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12_229_minus_5_229

mersenneforum Apr 18th, 2016 138 Never
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  1. Thu Apr 14 21:04:42 2016  
  2. Thu Apr 14 21:04:42 2016  
  3. Thu Apr 14 21:04:42 2016  Msieve v. 1.53 (SVN 988M)
  4. Thu Apr 14 21:04:42 2016  random seeds: 7537744c 31246e8c
  5. Thu Apr 14 21:04:42 2016  factoring 9026758253264279863115441975392561376839343742648262003051575528586485108342863495525907735733775353020799973743375317769692736235682980904614612282289562746036073763799547934552186478561811076743 (196 digits)
  6. Thu Apr 14 21:04:43 2016  searching for 15-digit factors
  7. Thu Apr 14 21:04:44 2016  commencing number field sieve (196-digit input)
  8. Thu Apr 14 21:04:44 2016  R0: 102067469997853225734913580209377959215104
  9. Thu Apr 14 21:04:44 2016  R1: -363797880709171295166015625
  10. Thu Apr 14 21:04:44 2016  A0: -5
  11. Thu Apr 14 21:04:44 2016  A1: 0
  12. Thu Apr 14 21:04:44 2016  A2: 0
  13. Thu Apr 14 21:04:44 2016  A3: 0
  14. Thu Apr 14 21:04:44 2016  A4: 0
  15. Thu Apr 14 21:04:44 2016  A5: 0
  16. Thu Apr 14 21:04:44 2016  A6: 12
  17. Thu Apr 14 21:04:44 2016  skew 1.00, size 4.940e-12, alpha -0.248, combined = 3.744e-13 rroots = 2
  18. Thu Apr 14 21:04:44 2016  
  19. Thu Apr 14 21:04:44 2016  commencing relation filtering
  20. Thu Apr 14 21:04:44 2016  setting target matrix density to 120.0
  21. Thu Apr 14 21:04:44 2016  estimated available RAM is 65536.0 MB
  22. Thu Apr 14 21:04:44 2016  commencing duplicate removal, pass 1
  23. Thu Apr 14 21:27:52 2016  error -9 reading relation 168261916
  24. Thu Apr 14 21:29:08 2016  error -9 reading relation 177196030
  25. Thu Apr 14 21:29:46 2016  error -9 reading relation 181573437
  26. Thu Apr 14 21:29:53 2016  error -15 reading relation 182381480
  27. Thu Apr 14 21:29:53 2016  error -9 reading relation 182438078
  28. Thu Apr 14 21:29:57 2016  error -9 reading relation 182863847
  29. Thu Apr 14 21:31:44 2016  error -9 reading relation 195624920
  30. Thu Apr 14 21:32:06 2016  error -1 reading relation 198272364
  31. Thu Apr 14 21:32:10 2016  error -5 reading relation 198751265
  32. Thu Apr 14 21:32:28 2016  error -15 reading relation 200972032
  33. Thu Apr 14 21:32:28 2016  error -9 reading relation 200988987
  34. Thu Apr 14 21:33:14 2016  error -15 reading relation 206620301
  35. Thu Apr 14 21:33:19 2016  error -9 reading relation 207119140
  36. Thu Apr 14 21:33:22 2016  error -9 reading relation 207497574
  37. Thu Apr 14 21:33:45 2016  error -9 reading relation 210354250
  38. Thu Apr 14 21:33:59 2016  error -9 reading relation 212009627
  39. Thu Apr 14 21:34:13 2016  error -9 reading relation 213643258
  40. Thu Apr 14 21:34:56 2016  error -5 reading relation 218803546
  41. Thu Apr 14 21:34:56 2016  error -9 reading relation 218806732
  42. Thu Apr 14 21:35:33 2016  skipped 78 relations with b > 2^32
  43. Thu Apr 14 21:35:33 2016  skipped 11 relations with composite factors
  44. Thu Apr 14 21:35:33 2016  found 43165907 hash collisions in 223170599 relations
  45. Thu Apr 14 21:35:50 2016  added 1218252 free relations
  46. Thu Apr 14 21:35:50 2016  commencing duplicate removal, pass 2
  47. Thu Apr 14 21:39:39 2016  found 42340402 duplicates and 182048449 unique relations
  48. Thu Apr 14 21:39:39 2016  memory use: 1321.5 MB
  49. Thu Apr 14 21:39:39 2016  reading ideals above 720000
  50. Thu Apr 14 21:39:39 2016  commencing singleton removal, initial pass
  51. Thu Apr 14 22:04:25 2016  memory use: 5512.0 MB
  52. Thu Apr 14 22:04:25 2016  reading all ideals from disk
  53. Thu Apr 14 22:04:29 2016  memory use: 7138.0 MB
  54. Thu Apr 14 22:04:51 2016  keeping 171344168 ideals with weight <= 200, target excess is 922104
  55. Thu Apr 14 22:05:15 2016  commencing in-memory singleton removal
  56. Thu Apr 14 22:05:31 2016  begin with 182048449 relations and 171344168 unique ideals
  57. Thu Apr 14 22:08:46 2016  reduce to 109991553 relations and 91114416 ideals in 17 passes
  58. Thu Apr 14 22:08:46 2016  max relations containing the same ideal: 153
  59. Thu Apr 14 22:09:39 2016  removing 11406766 relations and 9406766 ideals in 2000000 cliques
  60. Thu Apr 14 22:09:43 2016  commencing in-memory singleton removal
  61. Thu Apr 14 22:09:51 2016  begin with 98584787 relations and 91114416 unique ideals
  62. Thu Apr 14 22:11:15 2016  reduce to 97714761 relations and 80817830 ideals in 9 passes
  63. Thu Apr 14 22:11:15 2016  max relations containing the same ideal: 142
  64. Thu Apr 14 22:12:01 2016  removing 8645995 relations and 6645995 ideals in 2000000 cliques
  65. Thu Apr 14 22:12:04 2016  commencing in-memory singleton removal
  66. Thu Apr 14 22:12:12 2016  begin with 89068766 relations and 80817830 unique ideals
  67. Thu Apr 14 22:13:18 2016  reduce to 88483243 relations and 73574325 ideals in 8 passes
  68. Thu Apr 14 22:13:18 2016  max relations containing the same ideal: 133
  69. Thu Apr 14 22:14:01 2016  removing 7828820 relations and 5828820 ideals in 2000000 cliques
  70. Thu Apr 14 22:14:03 2016  commencing in-memory singleton removal
  71. Thu Apr 14 22:14:10 2016  begin with 80654423 relations and 73574325 unique ideals
  72. Thu Apr 14 22:15:10 2016  reduce to 80129183 relations and 67209218 ideals in 8 passes
  73. Thu Apr 14 22:15:10 2016  max relations containing the same ideal: 123
  74. Thu Apr 14 22:15:48 2016  removing 7415617 relations and 5415617 ideals in 2000000 cliques
  75. Thu Apr 14 22:15:50 2016  commencing in-memory singleton removal
  76. Thu Apr 14 22:15:57 2016  begin with 72713566 relations and 67209218 unique ideals
  77. Thu Apr 14 22:16:49 2016  reduce to 72202172 relations and 61270856 ideals in 8 passes
  78. Thu Apr 14 22:16:49 2016  max relations containing the same ideal: 116
  79. Thu Apr 14 22:17:23 2016  removing 7164257 relations and 5164257 ideals in 2000000 cliques
  80. Thu Apr 14 22:17:25 2016  commencing in-memory singleton removal
  81. Thu Apr 14 22:17:31 2016  begin with 65037915 relations and 61270856 unique ideals
  82. Thu Apr 14 22:18:12 2016  reduce to 64524820 relations and 55581060 ideals in 7 passes
  83. Thu Apr 14 22:18:12 2016  max relations containing the same ideal: 108
  84. Thu Apr 14 22:18:43 2016  removing 7000763 relations and 5000763 ideals in 2000000 cliques
  85. Thu Apr 14 22:18:45 2016  commencing in-memory singleton removal
  86. Thu Apr 14 22:18:50 2016  begin with 57524057 relations and 55581060 unique ideals
  87. Thu Apr 14 22:19:32 2016  reduce to 56988498 relations and 50030493 ideals in 8 passes
  88. Thu Apr 14 22:19:32 2016  max relations containing the same ideal: 100
  89. Thu Apr 14 22:19:59 2016  removing 6891625 relations and 4891625 ideals in 2000000 cliques
  90. Thu Apr 14 22:20:02 2016  commencing in-memory singleton removal
  91. Thu Apr 14 22:20:06 2016  begin with 50096873 relations and 50030493 unique ideals
  92. Thu Apr 14 22:20:41 2016  reduce to 49522426 relations and 44547135 ideals in 8 passes
  93. Thu Apr 14 22:20:41 2016  max relations containing the same ideal: 87
  94. Thu Apr 14 22:21:05 2016  removing 6815094 relations and 4815094 ideals in 2000000 cliques
  95. Thu Apr 14 22:21:07 2016  commencing in-memory singleton removal
  96. Thu Apr 14 22:21:11 2016  begin with 42707332 relations and 44547135 unique ideals
  97. Thu Apr 14 22:21:40 2016  reduce to 42068468 relations and 39071151 ideals in 8 passes
  98. Thu Apr 14 22:21:40 2016  max relations containing the same ideal: 81
  99. Thu Apr 14 22:22:00 2016  removing 6577550 relations and 4649874 ideals in 1927676 cliques
  100. Thu Apr 14 22:22:02 2016  commencing in-memory singleton removal
  101. Thu Apr 14 22:22:05 2016  begin with 35490918 relations and 39071151 unique ideals
  102. Thu Apr 14 22:22:29 2016  reduce to 34782038 relations and 33684746 ideals in 8 passes
  103. Thu Apr 14 22:22:29 2016  max relations containing the same ideal: 70
  104. Thu Apr 14 22:22:45 2016  removing 196689 relations and 169038 ideals in 27651 cliques
  105. Thu Apr 14 22:22:46 2016  commencing in-memory singleton removal
  106. Thu Apr 14 22:22:48 2016  begin with 34585349 relations and 33684746 unique ideals
  107. Thu Apr 14 22:23:03 2016  reduce to 34584657 relations and 33515015 ideals in 5 passes
  108. Thu Apr 14 22:23:03 2016  max relations containing the same ideal: 69
  109. Thu Apr 14 22:23:09 2016  relations with 0 large ideals: 35371
  110. Thu Apr 14 22:23:09 2016  relations with 1 large ideals: 21060
  111. Thu Apr 14 22:23:09 2016  relations with 2 large ideals: 266982
  112. Thu Apr 14 22:23:09 2016  relations with 3 large ideals: 1515169
  113. Thu Apr 14 22:23:09 2016  relations with 4 large ideals: 4607805
  114. Thu Apr 14 22:23:09 2016  relations with 5 large ideals: 8291821
  115. Thu Apr 14 22:23:09 2016  relations with 6 large ideals: 9226180
  116. Thu Apr 14 22:23:09 2016  relations with 7+ large ideals: 10620269
  117. Thu Apr 14 22:23:09 2016  commencing 2-way merge
  118. Thu Apr 14 22:23:32 2016  reduce to 22476245 relation sets and 21406603 unique ideals
  119. Thu Apr 14 22:23:32 2016  commencing full merge
  120. Thu Apr 14 22:32:45 2016  memory use: 2804.2 MB
  121. Thu Apr 14 22:32:50 2016  found 10099456 cycles, need 10050803
  122. Thu Apr 14 22:32:50 2016  weight of 10050803 cycles is about 1206508488 (120.04/cycle)
  123. Thu Apr 14 22:32:50 2016  distribution of cycle lengths:
  124. Thu Apr 14 22:32:50 2016  1 relations: 422372
  125. Thu Apr 14 22:32:50 2016  2 relations: 597440
  126. Thu Apr 14 22:32:50 2016  3 relations: 704306
  127. Thu Apr 14 22:32:50 2016  4 relations: 726239
  128. Thu Apr 14 22:32:50 2016  5 relations: 740677
  129. Thu Apr 14 22:32:50 2016  6 relations: 734986
  130. Thu Apr 14 22:32:50 2016  7 relations: 718307
  131. Thu Apr 14 22:32:50 2016  8 relations: 685869
  132. Thu Apr 14 22:32:50 2016  9 relations: 642881
  133. Thu Apr 14 22:32:50 2016  10+ relations: 4077726
  134. Thu Apr 14 22:32:50 2016  heaviest cycle: 28 relations
  135. Thu Apr 14 22:32:53 2016  commencing cycle optimization
  136. Thu Apr 14 22:33:17 2016  start with 90324812 relations
  137. Thu Apr 14 22:37:26 2016  pruned 4161066 relations
  138. Thu Apr 14 22:37:26 2016  memory use: 2358.6 MB
  139. Thu Apr 14 22:37:26 2016  distribution of cycle lengths:
  140. Thu Apr 14 22:37:26 2016  1 relations: 422372
  141. Thu Apr 14 22:37:26 2016  2 relations: 612712
  142. Thu Apr 14 22:37:26 2016  3 relations: 734655
  143. Thu Apr 14 22:37:26 2016  4 relations: 756991
  144. Thu Apr 14 22:37:26 2016  5 relations: 778771
  145. Thu Apr 14 22:37:26 2016  6 relations: 770883
  146. Thu Apr 14 22:37:26 2016  7 relations: 756455
  147. Thu Apr 14 22:37:26 2016  8 relations: 717871
  148. Thu Apr 14 22:37:26 2016  9 relations: 672388
  149. Thu Apr 14 22:37:26 2016  10+ relations: 3827705
  150. Thu Apr 14 22:37:26 2016  heaviest cycle: 28 relations
  151. Thu Apr 14 22:37:51 2016  RelProcTime: 5587
  152. Thu Apr 14 22:37:51 2016  
  153. Thu Apr 14 22:37:51 2016  commencing linear algebra
  154. Thu Apr 14 22:37:53 2016  read 10050803 cycles
  155. Thu Apr 14 22:38:16 2016  cycles contain 33983512 unique relations
  156. Thu Apr 14 22:43:39 2016  read 33983512 relations
  157. Thu Apr 14 22:44:51 2016  using 20 quadratic characters above 4294917295
  158. Thu Apr 14 22:47:09 2016  building initial matrix
  159. Thu Apr 14 22:54:07 2016  memory use: 4274.0 MB
  160. Thu Apr 14 22:54:17 2016  read 10050803 cycles
  161. Thu Apr 14 22:54:18 2016  matrix is 10050626 x 10050803 (4708.1 MB) with weight 1365712586 (135.88/col)
  162. Thu Apr 14 22:54:18 2016  sparse part has weight 1123631751 (111.80/col)
  163. Thu Apr 14 22:56:43 2016  filtering completed in 2 passes
  164. Thu Apr 14 22:56:44 2016  matrix is 10050294 x 10050471 (4708.0 MB) with weight 1365699541 (135.88/col)
  165. Thu Apr 14 22:56:44 2016  sparse part has weight 1123627214 (111.80/col)
  166. Thu Apr 14 22:59:03 2016  matrix starts at (0, 0)
  167. Thu Apr 14 22:59:04 2016  matrix is 10050294 x 10050471 (4708.0 MB) with weight 1365699541 (135.88/col)
  168. Thu Apr 14 22:59:04 2016  sparse part has weight 1123627214 (111.80/col)
  169. Thu Apr 14 22:59:04 2016  saving the first 48 matrix rows for later
  170. Thu Apr 14 22:59:06 2016  matrix includes 64 packed rows
  171. Thu Apr 14 22:59:07 2016  matrix is 10050246 x 10050471 (4509.9 MB) with weight 1168871438 (116.30/col)
  172. Thu Apr 14 22:59:07 2016  sparse part has weight 1081745138 (107.63/col)
  173. Thu Apr 14 22:59:07 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  174. Thu Apr 14 23:00:15 2016  commencing Lanczos iteration (8 threads)
  175. Thu Apr 14 23:00:15 2016  memory use: 3839.9 MB
  176. Thu Apr 14 23:00:39 2016  linear algebra at 0.0%, ETA 42h14m
  177. Thu Apr 14 23:00:47 2016  checkpointing every 240000 dimensions
  178. Sat Apr 16 23:51:07 2016  lanczos halted after 158942 iterations (dim = 10050244)
  179. Sat Apr 16 23:51:27 2016  recovered 39 nontrivial dependencies
  180. Sat Apr 16 23:51:31 2016  BLanczosTime: 177220
  181. Sat Apr 16 23:51:31 2016  
  182. Sat Apr 16 23:51:31 2016  commencing square root phase
  183. Sat Apr 16 23:51:31 2016  handling dependencies 1 to 64
  184. Sat Apr 16 23:51:31 2016  reading relations for dependency 1
  185. Sat Apr 16 23:51:39 2016  read 5025698 cycles
  186. Sat Apr 16 23:51:49 2016  cycles contain 16995408 unique relations
  187. Sat Apr 16 23:56:51 2016  read 16995408 relations
  188. Sat Apr 16 23:58:07 2016  multiplying 16995408 relations
  189. Sun Apr 17 00:11:40 2016  multiply complete, coefficients have about 481.70 million bits
  190. Sun Apr 17 00:11:44 2016  initial square root is modulo 439779499
  191. Sun Apr 17 00:25:39 2016  GCD is N, no factor found
  192. Sun Apr 17 00:25:40 2016  reading relations for dependency 2
  193. Sun Apr 17 00:25:43 2016  read 5024317 cycles
  194. Sun Apr 17 00:25:53 2016  cycles contain 16991672 unique relations
  195. Sun Apr 17 00:29:51 2016  read 16991672 relations
  196. Sun Apr 17 00:31:07 2016  multiplying 16991672 relations
  197. Sun Apr 17 00:44:39 2016  multiply complete, coefficients have about 481.59 million bits
  198. Sun Apr 17 00:44:42 2016  initial square root is modulo 437838517
  199. Sun Apr 17 00:58:40 2016  GCD is N, no factor found
  200. Sun Apr 17 00:58:41 2016  reading relations for dependency 3
  201. Sun Apr 17 00:58:44 2016  read 5027159 cycles
  202. Sun Apr 17 00:58:54 2016  cycles contain 17000344 unique relations
  203. Sun Apr 17 01:02:52 2016  read 17000344 relations
  204. Sun Apr 17 01:04:08 2016  multiplying 17000344 relations
  205. Sun Apr 17 01:17:39 2016  multiply complete, coefficients have about 481.84 million bits
  206. Sun Apr 17 01:17:42 2016  initial square root is modulo 442240819
  207. Sun Apr 17 01:31:34 2016  sqrtTime: 6003
  208. Sun Apr 17 01:31:36 2016  p54 factor: 166899360165107719355305084108136230882782779446251653
  209. Sun Apr 17 01:31:36 2016  p143 factor: 54085038099213936897717547570988411462479679630905647175799834507166631922484671800176541432216654671756084666033052112422530919362216167333531
  210. Sun Apr 17 01:31:36 2016  elapsed time 52:26:54
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Ledger Nano X - The secure hardware wallet
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