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7_289_minus_4_289

CarlosPinho Jun 4th, 2016 72 Never
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  1. Wed Jun  1 14:42:42 2016  
  2. Wed Jun  1 14:42:42 2016  
  3. Wed Jun  1 14:42:42 2016  Msieve v. 1.53 (SVN 988M)
  4. Wed Jun  1 14:42:42 2016  random seeds: 2fd8db25 829fbf7a
  5. Wed Jun  1 14:42:42 2016  factoring 32932022438549978617314143219062576372055587065526811262965766450251523643302463050333786808825561803203724601926739585131086997708069319632563975499273442021750383400451282773963201324989578602149761 (200 digits)
  6. Wed Jun  1 14:42:43 2016  searching for 15-digit factors
  7. Wed Jun  1 14:42:45 2016  commencing number field sieve (200-digit input)
  8. Wed Jun  1 14:42:45 2016  R0: 36703368217294125441230211032033660188801
  9. Wed Jun  1 14:42:45 2016  R1: -79228162514264337593543950336
  10. Wed Jun  1 14:42:45 2016  A0: -4
  11. Wed Jun  1 14:42:45 2016  A1: 0
  12. Wed Jun  1 14:42:45 2016  A2: 0
  13. Wed Jun  1 14:42:45 2016  A3: 0
  14. Wed Jun  1 14:42:45 2016  A4: 0
  15. Wed Jun  1 14:42:45 2016  A5: 0
  16. Wed Jun  1 14:42:45 2016  A6: 7
  17. Wed Jun  1 14:42:45 2016  skew 1.00, size 4.612e-12, alpha 1.422, combined = 3.614e-13 rroots = 2
  18. Wed Jun  1 14:42:45 2016  
  19. Wed Jun  1 14:42:45 2016  commencing relation filtering
  20. Wed Jun  1 14:42:45 2016  setting target matrix density to 130.0
  21. Wed Jun  1 14:42:45 2016  estimated available RAM is 65536.0 MB
  22. Wed Jun  1 14:42:45 2016  commencing duplicate removal, pass 1
  23. Wed Jun  1 14:51:56 2016  error -5 reading relation 66342989
  24. Wed Jun  1 14:59:19 2016  error -9 reading relation 118573383
  25. Wed Jun  1 15:05:53 2016  error -1 reading relation 164430843
  26. Wed Jun  1 15:06:35 2016  error -5 reading relation 169231660
  27. Wed Jun  1 15:07:37 2016  error -15 reading relation 176701060
  28. Wed Jun  1 15:07:46 2016  error -9 reading relation 177776295
  29. Wed Jun  1 15:08:16 2016  error -9 reading relation 181308158
  30. Wed Jun  1 15:08:18 2016  error -9 reading relation 181601851
  31. Wed Jun  1 15:08:18 2016  error -9 reading relation 181602639
  32. Wed Jun  1 15:08:36 2016  error -9 reading relation 183717195
  33. Wed Jun  1 15:12:57 2016  error -9 reading relation 214252325
  34. Wed Jun  1 15:13:54 2016  error -15 reading relation 220891981
  35. Wed Jun  1 15:13:57 2016  error -9 reading relation 221323382
  36. Wed Jun  1 15:14:36 2016  skipped 80 relations with b > 2^32
  37. Wed Jun  1 15:14:36 2016  skipped 23 relations with composite factors
  38. Wed Jun  1 15:14:36 2016  found 44419930 hash collisions in 225763555 relations
  39. Wed Jun  1 15:14:53 2016  added 1218581 free relations
  40. Wed Jun  1 15:14:53 2016  commencing duplicate removal, pass 2
  41. Wed Jun  1 15:18:51 2016  found 43904699 duplicates and 183077437 unique relations
  42. Wed Jun  1 15:18:51 2016  memory use: 1321.5 MB
  43. Wed Jun  1 15:18:51 2016  reading ideals above 720000
  44. Wed Jun  1 15:18:52 2016  commencing singleton removal, initial pass
  45. Wed Jun  1 15:43:45 2016  memory use: 5512.0 MB
  46. Wed Jun  1 15:43:45 2016  reading all ideals from disk
  47. Wed Jun  1 15:43:49 2016  memory use: 7187.9 MB
  48. Wed Jun  1 15:44:12 2016  keeping 171697391 ideals with weight <= 200, target excess is 928975
  49. Wed Jun  1 15:44:36 2016  commencing in-memory singleton removal
  50. Wed Jun  1 15:44:53 2016  begin with 183077437 relations and 171697391 unique ideals
  51. Wed Jun  1 15:47:42 2016  reduce to 111466198 relations and 92044271 ideals in 14 passes
  52. Wed Jun  1 15:47:42 2016  max relations containing the same ideal: 149
  53. Wed Jun  1 15:48:36 2016  removing 11355498 relations and 9355498 ideals in 2000000 cliques
  54. Wed Jun  1 15:48:40 2016  commencing in-memory singleton removal
  55. Wed Jun  1 15:48:50 2016  begin with 100110700 relations and 92044271 unique ideals
  56. Wed Jun  1 15:50:09 2016  reduce to 99263740 relations and 81822844 ideals in 8 passes
  57. Wed Jun  1 15:50:09 2016  max relations containing the same ideal: 139
  58. Wed Jun  1 15:50:58 2016  removing 8601018 relations and 6601018 ideals in 2000000 cliques
  59. Wed Jun  1 15:51:02 2016  commencing in-memory singleton removal
  60. Wed Jun  1 15:51:10 2016  begin with 90662722 relations and 81822844 unique ideals
  61. Wed Jun  1 15:52:21 2016  reduce to 90093801 relations and 74641726 ideals in 8 passes
  62. Wed Jun  1 15:52:21 2016  max relations containing the same ideal: 130
  63. Wed Jun  1 15:53:05 2016  removing 7784037 relations and 5784037 ideals in 2000000 cliques
  64. Wed Jun  1 15:53:08 2016  commencing in-memory singleton removal
  65. Wed Jun  1 15:53:15 2016  begin with 82309764 relations and 74641726 unique ideals
  66. Wed Jun  1 15:54:18 2016  reduce to 81799176 relations and 68336709 ideals in 8 passes
  67. Wed Jun  1 15:54:18 2016  max relations containing the same ideal: 125
  68. Wed Jun  1 15:54:59 2016  removing 7371724 relations and 5371724 ideals in 2000000 cliques
  69. Wed Jun  1 15:55:01 2016  commencing in-memory singleton removal
  70. Wed Jun  1 15:55:08 2016  begin with 74427452 relations and 68336709 unique ideals
  71. Wed Jun  1 15:56:04 2016  reduce to 73936543 relations and 62463456 ideals in 8 passes
  72. Wed Jun  1 15:56:04 2016  max relations containing the same ideal: 115
  73. Wed Jun  1 15:56:40 2016  removing 7123216 relations and 5123216 ideals in 2000000 cliques
  74. Wed Jun  1 15:56:42 2016  commencing in-memory singleton removal
  75. Wed Jun  1 15:56:48 2016  begin with 66813327 relations and 62463456 unique ideals
  76. Wed Jun  1 15:57:38 2016  reduce to 66324105 relations and 56839356 ideals in 8 passes
  77. Wed Jun  1 15:57:38 2016  max relations containing the same ideal: 105
  78. Wed Jun  1 15:58:10 2016  removing 6953270 relations and 4953271 ideals in 2000000 cliques
  79. Wed Jun  1 15:58:13 2016  commencing in-memory singleton removal
  80. Wed Jun  1 15:58:18 2016  begin with 59370835 relations and 56839356 unique ideals
  81. Wed Jun  1 15:58:56 2016  reduce to 58864851 relations and 51366900 ideals in 7 passes
  82. Wed Jun  1 15:58:56 2016  max relations containing the same ideal: 101
  83. Wed Jun  1 15:59:25 2016  removing 6834924 relations and 4834924 ideals in 2000000 cliques
  84. Wed Jun  1 15:59:28 2016  commencing in-memory singleton removal
  85. Wed Jun  1 15:59:32 2016  begin with 52029927 relations and 51366900 unique ideals
  86. Wed Jun  1 16:00:05 2016  reduce to 51490079 relations and 45976596 ideals in 7 passes
  87. Wed Jun  1 16:00:05 2016  max relations containing the same ideal: 93
  88. Wed Jun  1 16:00:30 2016  removing 6753844 relations and 4753844 ideals in 2000000 cliques
  89. Wed Jun  1 16:00:32 2016  commencing in-memory singleton removal
  90. Wed Jun  1 16:00:36 2016  begin with 44736235 relations and 45976596 unique ideals
  91. Wed Jun  1 16:01:08 2016  reduce to 44140640 relations and 40607604 ideals in 8 passes
  92. Wed Jun  1 16:01:08 2016  max relations containing the same ideal: 86
  93. Wed Jun  1 16:01:30 2016  removing 6705322 relations and 4705322 ideals in 2000000 cliques
  94. Wed Jun  1 16:01:32 2016  commencing in-memory singleton removal
  95. Wed Jun  1 16:01:35 2016  begin with 37435318 relations and 40607604 unique ideals
  96. Wed Jun  1 16:02:01 2016  reduce to 36746704 relations and 35186953 ideals in 8 passes
  97. Wed Jun  1 16:02:01 2016  max relations containing the same ideal: 73
  98. Wed Jun  1 16:02:19 2016  removing 2144032 relations and 1661893 ideals in 482140 cliques
  99. Wed Jun  1 16:02:21 2016  commencing in-memory singleton removal
  100. Wed Jun  1 16:02:23 2016  begin with 34602672 relations and 35186953 unique ideals
  101. Wed Jun  1 16:02:50 2016  reduce to 34518269 relations and 33439700 ideals in 9 passes
  102. Wed Jun  1 16:02:50 2016  max relations containing the same ideal: 70
  103. Wed Jun  1 16:03:11 2016  relations with 0 large ideals: 35547
  104. Wed Jun  1 16:03:11 2016  relations with 1 large ideals: 21712
  105. Wed Jun  1 16:03:11 2016  relations with 2 large ideals: 269771
  106. Wed Jun  1 16:03:11 2016  relations with 3 large ideals: 1527116
  107. Wed Jun  1 16:03:11 2016  relations with 4 large ideals: 4624233
  108. Wed Jun  1 16:03:11 2016  relations with 5 large ideals: 8289220
  109. Wed Jun  1 16:03:11 2016  relations with 6 large ideals: 9195334
  110. Wed Jun  1 16:03:11 2016  relations with 7+ large ideals: 10555336
  111. Wed Jun  1 16:03:11 2016  commencing 2-way merge
  112. Wed Jun  1 16:03:34 2016  reduce to 22626044 relation sets and 21547475 unique ideals
  113. Wed Jun  1 16:03:34 2016  commencing full merge
  114. Wed Jun  1 16:13:36 2016  memory use: 2842.5 MB
  115. Wed Jun  1 16:13:40 2016  found 9931065 cycles, need 9907675
  116. Wed Jun  1 16:13:41 2016  weight of 9907675 cycles is about 1288710258 (130.07/cycle)
  117. Wed Jun  1 16:13:41 2016  distribution of cycle lengths:
  118. Wed Jun  1 16:13:41 2016  1 relations: 341004
  119. Wed Jun  1 16:13:41 2016  2 relations: 509945
  120. Wed Jun  1 16:13:41 2016  3 relations: 617779
  121. Wed Jun  1 16:13:41 2016  4 relations: 649300
  122. Wed Jun  1 16:13:41 2016  5 relations: 677180
  123. Wed Jun  1 16:13:41 2016  6 relations: 677867
  124. Wed Jun  1 16:13:41 2016  7 relations: 667993
  125. Wed Jun  1 16:13:41 2016  8 relations: 654588
  126. Wed Jun  1 16:13:41 2016  9 relations: 623865
  127. Wed Jun  1 16:13:41 2016  10+ relations: 4488154
  128. Wed Jun  1 16:13:41 2016  heaviest cycle: 28 relations
  129. Wed Jun  1 16:13:44 2016  commencing cycle optimization
  130. Wed Jun  1 16:14:08 2016  start with 95773841 relations
  131. Wed Jun  1 16:18:59 2016  pruned 4753112 relations
  132. Wed Jun  1 16:18:59 2016  memory use: 2413.6 MB
  133. Wed Jun  1 16:18:59 2016  distribution of cycle lengths:
  134. Wed Jun  1 16:18:59 2016  1 relations: 341004
  135. Wed Jun  1 16:18:59 2016  2 relations: 523008
  136. Wed Jun  1 16:18:59 2016  3 relations: 644890
  137. Wed Jun  1 16:18:59 2016  4 relations: 677974
  138. Wed Jun  1 16:18:59 2016  5 relations: 713539
  139. Wed Jun  1 16:18:59 2016  6 relations: 713232
  140. Wed Jun  1 16:18:59 2016  7 relations: 707619
  141. Wed Jun  1 16:18:59 2016  8 relations: 689011
  142. Wed Jun  1 16:18:59 2016  9 relations: 657262
  143. Wed Jun  1 16:18:59 2016  10+ relations: 4240136
  144. Wed Jun  1 16:18:59 2016  heaviest cycle: 28 relations
  145. Wed Jun  1 16:19:27 2016  RelProcTime: 5802
  146. Wed Jun  1 16:19:27 2016  
  147. Wed Jun  1 16:19:27 2016  commencing linear algebra
  148. Wed Jun  1 16:19:29 2016  read 9907675 cycles
  149. Wed Jun  1 16:19:53 2016  cycles contain 33965433 unique relations
  150. Wed Jun  1 16:25:32 2016  read 33965433 relations
  151. Wed Jun  1 16:26:47 2016  using 20 quadratic characters above 4294917295
  152. Wed Jun  1 16:29:06 2016  building initial matrix
  153. Wed Jun  1 16:36:28 2016  memory use: 4228.0 MB
  154. Wed Jun  1 16:36:39 2016  read 9907675 cycles
  155. Wed Jun  1 16:36:40 2016  matrix is 9907498 x 9907675 (4959.7 MB) with weight 1411693337 (142.48/col)
  156. Wed Jun  1 16:36:40 2016  sparse part has weight 1191167755 (120.23/col)
  157. Wed Jun  1 16:39:16 2016  filtering completed in 2 passes
  158. Wed Jun  1 16:39:18 2016  matrix is 9907409 x 9907586 (4959.7 MB) with weight 1411690013 (142.49/col)
  159. Wed Jun  1 16:39:18 2016  sparse part has weight 1191166451 (120.23/col)
  160. Wed Jun  1 16:41:47 2016  matrix starts at (0, 0)
  161. Wed Jun  1 16:41:48 2016  matrix is 9907409 x 9907586 (4959.7 MB) with weight 1411690013 (142.49/col)
  162. Wed Jun  1 16:41:48 2016  sparse part has weight 1191166451 (120.23/col)
  163. Wed Jun  1 16:41:48 2016  saving the first 48 matrix rows for later
  164. Wed Jun  1 16:41:50 2016  matrix includes 64 packed rows
  165. Wed Jun  1 16:41:51 2016  matrix is 9907361 x 9907586 (4735.9 MB) with weight 1227021994 (123.85/col)
  166. Wed Jun  1 16:41:51 2016  sparse part has weight 1142404816 (115.31/col)
  167. Wed Jun  1 16:41:51 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  168. Wed Jun  1 16:43:03 2016  commencing Lanczos iteration (8 threads)
  169. Wed Jun  1 16:43:03 2016  memory use: 4039.3 MB
  170. Wed Jun  1 16:43:29 2016  linear algebra at 0.0%, ETA 43h44m
  171. Wed Jun  1 16:43:37 2016  checkpointing every 230000 dimensions
  172. Thu Jun  2 16:38:10 2016  
  173. Thu Jun  2 16:38:10 2016  
  174. Thu Jun  2 16:38:10 2016  Msieve v. 1.53 (SVN 988M)
  175. Thu Jun  2 16:38:10 2016  random seeds: c9ba18e0 f334d053
  176. Thu Jun  2 16:38:10 2016  factoring 32932022438549978617314143219062576372055587065526811262965766450251523643302463050333786808825561803203724601926739585131086997708069319632563975499273442021750383400451282773963201324989578602149761 (200 digits)
  177. Thu Jun  2 16:38:10 2016  searching for 15-digit factors
  178. Thu Jun  2 16:38:12 2016  commencing number field sieve (200-digit input)
  179. Thu Jun  2 16:38:12 2016  R0: 36703368217294125441230211032033660188801
  180. Thu Jun  2 16:38:12 2016  R1: -79228162514264337593543950336
  181. Thu Jun  2 16:38:12 2016  A0: -4
  182. Thu Jun  2 16:38:12 2016  A1: 0
  183. Thu Jun  2 16:38:12 2016  A2: 0
  184. Thu Jun  2 16:38:12 2016  A3: 0
  185. Thu Jun  2 16:38:12 2016  A4: 0
  186. Thu Jun  2 16:38:12 2016  A5: 0
  187. Thu Jun  2 16:38:12 2016  A6: 7
  188. Thu Jun  2 16:38:12 2016  skew 1.00, size 4.612e-12, alpha 1.422, combined = 3.614e-13 rroots = 2
  189. Thu Jun  2 16:38:12 2016  
  190. Thu Jun  2 16:38:12 2016  commencing linear algebra
  191. Thu Jun  2 16:40:05 2016  matrix starts at (0, 0)
  192. Thu Jun  2 16:40:06 2016  matrix is 9907409 x 9907586 (4959.7 MB) with weight 1411690013 (142.49/col)
  193. Thu Jun  2 16:40:06 2016  sparse part has weight 1191166451 (120.23/col)
  194. Thu Jun  2 16:40:06 2016  saving the first 48 matrix rows for later
  195. Thu Jun  2 16:40:08 2016  matrix includes 64 packed rows
  196. Thu Jun  2 16:40:09 2016  matrix is 9907361 x 9907586 (4735.9 MB) with weight 1227021994 (123.85/col)
  197. Thu Jun  2 16:40:09 2016  sparse part has weight 1142404816 (115.31/col)
  198. Thu Jun  2 16:40:09 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  199. Thu Jun  2 16:41:20 2016  commencing Lanczos iteration (8 threads)
  200. Thu Jun  2 16:41:20 2016  memory use: 4039.3 MB
  201. Thu Jun  2 16:41:30 2016  restarting at iteration 80014 (dim = 5060041)
  202. Thu Jun  2 16:41:53 2016  linear algebra at 51.1%, ETA 20h22m
  203. Thu Jun  2 16:42:00 2016  checkpointing every 240000 dimensions
  204. Fri Jun  3 13:23:46 2016  lanczos halted after 156672 iterations (dim = 9907357)
  205. Fri Jun  3 13:23:58 2016  recovered 40 nontrivial dependencies
  206. Fri Jun  3 13:24:03 2016  BLanczosTime: 74751
  207. Fri Jun  3 13:24:03 2016  
  208. Fri Jun  3 13:24:03 2016  commencing square root phase
  209. Fri Jun  3 13:24:03 2016  reading relations for dependency 1
  210. Fri Jun  3 13:24:12 2016  read 4954618 cycles
  211. Fri Jun  3 13:24:24 2016  cycles contain 16983700 unique relations
  212. Fri Jun  3 13:29:23 2016  read 16983700 relations
  213. Fri Jun  3 13:30:41 2016  multiplying 16983700 relations
  214. Fri Jun  3 13:44:42 2016  multiply complete, coefficients have about 469.04 million bits
  215. Fri Jun  3 13:44:45 2016  initial square root is modulo 260618329
  216. Fri Jun  3 13:58:51 2016  sqrtTime: 2088
  217. Fri Jun  3 13:58:51 2016  p87 factor: 427657092217233502222603875612192855067386311288503319784492166147200295083060604294493
  218. Fri Jun  3 13:58:51 2016  p113 factor: 77005673559183642531624647797025109465162352151928078952929785939824459966139898086785785878713184097337671746677
  219. Fri Jun  3 13:58:51 2016  elapsed time 21:20:41
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