000
  47. Mon May 09 22:42:08 2016  commencing singleton removal, initial pass
  48. Mon May 09 23:05:00 2016  memory use: 1378.0 MB
  49. Mon May 09 23:05:00 2016  reading all ideals from disk
  50. Mon May 09 23:05:23 2016  memory use: 2475.3 MB
  51. Mon May 09 23:05:32 2016  keeping 52333531 ideals with weight <= 200, target excess is 339626
  52. Mon May 09 23:05:42 2016  commencing in-memory singleton removal
  53. Mon May 09 23:05:50 2016  begin with 66761141 relations and 52333531 unique ideals
  54. Mon May 09 23:06:13 2016  reduce to 66761124 relations and 52333514 ideals in 3 passes
  55. Mon May 09 23:06:13 2016  max relations containing the same ideal: 200
  56. Mon May 09 23:06:54 2016  removing 8528386 relations and 6528386 ideals in 2000000 cliques
  57. Mon May 09 23:06:58 2016  commencing in-memory singleton removal
  58. Mon May 09 23:07:05 2016  begin with 58232738 relations and 52333514 unique ideals
  59. Mon May 09 23:08:04 2016  reduce to 57349687 relations and 44889273 ideals in 9 passes
  60. Mon May 09 23:08:04 2016  max relations containing the same ideal: 191
  61. Mon May 09 23:08:41 2016  removing 6819145 relations and 4819145 ideals in 2000000 cliques
  62. Mon May 09 23:08:44 2016  commencing in-memory singleton removal
  63. Mon May 09 23:08:49 2016  begin with 50530542 relations and 44889273 unique ideals
  64. Mon May 09 23:09:29 2016  reduce to 49907604 relations and 39425569 ideals in 7 passes
  65. Mon May 09 23:09:29 2016  max relations containing the same ideal: 173
  66. Mon May 09 23:10:01 2016  removing 6322030 relations and 4322030 ideals in 2000000 cliques
  67. Mon May 09 23:10:03 2016  commencing in-memory singleton removal
  68. Mon May 09 23:10:08 2016  begin with 43585574 relations and 39425569 unique ideals
  69. Mon May 09 23:10:42 2016  reduce to 43011616 relations and 34508400 ideals in 7 passes
  70. Mon May 09 23:10:42 2016  max relations containing the same ideal: 162
  71. Mon May 09 23:11:10 2016  removing 6079310 relations and 4079310 ideals in 2000000 cliques
  72. Mon May 09 23:11:12 2016  commencing in-memory singleton removal
  73. Mon May 09 23:11:16 2016  begin with 36932306 relations and 34508400 unique ideals
  74. Mon May 09 23:11:44 2016  reduce to 36353918 relations and 29826374 ideals in 7 passes
  75. Mon May 09 23:11:44 2016  max relations containing the same ideal: 140
  76. Mon May 09 23:12:08 2016  removing 5935868 relations and 3935868 ideals in 2000000 cliques
  77. Mon May 09 23:12:10 2016  commencing in-memory singleton removal
  78. Mon May 09 23:12:13 2016  begin with 30418050 relations and 29826374 unique ideals
  79. Mon May 09 23:12:35 2016  reduce to 29801181 relations and 25243959 ideals in 7 passes
  80. Mon May 09 23:12:35 2016  max relations containing the same ideal: 122
  81. Mon May 09 23:12:55 2016  removing 5829331 relations and 3829331 ideals in 2000000 cliques
  82. Mon May 09 23:12:57 2016  commencing in-memory singleton removal
  83. Mon May 09 23:13:00 2016  begin with 23971850 relations and 25243959 unique ideals
  84. Mon May 09 23:13:17 2016  reduce to 23284168 relations and 20686618 ideals in 7 passes
  85. Mon May 09 23:13:17 2016  max relations containing the same ideal: 103
  86. Mon May 09 23:13:32 2016  removing 5735627 relations and 3735627 ideals in 2000000 cliques
  87. Mon May 09 23:13:34 2016  commencing in-memory singleton removal
  88. Mon May 09 23:13:36 2016  begin with 17548541 relations and 20686618 unique ideals
  89. Mon May 09 23:13:51 2016  reduce to 16727168 relations and 16068127 ideals in 9 passes
  90. Mon May 09 23:13:51 2016  max relations containing the same ideal: 84
  91. Mon May 09 23:14:02 2016  removing 1120065 relations and 854991 ideals in 265074 cliques
  92. Mon May 09 23:14:02 2016  commencing in-memory singleton removal
  93. Mon May 09 23:14:04 2016  begin with 15607103 relations and 16068127 unique ideals
  94. Mon May 09 23:14:13 2016  reduce to 15548435 relations and 15153503 ideals in 6 passes
  95. Mon May 09 23:14:13 2016  max relations containing the same ideal: 80
  96. Mon May 09 23:14:26 2016  relations with 0 large ideals: 12430
  97. Mon May 09 23:14:26 2016  relations with 1 large ideals: 4938
  98. Mon May 09 23:14:26 2016  relations with 2 large ideals: 53627
  99. Mon May 09 23:14:26 2016  relations with 3 large ideals: 371158
  100. Mon May 09 23:14:26 2016  relations with 4 large ideals: 1387038
  101. Mon May 09 23:14:26 2016  relations with 5 large ideals: 3055683
  102. Mon May 09 23:14:26 2016  relations with 6 large ideals: 4170052
  103. Mon May 09 23:14:26 2016  relations with 7+ large ideals: 6493509
  104. Mon May 09 23:14:26 2016  commencing 2-way merge
  105. Mon May 09 23:14:39 2016  reduce to 10389846 relation sets and 9994913 unique ideals
  106. Mon May 09 23:14:39 2016  commencing full merge
  107. Mon May 09 23:20:53 2016  memory use: 1396.1 MB
  108. Mon May 09 23:20:55 2016  found 4720612 cycles, need 4709113
  109. Mon May 09 23:20:55 2016  weight of 4709113 cycles is about 565512238 (120.09/cycle)
  110. Mon May 09 23:20:55 2016  distribution of cycle lengths:
  111. Mon May 09 23:20:55 2016  1 relations: 130640
  112. Mon May 09 23:20:55 2016  2 relations: 244309
  113. Mon May 09 23:20:55 2016  3 relations: 311872
  114. Mon May 09 23:20:55 2016  4 relations: 334733
  115. Mon May 09 23:20:55 2016  5 relations: 353432
  116. Mon May 09 23:20:55 2016  6 relations: 354583
  117. Mon May 09 23:20:55 2016  7 relations: 349284
  118. Mon May 09 23:20:55 2016  8 relations: 334476
  119. Mon May 09 23:20:55 2016  9 relations: 315440
  120. Mon May 09 23:20:55 2016  10+ relations: 1980344
  121. Mon May 09 23:20:55 2016  heaviest cycle: 28 relations
  122. Mon May 09 23:20:56 2016  commencing cycle optimization
  123. Mon May 09 23:21:08 2016  start with 43522391 relations
  124. Mon May 09 23:24:04 2016  pruned 2202117 relations
  125. Mon May 09 23:24:04 2016  memory use: 1098.0 MB
  126. Mon May 09 23:24:04 2016  distribution of cycle lengths:
  127. Mon May 09 23:24:04 2016  1 relations: 130640
  128. Mon May 09 23:24:04 2016  2 relations: 250732
  129. Mon May 09 23:24:04 2016  3 relations: 325795
  130. Mon May 09 23:24:04 2016  4 relations: 350094
  131. Mon May 09 23:24:04 2016  5 relations: 373146
  132. Mon May 09 23:24:04 2016  6 relations: 373354
  133. Mon May 09 23:24:04 2016  7 relations: 369997
  134. Mon May 09 23:24:04 2016  8 relations: 353128
  135. Mon May 09 23:24:04 2016  9 relations: 332604
  136. Mon May 09 23:24:04 2016  10+ relations: 1849623
  137. Mon May 09 23:24:04 2016  heaviest cycle: 28 relations
  138. Mon May 09 23:24:12 2016  RelProcTime: 6468
  139. Mon May 09 23:24:12 2016  
  140. Mon May 09 23:24:12 2016  commencing linear algebra
  141. Mon May 09 23:24:13 2016  read 4709113 cycles
  142. Mon May 09 23:24:27 2016  cycles contain 15349544 unique relations
  143. Mon May 09 23:29:23 2016  read 15349544 relations
  144. Mon May 09 23:30:01 2016  using 20 quadratic characters above 1073740068
  145. Mon May 09 23:31:54 2016  building initial matrix
  146. Mon May 09 23:37:12 2016  memory use: 1915.6 MB
  147. Mon May 09 23:37:19 2016  read 4709113 cycles
  148. Mon May 09 23:37:21 2016  matrix is 4708936 x 4709113 (2196.5 MB) with weight 638094905 (135.50/col)
  149. Mon May 09 23:37:21 2016  sparse part has weight 524009793 (111.28/col)
  150. Mon May 09 23:38:52 2016  filtering completed in 2 passes
  151. Mon May 09 23:38:55 2016  matrix is 4708907 x 4709084 (2196.5 MB) with weight 638093939 (135.50/col)
  152. Mon May 09 23:38:55 2016  sparse part has weight 524009565 (111.28/col)
  153. Mon May 09 23:39:30 2016  matrix starts at (0, 0)
  154. Mon May 09 23:39:33 2016  matrix is 4708907 x 4709084 (2196.5 MB) with weight 638093939 (135.50/col)
  155. Mon May 09 23:39:33 2016  sparse part has weight 524009565 (111.28/col)
  156. Mon May 09 23:39:33 2016  saving the first 48 matrix rows for later
  157. Mon May 09 23:39:35 2016  matrix includes 64 packed rows
  158. Mon May 09 23:39:36 2016  matrix is 4708859 x 4709084 (2118.2 MB) with weight 549915731 (116.78/col)
  159. Mon May 09 23:39:36 2016  sparse part has weight 508174563 (107.91/col)
  160. Mon May 09 23:39:36 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  161. Mon May 09 23:40:20 2016  commencing Lanczos iteration (4 threads)
  162. Mon May 09 23:40:20 2016  memory use: 1776.7 MB
  163. Mon May 09 23:40:53 2016  linear algebra at 0.0%, ETA 26h46m
  164. Mon May 09 23:41:03 2016  checkpointing every 180000 dimensions
  165. Wed May 11 07:33:27 2016  lanczos halted after 74476 iterations (dim = 4708859)
  166. Wed May 11 07:33:40 2016  recovered 38 nontrivial dependencies
  167. Wed May 11 07:33:43 2016  BLanczosTime: 115771
  168. Wed May 11 07:33:43 2016  
  169. Wed May 11 07:33:43 2016  commencing square root phase
  170. Wed May 11 07:33:43 2016  handling dependencies 1 to 64
  171. Wed May 11 07:33:43 2016  reading relations for dependency 1
  172. Wed May 11 07:33:45 2016  read 2356546 cycles
  173. Wed May 11 07:33:51 2016  cycles contain 7676954 unique relations
  174. Wed May 11 07:36:32 2016  read 7676954 relations
  175. Wed May 11 07:37:32 2016  multiplying 7676954 relations
  176. Wed May 11 07:46:58 2016  multiply complete, coefficients have about 190.60 million bits
  177. Wed May 11 07:47:02 2016  initial square root is modulo 6921451
  178. Wed May 11 07:59:13 2016  GCD is N, no factor found
  179. Wed May 11 07:59:13 2016  reading relations for dependency 2
  180. Wed May 11 07:59:22 2016  read 2355074 cycles
  181. Wed May 11 07:59:28 2016  cycles contain 7676798 unique relations
  182. Wed May 11 08:02:11 2016  read 7676798 relations
  183. Wed May 11 08:03:11 2016  multiplying 7676798 relations
  184. Wed May 11 08:12:37 2016  multiply complete, coefficients have about 190.60 million bits
  185. Wed May 11 08:12:42 2016  initial square root is modulo 6918853
  186. Wed May 11 08:24:53 2016  GCD is N, no factor found
  187. Wed May 11 08:24:53 2016  reading relations for dependency 3
  188. Wed May 11 08:24:55 2016  read 2354358 cycles
  189. Wed May 11 08:25:01 2016  cycles contain 7676634 unique relations
  190. Wed May 11 08:27:42 2016  read 7676634 relations
  191. Wed May 11 08:28:42 2016  multiplying 7676634 relations
  192. Wed May 11 08:38:08 2016  multiply complete, coefficients have about 190.60 million bits
  193. Wed May 11 08:38:13 2016  initial square root is modulo 6917941
  194. Wed May 11 08:50:25 2016  sqrtTime: 4602
  195. Wed May 11 08:50:25 2016  prp58 factor: 2004568695855585378578421559385707909550321675288338363039
  196. Wed May 11 08:50:25 2016  prp135 factor: 227833985150309429025031185219360617529392083400994588687428553965659464339207205965390276897174227886480691278841996666363510806557863
  197. Wed May 11 08:50:25 2016  elapsed time 35:14:02
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