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C187_125_61

CarlosPinho Jun 1st, 2016 27 Never
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  1. Thu May 12 11:34:11 2016  Msieve v. 1.52 (SVN exported)
  2. Thu May 12 11:34:11 2016  random seeds: 578ab0c6 3115a0ce
  3. Thu May 12 11:34:11 2016  factoring 5273143904243665815722487780193518972344803280509958532451096574122734477218633073624971814789103203058055163771532991541583731273119727770348942733168983566343612900972947979677594429943 (187 digits)
  4. Thu May 12 11:34:13 2016  searching for 15-digit factors
  5. Thu May 12 11:34:15 2016  commencing number field sieve (187-digit input)
  6. Thu May 12 11:34:15 2016  R0: 429779677118633509951347654162867327929881501
  7. Thu May 12 11:34:15 2016  R1: -14551915228366851806640625
  8. Thu May 12 11:34:15 2016  A0: 125
  9. Thu May 12 11:34:15 2016  A1: 0
  10. Thu May 12 11:34:15 2016  A2: 0
  11. Thu May 12 11:34:15 2016  A3: 0
  12. Thu May 12 11:34:15 2016  A4: 0
  13. Thu May 12 11:34:15 2016  A5: 1
  14. Thu May 12 11:34:15 2016  skew 2.63, size 2.731e-15, alpha 0.267, combined = 1.921e-12 rroots = 1
  15. Thu May 12 11:34:15 2016  
  16. Thu May 12 11:34:15 2016  commencing relation filtering
  17. Thu May 12 11:34:15 2016  setting target matrix density to 130.0
  18. Thu May 12 11:34:15 2016  estimated available RAM is 64392.0 MB
  19. Thu May 12 11:34:15 2016  commencing duplicate removal, pass 1
  20. Thu May 12 11:45:31 2016  error -9 reading relation 41194498
  21. Thu May 12 11:45:31 2016  error -1 reading relation 41196944
  22. Thu May 12 11:55:24 2016  error -5 reading relation 77795746
  23. Thu May 12 11:57:53 2016  error -9 reading relation 87087386
  24. Thu May 12 11:59:43 2016  error -15 reading relation 93845216
  25. Thu May 12 12:02:30 2016  error -5 reading relation 104159551
  26. Thu May 12 12:02:31 2016  error -9 reading relation 104178561
  27. Thu May 12 12:03:37 2016  error -1 reading relation 108312304
  28. Thu May 12 12:03:38 2016  error -9 reading relation 108342987
  29. Thu May 12 12:03:38 2016  error -9 reading relation 108358358
  30. Thu May 12 12:03:46 2016  error -5 reading relation 108822547
  31. Thu May 12 12:03:46 2016  error -15 reading relation 108833311
  32. Thu May 12 12:03:46 2016  error -9 reading relation 108840206
  33. Thu May 12 12:04:21 2016  skipped 3 relations with b > 2^32
  34. Thu May 12 12:04:21 2016  found 15562486 hash collisions in 110783778 relations
  35. Thu May 12 12:05:05 2016  added 1 free relations
  36. Thu May 12 12:05:05 2016  commencing duplicate removal, pass 2
  37. Thu May 12 12:20:11 2016  found 13003403 duplicates and 97780376 unique relations
  38. Thu May 12 12:20:11 2016  memory use: 426.4 MB
  39. Thu May 12 12:20:11 2016  reading ideals above 720000
  40. Thu May 12 12:20:11 2016  commencing singleton removal, initial pass
  41. Thu May 12 12:53:10 2016  memory use: 2756.0 MB
  42. Thu May 12 12:53:10 2016  reading all ideals from disk
  43. Thu May 12 12:53:13 2016  memory use: 3620.9 MB
  44. Thu May 12 12:53:26 2016  keeping 89122522 ideals with weight <= 200, target excess is 502430
  45. Thu May 12 12:53:41 2016  commencing in-memory singleton removal
  46. Thu May 12 12:53:53 2016  begin with 97780376 relations and 89122522 unique ideals
  47. Thu May 12 12:55:35 2016  reduce to 61873130 relations and 49378661 ideals in 13 passes
  48. Thu May 12 12:55:35 2016  max relations containing the same ideal: 155
  49. Thu May 12 12:56:13 2016  removing 8836173 relations and 6836173 ideals in 2000000 cliques
  50. Thu May 12 12:56:16 2016  commencing in-memory singleton removal
  51. Thu May 12 12:56:23 2016  begin with 53036957 relations and 49378661 unique ideals
  52. Thu May 12 12:57:10 2016  reduce to 52032970 relations and 41498578 ideals in 8 passes
  53. Thu May 12 12:57:10 2016  max relations containing the same ideal: 138
  54. Thu May 12 12:57:41 2016  removing 6993195 relations and 4993195 ideals in 2000000 cliques
  55. Thu May 12 12:57:45 2016  commencing in-memory singleton removal
  56. Thu May 12 12:57:50 2016  begin with 45039775 relations and 41498578 unique ideals
  57. Thu May 12 12:58:32 2016  reduce to 44317380 relations and 35755428 ideals in 8 passes
  58. Thu May 12 12:58:32 2016  max relations containing the same ideal: 126
  59. Thu May 12 12:58:59 2016  removing 6488569 relations and 4488569 ideals in 2000000 cliques
  60. Thu May 12 12:59:03 2016  commencing in-memory singleton removal
  61. Thu May 12 12:59:07 2016  begin with 37828811 relations and 35755428 unique ideals
  62. Thu May 12 12:59:50 2016  reduce to 37141787 relations and 30551228 ideals in 9 passes
  63. Thu May 12 12:59:50 2016  max relations containing the same ideal: 111
  64. Thu May 12 13:00:13 2016  removing 6251138 relations and 4251138 ideals in 2000000 cliques
  65. Thu May 12 13:00:15 2016  commencing in-memory singleton removal
  66. Thu May 12 13:00:19 2016  begin with 30890649 relations and 30551228 unique ideals
  67. Thu May 12 13:00:40 2016  reduce to 30166702 relations and 25541187 ideals in 7 passes
  68. Thu May 12 13:00:40 2016  max relations containing the same ideal: 95
  69. Thu May 12 13:00:59 2016  removing 6122300 relations and 4122300 ideals in 2000000 cliques
  70. Thu May 12 13:01:01 2016  commencing in-memory singleton removal
  71. Thu May 12 13:01:04 2016  begin with 24044402 relations and 25541187 unique ideals
  72. Thu May 12 13:01:25 2016  reduce to 23216894 relations and 20542557 ideals in 9 passes
  73. Thu May 12 13:01:25 2016  max relations containing the same ideal: 82
  74. Thu May 12 13:01:39 2016  removing 6041809 relations and 4041809 ideals in 2000000 cliques
  75. Thu May 12 13:01:41 2016  commencing in-memory singleton removal
  76. Thu May 12 13:01:43 2016  begin with 17175085 relations and 20542557 unique ideals
  77. Thu May 12 13:01:57 2016  reduce to 16151582 relations and 15397279 ideals in 9 passes
  78. Thu May 12 13:01:57 2016  max relations containing the same ideal: 64
  79. Thu May 12 13:02:06 2016  removing 885962 relations and 714478 ideals in 171484 cliques
  80. Thu May 12 13:02:07 2016  commencing in-memory singleton removal
  81. Thu May 12 13:02:09 2016  begin with 15265620 relations and 15397279 unique ideals
  82. Thu May 12 13:02:17 2016  reduce to 15230672 relations and 14647430 ideals in 6 passes
  83. Thu May 12 13:02:17 2016  max relations containing the same ideal: 62
  84. Thu May 12 13:02:29 2016  relations with 0 large ideals: 9850
  85. Thu May 12 13:02:29 2016  relations with 1 large ideals: 9233
  86. Thu May 12 13:02:29 2016  relations with 2 large ideals: 127025
  87. Thu May 12 13:02:29 2016  relations with 3 large ideals: 727472
  88. Thu May 12 13:02:29 2016  relations with 4 large ideals: 2197574
  89. Thu May 12 13:02:29 2016  relations with 5 large ideals: 3846887
  90. Thu May 12 13:02:29 2016  relations with 6 large ideals: 4225362
  91. Thu May 12 13:02:29 2016  relations with 7+ large ideals: 4087269
  92. Thu May 12 13:02:29 2016  commencing 2-way merge
  93. Thu May 12 13:02:41 2016  reduce to 9725432 relation sets and 9142190 unique ideals
  94. Thu May 12 13:02:41 2016  commencing full merge
  95. Thu May 12 13:07:53 2016  memory use: 1232.5 MB
  96. Thu May 12 13:07:54 2016  found 4282604 cycles, need 4274390
  97. Thu May 12 13:07:56 2016  weight of 4274390 cycles is about 556361163 (130.16/cycle)
  98. Thu May 12 13:07:56 2016  distribution of cycle lengths:
  99. Thu May 12 13:07:56 2016  1 relations: 121073
  100. Thu May 12 13:07:56 2016  2 relations: 220778
  101. Thu May 12 13:07:56 2016  3 relations: 269774
  102. Thu May 12 13:07:56 2016  4 relations: 282838
  103. Thu May 12 13:07:56 2016  5 relations: 293174
  104. Thu May 12 13:07:56 2016  6 relations: 293503
  105. Thu May 12 13:07:56 2016  7 relations: 290149
  106. Thu May 12 13:07:56 2016  8 relations: 280490
  107. Thu May 12 13:07:56 2016  9 relations: 268645
  108. Thu May 12 13:07:56 2016  10+ relations: 1953966
  109. Thu May 12 13:07:56 2016  heaviest cycle: 28 relations
  110. Thu May 12 13:07:58 2016  commencing cycle optimization
  111. Thu May 12 13:08:11 2016  start with 41927801 relations
  112. Thu May 12 13:10:43 2016  pruned 2144989 relations
  113. Thu May 12 13:10:43 2016  memory use: 1058.2 MB
  114. Thu May 12 13:10:43 2016  distribution of cycle lengths:
  115. Thu May 12 13:10:43 2016  1 relations: 121073
  116. Thu May 12 13:10:43 2016  2 relations: 226700
  117. Thu May 12 13:10:43 2016  3 relations: 281752
  118. Thu May 12 13:10:43 2016  4 relations: 295876
  119. Thu May 12 13:10:43 2016  5 relations: 309409
  120. Thu May 12 13:10:43 2016  6 relations: 309218
  121. Thu May 12 13:10:43 2016  7 relations: 306951
  122. Thu May 12 13:10:43 2016  8 relations: 296418
  123. Thu May 12 13:10:43 2016  9 relations: 283428
  124. Thu May 12 13:10:43 2016  10+ relations: 1843565
  125. Thu May 12 13:10:43 2016  heaviest cycle: 28 relations
  126. Thu May 12 13:10:56 2016  RelProcTime: 5801
  127. Thu May 12 13:10:56 2016  elapsed time 01:36:45
  128. Thu May 12 13:12:47 2016  
  129. Thu May 12 13:12:47 2016  
  130. Thu May 12 13:12:47 2016  Msieve v. 1.52 (SVN exported)
  131. Thu May 12 13:12:47 2016  random seeds: ac980c28 7a567106
  132. Thu May 12 13:12:47 2016  factoring 5273143904243665815722487780193518972344803280509958532451096574122734477218633073624971814789103203058055163771532991541583731273119727770348942733168983566343612900972947979677594429943 (187 digits)
  133. Thu May 12 13:12:49 2016  searching for 15-digit factors
  134. Thu May 12 13:12:51 2016  commencing number field sieve (187-digit input)
  135. Thu May 12 13:12:51 2016  R0: 429779677118633509951347654162867327929881501
  136. Thu May 12 13:12:51 2016  R1: -14551915228366851806640625
  137. Thu May 12 13:12:51 2016  A0: 125
  138. Thu May 12 13:12:51 2016  A1: 0
  139. Thu May 12 13:12:51 2016  A2: 0
  140. Thu May 12 13:12:51 2016  A3: 0
  141. Thu May 12 13:12:51 2016  A4: 0
  142. Thu May 12 13:12:51 2016  A5: 1
  143. Thu May 12 13:12:51 2016  skew 2.63, size 2.731e-15, alpha 0.267, combined = 1.921e-12 rroots = 1
  144. Thu May 12 13:12:51 2016  
  145. Thu May 12 13:12:51 2016  commencing linear algebra
  146. Thu May 12 13:12:52 2016  read 4274390 cycles
  147. Thu May 12 13:13:05 2016  cycles contain 14908401 unique relations
  148. Thu May 12 13:29:47 2016  read 14908401 relations
  149. Thu May 12 13:30:22 2016  using 20 quadratic characters above 1073740848
  150. Thu May 12 13:31:58 2016  building initial matrix
  151. Thu May 12 13:36:14 2016  memory use: 1886.5 MB
  152. Thu May 12 13:36:18 2016  read 4274390 cycles
  153. Thu May 12 13:36:19 2016  matrix is 4274213 x 4274390 (2136.0 MB) with weight 617657925 (144.50/col)
  154. Thu May 12 13:36:19 2016  sparse part has weight 512914545 (120.00/col)
  155. Thu May 12 13:37:41 2016  filtering completed in 2 passes
  156. Thu May 12 13:37:42 2016  matrix is 4274175 x 4274352 (2136.0 MB) with weight 617656515 (144.50/col)
  157. Thu May 12 13:37:42 2016  sparse part has weight 512914085 (120.00/col)
  158. Thu May 12 13:38:13 2016  matrix starts at (0, 0)
  159. Thu May 12 13:38:14 2016  matrix is 4274175 x 4274352 (2136.0 MB) with weight 617656515 (144.50/col)
  160. Thu May 12 13:38:14 2016  sparse part has weight 512914085 (120.00/col)
  161. Thu May 12 13:38:14 2016  saving the first 48 matrix rows for later
  162. Thu May 12 13:38:15 2016  matrix includes 64 packed rows
  163. Thu May 12 13:38:16 2016  matrix is 4274127 x 4274352 (2044.4 MB) with weight 532522996 (124.59/col)
  164. Thu May 12 13:38:16 2016  sparse part has weight 493192210 (115.38/col)
  165. Thu May 12 13:38:16 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  166. Thu May 12 13:38:44 2016  commencing Lanczos iteration (12 threads)
  167. Thu May 12 13:38:44 2016  memory use: 1719.6 MB
  168. Thu May 12 13:38:59 2016  linear algebra at 0.0%, ETA 10h55m
  169. Thu May 12 13:39:03 2016  checkpointing every 410000 dimensions
  170. Fri May 13 00:20:28 2016  lanczos halted after 67593 iterations (dim = 4274125)
  171. Fri May 13 00:20:33 2016  recovered 35 nontrivial dependencies
  172. Fri May 13 00:20:33 2016  BLanczosTime: 40062
  173. Fri May 13 00:20:33 2016  elapsed time 11:07:46
  174.  
  175. Fri May 13 00:35:36 2016  commencing square root phase
  176. Fri May 13 00:35:36 2016  handling dependencies 1 to 1
  177. Fri May 13 00:35:36 2016  reading relations for dependency 1
  178. Fri May 13 00:35:37 2016  read 2138081 cycles
  179. Fri May 13 00:35:44 2016  cycles contain 7458664 unique relations
  180. Fri May 13 00:51:25 2016  read 7458664 relations
  181. Fri May 13 00:52:14 2016  multiplying 7458664 relations
  182. Fri May 13 00:56:41 2016  multiply complete, coefficients have about 188.53 million bits
  183. Fri May 13 00:56:42 2016  initial square root is modulo 5832121
  184. Fri May 13 01:02:05 2016  sqrtTime: 1589
  185. Fri May 13 01:02:05 2016  prp84 factor: 596756957975417617973081019907481907780391310819518718943140180926779107195619001511
  186. Fri May 13 01:02:05 2016  prp103 factor: 8836334178881721490083203511692456473134491710176082290604024140122049963766785435007056890641360587313
  187. Fri May 13 01:02:05 2016  elapsed time 00:26:33
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