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C187_126_65

CarlosPinho Jun 5th, 2016 34 Never
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  1. Fri May 20 09:58:01 2016  Msieve v. 1.53 (SVN unknown)
  2. Fri May 20 09:58:01 2016  random seeds: 99ae5382 2b2432d7
  3. Fri May 20 09:58:01 2016  factoring 4974027147684696401506147450060800254203111161914509958424598187258477197617303016045224015915362861438875220192547801503352923274765798029464710973744207302790714919993957734279890281483 (187 digits)
  4. Fri May 20 09:58:02 2016  searching for 15-digit factors
  5. Fri May 20 09:58:03 2016  commencing number field sieve (187-digit input)
  6. Fri May 20 09:58:03 2016  R0: 117809547936177440979200839996337890625
  7. Fri May 20 09:58:03 2016  R1: -42359881993252060833792
  8. Fri May 20 09:58:03 2016  A0: 81
  9. Fri May 20 09:58:03 2016  A1: 0
  10. Fri May 20 09:58:03 2016  A2: 0
  11. Fri May 20 09:58:03 2016  A3: 0
  12. Fri May 20 09:58:03 2016  A4: 0
  13. Fri May 20 09:58:03 2016  A5: 0
  14. Fri May 20 09:58:03 2016  A6: 14
  15. Fri May 20 09:58:03 2016  skew 1.34, size 1.969e-11, alpha 0.070, combined = 1.057e-12 rroots = 0
  16. Fri May 20 09:58:03 2016  
  17. Fri May 20 09:58:03 2016  commencing relation filtering
  18. Fri May 20 09:58:03 2016  setting target matrix density to 120.0
  19. Fri May 20 09:58:03 2016  estimated available RAM is 16031.0 MB
  20. Fri May 20 09:58:03 2016  commencing duplicate removal, pass 1
  21. Fri May 20 09:58:52 2016  error -5 reading relation 5964798
  22. Fri May 20 10:01:12 2016  error -9 reading relation 24192008
  23. Fri May 20 10:01:46 2016  error -9 reading relation 29085297
  24. Fri May 20 10:06:44 2016  error -15 reading relation 72719594
  25. Fri May 20 10:07:22 2016  error -9 reading relation 78363111
  26. Fri May 20 10:07:57 2016  error -9 reading relation 83521212
  27. Fri May 20 10:08:06 2016  error -15 reading relation 84882364
  28. Fri May 20 10:08:11 2016  error -15 reading relation 85552554
  29. Fri May 20 10:08:13 2016  error -15 reading relation 85910954
  30. Fri May 20 10:10:12 2016  error -1 reading relation 103474507
  31. Fri May 20 10:10:36 2016  error -9 reading relation 106926729
  32. Fri May 20 10:10:40 2016  error -5 reading relation 107549991
  33. Fri May 20 10:11:24 2016  skipped 4 relations with b > 2^32
  34. Fri May 20 10:11:24 2016  skipped 4 relations with composite factors
  35. Fri May 20 10:11:24 2016  found 19520670 hash collisions in 112987817 relations
  36. Fri May 20 10:11:35 2016  commencing duplicate removal, pass 2
  37. Fri May 20 10:12:05 2016  found 18117423 duplicates and 94870394 unique relations
  38. Fri May 20 10:12:05 2016  memory use: 660.8 MB
  39. Fri May 20 10:12:05 2016  reading ideals above 83951616
  40. Fri May 20 10:12:05 2016  commencing singleton removal, initial pass
  41. Fri May 20 10:20:01 2016  memory use: 1506.0 MB
  42. Fri May 20 10:20:01 2016  reading all ideals from disk
  43. Fri May 20 10:20:04 2016  memory use: 1584.5 MB
  44. Fri May 20 10:20:07 2016  commencing in-memory singleton removal
  45. Fri May 20 10:20:09 2016  begin with 94870394 relations and 79917608 unique ideals
  46. Fri May 20 10:20:43 2016  reduce to 58522191 relations and 39554370 ideals in 17 passes
  47. Fri May 20 10:20:43 2016  max relations containing the same ideal: 33
  48. Fri May 20 10:20:45 2016  reading ideals above 720000
  49. Fri May 20 10:20:45 2016  commencing singleton removal, initial pass
  50. Fri May 20 10:27:25 2016  memory use: 1378.0 MB
  51. Fri May 20 10:27:26 2016  reading all ideals from disk
  52. Fri May 20 10:27:45 2016  memory use: 2196.7 MB
  53. Fri May 20 10:27:50 2016  keeping 49020891 ideals with weight <= 200, target excess is 301423
  54. Fri May 20 10:27:55 2016  commencing in-memory singleton removal
  55. Fri May 20 10:27:58 2016  begin with 58522191 relations and 49020891 unique ideals
  56. Fri May 20 10:28:28 2016  reduce to 58513254 relations and 49011950 ideals in 8 passes
  57. Fri May 20 10:28:28 2016  max relations containing the same ideal: 200
  58. Fri May 20 10:28:47 2016  removing 5641178 relations and 4641179 ideals in 1000000 cliques
  59. Fri May 20 10:28:49 2016  commencing in-memory singleton removal
  60. Fri May 20 10:28:52 2016  begin with 52872076 relations and 49011950 unique ideals
  61. Fri May 20 10:29:17 2016  reduce to 52430144 relations and 43919155 ideals in 8 passes
  62. Fri May 20 10:29:17 2016  max relations containing the same ideal: 194
  63. Fri May 20 10:29:34 2016  removing 4377164 relations and 3377164 ideals in 1000000 cliques
  64. Fri May 20 10:29:36 2016  commencing in-memory singleton removal
  65. Fri May 20 10:29:39 2016  begin with 48052980 relations and 43919155 unique ideals
  66. Fri May 20 10:29:58 2016  reduce to 47763780 relations and 40247219 ideals in 7 passes
  67. Fri May 20 10:29:58 2016  max relations containing the same ideal: 183
  68. Fri May 20 10:30:14 2016  removing 3980335 relations and 2980335 ideals in 1000000 cliques
  69. Fri May 20 10:30:15 2016  commencing in-memory singleton removal
  70. Fri May 20 10:30:18 2016  begin with 43783445 relations and 40247219 unique ideals
  71. Fri May 20 10:30:36 2016  reduce to 43528604 relations and 37007067 ideals in 7 passes
  72. Fri May 20 10:30:36 2016  max relations containing the same ideal: 176
  73. Fri May 20 10:30:50 2016  removing 3769830 relations and 2769830 ideals in 1000000 cliques
  74. Fri May 20 10:30:51 2016  commencing in-memory singleton removal
  75. Fri May 20 10:30:54 2016  begin with 39758774 relations and 37007067 unique ideals
  76. Fri May 20 10:31:10 2016  reduce to 39512659 relations and 33986071 ideals in 7 passes
  77. Fri May 20 10:31:10 2016  max relations containing the same ideal: 166
  78. Fri May 20 10:31:23 2016  removing 3637145 relations and 2637145 ideals in 1000000 cliques
  79. Fri May 20 10:31:24 2016  commencing in-memory singleton removal
  80. Fri May 20 10:31:26 2016  begin with 35875514 relations and 33986071 unique ideals
  81. Fri May 20 10:31:38 2016  reduce to 35633941 relations and 31101931 ideals in 6 passes
  82. Fri May 20 10:31:38 2016  max relations containing the same ideal: 158
  83. Fri May 20 10:31:50 2016  removing 3548296 relations and 2548296 ideals in 1000000 cliques
  84. Fri May 20 10:31:51 2016  commencing in-memory singleton removal
  85. Fri May 20 10:31:53 2016  begin with 32085645 relations and 31101931 unique ideals
  86. Fri May 20 10:32:06 2016  reduce to 31835564 relations and 28297545 ideals in 7 passes
  87. Fri May 20 10:32:06 2016  max relations containing the same ideal: 143
  88. Fri May 20 10:32:16 2016  removing 3482763 relations and 2482763 ideals in 1000000 cliques
  89. Fri May 20 10:32:17 2016  commencing in-memory singleton removal
  90. Fri May 20 10:32:19 2016  begin with 28352801 relations and 28297545 unique ideals
  91. Fri May 20 10:32:31 2016  reduce to 28093353 relations and 25548204 ideals in 8 passes
  92. Fri May 20 10:32:31 2016  max relations containing the same ideal: 131
  93. Fri May 20 10:32:41 2016  removing 3434349 relations and 2434349 ideals in 1000000 cliques
  94. Fri May 20 10:32:42 2016  commencing in-memory singleton removal
  95. Fri May 20 10:32:43 2016  begin with 24659004 relations and 25548204 unique ideals
  96. Fri May 20 10:32:52 2016  reduce to 24379826 relations and 22826343 ideals in 7 passes
  97. Fri May 20 10:32:52 2016  max relations containing the same ideal: 115
  98. Fri May 20 10:33:00 2016  removing 3396765 relations and 2396765 ideals in 1000000 cliques
  99. Fri May 20 10:33:00 2016  commencing in-memory singleton removal
  100. Fri May 20 10:33:01 2016  begin with 20983061 relations and 22826343 unique ideals
  101. Fri May 20 10:33:09 2016  reduce to 20670741 relations and 20106509 ideals in 7 passes
  102. Fri May 20 10:33:09 2016  max relations containing the same ideal: 104
  103. Fri May 20 10:33:15 2016  removing 977182 relations and 762601 ideals in 214581 cliques
  104. Fri May 20 10:33:16 2016  commencing in-memory singleton removal
  105. Fri May 20 10:33:17 2016  begin with 19693559 relations and 20106509 unique ideals
  106. Fri May 20 10:33:23 2016  reduce to 19664953 relations and 19315037 ideals in 6 passes
  107. Fri May 20 10:33:23 2016  max relations containing the same ideal: 100
  108. Fri May 20 10:33:32 2016  relations with 0 large ideals: 11307
  109. Fri May 20 10:33:32 2016  relations with 1 large ideals: 2893
  110. Fri May 20 10:33:32 2016  relations with 2 large ideals: 33271
  111. Fri May 20 10:33:32 2016  relations with 3 large ideals: 263474
  112. Fri May 20 10:33:32 2016  relations with 4 large ideals: 1154038
  113. Fri May 20 10:33:32 2016  relations with 5 large ideals: 3017850
  114. Fri May 20 10:33:32 2016  relations with 6 large ideals: 4917287
  115. Fri May 20 10:33:32 2016  relations with 7+ large ideals: 10264833
  116. Fri May 20 10:33:32 2016  commencing 2-way merge
  117. Fri May 20 10:33:40 2016  reduce to 13054761 relation sets and 12704845 unique ideals
  118. Fri May 20 10:33:40 2016  commencing full merge
  119. Fri May 20 10:37:44 2016  memory use: 1765.6 MB
  120. Fri May 20 10:37:45 2016  found 5938079 cycles, need 5929045
  121. Fri May 20 10:37:47 2016  weight of 5929045 cycles is about 711837906 (120.06/cycle)
  122. Fri May 20 10:37:47 2016  distribution of cycle lengths:
  123. Fri May 20 10:37:47 2016  1 relations: 196761
  124. Fri May 20 10:37:47 2016  2 relations: 338220
  125. Fri May 20 10:37:47 2016  3 relations: 413395
  126. Fri May 20 10:37:47 2016  4 relations: 433660
  127. Fri May 20 10:37:47 2016  5 relations: 443075
  128. Fri May 20 10:37:47 2016  6 relations: 439936
  129. Fri May 20 10:37:47 2016  7 relations: 429689
  130. Fri May 20 10:37:47 2016  8 relations: 413152
  131. Fri May 20 10:37:47 2016  9 relations: 386302
  132. Fri May 20 10:37:47 2016  10+ relations: 2434855
  133. Fri May 20 10:37:47 2016  heaviest cycle: 28 relations
  134. Fri May 20 10:37:48 2016  commencing cycle optimization
  135. Fri May 20 10:37:57 2016  start with 53690031 relations
  136. Fri May 20 10:39:32 2016  pruned 2562381 relations
  137. Fri May 20 10:39:32 2016  memory use: 1376.7 MB
  138. Fri May 20 10:39:32 2016  distribution of cycle lengths:
  139. Fri May 20 10:39:32 2016  1 relations: 196761
  140. Fri May 20 10:39:32 2016  2 relations: 346885
  141. Fri May 20 10:39:32 2016  3 relations: 431574
  142. Fri May 20 10:39:32 2016  4 relations: 452072
  143. Fri May 20 10:39:32 2016  5 relations: 466077
  144. Fri May 20 10:39:32 2016  6 relations: 461750
  145. Fri May 20 10:39:32 2016  7 relations: 452350
  146. Fri May 20 10:39:32 2016  8 relations: 433129
  147. Fri May 20 10:39:32 2016  9 relations: 404566
  148. Fri May 20 10:39:32 2016  10+ relations: 2283881
  149. Fri May 20 10:39:32 2016  heaviest cycle: 28 relations
  150. Fri May 20 10:39:40 2016  RelProcTime: 2497
  151. Fri May 20 10:39:40 2016  
  152. Fri May 20 10:39:40 2016  commencing linear algebra
  153. Fri May 20 10:39:42 2016  read 5929045 cycles
  154. Fri May 20 10:39:53 2016  cycles contain 19493075 unique relations
  155. Fri May 20 10:41:56 2016  read 19493075 relations
  156. Fri May 20 10:42:16 2016  using 20 quadratic characters above 4294917295
  157. Fri May 20 10:43:26 2016  building initial matrix
  158. Fri May 20 10:46:37 2016  memory use: 2501.5 MB
  159. Fri May 20 10:46:40 2016  read 5929045 cycles
  160. Fri May 20 10:46:40 2016  matrix is 5928868 x 5929045 (2771.0 MB) with weight 794012427 (133.92/col)
  161. Fri May 20 10:46:40 2016  sparse part has weight 661177800 (111.52/col)
  162. Fri May 20 10:47:39 2016  filtering completed in 2 passes
  163. Fri May 20 10:47:40 2016  matrix is 5928840 x 5929017 (2771.0 MB) with weight 794011469 (133.92/col)
  164. Fri May 20 10:47:40 2016  sparse part has weight 661177546 (111.52/col)
  165. Fri May 20 10:48:05 2016  matrix starts at (0, 0)
  166. Fri May 20 10:48:05 2016  matrix is 5928840 x 5929017 (2771.0 MB) with weight 794011469 (133.92/col)
  167. Fri May 20 10:48:05 2016  sparse part has weight 661177546 (111.52/col)
  168. Fri May 20 10:48:05 2016  saving the first 48 matrix rows for later
  169. Fri May 20 10:48:06 2016  matrix includes 64 packed rows
  170. Fri May 20 10:48:07 2016  matrix is 5928792 x 5929017 (2642.7 MB) with weight 680370223 (114.75/col)
  171. Fri May 20 10:48:07 2016  sparse part has weight 633471705 (106.84/col)
  172. Fri May 20 10:48:07 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  173. Fri May 20 10:48:27 2016  commencing Lanczos iteration (4 threads)
  174. Fri May 20 10:48:27 2016  memory use: 2224.9 MB
  175. Fri May 20 10:48:49 2016  linear algebra at 0.0%, ETA 22h41m
  176. Fri May 20 10:48:55 2016  checkpointing every 280000 dimensions
  177. Sat May 21 06:54:25 2016  lanczos halted after 93756 iterations (dim = 5928788)
  178. Sat May 21 06:54:33 2016  recovered 37 nontrivial dependencies
  179. Sat May 21 06:54:33 2016  BLanczosTime: 72893
  180. Sat May 21 06:54:33 2016  
  181. Sat May 21 06:54:33 2016  commencing square root phase
  182. Sat May 21 06:54:33 2016  handling dependencies 1 to 64
  183. Sat May 21 06:54:33 2016  reading relations for dependency 1
  184. Sat May 21 06:54:34 2016  read 2962706 cycles
  185. Sat May 21 06:54:38 2016  cycles contain 9742690 unique relations
  186. Sat May 21 06:57:08 2016  read 9742690 relations
  187. Sat May 21 06:57:38 2016  multiplying 9742690 relations
  188. Sat May 21 07:03:12 2016  multiply complete, coefficients have about 277.91 million bits
  189. Sat May 21 07:03:13 2016  initial square root is modulo 96979
  190. Sat May 21 07:09:27 2016  GCD is 1, no factor found
  191. Sat May 21 07:09:27 2016  reading relations for dependency 2
  192. Sat May 21 07:09:27 2016  read 2961259 cycles
  193. Sat May 21 07:09:31 2016  cycles contain 9738280 unique relations
  194. Sat May 21 07:12:02 2016  read 9738280 relations
  195. Sat May 21 07:12:32 2016  multiplying 9738280 relations
  196. Sat May 21 07:18:04 2016  multiply complete, coefficients have about 277.79 million bits
  197. Sat May 21 07:18:05 2016  initial square root is modulo 96517
  198. Sat May 21 07:24:18 2016  GCD is N, no factor found
  199. Sat May 21 07:24:18 2016  reading relations for dependency 3
  200. Sat May 21 07:24:19 2016  read 2964975 cycles
  201. Sat May 21 07:24:23 2016  cycles contain 9746664 unique relations
  202. Sat May 21 07:25:25 2016  read 9746664 relations
  203. Sat May 21 07:25:55 2016  multiplying 9746664 relations
  204. Sat May 21 07:31:29 2016  multiply complete, coefficients have about 278.03 million bits
  205. Sat May 21 07:31:30 2016  initial square root is modulo 97549
  206. Sat May 21 07:38:06 2016  sqrtTime: 2613
  207. Sat May 21 07:38:06 2016  p90 factor: 810406676214506475247677124672360986478477658211372863130811366697935266195515047748382877
  208. Sat May 21 07:38:06 2016  p97 factor: 6137692708701379913619130322836683344307775883786585354424778013126326743476265731895989528404679
  209. Sat May 21 07:38:06 2016  elapsed time 21:40:05
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