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C191_146_46

CarlosPinho Jun 5th, 2016 36 Never
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  1. Sun May 22 20:50:20 2016  Msieve v. 1.53 (SVN Unversioned directory)
  2. Sun May 22 20:50:20 2016  random seeds: 53b6bd92 8584e849
  3. Sun May 22 20:50:20 2016  factoring 56574732507291742818136358075389607161811433884688822714297433284637501115855076470525738771084518582288072619842517213039153954066198377543330390977085623589024958095190488286242737282960973 (191 digits)
  4. Sun May 22 20:50:21 2016  searching for 15-digit factors
  5. Sun May 22 20:50:23 2016  commencing number field sieve (191-digit input)
  6. Sun May 22 20:50:23 2016  R0: 3241209907740449201507056577192964484301324288
  7. Sun May 22 20:50:23 2016  R1: -58871586708267913
  8. Sun May 22 20:50:23 2016  A0: 73
  9. Sun May 22 20:50:23 2016  A1: 0
  10. Sun May 22 20:50:23 2016  A2: 0
  11. Sun May 22 20:50:23 2016  A3: 0
  12. Sun May 22 20:50:23 2016  A4: 0
  13. Sun May 22 20:50:23 2016  A5: 23
  14. Sun May 22 20:50:23 2016  skew 1.26, size 7.013e-16, alpha 0.658, combined = 8.344e-13 rroots = 1
  15. Sun May 22 20:50:23 2016  
  16. Sun May 22 20:50:23 2016  commencing relation filtering
  17. Sun May 22 20:50:23 2016  setting target matrix density to 120.0
  18. Sun May 22 20:50:23 2016  estimated available RAM is 16039.4 MB
  19. Sun May 22 20:50:23 2016  commencing duplicate removal, pass 1
  20. Sun May 22 20:56:58 2016  error -9 reading relation 26184520
  21. Sun May 22 21:10:40 2016  error -9 reading relation 79701337
  22. Sun May 22 21:11:35 2016  error -15 reading relation 86504824
  23. Sun May 22 21:14:02 2016  error -9 reading relation 104859915
  24. Sun May 22 21:14:40 2016  error -5 reading relation 109361774
  25. Sun May 22 21:15:07 2016  skipped 29 relations with b > 2^32
  26. Sun May 22 21:15:07 2016  skipped 3 relations with composite factors
  27. Sun May 22 21:15:07 2016  found 19871545 hash collisions in 112805860 relations
  28. Sun May 22 21:15:39 2016  added 731325 free relations
  29. Sun May 22 21:15:39 2016  commencing duplicate removal, pass 2
  30. Sun May 22 21:16:23 2016  found 18608165 duplicates and 94929020 unique relations
  31. Sun May 22 21:16:23 2016  memory use: 660.8 MB
  32. Sun May 22 21:16:23 2016  reading ideals above 89849856
  33. Sun May 22 21:16:23 2016  commencing singleton removal, initial pass
  34. Sun May 22 21:28:14 2016  memory use: 1506.0 MB
  35. Sun May 22 21:28:14 2016  reading all ideals from disk
  36. Sun May 22 21:28:29 2016  memory use: 1567.7 MB
  37. Sun May 22 21:28:33 2016  commencing in-memory singleton removal
  38. Sun May 22 21:28:37 2016  begin with 94929020 relations and 79597213 unique ideals
  39. Sun May 22 21:29:24 2016  reduce to 58673593 relations and 39382932 ideals in 17 passes
  40. Sun May 22 21:29:24 2016  max relations containing the same ideal: 37
  41. Sun May 22 21:29:27 2016  reading ideals above 720000
  42. Sun May 22 21:29:27 2016  commencing singleton removal, initial pass
  43. Sun May 22 21:39:19 2016  memory use: 1378.0 MB
  44. Sun May 22 21:39:19 2016  reading all ideals from disk
  45. Sun May 22 21:39:22 2016  memory use: 2213.6 MB
  46. Sun May 22 21:39:27 2016  keeping 49489201 ideals with weight <= 200, target excess is 307915
  47. Sun May 22 21:39:33 2016  commencing in-memory singleton removal
  48. Sun May 22 21:39:37 2016  begin with 58673593 relations and 49489201 unique ideals
  49. Sun May 22 21:40:26 2016  reduce to 58639156 relations and 49454758 ideals in 11 passes
  50. Sun May 22 21:40:26 2016  max relations containing the same ideal: 200
  51. Sun May 22 21:40:48 2016  removing 5754483 relations and 4754483 ideals in 1000000 cliques
  52. Sun May 22 21:40:50 2016  commencing in-memory singleton removal
  53. Sun May 22 21:40:53 2016  begin with 52884673 relations and 49454758 unique ideals
  54. Sun May 22 21:41:25 2016  reduce to 52455456 relations and 44262015 ideals in 9 passes
  55. Sun May 22 21:41:25 2016  max relations containing the same ideal: 194
  56. Sun May 22 21:41:44 2016  removing 4401666 relations and 3401666 ideals in 1000000 cliques
  57. Sun May 22 21:41:46 2016  commencing in-memory singleton removal
  58. Sun May 22 21:41:49 2016  begin with 48053790 relations and 44262015 unique ideals
  59. Sun May 22 21:42:11 2016  reduce to 47767153 relations and 40568388 ideals in 7 passes
  60. Sun May 22 21:42:11 2016  max relations containing the same ideal: 186
  61. Sun May 22 21:42:28 2016  removing 3994102 relations and 2994102 ideals in 1000000 cliques
  62. Sun May 22 21:42:30 2016  commencing in-memory singleton removal
  63. Sun May 22 21:42:33 2016  begin with 43773051 relations and 40568388 unique ideals
  64. Sun May 22 21:42:53 2016  reduce to 43518246 relations and 37314428 ideals in 7 passes
  65. Sun May 22 21:42:53 2016  max relations containing the same ideal: 178
  66. Sun May 22 21:43:09 2016  removing 3786534 relations and 2786534 ideals in 1000000 cliques
  67. Sun May 22 21:43:10 2016  commencing in-memory singleton removal
  68. Sun May 22 21:43:12 2016  begin with 39731712 relations and 37314428 unique ideals
  69. Sun May 22 21:43:33 2016  reduce to 39485613 relations and 34276721 ideals in 8 passes
  70. Sun May 22 21:43:33 2016  max relations containing the same ideal: 164
  71. Sun May 22 21:43:48 2016  removing 3662373 relations and 2662373 ideals in 1000000 cliques
  72. Sun May 22 21:43:49 2016  commencing in-memory singleton removal
  73. Sun May 22 21:43:51 2016  begin with 35823240 relations and 34276721 unique ideals
  74. Sun May 22 21:44:10 2016  reduce to 35575679 relations and 31361294 ideals in 8 passes
  75. Sun May 22 21:44:10 2016  max relations containing the same ideal: 152
  76. Sun May 22 21:44:23 2016  removing 3578881 relations and 2578881 ideals in 1000000 cliques
  77. Sun May 22 21:44:24 2016  commencing in-memory singleton removal
  78. Sun May 22 21:44:26 2016  begin with 31996798 relations and 31361294 unique ideals
  79. Sun May 22 21:44:42 2016  reduce to 31740565 relations and 28519979 ideals in 8 passes
  80. Sun May 22 21:44:42 2016  max relations containing the same ideal: 140
  81. Sun May 22 21:44:54 2016  removing 3526340 relations and 2526340 ideals in 1000000 cliques
  82. Sun May 22 21:44:55 2016  commencing in-memory singleton removal
  83. Sun May 22 21:44:57 2016  begin with 28214225 relations and 28519979 unique ideals
  84. Sun May 22 21:45:10 2016  reduce to 27941864 relations and 25714023 ideals in 8 passes
  85. Sun May 22 21:45:10 2016  max relations containing the same ideal: 131
  86. Sun May 22 21:45:20 2016  removing 3491215 relations and 2491215 ideals in 1000000 cliques
  87. Sun May 22 21:45:21 2016  commencing in-memory singleton removal
  88. Sun May 22 21:45:22 2016  begin with 24450649 relations and 25714023 unique ideals
  89. Sun May 22 21:45:33 2016  reduce to 24152148 relations and 22915204 ideals in 7 passes
  90. Sun May 22 21:45:33 2016  max relations containing the same ideal: 117
  91. Sun May 22 21:45:41 2016  removing 3132223 relations and 2252461 ideals in 879762 cliques
  92. Sun May 22 21:45:42 2016  commencing in-memory singleton removal
  93. Sun May 22 21:45:43 2016  begin with 21019925 relations and 22915204 unique ideals
  94. Sun May 22 21:45:53 2016  reduce to 20744461 relations and 20378729 ideals in 8 passes
  95. Sun May 22 21:45:53 2016  max relations containing the same ideal: 104
  96. Sun May 22 21:46:01 2016  removing 64001 relations and 55451 ideals in 8550 cliques
  97. Sun May 22 21:46:01 2016  commencing in-memory singleton removal
  98. Sun May 22 21:46:02 2016  begin with 20680460 relations and 20378729 unique ideals
  99. Sun May 22 21:46:07 2016  reduce to 20680342 relations and 20323160 ideals in 4 passes
  100. Sun May 22 21:46:07 2016  max relations containing the same ideal: 104
  101. Sun May 22 21:46:11 2016  relations with 0 large ideals: 6253
  102. Sun May 22 21:46:11 2016  relations with 1 large ideals: 1809
  103. Sun May 22 21:46:11 2016  relations with 2 large ideals: 31227
  104. Sun May 22 21:46:11 2016  relations with 3 large ideals: 257916
  105. Sun May 22 21:46:11 2016  relations with 4 large ideals: 1158726
  106. Sun May 22 21:46:11 2016  relations with 5 large ideals: 3101637
  107. Sun May 22 21:46:11 2016  relations with 6 large ideals: 5354128
  108. Sun May 22 21:46:11 2016  relations with 7+ large ideals: 10768646
  109. Sun May 22 21:46:11 2016  commencing 2-way merge
  110. Sun May 22 21:46:20 2016  reduce to 13543882 relation sets and 13186700 unique ideals
  111. Sun May 22 21:46:20 2016  commencing full merge
  112. Sun May 22 21:50:51 2016  memory use: 1770.2 MB
  113. Sun May 22 21:50:53 2016  found 6148204 cycles, need 6140900
  114. Sun May 22 21:50:54 2016  weight of 6140900 cycles is about 736980099 (120.01/cycle)
  115. Sun May 22 21:50:54 2016  distribution of cycle lengths:
  116. Sun May 22 21:50:54 2016  1 relations: 228999
  117. Sun May 22 21:50:54 2016  2 relations: 376054
  118. Sun May 22 21:50:54 2016  3 relations: 449258
  119. Sun May 22 21:50:54 2016  4 relations: 460628
  120. Sun May 22 21:50:54 2016  5 relations: 469699
  121. Sun May 22 21:50:54 2016  6 relations: 462659
  122. Sun May 22 21:50:54 2016  7 relations: 449485
  123. Sun May 22 21:50:54 2016  8 relations: 426837
  124. Sun May 22 21:50:54 2016  9 relations: 398906
  125. Sun May 22 21:50:54 2016  10+ relations: 2418375
  126. Sun May 22 21:50:54 2016  heaviest cycle: 28 relations
  127. Sun May 22 21:50:56 2016  commencing cycle optimization
  128. Sun May 22 21:51:06 2016  start with 54313542 relations
  129. Sun May 22 21:52:46 2016  pruned 2550508 relations
  130. Sun May 22 21:52:46 2016  memory use: 1421.7 MB
  131. Sun May 22 21:52:46 2016  distribution of cycle lengths:
  132. Sun May 22 21:52:46 2016  1 relations: 228999
  133. Sun May 22 21:52:46 2016  2 relations: 385976
  134. Sun May 22 21:52:46 2016  3 relations: 469898
  135. Sun May 22 21:52:46 2016  4 relations: 480606
  136. Sun May 22 21:52:46 2016  5 relations: 494046
  137. Sun May 22 21:52:46 2016  6 relations: 485254
  138. Sun May 22 21:52:46 2016  7 relations: 472198
  139. Sun May 22 21:52:46 2016  8 relations: 445896
  140. Sun May 22 21:52:46 2016  9 relations: 417074
  141. Sun May 22 21:52:46 2016  10+ relations: 2260953
  142. Sun May 22 21:52:46 2016  heaviest cycle: 28 relations
  143. Sun May 22 21:52:55 2016  RelProcTime: 3752
  144. Sun May 22 21:52:55 2016  
  145. Sun May 22 21:52:55 2016  commencing linear algebra
  146. Sun May 22 21:52:57 2016  read 6140900 cycles
  147. Sun May 22 21:53:09 2016  cycles contain 20479551 unique relations
  148. Sun May 22 21:55:44 2016  read 20479551 relations
  149. Sun May 22 21:56:05 2016  using 20 quadratic characters above 4294917295
  150. Sun May 22 21:57:25 2016  building initial matrix
  151. Sun May 22 22:00:50 2016  memory use: 2613.2 MB
  152. Sun May 22 22:00:53 2016  read 6140900 cycles
  153. Sun May 22 22:00:54 2016  matrix is 6140723 x 6140900 (2871.3 MB) with weight 822980692 (134.02/col)
  154. Sun May 22 22:00:54 2016  sparse part has weight 685144971 (111.57/col)
  155. Sun May 22 22:01:51 2016  filtering completed in 2 passes
  156. Sun May 22 22:01:52 2016  matrix is 6140679 x 6140856 (2871.3 MB) with weight 822979142 (134.02/col)
  157. Sun May 22 22:01:52 2016  sparse part has weight 685144499 (111.57/col)
  158. Sun May 22 22:02:10 2016  matrix starts at (0, 0)
  159. Sun May 22 22:02:10 2016  matrix is 6140679 x 6140856 (2871.3 MB) with weight 822979142 (134.02/col)
  160. Sun May 22 22:02:10 2016  sparse part has weight 685144499 (111.57/col)
  161. Sun May 22 22:02:10 2016  saving the first 48 matrix rows for later
  162. Sun May 22 22:02:11 2016  matrix includes 64 packed rows
  163. Sun May 22 22:02:12 2016  matrix is 6140631 x 6140856 (2735.8 MB) with weight 704275933 (114.69/col)
  164. Sun May 22 22:02:12 2016  sparse part has weight 655759106 (106.79/col)
  165. Sun May 22 22:02:25 2016  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  166. Sun May 22 22:02:47 2016  commencing Lanczos iteration (4 threads)
  167. Sun May 22 22:02:47 2016  memory use: 2301.1 MB
  168. Sun May 22 22:03:12 2016  linear algebra at 0.0%, ETA 26h57m
  169. Sun May 22 22:03:20 2016  checkpointing every 230000 dimensions
  170. Mon May 23 22:14:05 2016  lanczos halted after 97106 iterations (dim = 6140629)
  171. Mon May 23 22:14:12 2016  recovered 35 nontrivial dependencies
  172. Mon May 23 22:14:12 2016  BLanczosTime: 87677
  173. Mon May 23 22:14:12 2016  
  174. Mon May 23 22:14:12 2016  commencing square root phase
  175. Mon May 23 22:14:12 2016  handling dependencies 1 to 64
  176. Mon May 23 22:14:12 2016  reading relations for dependency 1
  177. Mon May 23 22:14:15 2016  read 3069799 cycles
  178. Mon May 23 22:14:20 2016  cycles contain 10237478 unique relations
  179. Mon May 23 22:16:21 2016  read 10237478 relations
  180. Mon May 23 22:16:54 2016  multiplying 10237478 relations
  181. Mon May 23 22:21:26 2016  multiply complete, coefficients have about 302.46 million bits
  182. Mon May 23 22:21:26 2016  initial square root is modulo 267391
  183. Mon May 23 22:26:57 2016  sqrtTime: 765
  184. Mon May 23 22:26:57 2016  p65 factor: 34873402947555549544279128472068481110019827422100667587262532917
  185. Mon May 23 22:26:57 2016  p127 factor: 1622288842656731539841869396158860629320839569567336174514840240069130162384766295080252291937463767387691113107743271837194169
  186. Mon May 23 22:26:57 2016  elapsed time 25:36:37
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