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GW_3_487

CarlosPinho Jun 4th, 2016 40 Never
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  1. Sat Jan  4 00:50:26 2014  Msieve v. 1.52 (SVN Unversioned directory)
  2. Sat Jan  4 00:50:26 2014  random seeds: 8ac70fa2 e4207717
  3. Sat Jan  4 00:50:26 2014  factoring 21112245616865614554501977173831169444558960698741514056225523939962729621541858067286521198606340622399276936934831545124363261714120204285595004682278909563302452562421078177904784484653981862007916451673128639 (212 digits)
  4. Sat Jan  4 00:50:28 2014  searching for 15-digit factors
  5. Sat Jan  4 00:50:29 2014  commencing number field sieve (212-digit input)
  6. Sat Jan  4 00:50:29 2014  R0: -443426488243037769948249630619149892803
  7. Sat Jan  4 00:50:29 2014  R1: 1
  8. Sat Jan  4 00:50:29 2014  A0: -1
  9. Sat Jan  4 00:50:29 2014  A1: 0
  10. Sat Jan  4 00:50:29 2014  A2: 0
  11. Sat Jan  4 00:50:29 2014  A3: 0
  12. Sat Jan  4 00:50:29 2014  A4: 0
  13. Sat Jan  4 00:50:29 2014  A5: 0
  14. Sat Jan  4 00:50:29 2014  A6: 1461
  15. Sat Jan  4 00:50:29 2014  skew 1.00, size 1.121e-11, alpha 0.193, combined = 6.646e-13 rroots = 2
  16. Sat Jan  4 00:50:29 2014  
  17. Sat Jan  4 00:50:29 2014  commencing relation filtering
  18. Sat Jan  4 00:50:29 2014  setting target matrix density to 122.0
  19. Sat Jan  4 00:50:29 2014  estimated available RAM is 16040.7 MB
  20. Sat Jan  4 00:50:29 2014  commencing duplicate removal, pass 1
  21. Sat Jan  4 00:53:49 2014  error -9 reading relation 38881956
  22. Sat Jan  4 00:53:50 2014  error -9 reading relation 39155972
  23. Sat Jan  4 00:54:13 2014  error -15 reading relation 43900688
  24. Sat Jan  4 00:54:14 2014  error -5 reading relation 43951126
  25. Sat Jan  4 00:55:00 2014  error -15 reading relation 53011110
  26. Sat Jan  4 00:55:07 2014  error -5 reading relation 54252920
  27. Sat Jan  4 00:55:44 2014  error -9 reading relation 61600092
  28. Sat Jan  4 00:55:57 2014  error -15 reading relation 64067444
  29. Sat Jan  4 00:56:34 2014  error -15 reading relation 71771440
  30. Sat Jan  4 00:56:34 2014  error -1 reading relation 71771441
  31. [ . . . nearly 40,000 error (mostly -1) records deleted . . . ]
  32. Sat Jan  4 03:44:00 2014  error -1 reading relation 92480778
  33. Sat Jan  4 03:44:11 2014  error -9 reading relation 94683919
  34. Sat Jan  4 03:44:22 2014  error -1 reading relation 96793213
  35. Sat Jan  4 03:44:31 2014  error -9 reading relation 98575789
  36. Sat Jan  4 03:44:53 2014  error -9 reading relation 102663304
  37. Sat Jan  4 03:44:54 2014  error -5 reading relation 102829717
  38. Sat Jan  4 03:44:55 2014  error -9 reading relation 103015346
  39. Sat Jan  4 03:45:11 2014  error -15 reading relation 106301541
  40. Sat Jan  4 03:45:17 2014  error -15 reading relation 107392099
  41. Sat Jan  4 03:45:20 2014  error -15 reading relation 108141220
  42. Sat Jan  4 03:45:20 2014  error -9 reading relation 108141317
  43. Sat Jan  4 03:45:20 2014  error -15 reading relation 108154897
  44. Sat Jan  4 03:45:20 2014  error -9 reading relation 108155338
  45. Sat Jan  4 03:45:23 2014  error -15 reading relation 108593646
  46. Sat Jan  4 03:45:23 2014  error -15 reading relation 108599018
  47. Sat Jan  4 03:45:23 2014  error -9 reading relation 108645222
  48. Sat Jan  4 03:45:23 2014  error -15 reading relation 108714635
  49. Sat Jan  4 03:45:23 2014  error -15 reading relation 108720837
  50. Sat Jan  4 03:45:34 2014  error -15 reading relation 110921295
  51. Sat Jan  4 03:45:40 2014  error -9 reading relation 112004464
  52. Sat Jan  4 03:45:47 2014  error -9 reading relation 113223863
  53. Sat Jan  4 03:45:52 2014  error -9 reading relation 114243461
  54. Sat Jan  4 03:45:55 2014  error -9 reading relation 114824662
  55. Sat Jan  4 03:45:55 2014  error -11 reading relation 114888811
  56. Sat Jan  4 03:45:55 2014  error -11 reading relation 114928856
  57. Sat Jan  4 03:45:55 2014  error -11 reading relation 114935356
  58. Sat Jan  4 03:45:56 2014  error -15 reading relation 115044926
  59. Sat Jan  4 03:46:38 2014  skipped 139 relations with b > 2^32
  60. Sat Jan  4 03:46:38 2014  found 23176786 hash collisions in 121087360 relations
  61. Sat Jan  4 03:46:49 2014  commencing duplicate removal, pass 2
  62. Sat Jan  4 03:48:35 2014  found 22336365 duplicates and 98750995 unique relations
  63. Sat Jan  4 03:48:35 2014  memory use: 660.8 MB
  64. Sat Jan  4 03:48:35 2014  reading ideals above 105840640
  65. Sat Jan  4 03:48:35 2014  commencing singleton removal, initial pass
  66. Sat Jan  4 03:58:43 2014  memory use: 1506.0 MB
  67. Sat Jan  4 03:58:43 2014  reading all ideals from disk
  68. Sat Jan  4 03:58:52 2014  memory use: 1607.9 MB
  69. Sat Jan  4 03:58:55 2014  commencing in-memory singleton removal
  70. Sat Jan  4 03:58:59 2014  begin with 98750995 relations and 79612441 unique ideals
  71. Sat Jan  4 03:59:37 2014  reduce to 64406982 relations and 41800935 ideals in 15 passes
  72. Sat Jan  4 03:59:37 2014  max relations containing the same ideal: 29
  73. Sat Jan  4 03:59:40 2014  reading ideals above 720000
  74. Sat Jan  4 03:59:40 2014  commencing singleton removal, initial pass
  75. Sat Jan  4 04:08:26 2014  memory use: 1378.0 MB
  76. Sat Jan  4 04:08:26 2014  reading all ideals from disk
  77. Sat Jan  4 04:08:43 2014  memory use: 2449.6 MB
  78. Sat Jan  4 04:08:50 2014  keeping 53621198 ideals with weight <= 200, target excess is 330373
  79. Sat Jan  4 04:08:57 2014  commencing in-memory singleton removal
  80. Sat Jan  4 04:09:02 2014  begin with 64406985 relations and 53621198 unique ideals
  81. Sat Jan  4 04:09:42 2014  reduce to 64392591 relations and 53606791 ideals in 8 passes
  82. Sat Jan  4 04:09:42 2014  max relations containing the same ideal: 200
  83. Sat Jan  4 04:10:11 2014  removing 8962642 relations and 6962642 ideals in 2000000 cliques
  84. Sat Jan  4 04:10:13 2014  commencing in-memory singleton removal
  85. Sat Jan  4 04:10:17 2014  begin with 55429949 relations and 53606791 unique ideals
  86. Sat Jan  4 04:10:50 2014  reduce to 54436812 relations and 45613104 ideals in 8 passes
  87. Sat Jan  4 04:10:50 2014  max relations containing the same ideal: 186
  88. Sat Jan  4 04:11:13 2014  removing 7157648 relations and 5157648 ideals in 2000000 cliques
  89. Sat Jan  4 04:11:15 2014  commencing in-memory singleton removal
  90. Sat Jan  4 04:11:19 2014  begin with 47279164 relations and 45613104 unique ideals
  91. Sat Jan  4 04:11:47 2014  reduce to 46563369 relations and 39713604 ideals in 8 passes
  92. Sat Jan  4 04:11:47 2014  max relations containing the same ideal: 173
  93. Sat Jan  4 04:12:07 2014  removing 6630123 relations and 4630123 ideals in 2000000 cliques
  94. Sat Jan  4 04:12:09 2014  commencing in-memory singleton removal
  95. Sat Jan  4 04:12:12 2014  begin with 39933246 relations and 39713604 unique ideals
  96. Sat Jan  4 04:12:35 2014  reduce to 39253000 relations and 34376433 ideals in 8 passes
  97. Sat Jan  4 04:12:35 2014  max relations containing the same ideal: 152
  98. Sat Jan  4 04:12:52 2014  removing 6365685 relations and 4365685 ideals in 2000000 cliques
  99. Sat Jan  4 04:12:54 2014  commencing in-memory singleton removal
  100. Sat Jan  4 04:12:57 2014  begin with 32887315 relations and 34376433 unique ideals
  101. Sat Jan  4 04:13:16 2014  reduce to 32189563 relations and 29281095 ideals in 8 passes
  102. Sat Jan  4 04:13:16 2014  max relations containing the same ideal: 136
  103. Sat Jan  4 04:13:30 2014  removing 6190746 relations and 4190746 ideals in 2000000 cliques
  104. Sat Jan  4 04:13:32 2014  commencing in-memory singleton removal
  105. Sat Jan  4 04:13:33 2014  begin with 25998817 relations and 29281095 unique ideals
  106. Sat Jan  4 04:13:48 2014  reduce to 25216387 relations and 24264930 ideals in 8 passes
  107. Sat Jan  4 04:13:48 2014  max relations containing the same ideal: 115
  108. Sat Jan  4 04:13:59 2014  removing 2244280 relations and 1676056 ideals in 568224 cliques
  109. Sat Jan  4 04:14:00 2014  commencing in-memory singleton removal
  110. Sat Jan  4 04:14:02 2014  begin with 22972107 relations and 24264930 unique ideals
  111. Sat Jan  4 04:14:12 2014  reduce to 22833242 relations and 22447135 ideals in 6 passes
  112. Sat Jan  4 04:14:12 2014  max relations containing the same ideal: 109
  113. Sat Jan  4 04:14:26 2014  relations with 0 large ideals: 12417
  114. Sat Jan  4 04:14:26 2014  relations with 1 large ideals: 2934
  115. Sat Jan  4 04:14:26 2014  relations with 2 large ideals: 35976
  116. Sat Jan  4 04:14:26 2014  relations with 3 large ideals: 288670
  117. Sat Jan  4 04:14:26 2014  relations with 4 large ideals: 1277146
  118. Sat Jan  4 04:14:26 2014  relations with 5 large ideals: 3378584
  119. Sat Jan  4 04:14:26 2014  relations with 6 large ideals: 5603996
  120. Sat Jan  4 04:14:26 2014  relations with 7+ large ideals: 12233519
  121. Sat Jan  4 04:14:26 2014  commencing 2-way merge
  122. Sat Jan  4 04:14:38 2014  reduce to 15433092 relation sets and 15046985 unique ideals
  123. Sat Jan  4 04:14:38 2014  commencing full merge
  124. Sat Jan  4 04:20:25 2014  memory use: 2040.0 MB
  125. Sat Jan  4 04:20:26 2014  found 7031510 cycles, need 7019185
  126. Sat Jan  4 04:20:29 2014  weight of 7019185 cycles is about 814461136 (116.03/cycle)
  127. Sat Jan  4 04:20:29 2014  distribution of cycle lengths:
  128. Sat Jan  4 04:20:29 2014  1 relations: 254747
  129. Sat Jan  4 04:20:29 2014  2 relations: 417595
  130. Sat Jan  4 04:20:29 2014  3 relations: 511992
  131. Sat Jan  4 04:20:29 2014  4 relations: 534493
  132. Sat Jan  4 04:20:29 2014  5 relations: 547260
  133. Sat Jan  4 04:20:29 2014  6 relations: 540653
  134. Sat Jan  4 04:20:29 2014  7 relations: 524860
  135. Sat Jan  4 04:20:29 2014  8 relations: 498371
  136. Sat Jan  4 04:20:29 2014  9 relations: 464707
  137. Sat Jan  4 04:20:29 2014  10+ relations: 2724507
  138. Sat Jan  4 04:20:29 2014  heaviest cycle: 28 relations
  139. Sat Jan  4 04:20:31 2014  commencing cycle optimization
  140. Sat Jan  4 04:20:44 2014  start with 61488409 relations
  141. Sat Jan  4 04:22:51 2014  pruned 2947433 relations
  142. Sat Jan  4 04:22:52 2014  memory use: 1589.0 MB
  143. Sat Jan  4 04:22:52 2014  distribution of cycle lengths:
  144. Sat Jan  4 04:22:52 2014  1 relations: 254747
  145. Sat Jan  4 04:22:52 2014  2 relations: 428454
  146. Sat Jan  4 04:22:52 2014  3 relations: 535105
  147. Sat Jan  4 04:22:52 2014  4 relations: 558069
  148. Sat Jan  4 04:22:52 2014  5 relations: 576397
  149. Sat Jan  4 04:22:52 2014  6 relations: 568152
  150. Sat Jan  4 04:22:52 2014  7 relations: 553370
  151. Sat Jan  4 04:22:52 2014  8 relations: 521876
  152. Sat Jan  4 04:22:52 2014  9 relations: 486380
  153. Sat Jan  4 04:22:52 2014  10+ relations: 2536635
  154. Sat Jan  4 04:22:52 2014  heaviest cycle: 28 relations
  155. Sat Jan  4 04:23:05 2014  RelProcTime: 2838
  156. Sat Jan  4 04:23:05 2014  
  157. Sat Jan  4 04:23:05 2014  commencing linear algebra
  158. Sat Jan  4 04:23:06 2014  read 7019185 cycles
  159. Sat Jan  4 04:23:21 2014  cycles contain 22617925 unique relations
  160. Sat Jan  4 04:25:46 2014  read 22617925 relations
  161. Sat Jan  4 04:26:25 2014  using 20 quadratic characters above 1073740854
  162. Sat Jan  4 04:27:51 2014  building initial matrix
  163. Sat Jan  4 04:32:41 2014  memory use: 2988.6 MB
  164. Sat Jan  4 04:32:44 2014  read 7019185 cycles
  165. Sat Jan  4 04:32:45 2014  matrix is 7019008 x 7019185 (3184.5 MB) with weight 933012002 (132.92/col)
  166. Sat Jan  4 04:32:45 2014  sparse part has weight 757576224 (107.93/col)
  167. Sat Jan  4 04:34:12 2014  filtering completed in 2 passes
  168. Sat Jan  4 04:34:14 2014  matrix is 7018949 x 7019126 (3184.5 MB) with weight 933010102 (132.92/col)
  169. Sat Jan  4 04:34:14 2014  sparse part has weight 757575792 (107.93/col)
  170. Sat Jan  4 04:34:51 2014  matrix starts at (0, 0)
  171. Sat Jan  4 04:34:52 2014  matrix is 7018949 x 7019126 (3184.5 MB) with weight 933010102 (132.92/col)
  172. Sat Jan  4 04:34:52 2014  sparse part has weight 757575792 (107.93/col)
  173. Sat Jan  4 04:34:52 2014  saving the first 48 matrix rows for later
  174. Sat Jan  4 04:34:53 2014  matrix includes 64 packed rows
  175. Sat Jan  4 04:34:54 2014  matrix is 7018901 x 7019126 (3064.1 MB) with weight 796590335 (113.49/col)
  176. Sat Jan  4 04:34:54 2014  sparse part has weight 733034268 (104.43/col)
  177. Sat Jan  4 04:34:54 2014  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  178. Sat Jan  4 04:35:20 2014  commencing Lanczos iteration (4 threads)
  179. Sat Jan  4 04:35:20 2014  memory use: 2584.8 MB
  180. Sat Jan  4 04:36:05 2014  linear algebra at 0.0%, ETA 53h56m
  181. Sat Jan  4 04:36:14 2014  checkpointing every 150000 dimensions
  182. Sun Jan  5 12:34:04 2014  lanczos halted after 111002 iterations (dim = 7018899)
  183. Sun Jan  5 12:34:12 2014  recovered 35 nontrivial dependencies
  184. Sun Jan  5 12:34:12 2014  BLanczosTime: 115867
  185. Sun Jan  5 12:34:12 2014  
  186. Sun Jan  5 12:34:12 2014  commencing square root phase
  187. Sun Jan  5 12:34:12 2014  handling dependencies 1 to 64
  188. Sun Jan  5 12:34:12 2014  reading relations for dependency 1
  189. Sun Jan  5 12:34:14 2014  read 3509709 cycles
  190. Sun Jan  5 12:34:19 2014  cycles contain 11312386 unique relations
  191. Sun Jan  5 12:36:32 2014  read 11312386 relations
  192. Sun Jan  5 12:37:16 2014  multiplying 11312386 relations
  193. Sun Jan  5 12:46:39 2014  multiply complete, coefficients have about 387.64 million bits
  194. Sun Jan  5 12:46:40 2014  initial square root is modulo 9026593
  195. Sun Jan  5 12:57:27 2014  GCD is N, no factor found
  196. Sun Jan  5 12:57:27 2014  reading relations for dependency 2
  197. Sun Jan  5 12:57:29 2014  read 3507918 cycles
  198. Sun Jan  5 12:57:35 2014  cycles contain 11306624 unique relations
  199. Sun Jan  5 12:59:23 2014  read 11306624 relations
  200. Sun Jan  5 13:00:07 2014  multiplying 11306624 relations
  201. Sun Jan  5 13:09:29 2014  multiply complete, coefficients have about 387.44 million bits
  202. Sun Jan  5 13:09:30 2014  initial square root is modulo 8952289
  203. Sun Jan  5 13:20:14 2014  sqrtTime: 2762
  204. Sun Jan  5 13:20:14 2014  prp82 factor: 1170314028012780585726851302597496160000573925664480234237527410843217244780343409
  205. Sun Jan  5 13:20:14 2014  prp131 factor: 18039812487520704301520084118889776324487023780089331527713858058891918849312441408100289033587392884928118983616250864950197287471
  206. Sun Jan  5 13:20:14 2014  elapsed time 33:44:29
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