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1847_71_minus1

vang0001 Jan 15th, 2016 71 Never
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  1. Sun Jan 10 06:13:31 2016  
  2. Sun Jan 10 06:13:31 2016  
  3. Sun Jan 10 06:13:31 2016  Msieve v. 1.52 (SVN unknown)
  4. Sun Jan 10 06:13:31 2016  random seeds: eaabe28c 9bab1f7b
  5. Sun Jan 10 06:13:31 2016  factoring 63337297800396764956308988624417582773523574423377454689156987202966969371473228606926599704461039647293118588576287243073314073489001791230431240521174260685039948561942428587408048306046095170428554216365582603477645200246047 (227 digits)
  6. Sun Jan 10 06:13:33 2016  no P-1/P+1/ECM available, skipping
  7. Sun Jan 10 06:13:33 2016  commencing number field sieve (227-digit input)
  8. Sun Jan 10 06:13:33 2016  R0: -1576168868285824995273531615704972483041
  9. Sun Jan 10 06:13:33 2016  R1: 1
  10. Sun Jan 10 06:13:33 2016  A0: -1847
  11. Sun Jan 10 06:13:33 2016  A1: 0
  12. Sun Jan 10 06:13:33 2016  A2: 0
  13. Sun Jan 10 06:13:33 2016  A3: 0
  14. Sun Jan 10 06:13:33 2016  A4: 0
  15. Sun Jan 10 06:13:33 2016  A5: 0
  16. Sun Jan 10 06:13:33 2016  A6: 1
  17. Sun Jan 10 06:13:33 2016  skew 1.00, size 7.589e-012, alpha 1.406, combined = 4.682e-013 rroots = 2
  18. Sun Jan 10 06:13:33 2016  
  19. Sun Jan 10 06:13:33 2016  commencing relation filtering
  20. Sun Jan 10 06:13:33 2016  setting target matrix density to 98.0
  21. Sun Jan 10 06:13:33 2016  estimated available RAM is 8098.7 MB
  22. Sun Jan 10 06:13:33 2016  commencing duplicate removal, pass 1
  23. Sun Jan 10 06:15:22 2016  error -1 reading relation 6071188
  24. Sun Jan 10 06:15:30 2016  error -9 reading relation 6587438
  25. Sun Jan 10 06:20:02 2016  error -1 reading relation 22730636
  26. Sun Jan 10 06:27:44 2016  error -15 reading relation 50747909
  27. Sun Jan 10 06:27:54 2016  error -15 reading relation 51435538
  28. Sun Jan 10 06:28:59 2016  error -15 reading relation 55516883
  29. Sun Jan 10 06:29:56 2016  error -11 reading relation 59271641
  30. Sun Jan 10 06:30:22 2016  error -15 reading relation 61106877
  31. Sun Jan 10 06:30:22 2016  error -9 reading relation 61107101
  32. Sun Jan 10 06:30:24 2016  error -5 reading relation 61237067
  33. Sun Jan 10 06:30:24 2016  error -9 reading relation 61266428
  34. Sun Jan 10 06:31:56 2016  error -9 reading relation 66687947
  35. Sun Jan 10 06:32:05 2016  error -9 reading relation 67218596
  36. Sun Jan 10 06:32:06 2016  error -9 reading relation 67293318
  37. Sun Jan 10 06:34:06 2016  error -15 reading relation 74405936
  38. Sun Jan 10 06:34:46 2016  error -15 reading relation 76762400
  39. Sun Jan 10 06:34:46 2016  error -9 reading relation 76792113
  40. Sun Jan 10 06:34:54 2016  error -15 reading relation 77235733
  41. Sun Jan 10 06:34:57 2016  error -1 reading relation 77441679
  42. Sun Jan 10 06:34:58 2016  error -15 reading relation 77491176
  43. Sun Jan 10 06:35:06 2016  error -15 reading relation 77972584
  44. Sun Jan 10 06:35:08 2016  error -15 reading relation 78064272
  45. Sun Jan 10 06:35:14 2016  error -15 reading relation 78400786
  46. Sun Jan 10 06:35:56 2016  error -15 reading relation 80920334
  47. Sun Jan 10 06:37:02 2016  error -15 reading relation 85354816
  48. Sun Jan 10 06:37:33 2016  error -5 reading relation 87336679
  49. Sun Jan 10 06:37:36 2016  error -9 reading relation 87581807
  50. Sun Jan 10 06:37:36 2016  error -15 reading relation 87595858
  51. Sun Jan 10 06:37:50 2016  error -9 reading relation 88407879
  52. Sun Jan 10 06:37:51 2016  error -9 reading relation 88498837
  53. Sun Jan 10 06:37:54 2016  error -9 reading relation 88683256
  54. Sun Jan 10 06:37:54 2016  error -5 reading relation 88683353
  55. Sun Jan 10 06:40:00 2016  error -15 reading relation 96130967
  56. Sun Jan 10 06:40:00 2016  error -9 reading relation 96131574
  57. Sun Jan 10 06:40:21 2016  error -5 reading relation 97393816
  58. Sun Jan 10 06:40:28 2016  error -9 reading relation 97851099
  59. Sun Jan 10 06:40:36 2016  error -15 reading relation 98414334
  60. Sun Jan 10 06:40:36 2016  error -15 reading relation 98417674
  61. Sun Jan 10 06:40:36 2016  error -1 reading relation 98417675
  62. Sun Jan 10 06:40:36 2016  error -9 reading relation 98418830
  63. Sun Jan 10 06:40:44 2016  error -9 reading relation 98978235
  64. Sun Jan 10 06:40:46 2016  error -15 reading relation 99103366
  65. Sun Jan 10 06:42:43 2016  skipped 3 relations with b > 2^32
  66. Sun Jan 10 06:42:43 2016  found 20837184 hash collisions in 104590639 relations
  67. Sun Jan 10 06:43:19 2016  commencing duplicate removal, pass 2
  68. Sun Jan 10 06:45:56 2016  found 20935098 duplicates and 83655541 unique relations
  69. Sun Jan 10 06:45:56 2016  memory use: 660.8 MB
  70. Sun Jan 10 06:45:56 2016  reading ideals above 77398016
  71. Sun Jan 10 06:45:56 2016  commencing singleton removal, initial pass
  72. Sun Jan 10 07:11:32 2016  memory use: 1506.0 MB
  73. Sun Jan 10 07:11:32 2016  reading all ideals from disk
  74. Sun Jan 10 07:11:49 2016  memory use: 1539.4 MB
  75. Sun Jan 10 07:11:53 2016  commencing in-memory singleton removal
  76. Sun Jan 10 07:11:57 2016  begin with 83655541 relations and 78098976 unique ideals
  77. Sun Jan 10 07:12:40 2016  reduce to 43355607 relations and 32437017 ideals in 17 passes
  78. Sun Jan 10 07:12:40 2016  max relations containing the same ideal: 29
  79. Sun Jan 10 07:12:45 2016  reading ideals above 720000
  80. Sun Jan 10 07:12:46 2016  commencing singleton removal, initial pass
  81. Sun Jan 10 07:28:10 2016  memory use: 1378.0 MB
  82. Sun Jan 10 07:28:10 2016  reading all ideals from disk
  83. Sun Jan 10 07:28:24 2016  memory use: 1650.9 MB
  84. Sun Jan 10 07:28:30 2016  keeping 41260942 ideals with weight <= 200, target excess is 226414
  85. Sun Jan 10 07:28:36 2016  commencing in-memory singleton removal
  86. Sun Jan 10 07:28:42 2016  begin with 43355607 relations and 41260942 unique ideals
  87. Sun Jan 10 07:29:29 2016  reduce to 43335205 relations and 41240525 ideals in 9 passes
  88. Sun Jan 10 07:29:29 2016  max relations containing the same ideal: 200
  89. Sun Jan 10 07:29:56 2016  removing 3544241 relations and 3144241 ideals in 400000 cliques
  90. Sun Jan 10 07:29:58 2016  commencing in-memory singleton removal
  91. Sun Jan 10 07:30:03 2016  begin with 39790964 relations and 41240525 unique ideals
  92. Sun Jan 10 07:30:46 2016  reduce to 39553479 relations and 37855679 ideals in 9 passes
  93. Sun Jan 10 07:30:46 2016  max relations containing the same ideal: 196
  94. Sun Jan 10 07:31:11 2016  removing 2617363 relations and 2217363 ideals in 400000 cliques
  95. Sun Jan 10 07:31:13 2016  commencing in-memory singleton removal
  96. Sun Jan 10 07:31:17 2016  begin with 36936116 relations and 37855679 unique ideals
  97. Sun Jan 10 07:31:57 2016  reduce to 36795568 relations and 35496205 ideals in 9 passes
  98. Sun Jan 10 07:31:57 2016  max relations containing the same ideal: 188
  99. Sun Jan 10 07:32:20 2016  removing 2322319 relations and 1922319 ideals in 400000 cliques
  100. Sun Jan 10 07:32:22 2016  commencing in-memory singleton removal
  101. Sun Jan 10 07:32:26 2016  begin with 34473249 relations and 35496205 unique ideals
  102. Sun Jan 10 07:32:55 2016  reduce to 34356146 relations and 33455492 ideals in 7 passes
  103. Sun Jan 10 07:32:55 2016  max relations containing the same ideal: 180
  104. Sun Jan 10 07:33:17 2016  removing 2163015 relations and 1763015 ideals in 400000 cliques
  105. Sun Jan 10 07:33:18 2016  commencing in-memory singleton removal
  106. Sun Jan 10 07:33:22 2016  begin with 32193131 relations and 33455492 unique ideals
  107. Sun Jan 10 07:33:56 2016  reduce to 32086071 relations and 31584241 ideals in 9 passes
  108. Sun Jan 10 07:33:56 2016  max relations containing the same ideal: 172
  109. Sun Jan 10 07:34:16 2016  removing 1339424 relations and 1100235 ideals in 239189 cliques
  110. Sun Jan 10 07:34:17 2016  commencing in-memory singleton removal
  111. Sun Jan 10 07:34:21 2016  begin with 30746647 relations and 31584241 unique ideals
  112. Sun Jan 10 07:34:50 2016  reduce to 30705402 relations and 30442504 ideals in 8 passes
  113. Sun Jan 10 07:34:50 2016  max relations containing the same ideal: 168
  114. Sun Jan 10 07:35:18 2016  relations with 0 large ideals: 8507
  115. Sun Jan 10 07:35:18 2016  relations with 1 large ideals: 1355
  116. Sun Jan 10 07:35:18 2016  relations with 2 large ideals: 12010
  117. Sun Jan 10 07:35:18 2016  relations with 3 large ideals: 123855
  118. Sun Jan 10 07:35:18 2016  relations with 4 large ideals: 725230
  119. Sun Jan 10 07:35:18 2016  relations with 5 large ideals: 2568525
  120. Sun Jan 10 07:35:18 2016  relations with 6 large ideals: 5736848
  121. Sun Jan 10 07:35:18 2016  relations with 7+ large ideals: 21529072
  122. Sun Jan 10 07:35:18 2016  commencing 2-way merge
  123. Sun Jan 10 07:35:47 2016  reduce to 19714763 relation sets and 19451865 unique ideals
  124. Sun Jan 10 07:35:47 2016  commencing full merge
  125. Sun Jan 10 07:46:51 2016  memory use: 2544.3 MB
  126. Sun Jan 10 07:46:54 2016  found 9384492 cycles, need 9376065
  127. Sun Jan 10 07:46:55 2016  weight of 9376065 cycles is about 919330677 (98.05/cycle)
  128. Sun Jan 10 07:46:55 2016  distribution of cycle lengths:
  129. Sun Jan 10 07:46:55 2016  1 relations: 708741
  130. Sun Jan 10 07:46:55 2016  2 relations: 872638
  131. Sun Jan 10 07:46:55 2016  3 relations: 916789
  132. Sun Jan 10 07:46:55 2016  4 relations: 865422
  133. Sun Jan 10 07:46:55 2016  5 relations: 804844
  134. Sun Jan 10 07:46:55 2016  6 relations: 717575
  135. Sun Jan 10 07:46:55 2016  7 relations: 647308
  136. Sun Jan 10 07:46:55 2016  8 relations: 574260
  137. Sun Jan 10 07:46:55 2016  9 relations: 504053
  138. Sun Jan 10 07:46:55 2016  10+ relations: 2764435
  139. Sun Jan 10 07:46:55 2016  heaviest cycle: 28 relations
  140. Sun Jan 10 07:46:57 2016  commencing cycle optimization
  141. Sun Jan 10 07:47:16 2016  start with 69812855 relations
  142. Sun Jan 10 07:51:23 2016  pruned 2376730 relations
  143. Sun Jan 10 07:51:23 2016  memory use: 1997.3 MB
  144. Sun Jan 10 07:51:23 2016  distribution of cycle lengths:
  145. Sun Jan 10 07:51:23 2016  1 relations: 708741
  146. Sun Jan 10 07:51:23 2016  2 relations: 892504
  147. Sun Jan 10 07:51:23 2016  3 relations: 954207
  148. Sun Jan 10 07:51:23 2016  4 relations: 893881
  149. Sun Jan 10 07:51:23 2016  5 relations: 832223
  150. Sun Jan 10 07:51:23 2016  6 relations: 736608
  151. Sun Jan 10 07:51:23 2016  7 relations: 663606
  152. Sun Jan 10 07:51:23 2016  8 relations: 582065
  153. Sun Jan 10 07:51:23 2016  9 relations: 509539
  154. Sun Jan 10 07:51:23 2016  10+ relations: 2602691
  155. Sun Jan 10 07:51:23 2016  heaviest cycle: 28 relations
  156. Sun Jan 10 07:51:48 2016  RelProcTime: 5895
  157. Sun Jan 10 07:51:48 2016  
  158. Sun Jan 10 07:51:48 2016  commencing linear algebra
  159. Sun Jan 10 07:51:51 2016  read 9376065 cycles
  160. Sun Jan 10 07:52:15 2016  cycles contain 30513920 unique relations
  161. Sun Jan 10 08:01:14 2016  read 30513920 relations
  162. Sun Jan 10 08:02:27 2016  using 20 quadratic characters above 1073741048
  163. Sun Jan 10 08:06:10 2016  building initial matrix
  164. Sun Jan 10 08:15:08 2016  memory use: 3894.3 MB
  165. Sun Jan 10 08:15:44 2016  read 9376065 cycles
  166. Sun Jan 10 08:15:49 2016  matrix is 9375888 x 9376065 (3728.6 MB) with weight 1086035381 (115.83/col)
  167. Sun Jan 10 08:15:49 2016  sparse part has weight 874294299 (93.25/col)
  168. Sun Jan 10 08:18:33 2016  filtering completed in 2 passes
  169. Sun Jan 10 08:18:37 2016  matrix is 9375640 x 9375817 (3728.6 MB) with weight 1086027655 (115.83/col)
  170. Sun Jan 10 08:18:37 2016  sparse part has weight 874292473 (93.25/col)
  171. Sun Jan 10 08:20:39 2016  matrix starts at (0, 0)
  172. Sun Jan 10 08:20:44 2016  matrix is 9375640 x 9375817 (3728.6 MB) with weight 1086027655 (115.83/col)
  173. Sun Jan 10 08:20:44 2016  sparse part has weight 874292473 (93.25/col)
  174. Sun Jan 10 08:20:44 2016  saving the first 48 matrix rows for later
  175. Sun Jan 10 08:20:48 2016  matrix includes 64 packed rows
  176. Sun Jan 10 08:20:50 2016  matrix is 9375592 x 9375817 (3587.3 MB) with weight 910882527 (97.15/col)
  177. Sun Jan 10 08:20:50 2016  sparse part has weight 846625598 (90.30/col)
  178. Sun Jan 10 08:20:50 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  179. Sun Jan 10 08:22:11 2016  commencing Lanczos iteration (4 threads)
  180. Sun Jan 10 08:22:11 2016  memory use: 3019.5 MB
  181. Sun Jan 10 08:23:14 2016  linear algebra at 0.0%, ETA 102h47m
  182. Sun Jan 10 08:23:34 2016  checkpointing every 100000 dimensions
  183. Mon Jan 11 12:04:05 2016  
  184. Mon Jan 11 12:04:05 2016  
  185. Mon Jan 11 12:04:05 2016  Msieve v. 1.52 (SVN unknown)
  186. Mon Jan 11 12:04:05 2016  random seeds: 1f3a608c bd9c09cc
  187. Mon Jan 11 12:04:05 2016  factoring 63337297800396764956308988624417582773523574423377454689156987202966969371473228606926599704461039647293118588576287243073314073489001791230431240521174260685039948561942428587408048306046095170428554216365582603477645200246047 (227 digits)
  188. Mon Jan 11 12:04:07 2016  no P-1/P+1/ECM available, skipping
  189. Mon Jan 11 12:04:07 2016  commencing number field sieve (227-digit input)
  190. Mon Jan 11 12:04:07 2016  R0: -1576168868285824995273531615704972483041
  191. Mon Jan 11 12:04:07 2016  R1: 1
  192. Mon Jan 11 12:04:07 2016  A0: -1847
  193. Mon Jan 11 12:04:07 2016  A1: 0
  194. Mon Jan 11 12:04:07 2016  A2: 0
  195. Mon Jan 11 12:04:07 2016  A3: 0
  196. Mon Jan 11 12:04:07 2016  A4: 0
  197. Mon Jan 11 12:04:07 2016  A5: 0
  198. Mon Jan 11 12:04:07 2016  A6: 1
  199. Mon Jan 11 12:04:07 2016  skew 1.00, size 7.589e-012, alpha 1.406, combined = 4.682e-013 rroots = 2
  200. Mon Jan 11 12:04:07 2016  
  201. Mon Jan 11 12:04:07 2016  commencing linear algebra
  202. Mon Jan 11 12:04:56 2016  matrix starts at (0, 0)
  203. Mon Jan 11 12:04:59 2016  matrix is 9375640 x 9375817 (3728.6 MB) with weight 1086027655 (115.83/col)
  204. Mon Jan 11 12:04:59 2016  sparse part has weight 874292473 (93.25/col)
  205. Mon Jan 11 12:04:59 2016  saving the first 48 matrix rows for later
  206. Mon Jan 11 12:05:02 2016  matrix includes 64 packed rows
  207. Mon Jan 11 12:05:04 2016  matrix is 9375592 x 9375817 (3587.3 MB) with weight 910882527 (97.15/col)
  208. Mon Jan 11 12:05:04 2016  sparse part has weight 846625598 (90.30/col)
  209. Mon Jan 11 12:05:04 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  210. Mon Jan 11 12:06:00 2016  commencing Lanczos iteration (4 threads)
  211. Mon Jan 11 12:06:00 2016  memory use: 3019.5 MB
  212. Mon Jan 11 12:06:06 2016  restarting at iteration 23723 (dim = 1500018)
  213. Mon Jan 11 12:06:50 2016  linear algebra at 16.0%, ETA 63h21m
  214. Mon Jan 11 12:07:05 2016  checkpointing every 130000 dimensions
  215. Fri Jan 15 10:54:59 2016  lanczos halted after 148263 iterations (dim = 9375592)
  216. Fri Jan 15 10:55:40 2016  recovered 38 nontrivial dependencies
  217. Fri Jan 15 10:55:45 2016  BLanczosTime: 341498
  218. Fri Jan 15 10:55:45 2016  
  219. Fri Jan 15 10:55:45 2016  commencing square root phase
  220. Fri Jan 15 10:55:45 2016  reading relations for dependency 1
  221. Fri Jan 15 10:55:49 2016  read 4687174 cycles
  222. Fri Jan 15 10:56:00 2016  cycles contain 15259866 unique relations
  223. Fri Jan 15 10:59:48 2016  read 15259866 relations
  224. Fri Jan 15 11:01:27 2016  multiplying 15259866 relations
  225. Fri Jan 15 11:16:45 2016  multiply complete, coefficients have about 390.75 million bits
  226. Fri Jan 15 11:16:51 2016  initial square root is modulo 10265071
  227. Fri Jan 15 11:36:01 2016  found factor: 860344312225890325626692969152005944727762796494291088905929
  228. Fri Jan 15 11:36:01 2016  reading relations for dependency 2
  229. Fri Jan 15 11:36:03 2016  read 4688990 cycles
  230. Fri Jan 15 11:36:12 2016  cycles contain 15262598 unique relations
  231. Fri Jan 15 11:39:40 2016  read 15262598 relations
  232. Fri Jan 15 11:41:18 2016  multiplying 15262598 relations
  233. Fri Jan 15 11:56:37 2016  multiply complete, coefficients have about 390.82 million bits
  234. Fri Jan 15 11:56:43 2016  initial square root is modulo 10292173
  235. Fri Jan 15 12:15:51 2016  GCD is 1, no factor found
  236. Fri Jan 15 12:15:51 2016  reading relations for dependency 3
  237. Fri Jan 15 12:16:09 2016  read 4688543 cycles
  238. Fri Jan 15 12:16:17 2016  cycles contain 15257700 unique relations
  239. Fri Jan 15 12:19:47 2016  read 15257700 relations
  240. Fri Jan 15 12:21:25 2016  multiplying 15257700 relations
  241. Fri Jan 15 12:36:45 2016  multiply complete, coefficients have about 390.69 million bits
  242. Fri Jan 15 12:36:51 2016  initial square root is modulo 10236769
  243. Fri Jan 15 12:56:03 2016  sqrtTime: 7218
  244. Fri Jan 15 12:56:03 2016  prp54 factor: 751675369654905088678231667221559046734934416341718309
  245. Fri Jan 15 12:56:03 2016  prp60 factor: 860344312225890325626692969152005944727762796494291088905929
  246. Fri Jan 15 12:56:03 2016  prp113 factor: 97939282732986918883657823741022254384311180414447883360700495089044693365385695961569969049390093405927645342427
  247. Fri Jan 15 12:56:03 2016  elapsed time 96:51:58
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