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C212_121_69

CarlosPinho Jun 1st, 2016 27 Never
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  1. Wed May 11 14:43:59 2016  Msieve v. 1.52 (SVN exported)
  2. Wed May 11 14:43:59 2016  random seeds: 9de3c8d1 72b5e133
  3. Wed May 11 14:43:59 2016  factoring 52005950444486360541630353496175857231126566568341121120198019860482939552749461058118018513040560336664739856635807613961909064228889372422405666073320778631330467303576413493019648812643331838994771024057025307 (212 digits)
  4. Wed May 11 14:44:02 2016  searching for 15-digit factors
  5. Wed May 11 14:44:05 2016  commencing number field sieve (212-digit input)
  6. Wed May 11 14:44:05 2016  R0: 17951596147147868016884023551016678803
  7. Wed May 11 14:44:05 2016  R1: -895430243255237372246531
  8. Wed May 11 14:44:05 2016  A0: 243
  9. Wed May 11 14:44:05 2016  A1: 0
  10. Wed May 11 14:44:05 2016  A2: 0
  11. Wed May 11 14:44:05 2016  A3: 0
  12. Wed May 11 14:44:05 2016  A4: 0
  13. Wed May 11 14:44:05 2016  A5: 0
  14. Wed May 11 14:44:05 2016  A6: 23
  15. Wed May 11 14:44:05 2016  skew 1.48, size 4.722e-11, alpha -1.856, combined = 1.968e-12 rroots = 0
  16. Wed May 11 14:44:05 2016  
  17. Wed May 11 14:44:05 2016  commencing relation filtering
  18. Wed May 11 14:44:05 2016  setting target matrix density to 120.0
  19. Wed May 11 14:44:05 2016  estimated available RAM is 64392.0 MB
  20. Wed May 11 14:44:05 2016  commencing duplicate removal, pass 1
  21. Wed May 11 14:57:11 2016  error -1 reading relation 39713805
  22. Wed May 11 15:02:29 2016  error -15 reading relation 55541687
  23. Wed May 11 15:09:27 2016  error -15 reading relation 75149454
  24. Wed May 11 15:09:28 2016  error -9 reading relation 75188005
  25. Wed May 11 15:09:50 2016  error -9 reading relation 76315029
  26. Wed May 11 15:15:15 2016  error -15 reading relation 91494509
  27. Wed May 11 15:15:40 2016  error -9 reading relation 92611393
  28. Wed May 11 15:17:27 2016  error -9 reading relation 97439354
  29. Wed May 11 15:17:29 2016  error -9 reading relation 97544472
  30. Wed May 11 15:18:20 2016  error -9 reading relation 99894892
  31. Wed May 11 15:18:20 2016  error -9 reading relation 99920983
  32. Wed May 11 15:18:23 2016  error -9 reading relation 100051010
  33. Wed May 11 15:19:24 2016  error -1 reading relation 103143096
  34. Wed May 11 15:19:29 2016  error -15 reading relation 103412452
  35. Wed May 11 15:19:29 2016  error -15 reading relation 103421413
  36. Wed May 11 15:19:30 2016  error -15 reading relation 103476083
  37. Wed May 11 15:19:30 2016  error -15 reading relation 103484846
  38. Wed May 11 15:21:09 2016  skipped 3 relations with b > 2^32
  39. Wed May 11 15:21:09 2016  found 14686649 hash collisions in 108052914 relations
  40. Wed May 11 15:21:45 2016  added 1218412 free relations
  41. Wed May 11 15:21:45 2016  commencing duplicate removal, pass 2
  42. Wed May 11 15:40:29 2016  found 12135761 duplicates and 97135565 unique relations
  43. Wed May 11 15:40:29 2016  memory use: 426.4 MB
  44. Wed May 11 15:40:29 2016  reading ideals above 720000
  45. Wed May 11 15:40:29 2016  commencing singleton removal, initial pass
  46. Wed May 11 16:14:25 2016  memory use: 2756.0 MB
  47. Wed May 11 16:14:25 2016  reading all ideals from disk
  48. Wed May 11 16:14:41 2016  memory use: 3577.2 MB
  49. Wed May 11 16:14:56 2016  keeping 88635201 ideals with weight <= 200, target excess is 482745
  50. Wed May 11 16:15:11 2016  commencing in-memory singleton removal
  51. Wed May 11 16:15:22 2016  begin with 97135565 relations and 88635201 unique ideals
  52. Wed May 11 16:17:05 2016  reduce to 61097293 relations and 48678640 ideals in 13 passes
  53. Wed May 11 16:17:05 2016  max relations containing the same ideal: 154
  54. Wed May 11 16:17:45 2016  removing 8766166 relations and 6766166 ideals in 2000000 cliques
  55. Wed May 11 16:17:49 2016  commencing in-memory singleton removal
  56. Wed May 11 16:17:56 2016  begin with 52331127 relations and 48678640 unique ideals
  57. Wed May 11 16:18:52 2016  reduce to 51295327 relations and 40834784 ideals in 8 passes
  58. Wed May 11 16:18:52 2016  max relations containing the same ideal: 137
  59. Wed May 11 16:19:26 2016  removing 6995392 relations and 4995392 ideals in 2000000 cliques
  60. Wed May 11 16:19:29 2016  commencing in-memory singleton removal
  61. Wed May 11 16:19:34 2016  begin with 44299935 relations and 40834784 unique ideals
  62. Wed May 11 16:20:13 2016  reduce to 43561260 relations and 35071716 ideals in 8 passes
  63. Wed May 11 16:20:13 2016  max relations containing the same ideal: 126
  64. Wed May 11 16:20:40 2016  removing 6475232 relations and 4475232 ideals in 2000000 cliques
  65. Wed May 11 16:20:43 2016  commencing in-memory singleton removal
  66. Wed May 11 16:20:47 2016  begin with 37086028 relations and 35071716 unique ideals
  67. Wed May 11 16:21:15 2016  reduce to 36388509 relations and 29869117 ideals in 7 passes
  68. Wed May 11 16:21:15 2016  max relations containing the same ideal: 111
  69. Wed May 11 16:21:37 2016  removing 6227657 relations and 4227657 ideals in 2000000 cliques
  70. Wed May 11 16:21:40 2016  commencing in-memory singleton removal
  71. Wed May 11 16:21:43 2016  begin with 30160852 relations and 29869117 unique ideals
  72. Wed May 11 16:22:08 2016  reduce to 29432956 relations and 24877694 ideals in 7 passes
  73. Wed May 11 16:22:08 2016  max relations containing the same ideal: 93
  74. Wed May 11 16:22:29 2016  removing 6076243 relations and 4076243 ideals in 2000000 cliques
  75. Wed May 11 16:22:32 2016  commencing in-memory singleton removal
  76. Wed May 11 16:22:34 2016  begin with 23356713 relations and 24877694 unique ideals
  77. Wed May 11 16:22:58 2016  reduce to 22540079 relations and 19934909 ideals in 10 passes
  78. Wed May 11 16:22:58 2016  max relations containing the same ideal: 77
  79. Wed May 11 16:23:11 2016  removing 5967018 relations and 3967018 ideals in 2000000 cliques
  80. Wed May 11 16:23:14 2016  commencing in-memory singleton removal
  81. Wed May 11 16:23:15 2016  begin with 16573061 relations and 19934909 unique ideals
  82. Wed May 11 16:23:29 2016  reduce to 15582849 relations and 14896933 ideals in 9 passes
  83. Wed May 11 16:23:29 2016  max relations containing the same ideal: 62
  84. Wed May 11 16:23:40 2016  removing 667136 relations and 541205 ideals in 125931 cliques
  85. Wed May 11 16:23:41 2016  commencing in-memory singleton removal
  86. Wed May 11 16:23:42 2016  begin with 14915713 relations and 14896933 unique ideals
  87. Wed May 11 16:23:52 2016  reduce to 14893296 relations and 14333108 ideals in 7 passes
  88. Wed May 11 16:23:52 2016  max relations containing the same ideal: 60
  89. Wed May 11 16:24:06 2016  relations with 0 large ideals: 17923
  90. Wed May 11 16:24:06 2016  relations with 1 large ideals: 11001
  91. Wed May 11 16:24:06 2016  relations with 2 large ideals: 126546
  92. Wed May 11 16:24:06 2016  relations with 3 large ideals: 714557
  93. Wed May 11 16:24:06 2016  relations with 4 large ideals: 2134318
  94. Wed May 11 16:24:06 2016  relations with 5 large ideals: 3715266
  95. Wed May 11 16:24:06 2016  relations with 6 large ideals: 3950940
  96. Wed May 11 16:24:06 2016  relations with 7+ large ideals: 4222745
  97. Wed May 11 16:24:06 2016  commencing 2-way merge
  98. Wed May 11 16:24:18 2016  reduce to 9641043 relation sets and 9080855 unique ideals
  99. Wed May 11 16:24:18 2016  commencing full merge
  100. Wed May 11 16:30:19 2016  memory use: 1246.2 MB
  101. Wed May 11 16:30:20 2016  found 4337616 cycles, need 4321055
  102. Wed May 11 16:30:22 2016  weight of 4321055 cycles is about 518809036 (120.07/cycle)
  103. Wed May 11 16:30:22 2016  distribution of cycle lengths:
  104. Wed May 11 16:30:22 2016  1 relations: 144713
  105. Wed May 11 16:30:22 2016  2 relations: 239788
  106. Wed May 11 16:30:22 2016  3 relations: 291859
  107. Wed May 11 16:30:22 2016  4 relations: 303195
  108. Wed May 11 16:30:22 2016  5 relations: 313465
  109. Wed May 11 16:30:22 2016  6 relations: 312134
  110. Wed May 11 16:30:22 2016  7 relations: 304737
  111. Wed May 11 16:30:22 2016  8 relations: 292147
  112. Wed May 11 16:30:22 2016  9 relations: 274980
  113. Wed May 11 16:30:22 2016  10+ relations: 1844037
  114. Wed May 11 16:30:22 2016  heaviest cycle: 28 relations
  115. Wed May 11 16:30:24 2016  commencing cycle optimization
  116. Wed May 11 16:30:36 2016  start with 40472463 relations
  117. Wed May 11 16:32:57 2016  pruned 1985045 relations
  118. Wed May 11 16:32:57 2016  memory use: 1031.8 MB
  119. Wed May 11 16:32:57 2016  distribution of cycle lengths:
  120. Wed May 11 16:32:57 2016  1 relations: 144713
  121. Wed May 11 16:32:57 2016  2 relations: 245902
  122. Wed May 11 16:32:57 2016  3 relations: 304449
  123. Wed May 11 16:32:57 2016  4 relations: 316864
  124. Wed May 11 16:32:57 2016  5 relations: 329829
  125. Wed May 11 16:32:57 2016  6 relations: 328591
  126. Wed May 11 16:32:57 2016  7 relations: 321776
  127. Wed May 11 16:32:57 2016  8 relations: 307266
  128. Wed May 11 16:32:57 2016  9 relations: 289064
  129. Wed May 11 16:32:57 2016  10+ relations: 1732601
  130. Wed May 11 16:32:57 2016  heaviest cycle: 28 relations
  131. Wed May 11 16:33:07 2016  RelProcTime: 6542
  132. Wed May 11 16:33:07 2016  elapsed time 01:49:08
  133. Wed May 11 22:10:58 2016  
  134. Wed May 11 22:10:58 2016  
  135. Wed May 11 22:10:58 2016  Msieve v. 1.52 (SVN exported)
  136. Wed May 11 22:10:58 2016  random seeds: ad3cdc64 a907dc63
  137. Wed May 11 22:10:58 2016  factoring 52005950444486360541630353496175857231126566568341121120198019860482939552749461058118018513040560336664739856635807613961909064228889372422405666073320778631330467303576413493019648812643331838994771024057025307 (212 digits)
  138. Wed May 11 22:11:00 2016  searching for 15-digit factors
  139. Wed May 11 22:11:02 2016  commencing number field sieve (212-digit input)
  140. Wed May 11 22:11:02 2016  R0: 17951596147147868016884023551016678803
  141. Wed May 11 22:11:02 2016  R1: -895430243255237372246531
  142. Wed May 11 22:11:02 2016  A0: 243
  143. Wed May 11 22:11:02 2016  A1: 0
  144. Wed May 11 22:11:02 2016  A2: 0
  145. Wed May 11 22:11:02 2016  A3: 0
  146. Wed May 11 22:11:02 2016  A4: 0
  147. Wed May 11 22:11:02 2016  A5: 0
  148. Wed May 11 22:11:02 2016  A6: 23
  149. Wed May 11 22:11:02 2016  skew 1.48, size 4.722e-11, alpha -1.856, combined = 1.968e-12 rroots = 0
  150. Wed May 11 22:11:02 2016  
  151. Wed May 11 22:11:02 2016  commencing linear algebra
  152. Wed May 11 22:11:03 2016  read 4321055 cycles
  153. Wed May 11 22:11:17 2016  cycles contain 14590392 unique relations
  154. Wed May 11 22:27:38 2016  read 14590392 relations
  155. Wed May 11 22:28:14 2016  using 20 quadratic characters above 1073739560
  156. Wed May 11 22:29:49 2016  building initial matrix
  157. Wed May 11 22:34:16 2016  memory use: 1893.8 MB
  158. Wed May 11 22:34:19 2016  read 4321055 cycles
  159. Wed May 11 22:34:21 2016  matrix is 4320878 x 4321055 (2014.9 MB) with weight 597994096 (138.39/col)
  160. Wed May 11 22:34:21 2016  sparse part has weight 480652507 (111.23/col)
  161. Wed May 11 22:35:44 2016  filtering completed in 2 passes
  162. Wed May 11 22:35:46 2016  matrix is 4320781 x 4320958 (2014.9 MB) with weight 597989575 (138.39/col)
  163. Wed May 11 22:35:46 2016  sparse part has weight 480650777 (111.24/col)
  164. Wed May 11 22:36:17 2016  matrix starts at (0, 0)
  165. Wed May 11 22:36:18 2016  matrix is 4320781 x 4320958 (2014.9 MB) with weight 597989575 (138.39/col)
  166. Wed May 11 22:36:18 2016  sparse part has weight 480650777 (111.24/col)
  167. Wed May 11 22:36:18 2016  saving the first 48 matrix rows for later
  168. Wed May 11 22:36:20 2016  matrix includes 64 packed rows
  169. Wed May 11 22:36:21 2016  matrix is 4320733 x 4320958 (1941.0 MB) with weight 509544193 (117.92/col)
  170. Wed May 11 22:36:21 2016  sparse part has weight 465615674 (107.76/col)
  171. Wed May 11 22:36:21 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  172. Wed May 11 22:36:48 2016  commencing Lanczos iteration (12 threads)
  173. Wed May 11 22:36:48 2016  memory use: 1628.9 MB
  174. Wed May 11 22:37:03 2016  linear algebra at 0.0%, ETA 11h 4m
  175. Wed May 11 22:37:07 2016  checkpointing every 410000 dimensions
  176. Thu May 12 08:45:18 2016  lanczos halted after 68325 iterations (dim = 4320731)
  177. Thu May 12 08:45:24 2016  recovered 36 nontrivial dependencies
  178. Thu May 12 08:45:24 2016  BLanczosTime: 38062
  179. Thu May 12 08:45:24 2016  
  180. Thu May 12 08:45:24 2016  commencing square root phase
  181. Thu May 12 08:45:24 2016  reading relations for dependency 1
  182. Thu May 12 08:45:25 2016  read 2161461 cycles
  183. Thu May 12 08:45:33 2016  cycles contain 7298050 unique relations
  184. Thu May 12 09:00:33 2016  read 7298050 relations
  185. Thu May 12 09:01:24 2016  multiplying 7298050 relations
  186. Thu May 12 09:08:48 2016  multiply complete, coefficients have about 212.12 million bits
  187. Thu May 12 09:08:50 2016  initial square root is modulo 40951111
  188. Thu May 12 09:17:06 2016  GCD is N, no factor found
  189. Thu May 12 09:17:06 2016  reading relations for dependency 2
  190. Thu May 12 09:17:07 2016  read 2159461 cycles
  191. Thu May 12 09:17:14 2016  cycles contain 7292274 unique relations
  192. Thu May 12 09:32:27 2016  read 7292274 relations
  193. Thu May 12 09:33:18 2016  multiplying 7292274 relations
  194. Thu May 12 09:40:42 2016  multiply complete, coefficients have about 211.96 million bits
  195. Thu May 12 09:40:44 2016  initial square root is modulo 40411039
  196. Thu May 12 09:49:00 2016  found factor: 45880958061473957506693225912711292821247003271320688641
  197. Thu May 12 09:49:00 2016  reading relations for dependency 3
  198. Thu May 12 09:49:01 2016  read 2163588 cycles
  199. Thu May 12 09:49:08 2016  cycles contain 7302268 unique relations
  200. Thu May 12 10:04:19 2016  read 7302268 relations
  201. Thu May 12 10:05:09 2016  multiplying 7302268 relations
  202. Thu May 12 10:12:35 2016  multiply complete, coefficients have about 212.24 million bits
  203. Thu May 12 10:12:36 2016  initial square root is modulo 41388637
  204. Thu May 12 10:20:55 2016  sqrtTime: 5731
  205. Thu May 12 10:20:55 2016  prp56 factor: 45880958061473957506693225912711292821247003271320688641
  206. Thu May 12 10:20:55 2016  prp65 factor: 65081968701650798040530411601068885697759583312298840308820389639
  207. Thu May 12 10:20:55 2016  prp92 factor: 17416459655905723219714256023053014028376728950696204772826568254313244851284715356812540493
  208. Thu May 12 10:20:55 2016  elapsed time 12:09:57
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