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L1096

Dec 6th, 2015
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  1. Thu Oct 25 13:30:18 2012
  2. Thu Oct 25 13:30:18 2012
  3. Thu Oct 25 13:30:18 2012 Msieve v. 1.50 (SVN Official Release - LARGEBLOCKS)
  4. Thu Oct 25 13:30:18 2012 random seeds: b948fad0 bc2d6eb2
  5. Thu Oct 25 13:30:18 2012 factoring 14380559302063075153475757324216480379170459869744978688402156120442973946645554597456133178924653697611017511975930879009919054737877158820280590737608017549376464959967026493144371218914703 (191 digits)
  6. Thu Oct 25 13:30:19 2012 searching for 15-digit factors
  7. Thu Oct 25 13:30:20 2012 commencing number field sieve (191-digit input)
  8. Thu Oct 25 13:30:20 2012 R0: -78569350599398894027251472817058687522
  9. Thu Oct 25 13:30:20 2012 R1: 48558529144435440119720805669229197641
  10. Thu Oct 25 13:30:20 2012 A0: 3
  11. Thu Oct 25 13:30:20 2012 A1: -6
  12. Thu Oct 25 13:30:20 2012 A2: 30
  13. Thu Oct 25 13:30:20 2012 A3: 20
  14. Thu Oct 25 13:30:20 2012 A4: 45
  15. Thu Oct 25 13:30:20 2012 A5: 24
  16. Thu Oct 25 13:30:20 2012 A6: 7
  17. Thu Oct 25 13:30:20 2012 skew 1.00, size 2.267e-011, alpha 1.267, combined = 1.174e-012 rroots = 0
  18. Thu Oct 25 13:30:20 2012
  19. Thu Oct 25 13:30:20 2012 commencing relation filtering
  20. Thu Oct 25 13:30:20 2012 estimated available RAM is 8183.1 MB
  21. Thu Oct 25 13:30:20 2012 commencing duplicate removal, pass 1
  22. Thu Oct 25 13:30:49 2012 error -1 reading relation 2909905
  23. Thu Oct 25 13:31:06 2012 error -5 reading relation 5012801
  24. Thu Oct 25 13:37:10 2012 error -9 reading relation 60233462
  25. Thu Oct 25 13:37:10 2012 error -15 reading relation 60236543
  26. Thu Oct 25 13:37:21 2012 error -15 reading relation 61940721
  27. Thu Oct 25 13:37:39 2012 error -9 reading relation 64725243
  28. Thu Oct 25 13:38:45 2012 error -1 reading relation 75073566
  29. Thu Oct 25 13:38:49 2012 error -15 reading relation 75795416
  30. Thu Oct 25 13:39:28 2012 error -9 reading relation 82194330
  31. Thu Oct 25 13:40:16 2012 error -15 reading relation 91303226
  32. Thu Oct 25 13:40:16 2012 error -9 reading relation 91392273
  33. Thu Oct 25 13:40:36 2012 error -9 reading relation 95575971
  34. Thu Oct 25 13:40:36 2012 error -9 reading relation 95697192
  35. Thu Oct 25 13:40:37 2012 error -15 reading relation 95854229
  36. Thu Oct 25 13:40:46 2012 error -5 reading relation 97789385
  37. Thu Oct 25 13:40:46 2012 error -1 reading relation 97794021
  38. Thu Oct 25 13:40:47 2012 error -15 reading relation 97927051
  39. Thu Oct 25 13:40:52 2012 error -9 reading relation 98850431
  40. Thu Oct 25 13:40:52 2012 error -15 reading relation 98868848
  41. Thu Oct 25 13:40:57 2012 error -15 reading relation 99872315
  42. Thu Oct 25 13:41:01 2012 error -15 reading relation 100688952
  43. Thu Oct 25 13:41:01 2012 error -9 reading relation 100701847
  44. Thu Oct 25 13:41:01 2012 error -9 reading relation 100713290
  45. Thu Oct 25 13:41:01 2012 error -9 reading relation 100725939
  46. Thu Oct 25 13:41:47 2012 skipped 12 relations with b > 2^32
  47. Thu Oct 25 13:41:47 2012 found 18622698 hash collisions in 106410983 relations
  48. Thu Oct 25 13:42:14 2012 added 1218202 free relations
  49. Thu Oct 25 13:42:14 2012 commencing duplicate removal, pass 2
  50. Thu Oct 25 13:45:11 2012 found 18121552 duplicates and 89507633 unique relations
  51. Thu Oct 25 13:45:11 2012 memory use: 660.8 MB
  52. Thu Oct 25 13:45:11 2012 reading ideals above 81854464
  53. Thu Oct 25 13:45:11 2012 commencing singleton removal, initial pass
  54. Thu Oct 25 13:56:45 2012 memory use: 1506.0 MB
  55. Thu Oct 25 13:56:45 2012 reading all ideals from disk
  56. Thu Oct 25 13:57:03 2012 memory use: 1504.2 MB
  57. Thu Oct 25 13:57:06 2012 commencing in-memory singleton removal
  58. Thu Oct 25 13:57:10 2012 begin with 89507633 relations and 78626828 unique ideals
  59. Thu Oct 25 13:57:45 2012 reduce to 51184912 relations and 35658807 ideals in 15 passes
  60. Thu Oct 25 13:57:45 2012 max relations containing the same ideal: 45
  61. Thu Oct 25 13:57:49 2012 reading ideals above 720000
  62. Thu Oct 25 13:57:49 2012 commencing singleton removal, initial pass
  63. Thu Oct 25 14:06:26 2012 memory use: 1378.0 MB
  64. Thu Oct 25 14:06:26 2012 reading all ideals from disk
  65. Thu Oct 25 14:06:41 2012 memory use: 1925.1 MB
  66. Thu Oct 25 14:06:46 2012 keeping 44936186 ideals with weight <= 200, target excess is 263568
  67. Thu Oct 25 14:06:52 2012 commencing in-memory singleton removal
  68. Thu Oct 25 14:06:57 2012 begin with 51184912 relations and 44936186 unique ideals
  69. Thu Oct 25 14:07:50 2012 reduce to 51170295 relations and 44921564 ideals in 11 passes
  70. Thu Oct 25 14:07:50 2012 max relations containing the same ideal: 200
  71. Thu Oct 25 14:08:13 2012 removing 6399353 relations and 5399353 ideals in 1000000 cliques
  72. Thu Oct 25 14:08:15 2012 commencing in-memory singleton removal
  73. Thu Oct 25 14:08:20 2012 begin with 44770942 relations and 44921564 unique ideals
  74. Thu Oct 25 14:08:57 2012 reduce to 44245483 relations and 38983884 ideals in 9 passes
  75. Thu Oct 25 14:08:57 2012 max relations containing the same ideal: 189
  76. Thu Oct 25 14:09:18 2012 removing 4806992 relations and 3806992 ideals in 1000000 cliques
  77. Thu Oct 25 14:09:19 2012 commencing in-memory singleton removal
  78. Thu Oct 25 14:09:23 2012 begin with 39438491 relations and 38983884 unique ideals
  79. Thu Oct 25 14:09:52 2012 reduce to 39078305 relations and 34808777 ideals in 8 passes
  80. Thu Oct 25 14:09:52 2012 max relations containing the same ideal: 175
  81. Thu Oct 25 14:10:11 2012 removing 4314868 relations and 3314868 ideals in 1000000 cliques
  82. Thu Oct 25 14:10:12 2012 commencing in-memory singleton removal
  83. Thu Oct 25 14:10:15 2012 begin with 34763437 relations and 34808777 unique ideals
  84. Thu Oct 25 14:10:41 2012 reduce to 34440403 relations and 31163271 ideals in 8 passes
  85. Thu Oct 25 14:10:41 2012 max relations containing the same ideal: 164
  86. Thu Oct 25 14:10:57 2012 removing 4030323 relations and 3030323 ideals in 1000000 cliques
  87. Thu Oct 25 14:10:59 2012 commencing in-memory singleton removal
  88. Thu Oct 25 14:11:01 2012 begin with 30410080 relations and 31163271 unique ideals
  89. Thu Oct 25 14:11:21 2012 reduce to 30076022 relations and 27790201 ideals in 7 passes
  90. Thu Oct 25 14:11:21 2012 max relations containing the same ideal: 147
  91. Thu Oct 25 14:11:35 2012 removing 3848066 relations and 2848066 ideals in 1000000 cliques
  92. Thu Oct 25 14:11:36 2012 commencing in-memory singleton removal
  93. Thu Oct 25 14:11:39 2012 begin with 26227956 relations and 27790201 unique ideals
  94. Thu Oct 25 14:12:00 2012 reduce to 25879385 relations and 24583298 ideals in 9 passes
  95. Thu Oct 25 14:12:00 2012 max relations containing the same ideal: 135
  96. Thu Oct 25 14:12:12 2012 removing 3698607 relations and 2708259 ideals in 990348 cliques
  97. Thu Oct 25 14:12:13 2012 commencing in-memory singleton removal
  98. Thu Oct 25 14:12:15 2012 begin with 22180778 relations and 24583298 unique ideals
  99. Thu Oct 25 14:12:31 2012 reduce to 21802369 relations and 21483712 ideals in 8 passes
  100. Thu Oct 25 14:12:31 2012 max relations containing the same ideal: 118
  101. Thu Oct 25 14:12:42 2012 removing 102752 relations and 89834 ideals in 12918 cliques
  102. Thu Oct 25 14:12:42 2012 commencing in-memory singleton removal
  103. Thu Oct 25 14:12:44 2012 begin with 21699617 relations and 21483712 unique ideals
  104. Thu Oct 25 14:12:53 2012 reduce to 21699305 relations and 21393566 ideals in 5 passes
  105. Thu Oct 25 14:12:53 2012 max relations containing the same ideal: 117
  106. Thu Oct 25 14:12:59 2012 relations with 0 large ideals: 9815
  107. Thu Oct 25 14:12:59 2012 relations with 1 large ideals: 2122
  108. Thu Oct 25 14:12:59 2012 relations with 2 large ideals: 20284
  109. Thu Oct 25 14:12:59 2012 relations with 3 large ideals: 178990
  110. Thu Oct 25 14:12:59 2012 relations with 4 large ideals: 875914
  111. Thu Oct 25 14:12:59 2012 relations with 5 large ideals: 2593247
  112. Thu Oct 25 14:12:59 2012 relations with 6 large ideals: 4861142
  113. Thu Oct 25 14:12:59 2012 relations with 7+ large ideals: 13157791
  114. Thu Oct 25 14:12:59 2012 commencing 2-way merge
  115. Thu Oct 25 14:13:13 2012 reduce to 14474684 relation sets and 14168945 unique ideals
  116. Thu Oct 25 14:13:13 2012 commencing full merge
  117. Thu Oct 25 14:17:05 2012 memory use: 1799.9 MB
  118. Thu Oct 25 14:17:06 2012 found 7750103 cycles, need 7709145
  119. Thu Oct 25 14:17:07 2012 weight of 7709145 cycles is about 539710490 (70.01/cycle)
  120. Thu Oct 25 14:17:07 2012 distribution of cycle lengths:
  121. Thu Oct 25 14:17:07 2012 1 relations: 921792
  122. Thu Oct 25 14:17:07 2012 2 relations: 971650
  123. Thu Oct 25 14:17:07 2012 3 relations: 961061
  124. Thu Oct 25 14:17:07 2012 4 relations: 883609
  125. Thu Oct 25 14:17:07 2012 5 relations: 800041
  126. Thu Oct 25 14:17:07 2012 6 relations: 688063
  127. Thu Oct 25 14:17:07 2012 7 relations: 579924
  128. Thu Oct 25 14:17:07 2012 8 relations: 473000
  129. Thu Oct 25 14:17:07 2012 9 relations: 375992
  130. Thu Oct 25 14:17:07 2012 10+ relations: 1054013
  131. Thu Oct 25 14:17:07 2012 heaviest cycle: 23 relations
  132. Thu Oct 25 14:17:08 2012 commencing cycle optimization
  133. Thu Oct 25 14:17:17 2012 start with 41526090 relations
  134. Thu Oct 25 14:18:23 2012 pruned 1107428 relations
  135. Thu Oct 25 14:18:23 2012 memory use: 1327.0 MB
  136. Thu Oct 25 14:18:23 2012 distribution of cycle lengths:
  137. Thu Oct 25 14:18:23 2012 1 relations: 921792
  138. Thu Oct 25 14:18:23 2012 2 relations: 990658
  139. Thu Oct 25 14:18:23 2012 3 relations: 994345
  140. Thu Oct 25 14:18:23 2012 4 relations: 906476
  141. Thu Oct 25 14:18:23 2012 5 relations: 822028
  142. Thu Oct 25 14:18:23 2012 6 relations: 700894
  143. Thu Oct 25 14:18:23 2012 7 relations: 586720
  144. Thu Oct 25 14:18:23 2012 8 relations: 470939
  145. Thu Oct 25 14:18:23 2012 9 relations: 368708
  146. Thu Oct 25 14:18:23 2012 10+ relations: 946585
  147. Thu Oct 25 14:18:23 2012 heaviest cycle: 22 relations
  148. Thu Oct 25 14:18:32 2012 RelProcTime: 2892
  149. Thu Oct 25 14:18:32 2012
  150. Thu Oct 25 14:18:32 2012 commencing linear algebra
  151. Thu Oct 25 14:18:34 2012 read 7709145 cycles
  152. Thu Oct 25 14:18:44 2012 cycles contain 21512912 unique relations
  153. Thu Oct 25 14:22:09 2012 read 21512912 relations
  154. Thu Oct 25 14:22:38 2012 using 20 quadratic characters above 1073740404
  155. Thu Oct 25 14:24:12 2012 building initial matrix
  156. Thu Oct 25 14:27:56 2012 memory use: 2777.4 MB
  157. Thu Oct 25 14:28:09 2012 read 7709145 cycles
  158. Thu Oct 25 14:28:11 2012 matrix is 7708968 x 7709145 (2308.6 MB) with weight 678021082 (87.95/col)
  159. Thu Oct 25 14:28:11 2012 sparse part has weight 520396666 (67.50/col)
  160. Thu Oct 25 14:29:19 2012 filtering completed in 2 passes
  161. Thu Oct 25 14:29:21 2012 matrix is 7707661 x 7707838 (2308.5 MB) with weight 677983896 (87.96/col)
  162. Thu Oct 25 14:29:21 2012 sparse part has weight 520386298 (67.51/col)
  163. Thu Oct 25 14:29:58 2012 matrix starts at (0, 0)
  164. Thu Oct 25 14:30:00 2012 matrix is 7707661 x 7707838 (2308.5 MB) with weight 677983896 (87.96/col)
  165. Thu Oct 25 14:30:00 2012 sparse part has weight 520386298 (67.51/col)
  166. Thu Oct 25 14:30:00 2012 saving the first 48 matrix rows for later
  167. Thu Oct 25 14:30:02 2012 matrix includes 64 packed rows
  168. Thu Oct 25 14:30:03 2012 matrix is 7707613 x 7707838 (2198.0 MB) with weight 540275338 (70.09/col)
  169. Thu Oct 25 14:30:03 2012 sparse part has weight 499104598 (64.75/col)
  170. Thu Oct 25 14:30:03 2012 using block size 262144 for processor cache size 8192 kB
  171. Thu Oct 25 14:30:16 2012 commencing Lanczos iteration (4 threads)
  172. Thu Oct 25 14:30:16 2012 memory use: 2713.4 MB
  173. Thu Oct 25 14:31:25 2012 linear algebra at 0.0%, ETA 93h26m
  174. Thu Oct 25 14:31:48 2012 checkpointing every 90000 dimensions
  175. Mon Oct 29 10:21:41 2012 lanczos halted after 121893 iterations (dim = 7707611)
  176. Mon Oct 29 10:21:51 2012 recovered 38 nontrivial dependencies
  177. Mon Oct 29 10:21:52 2012 BLanczosTime: 335000
  178. Mon Oct 29 10:21:52 2012
  179. Mon Oct 29 10:21:52 2012 commencing square root phase
  180. Mon Oct 29 10:21:52 2012 reading relations for dependency 1
  181. Mon Oct 29 10:21:55 2012 read 3854624 cycles
  182. Mon Oct 29 10:22:00 2012 cycles contain 10759422 unique relations
  183. Mon Oct 29 10:25:18 2012 read 10759422 relations
  184. Mon Oct 29 10:26:13 2012 multiplying 10759422 relations
  185. Mon Oct 29 10:37:09 2012 multiply complete, coefficients have about 300.90 million bits
  186. Mon Oct 29 10:37:12 2012 initial square root is modulo 250793
  187. Mon Oct 29 10:49:25 2012 GCD is N, no factor found
  188. Mon Oct 29 10:49:25 2012 reading relations for dependency 2
  189. Mon Oct 29 10:49:26 2012 read 3851217 cycles
  190. Mon Oct 29 10:49:32 2012 cycles contain 10752358 unique relations
  191. Mon Oct 29 10:52:52 2012 read 10752358 relations
  192. Mon Oct 29 10:53:46 2012 multiplying 10752358 relations
  193. Mon Oct 29 11:04:41 2012 multiply complete, coefficients have about 300.71 million bits
  194. Mon Oct 29 11:04:44 2012 initial square root is modulo 248719
  195. Mon Oct 29 11:16:57 2012 sqrtTime: 3305
  196. Mon Oct 29 11:16:57 2012 prp75 factor: 114916339067230021784753119995693740413235708689698052613188988465629658209
  197. Mon Oct 29 11:16:57 2012 prp117 factor: 125139378949845869877103755284098810677870191019333201729535561474688870760252936591274453638022303479512238400528367
  198. Mon Oct 29 11:16:57 2012 elapsed time 94:46:39
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