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8713_59_minus1

debrouxl May 31st, 2016 63 Never
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  1. Thu Jul 30 15:05:31 2015  
  2. Thu Jul 30 15:05:31 2015  
  3. Thu Jul 30 15:05:31 2015  Msieve v. 1.53 (SVN 984M)
  4. Thu Jul 30 15:05:31 2015  random seeds: 0e8ebd87 527f3d9e
  5. Thu Jul 30 15:05:31 2015  MPI process 0 of 1
  6. Thu Jul 30 15:05:31 2015  factoring 3386704160350943711887003730411152888870879629180177467064271455632847892592120864996045496685249347339455625686744187566683813283776439232899837378639618760964234590350271294373514672903717772316743782863757287949282682544955123 (229 digits)
  7. Thu Jul 30 15:05:31 2015  commencing number field sieve (229-digit input)
  8. Thu Jul 30 15:05:31 2015  R0: -2521605484142177826081974611306685992849
  9. Thu Jul 30 15:05:31 2015  R1: 1
  10. Thu Jul 30 15:05:31 2015  A0: -8713
  11. Thu Jul 30 15:05:31 2015  A1: 0
  12. Thu Jul 30 15:05:31 2015  A2: 0
  13. Thu Jul 30 15:05:31 2015  A3: 0
  14. Thu Jul 30 15:05:31 2015  A4: 0
  15. Thu Jul 30 15:05:31 2015  A5: 0
  16. Thu Jul 30 15:05:31 2015  A6: 1
  17. Thu Jul 30 15:05:31 2015  skew 1.00, size 1.318e-11, alpha -1.642, combined = 6.560e-13 rroots = 2
  18. Thu Jul 30 15:05:31 2015  
  19. Thu Jul 30 15:05:31 2015  commencing relation filtering
  20. Thu Jul 30 15:05:31 2015  setting target matrix density to 90.0
  21. Thu Jul 30 15:05:31 2015  estimated available RAM is 16055.3 MB
  22. Thu Jul 30 15:05:31 2015  commencing duplicate removal, pass 1
  23. Thu Jul 30 15:33:36 2015  skipped 2 relations with b > 2^32
  24. Thu Jul 30 15:33:36 2015  found 14568612 hash collisions in 187181868 relations
  25. Thu Jul 30 15:33:53 2015  added 1219643 free relations
  26. Thu Jul 30 15:33:53 2015  commencing duplicate removal, pass 2
  27. Thu Jul 30 15:37:31 2015  found 0 duplicates and 188401511 unique relations
  28. Thu Jul 30 15:37:31 2015  memory use: 660.8 MB
  29. Thu Jul 30 15:37:31 2015  reading ideals above 85000192
  30. Thu Jul 30 15:37:31 2015  commencing singleton removal, initial pass
  31. Thu Jul 30 16:02:02 2015  memory use: 3012.0 MB
  32. Thu Jul 30 16:02:02 2015  reading all ideals from disk
  33. Thu Jul 30 16:02:41 2015  memory use: 3457.5 MB
  34. Thu Jul 30 16:02:49 2015  commencing in-memory singleton removal
  35. Thu Jul 30 16:02:57 2015  begin with 188401511 relations and 161306133 unique ideals
  36. Thu Jul 30 16:04:27 2015  reduce to 117603892 relations and 82704876 ideals in 14 passes
  37. Thu Jul 30 16:04:27 2015  max relations containing the same ideal: 58
  38. Thu Jul 30 16:04:34 2015  reading ideals above 720000
  39. Thu Jul 30 16:04:34 2015  commencing singleton removal, initial pass
  40. Thu Jul 30 16:27:07 2015  memory use: 2756.0 MB
  41. Thu Jul 30 16:27:07 2015  reading all ideals from disk
  42. Thu Jul 30 16:27:52 2015  memory use: 4476.9 MB
  43. Thu Jul 30 16:28:03 2015  keeping 92012827 ideals with weight <= 200, target excess is 582755
  44. Thu Jul 30 16:28:17 2015  commencing in-memory singleton removal
  45. Thu Jul 30 16:28:26 2015  begin with 117603892 relations and 92012827 unique ideals
  46. Thu Jul 30 16:28:45 2015  reduce to 117603890 relations and 92012825 ideals in 2 passes
  47. Thu Jul 30 16:28:45 2015  max relations containing the same ideal: 200
  48. Thu Jul 30 16:29:38 2015  removing 10661985 relations and 8661985 ideals in 2000000 cliques
  49. Thu Jul 30 16:29:41 2015  commencing in-memory singleton removal
  50. Thu Jul 30 16:29:50 2015  begin with 106941905 relations and 92012825 unique ideals
  51. Thu Jul 30 16:31:18 2015  reduce to 106232207 relations and 82625931 ideals in 9 passes
  52. Thu Jul 30 16:31:18 2015  max relations containing the same ideal: 196
  53. Thu Jul 30 16:32:04 2015  removing 8064466 relations and 6064466 ideals in 2000000 cliques
  54. Thu Jul 30 16:32:07 2015  commencing in-memory singleton removal
  55. Thu Jul 30 16:32:15 2015  begin with 98167741 relations and 82625931 unique ideals
  56. Thu Jul 30 16:33:16 2015  reduce to 97694006 relations and 76078561 ideals in 7 passes
  57. Thu Jul 30 16:33:16 2015  max relations containing the same ideal: 186
  58. Thu Jul 30 16:33:59 2015  removing 7307990 relations and 5307990 ideals in 2000000 cliques
  59. Thu Jul 30 16:34:02 2015  commencing in-memory singleton removal
  60. Thu Jul 30 16:34:09 2015  begin with 90386016 relations and 76078561 unique ideals
  61. Thu Jul 30 16:35:06 2015  reduce to 89969196 relations and 70345756 ideals in 7 passes
  62. Thu Jul 30 16:35:06 2015  max relations containing the same ideal: 179
  63. Thu Jul 30 16:35:44 2015  removing 6919242 relations and 4919242 ideals in 2000000 cliques
  64. Thu Jul 30 16:35:47 2015  commencing in-memory singleton removal
  65. Thu Jul 30 16:35:53 2015  begin with 83049954 relations and 70345756 unique ideals
  66. Thu Jul 30 16:36:56 2015  reduce to 82654705 relations and 65023346 ideals in 8 passes
  67. Thu Jul 30 16:36:56 2015  max relations containing the same ideal: 167
  68. Thu Jul 30 16:37:32 2015  removing 6677900 relations and 4677900 ideals in 2000000 cliques
  69. Thu Jul 30 16:37:35 2015  commencing in-memory singleton removal
  70. Thu Jul 30 16:37:40 2015  begin with 75976805 relations and 65023346 unique ideals
  71. Thu Jul 30 16:38:30 2015  reduce to 75588526 relations and 59948675 ideals in 8 passes
  72. Thu Jul 30 16:38:30 2015  max relations containing the same ideal: 159
  73. Thu Jul 30 16:39:04 2015  removing 6519241 relations and 4519241 ideals in 2000000 cliques
  74. Thu Jul 30 16:39:06 2015  commencing in-memory singleton removal
  75. Thu Jul 30 16:39:11 2015  begin with 69069285 relations and 59948675 unique ideals
  76. Thu Jul 30 16:39:58 2015  reduce to 68676774 relations and 55027745 ideals in 8 passes
  77. Thu Jul 30 16:39:58 2015  max relations containing the same ideal: 151
  78. Thu Jul 30 16:40:30 2015  removing 6403853 relations and 4403853 ideals in 2000000 cliques
  79. Thu Jul 30 16:40:32 2015  commencing in-memory singleton removal
  80. Thu Jul 30 16:40:37 2015  begin with 62272921 relations and 55027745 unique ideals
  81. Thu Jul 30 16:41:15 2015  reduce to 61863429 relations and 50204046 ideals in 7 passes
  82. Thu Jul 30 16:41:15 2015  max relations containing the same ideal: 137
  83. Thu Jul 30 16:41:43 2015  removing 6329480 relations and 4329480 ideals in 2000000 cliques
  84. Thu Jul 30 16:41:45 2015  commencing in-memory singleton removal
  85. Thu Jul 30 16:41:49 2015  begin with 55533949 relations and 50204046 unique ideals
  86. Thu Jul 30 16:42:24 2015  reduce to 55098575 relations and 45426895 ideals in 7 passes
  87. Thu Jul 30 16:42:24 2015  max relations containing the same ideal: 129
  88. Thu Jul 30 16:42:51 2015  removing 6282986 relations and 4282986 ideals in 2000000 cliques
  89. Thu Jul 30 16:42:54 2015  commencing in-memory singleton removal
  90. Thu Jul 30 16:42:58 2015  begin with 48815589 relations and 45426895 unique ideals
  91. Thu Jul 30 16:43:31 2015  reduce to 48340079 relations and 40653556 ideals in 8 passes
  92. Thu Jul 30 16:43:31 2015  max relations containing the same ideal: 120
  93. Thu Jul 30 16:43:53 2015  removing 6264038 relations and 4264038 ideals in 2000000 cliques
  94. Thu Jul 30 16:43:55 2015  commencing in-memory singleton removal
  95. Thu Jul 30 16:43:58 2015  begin with 42076041 relations and 40653556 unique ideals
  96. Thu Jul 30 16:44:27 2015  reduce to 41543768 relations and 35838519 ideals in 8 passes
  97. Thu Jul 30 16:44:27 2015  max relations containing the same ideal: 107
  98. Thu Jul 30 16:44:46 2015  removing 6269661 relations and 4269661 ideals in 2000000 cliques
  99. Thu Jul 30 16:44:48 2015  commencing in-memory singleton removal
  100. Thu Jul 30 16:44:50 2015  begin with 35274107 relations and 35838519 unique ideals
  101. Thu Jul 30 16:45:14 2015  reduce to 34654288 relations and 30923408 ideals in 8 passes
  102. Thu Jul 30 16:45:14 2015  max relations containing the same ideal: 92
  103. Thu Jul 30 16:45:31 2015  removing 6298469 relations and 4298469 ideals in 2000000 cliques
  104. Thu Jul 30 16:45:33 2015  commencing in-memory singleton removal
  105. Thu Jul 30 16:45:35 2015  begin with 28355819 relations and 30923408 unique ideals
  106. Thu Jul 30 16:45:55 2015  reduce to 27596940 relations and 25828703 ideals in 9 passes
  107. Thu Jul 30 16:45:55 2015  max relations containing the same ideal: 81
  108. Thu Jul 30 16:46:08 2015  removing 3907369 relations and 2815128 ideals in 1092241 cliques
  109. Thu Jul 30 16:46:10 2015  commencing in-memory singleton removal
  110. Thu Jul 30 16:46:11 2015  begin with 23689571 relations and 25828703 unique ideals
  111. Thu Jul 30 16:46:27 2015  reduce to 23297216 relations and 22607198 ideals in 9 passes
  112. Thu Jul 30 16:46:27 2015  max relations containing the same ideal: 70
  113. Thu Jul 30 16:46:38 2015  removing 99252 relations and 85230 ideals in 14022 cliques
  114. Thu Jul 30 16:46:39 2015  commencing in-memory singleton removal
  115. Thu Jul 30 16:46:40 2015  begin with 23197964 relations and 22607198 unique ideals
  116. Thu Jul 30 16:46:48 2015  reduce to 23197701 relations and 22521705 ideals in 4 passes
  117. Thu Jul 30 16:46:48 2015  max relations containing the same ideal: 70
  118. Thu Jul 30 16:46:52 2015  relations with 0 large ideals: 22358
  119. Thu Jul 30 16:46:52 2015  relations with 1 large ideals: 10187
  120. Thu Jul 30 16:46:52 2015  relations with 2 large ideals: 136355
  121. Thu Jul 30 16:46:52 2015  relations with 3 large ideals: 844041
  122. Thu Jul 30 16:46:52 2015  relations with 4 large ideals: 2761925
  123. Thu Jul 30 16:46:52 2015  relations with 5 large ideals: 5313714
  124. Thu Jul 30 16:46:52 2015  relations with 6 large ideals: 6285661
  125. Thu Jul 30 16:46:52 2015  relations with 7+ large ideals: 7823460
  126. Thu Jul 30 16:46:52 2015  commencing 2-way merge
  127. Thu Jul 30 16:47:07 2015  reduce to 14865525 relation sets and 14189529 unique ideals
  128. Thu Jul 30 16:47:07 2015  commencing full merge
  129. Thu Jul 30 16:51:27 2015  memory use: 1863.3 MB
  130. Thu Jul 30 16:51:28 2015  found 7420378 cycles, need 7333729
  131. Thu Jul 30 16:51:30 2015  weight of 7333729 cycles is about 660445233 (90.06/cycle)
  132. Thu Jul 30 16:51:30 2015  distribution of cycle lengths:
  133. Thu Jul 30 16:51:30 2015  1 relations: 507261
  134. Thu Jul 30 16:51:30 2015  2 relations: 635899
  135. Thu Jul 30 16:51:30 2015  3 relations: 688431
  136. Thu Jul 30 16:51:30 2015  4 relations: 689294
  137. Thu Jul 30 16:51:30 2015  5 relations: 689119
  138. Thu Jul 30 16:51:30 2015  6 relations: 657066
  139. Thu Jul 30 16:51:30 2015  7 relations: 617167
  140. Thu Jul 30 16:51:30 2015  8 relations: 554557
  141. Thu Jul 30 16:51:30 2015  9 relations: 481688
  142. Thu Jul 30 16:51:30 2015  10+ relations: 1813247
  143. Thu Jul 30 16:51:30 2015  heaviest cycle: 24 relations
  144. Thu Jul 30 16:51:32 2015  commencing cycle optimization
  145. Thu Jul 30 16:51:44 2015  start with 50221735 relations
  146. Thu Jul 30 16:53:07 2015  pruned 1768381 relations
  147. Thu Jul 30 16:53:07 2015  memory use: 1478.7 MB
  148. Thu Jul 30 16:53:07 2015  distribution of cycle lengths:
  149. Thu Jul 30 16:53:07 2015  1 relations: 507261
  150. Thu Jul 30 16:53:07 2015  2 relations: 649205
  151. Thu Jul 30 16:53:07 2015  3 relations: 714746
  152. Thu Jul 30 16:53:07 2015  4 relations: 714339
  153. Thu Jul 30 16:53:07 2015  5 relations: 717762
  154. Thu Jul 30 16:53:07 2015  6 relations: 682870
  155. Thu Jul 30 16:53:07 2015  7 relations: 640630
  156. Thu Jul 30 16:53:07 2015  8 relations: 570009
  157. Thu Jul 30 16:53:07 2015  9 relations: 490325
  158. Thu Jul 30 16:53:07 2015  10+ relations: 1646582
  159. Thu Jul 30 16:53:07 2015  heaviest cycle: 24 relations
  160. Thu Jul 30 16:53:17 2015  RelProcTime: 6466
  161. Thu Jul 30 16:53:17 2015  
  162. Thu Jul 30 16:53:17 2015  commencing linear algebra
  163. Thu Jul 30 16:53:20 2015  initialized process (0,0) of 1 x 1 grid
  164. Thu Jul 30 16:53:20 2015  read 7333729 cycles
  165. Thu Jul 30 16:53:32 2015  cycles contain 22823080 unique relations
  166. Thu Jul 30 16:58:45 2015  read 22823080 relations
  167. Thu Jul 30 16:59:14 2015  using 20 quadratic characters above 4294917295
  168. Thu Jul 30 17:00:50 2015  building initial matrix
  169. Thu Jul 30 17:04:33 2015  memory use: 2994.4 MB
  170. Thu Jul 30 17:04:38 2015  read 7333729 cycles
  171. Thu Jul 30 17:04:39 2015  matrix is 7333551 x 7333729 (2701.9 MB) with weight 801535526 (109.29/col)
  172. Thu Jul 30 17:04:39 2015  sparse part has weight 627620281 (85.58/col)
  173. Thu Jul 30 17:05:50 2015  filtering completed in 2 passes
  174. Thu Jul 30 17:05:51 2015  matrix is 7332660 x 7332838 (2701.8 MB) with weight 801503709 (109.30/col)
  175. Thu Jul 30 17:05:51 2015  sparse part has weight 627609798 (85.59/col)
  176. Thu Jul 30 17:06:34 2015  matrix starts at (0, 0)
  177. Thu Jul 30 17:06:34 2015  matrix is 7332660 x 7332838 (2701.8 MB) with weight 801503709 (109.30/col)
  178. Thu Jul 30 17:06:34 2015  sparse part has weight 627609798 (85.59/col)
  179. Thu Jul 30 17:06:34 2015  saving the first 48 matrix rows for later
  180. Thu Jul 30 17:06:36 2015  matrix includes 64 packed rows
  181. Thu Jul 30 17:06:36 2015  matrix is 7332612 x 7332838 (2595.3 MB) with weight 661530541 (90.21/col)
  182. Thu Jul 30 17:06:36 2015  sparse part has weight 607015867 (82.78/col)
  183. Thu Jul 30 17:06:37 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  184. Thu Jul 30 17:07:03 2015  commencing Lanczos iteration (4 threads)
  185. Thu Jul 30 17:07:03 2015  memory use: 2159.5 MB
  186. Thu Jul 30 17:07:32 2015  linear algebra at 0.0%, ETA 36h16m
  187. Thu Jul 30 17:07:44 2015  checkpointing every 190000 dimensions
  188. Sat Aug  1 04:20:39 2015  lanczos halted after 115958 iterations (dim = 7332611)
  189. Sat Aug  1 04:20:45 2015  recovered 31 nontrivial dependencies
  190. Sat Aug  1 04:20:46 2015  BLanczosTime: 127649
  191. Sat Aug  1 04:20:46 2015  
  192. Sat Aug  1 04:20:46 2015  commencing square root phase
  193. Sat Aug  1 04:20:46 2015  handling dependencies 1 to 64
  194. Sat Aug  1 04:20:46 2015  reading relations for dependency 1
  195. Sat Aug  1 04:20:50 2015  read 3663448 cycles
  196. Sat Aug  1 04:20:56 2015  cycles contain 11406904 unique relations
  197. Sat Aug  1 04:25:08 2015  read 11406904 relations
  198. Sat Aug  1 04:26:00 2015  multiplying 11406904 relations
  199. Sat Aug  1 04:34:52 2015  multiply complete, coefficients have about 291.81 million bits
  200. Sat Aug  1 04:34:53 2015  initial square root is modulo 172213
  201. Sat Aug  1 04:44:47 2015  sqrtTime: 1441
  202. Sat Aug  1 04:44:47 2015  p70 factor: 1834625931889743535303139828314156033371970664352082726502271556907101
  203. Sat Aug  1 04:44:47 2015  elapsed time 37:39:16
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